Finite Group Databasebeta

← #33993808

Subgroups — #33993808

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 2724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624359C212yesmaximal, complemented
2#22624347C212yesmaximal, complemented
3#22624338C211yesmaximal, characteristic, complemented
4#22624332C211yesmaximal, characteristic, complemented
5#22624330C211yesmaximal, characteristic, complemented
6#22624328C211yesmaximal, characteristic, complemented
7#22624318C212yesmaximal, complemented
8#22624314C211yesmaximal, characteristic, complemented
9#22624305C211yesmaximal, characteristic, complemented
10#22624303C211yesmaximal, characteristic, complemented
11#22624293C212yesmaximal, complemented
12#22624279C214yesmaximal, complemented
13#22624274C212yesmaximal, complemented
14#22624260C212yesmaximal, complemented
15#22624254C212yesmaximal, complemented
16#22624250C212yesmaximal, complemented
17#22624244C214yesmaximal, complemented
18#22624068C214yesmaximal, complemented
19#22623556C212yesmaximal, complemented
20#22623538C212yesmaximal, complemented
21#22623497C211yesmaximal, characteristic, complemented
22#22623488C211yesmaximal, characteristic, complemented
23#22623484C212yesmaximal, complemented
24D4×#11924029C211yesmaximal, characteristic, complemented
25#22623420C212yesmaximal, complemented
26#22623418C211yesmaximal, characteristic, complemented
27#22623354C212yesmaximal, complemented
28#22623351C214yesmaximal, complemented
29#22623346C212yesmaximal, complemented
30#22623263C212yesmaximal, complemented
31#22623259C212yesmaximal, complemented
32#22623228C211yesmaximal, characteristic, complemented
33#22623225C211yesmaximal, characteristic, complemented
34#532×D73C211yesmaximal, characteristic, complemented
35C73×#3547C211yesmaximal, characteristic, complemented
36C22×#11924029C2212yescomplemented
37C2×#41×D73C2212yescomplemented
38C2×#41×D73C2212yescomplemented
39#17989341C2214yescomplemented
40#17989338C2214yescomplemented
41#17989338C2214yescomplemented
42#17989334C2214yescomplemented
43#17989334C2214yescomplemented
44#17989333C2214yescomplemented
45#17989333C2214yescomplemented
46#17989331C2214yescomplemented
47#17989329C2214yescomplemented
48#17989327C2214yescomplemented
49#17989327C2214yescomplemented
50#17989325C2214yescomplemented
51#17989325C2214yescomplemented
52#17989325C2214yescomplemented
53#17989325C2214yescomplemented
54#17989320C2212yescomplemented
55#17989317C2212yescomplemented
56#17989310C2211yescharacteristic, complemented
57#17989308C2212yescomplemented
58#17989307C2211yescharacteristic, complemented
59#17989303C2211yescharacteristic, complemented
60#17989300C2212yescomplemented
61#17989300C2214yescomplemented
62#17989300C2212yescomplemented
63#17989300C2212yescomplemented
64#17989299C2214yescomplemented
65#17989299C2214yescomplemented
66#17989298C2211yescharacteristic, complemented
67#17989295C2212yescomplemented
68#17989293C2212yescomplemented
69#17989292C2212yescomplemented
70#17989290C2212yescomplemented
71#17989285C2212yescomplemented
72#17989284C2212yescomplemented
73#17989283C2212yescomplemented
74#17989282C2214yescomplemented
75#17989281C2212yescomplemented
76#17989279C2212yescomplemented
77#17989278C2212yescomplemented
78#17989276C2212yescomplemented
79#17989276C2212yescomplemented
80#17989275C2212yescomplemented
81#17989269C2214yescomplemented
82#17989267C2214yescomplemented
83#17989266C2214yescomplemented
84#17989264C2214yescomplemented
85#17989262C2214yescomplemented
86#17989262C2214yescomplemented
87#17989261C2214yescomplemented
88#17989259C2211yescharacteristic, complemented
89#17989258C2212yescomplemented
90#17989258C2211yescharacteristic, complemented
91#17989258C2212yescomplemented
92#17989256C2212yescomplemented
93#17989255C2212yescomplemented
94#17989255C2214yescomplemented
95#17989255C2212yescomplemented
96#17989252C2211yescharacteristic, complemented
97Q8×C22⋊D73C2212yescomplemented
98#17989249C2212yescomplemented
99#17989248C2212yescomplemented
100#17989247C2212yescomplemented
101#17989242C2211yescharacteristic, complemented
102#17989241C2211yescharacteristic, complemented
103#17989240C2212yescomplemented
104#17989240C2211yescharacteristic, complemented
105#17989239C2214yescomplemented
106#17989239C2212yescomplemented
107#17989238C2212yescomplemented
108#17989238C2212yescomplemented
109#17989234C2212yescomplemented
110#17989234C2212yescomplemented
111#17989233C2214yescomplemented
112#17989233C2212yescomplemented
113#17989233C2212yescomplemented
114#17989232C2212yescomplemented
115#17989230C2214yescomplemented
116#17989230C2212yescomplemented
117#17989229C2214yescomplemented
118#17989229C2214yescomplemented
119#17989228C2214yescomplemented
120#17989228C2212yescomplemented
121#17989226C2214yescomplemented
122#17989225C2212yescomplemented
123D4×D292C2212yescomplemented
124D4×D292C2211yescharacteristic, complemented
125D4×D292C2211yescharacteristic, complemented
126#17989221C2212yescomplemented
127#17989221C2212yescomplemented
128#17989221C2214yescomplemented
129#17989221C2212yescomplemented
130#17989217C2212yescomplemented
131#17989214C2214yescomplemented
132#17989211C2212yescomplemented
133#17989211C2214yescomplemented
134#17989211C2212yescomplemented
135#17989209C2214yescomplemented
136#17989208C2212yescomplemented
137#17989207C2214yescomplemented
138#17989207C2214yescomplemented
139#17989205C2214yescomplemented
140#17989202C2212yescomplemented
141#17989193C2212yescomplemented
142#17989193C2212yescomplemented
143#17989193C2214yescomplemented
144#17989192C2214yescomplemented
145#17989189C2214yescomplemented
146#17989189C2214yescomplemented
147#17989188C2212yescomplemented
148#17989188C2214yescomplemented
149#17989187C2214yescomplemented
150#17989177C2214yescomplemented
151#17989177C2214yescomplemented
152#17989176C2214yescomplemented
153#17989176C2214yescomplemented
154#17989173C2214yescomplemented
155#17989171C2214yescomplemented
156#17989171C2214yescomplemented
157#17989169C2214yescomplemented
158#17989168C2212yescomplemented
159#17989168C2212yescomplemented
160#17989167C2212yescomplemented
161#17989167C2212yescomplemented
162#17989167C2212yescomplemented
163#17989167C2212yescomplemented
164#17989167C2214yescomplemented
165#17989166C2212yescomplemented
166#17989165C2212yescomplemented
167#17989165C2212yescomplemented
168#17989162C2214yescomplemented
169#17989161C2212yescomplemented
170#17989160C2214yescomplemented
171#17989160C2212yescomplemented
172#17989160C2212yescomplemented
173#17989156C2212yescomplemented
174#17989156C2212yescomplemented
175#17989156C2212yescomplemented
176#17989155C2214yescomplemented
177#17989155C2214yescomplemented
178#17989153C2214yescomplemented
179#17989153C2212yescomplemented
180#17989153C2212yescomplemented
181#17989153C2214yescomplemented
182#17989153C2212yescomplemented
183#17989151C2212yescomplemented
184#17989150C2212yescomplemented
185#17989148C2214yescomplemented
186#17989148C2214yescomplemented
187#17989145C2214yescomplemented
188#17989145C2214yescomplemented
189#17989143C2211yescharacteristic, complemented
190#17989142C2211yescharacteristic, complemented
191#17989142C2211yescharacteristic, complemented
192#17989141C2211yescharacteristic, complemented
193#17989139C2211yescharacteristic, complemented
194#17989138C2211yescharacteristic
195#17989138C2214yescomplemented
196#17989138C2212yescomplemented
197#17989138C2211yescharacteristic, complemented
198#17989138C2211yescharacteristic, complemented
199#17989137C2211yescharacteristic, complemented
200#17989137C2211yescharacteristic, complemented
201#17989136C2211yescharacteristic
202#17989136C2214yescomplemented
203#17989136C2214yescomplemented
204#17989136C2212yescomplemented
205#17989135C2211yescharacteristic, complemented
206#17989134C2211yescharacteristic
207#17989134C2211yescharacteristic, complemented
208#17989134C2211yescharacteristic, complemented
209#17989134C2212yescomplemented
210#17989133C2212yescomplemented
211#17989132C2211yescharacteristic
212#17989132C2214yescomplemented
213#17989132C2214yescomplemented
214#17989132C2211yescharacteristic, complemented
215#17989132C2211yescharacteristic, complemented
216#17989132C2212yescomplemented
217#17989132C2212yescomplemented
218C4⋊Q8×D73C2211yescharacteristic, complemented
219#127×D73C2211yescharacteristic
220#17989124C2212yescomplemented
221#17989124C2212yescomplemented
222#17989123C2214yescomplemented
223#17989123C2212yescomplemented
224#17989123C2212yescomplemented
225#17989122C2212yescomplemented
226#17989122C2212yescomplemented
227#17989122C2214yescomplemented
228#17989122C2211yescharacteristic, complemented
229#17989122C2212yescomplemented
230#17989121C2211yescharacteristic, complemented
231#17989120C2212yescomplemented
232#17989120C2214yescomplemented
233#17989120C2212yescomplemented
234#17989118C2212yescomplemented
235#17989116C2214yescomplemented
236#17989116C2211yescharacteristic, complemented
237#17989115C2212yescomplemented
238#17989114C2212yescomplemented
239#17989114C2214yescomplemented
240#124×D73C2212yescomplemented
241#17989100C2212yescomplemented
242#17989100C2212yescomplemented
243#17989100C2214yescomplemented
244#17989100C2212yescomplemented
245#17989100C2211yescharacteristic, complemented
246#17989100C2212yescomplemented
247#17989100C2214yescomplemented
248#17989100C2214yescomplemented
249#17989100C2212yescomplemented
250#17989099C2212yescomplemented
251#17989097C2212yescomplemented
252#17989097C2211yescharacteristic, complemented
253#17989097C2214yescomplemented
254#17989097C2214yescomplemented
255#17989096C2212yescomplemented
256#17989095C2214yescomplemented
257#17989095C2214yescomplemented
258#17989095C2214yescomplemented
259#17989095C2212yescomplemented
260#121×D73C2212yescomplemented
261#121×D73C2211yescharacteristic, complemented
262#121×D73C2211yescharacteristic, complemented
263C4×#11924029C2211yescharacteristic, complemented
264C4×#11924029C2212yescomplemented
265C4×#11924029C2212yescomplemented
266#17989055C2212yescomplemented
267#17989055C2212yescomplemented
268#17989055C2214yescomplemented
269#17989055C2212yescomplemented
270C4×#11924027C2211yescharacteristic, complemented
271C4×#11924027C2212yescomplemented
272C4×#11924027C2212yescomplemented
273C2×#14556553C2212yescomplemented
274C4×D4×D73C2211yescharacteristic, complemented
275C4×D4×D73C2211yescharacteristic, complemented
276C4×D4×D73C2212yescomplemented
277C4×D4×D73C2214yescomplemented
278C4×D4×D73C2212yescomplemented
279C2×#14556549C2212yescomplemented
280#117×D73C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#562×C73C2214yescomplemented
283#555×C73C2211yescharacteristic, complemented
284#555×C73C2212yescomplemented
285#554×C73C2211yescharacteristic, complemented
286#553×C73C2212yescomplemented
287#552×C73C2212yescomplemented
288D4×Q8×C73C2211yescharacteristic, complemented
289#548×C73C2212yescomplemented
290#547×C73C2211yescharacteristic, complemented
291#544×C73C2212yescomplemented
292#542×C73C2214yescomplemented
293#540×C73C2212yescomplemented
294#537×C73C2212yescomplemented
295#536×C73C2212yescomplemented
296#533×C73C2211yescharacteristic, complemented
297#532×C73C2211yescharacteristic, complemented
298#529×C73C2211yescharacteristic, complemented
299C2×#11924029—48no—
300C2×#11924029C2311yescharacteristic
301C2×#11924029C2312yes—
302C2×#11924029C2314yes—
303C2×#11924029C2312yes—
304C2×#11924029C2312yes—
305C2×#11924029C2314yes—
306C2×#11924029C2312yes—
307C2×#11924029C2312yes—
308C2×#11924028C2312yes—
309C2×#11924028C2312yes—
310C2×#11924028C2312yes—
311C2×#11924028C2312yes—
312C2×#11924028C2312yes—
313C2×#11924028C2314yes—
314C2×#11924028C2314yes—
315C2×#11924028C2312yes—
316C2×#11924028C2312yes—
317C2×#11924027C2311yescharacteristic
318C2×#11924027C2312yes—
319C2×#11924027C2312yes—
320C2×#11924027C2314yes—
321C2×#11924027C2312yes—
322C2×#11924027C2312yes—
323C2×#11924027C2312yes—
324#41×D73—48no—
325#41×D73—48no—
326C2×Q8×D73C2312yes—
327C2×Q8×D73C2312yes—
328C22×D292C2314yes—
329C22×D292C2312yes—
330C22×D292C2312yes—
331C2×D4×D73C2312yes—
332C2×D4×D73C2312yes—
333C2×D4×D73C2311yescharacteristic
334C2×D4×D73C2311yescharacteristic
335C2×D4×D73C2312yes—
336C2×D4×D73C2314yes—
337C2×D4×D73C2312yes—
338C2×D4×D73C2312yes—
339C2×D4×D73C2312yes—
340C2×D4×D73C2314yes—
341C22×C4×D73C2311yescharacteristic
342C22×C4×D73C2312yes—
343C22×C4×D73C2312yes—
344C22×C4×D73C2314yes—
345C22×C4×D73C2314yes—
346C22×C4×D73C2311yescharacteristic
347C22×C4×D73C2311yescharacteristic
348#14556591C2311yescharacteristic
349#14556591C2311yescharacteristic
350#14556590C2311yescharacteristic
351#14556590C2311yescharacteristic
352#14556590C2312yes—
353#14556590C2311yescharacteristic
354#14556590C2314yes—
355#14556590C2314yes—
356#14556590C2312yes—
357#14556590C2311yescharacteristic
358#14556589C2312yes—
359#14556589C2311yescharacteristic
360#14556589C2314yes—
361#14556589C2314yes—
362#14556588C2311yescharacteristic
363#14556588C2311yescharacteristic
364#14556588C2314yes—
365#14556588C2312yes—
366#14556587C2311yescharacteristic
367#14556587C2311yescharacteristic
368#14556587C2312yes—
369#14556587C2312yes—
370#14556587C2311yescharacteristic
371#14556587C2312yes—
372#14556587C2314yes—
373#14556587C2314yes—
374#14556587C2314yes—
375#14556587C2314yes—
376#14556586C2314yes—
377#14556586C2314yes—
378#14556586C2314yes—
379#14556586C2314yes—
380#14556586C2314yes—
381#14556586C2312yes—
382#14556586C2314yes—
383#14556586C2314yes—
384#14556586C2314yes—
385#14556585C2312yes—
386#14556585C2314yes—
387#14556584C2314yes—
388#14556584C2314yes—
389#14556584C2314yes—
390#14556584C2314yes—
391#14556584C2312yes—
392#14556583C2311yescharacteristic
393#14556583C2314yes—
394#14556582C2312yes—
395#14556582C2312yes—
396#14556582C2314yes—
397#14556582C2312yes—
398#14556581C2312yes—
399#14556581C2312yes—
400#14556581C2314yes—
401#14556581C2314yes—
402#14556580C2312yes—
403#14556580C2312yes—
404#14556580C2314yes—
405#14556580C2312yes—
406#14556580C2314yes—
407#14556580C2314yes—
408#14556580C2314yes—
409#14556579C2311yescharacteristic
410#14556579C2312yes—
411#14556579C2312yes—
412#14556579C2314yes—
413#14556579C2312yes—
414#14556579C2314yes—
415#14556579C2314yes—
416#14556578C2312yes—
417#14556578C2312yes—
418#14556577C2312yes—
419#14556577C2312yes—
420#14556577C2314yes—
421#14556577C2312yes—
422#14556577C2312yes—
423#14556577C2312yes—
424#14556577C2312yes—
425#14556577C2314yes—
426#14556577C2314yes—
427#14556577C2314yes—
428#14556577C2314yes—
429#14556577C2314yes—
430#14556577C2314yes—
431#14556576C2312yes—
432#14556576C2312yes—
433#14556576C2314yes—
434#14556576C2314yes—
435#14556576C2314yes—
436#14556576C2314yes—
437#14556576C2314yes—
438#14556576C2314yes—
439#14556576C2314yes—
440#14556576C2314yes—
441#14556576C2314yes—
442#14556576C2314yes—
443#14556576C2314yes—
444#14556576C2314yes—
445#14556576C2314yes—
446#14556576C2314yes—
447#14556576C2314yes—
448#14556575C2314yes—
449#14556575C2314yes—
450#14556575C2314yes—
451#14556574C2312yes—
452#14556574C2314yes—
453#14556574C2314yes—
454#14556574C2314yes—
455#14556574C2314yes—
456#14556573C2312yes—
457#14556573C2312yes—
458#14556573C2314yes—
459#14556573C2314yes—
460#14556573C2314yes—
461#14556573C2314yes—
462#14556573C2314yes—
463#14556573C2314yes—
464#14556573C2314yes—
465#14556573C2314yes—
466#14556572C2314yes—
467#14556571C2311yescharacteristic
468#14556571C2312yes—
469#14556571C2312yes—
470#14556571C2312yes—
471#14556571C2314yes—
472#14556571C2312yes—
473#14556571C2314yes—
474#14556571C2314yes—
475#14556570C2311yescharacteristic
476#14556570C2312yes—
477#14556570C2314yes—
478#14556570C2312yes—
479#14556570C2314yes—
480#14556569C2312yes—
481#14556569C2312yes—
482#14556569C2314yes—
483#14556569C2312yes—
484#14556569C2314yes—
485#14556569C2314yes—
486#14556569C2314yes—
487#14556569C2314yes—
488#14556569C2314yes—
489#14556569C2314yes—
490#14556568C2312yes—
491#14556568C2314yes—
492#14556567C2312yes—
493#14556567C2312yes—
494#14556567C2311yescharacteristic
495#14556567C2314yes—
496#14556567C2312yes—
497#14556567C2312yes—
498#14556567C2312yes—
499#14556567C2314yes—
500#14556567C2314yes—
501#14556567C2314yes—
502#14556566C2311yescharacteristic
503#14556566C2312yes—
504#14556566C2312yes—
505#14556566C2312yes—
506#14556566C2314yes—
507#14556566C2312yes—
508#14556566C2312yes—
509#14556566C2311yescharacteristic
510#14556566C2311yescharacteristic
511#14556566C2312yes—
512#14556566C2314yes—
513#14556566C2314yes—
514#14556566C2314yes—
515#14556566C2314yes—
516#14556566C2312yes—
517#14556566C2312yes—
518#14556566C2314yes—
519#14556566C2314yes—
520#14556566C2312yes—
521#14556566C2312yes—
522#14556566C2312yes—
523#14556566C2314yes—
524#14556566C2314yes—
525#14556565C2311yescharacteristic
526#14556565C2312yes—
527#14556565C2312yes—
528#14556565C2314yes—
529#14556565C2311yescharacteristic
530#14556565C2311yescharacteristic
531#14556565C2312yes—
532#14556565C2314yes—
533#14556565C2314yes—
534#14556565C2312yes—
535#14556565C2312yes—
536#14556565C2312yes—
537#14556565C2314yes—
538#14556565C2312yes—
539#14556565C2314yes—
540#14556565C2314yes—
541#14556564C2312yes—
542#14556564C2312yes—
543#14556564C2314yes—
544#14556564C2312yes—
545#14556564C2312yes—
546#14556564C2312yes—
547#14556564C2312yes—
548#14556564C2312yes—
549#14556564C2314yes—
550#14556564C2314yes—
551#14556564C2314yes—
552#14556564C2314yes—
553#14556564C2314yes—
554#14556564C2314yes—
555#14556564C2314yes—
556#14556564C2314yes—
557#14556564C2314yes—
558#14556564C2314yes—
559#14556564C2314yes—
560#14556564C2314yes—
561#14556564C2314yes—
562#14556564C2314yes—
563#14556563C2312yes—
564#14556563C2312yes—
565#14556563C2312yes—
566#14556563C2312yes—
567#14556563C2314yes—
568#14556563C2314yes—
569#14556563C2314yes—
570#14556563C2314yes—
571#14556563C2314yes—
572#14556563C2312yes—
573#14556563C2314yes—
574#14556562C2311yescharacteristic
575#14556562C2311yescharacteristic
576#14556562C2312yes—
577#14556562C2311yescharacteristic
578#14556562C2312yes—
579#14556562C2314yes—
580#14556562C2314yes—
581#14556562C2314yes—
582#14556561C2314yes—
583#14556561C2314yes—
584#14556561C2314yes—
585#14556561C2314yes—
586#14556561C2312yes—
587#14556561C2314yes—
588#14556561C2314yes—
589#14556561C2314yes—
590#14556561C2314yes—
591#14556561C2314yes—
592#14556561C2314yes—
593#14556561C2314yes—
594#14556561C2314yes—
595#14556561C2314yes—
596#14556559C2312yes—
597#14556559C2314yes—
598#14556559C2314yes—
599#14556559C2314yes—
600#14556559C2314yes—
601#14556559C2314yes—
602#14556559C2314yes—
603#14556559C2314yes—
604#14556559C2314yes—
605Q8×Dic73C2312yes—
606Q8×Dic73C2312yes—
607Q8×Dic73C2311yescharacteristic
608C4×Dic146C2311yescharacteristic
609C4×Dic146C2312yes—
610C4×Dic146C2312yes—
611#14556556C2312yes—
612#14556556C2312yes—
613#14556556C2312yes—
614#14556556C2312yes—
615#14556556C2311yescharacteristic
616#14556556C2312yes—
617#14556556C2314yes—
618#14556556C2312yes—
619C4×D292C2311yescharacteristic
620C4×D292C2312yes—
621C4×D292C2312yes—
622C4×D292C2314yes—
623C4×D292C2314yes—
624C4×D292C2311yescharacteristic
625C4×D292C2312yes—
626C4×D292C2311yescharacteristic
627C4×D292C2312yes—
628C4×D292C2314yes—
629C4×D292C2312yes—
630D4×Dic73C2311yescharacteristic
631D4×Dic73C2311yescharacteristic
632D4×Dic73C2312yes—
633D4×Dic73C2312yes—
634D4×Dic73C2311yescharacteristic
635D4×Dic73C2314yes—
636#14556553C2314yes—
637#14556553C2312yes—
638#14556553C2312yes—
639#14556553C2311yescharacteristic
640#14556553C2312yes—
641#14556553C2314yes—
642#14556553C2312yes—
643#14556553C2314yes—
644#14556553C2314yes—
645#14556553C2311yescharacteristic
646#14556553C2312yes—
647#14556553C2312yes—
648#14556553C2314yes—
649#14556553C2312yes—
650#14556553C2312yes—
651#14556553C2311yescharacteristic
652#14556553C2314yes—
653#14556553C2312yes—
654#14556553C2312yes—
655#14556553C2314yes—
656#14556553C2312yes—
657C4×C22⋊D73C2312yes—
658C4×C22⋊D73C2312yes—
659C4×C22⋊D73C2312yes—
660C4×C22⋊D73C2312yes—
661C4×C22⋊D73C2312yes—
662C4×C22⋊D73C2312yes—
663C4×C22⋊D73C2314yes—
664C4×C22⋊D73C2314yes—
665C4×C22⋊D73C2314yes—
666C4×C22⋊D73C2314yes—
667C4×C22⋊D73C2312yes—
668#14556551C2312yes—
669#14556551C2312yes—
670#14556551C2312yes—
671#14556551C2314yes—
672#14556551C2312yes—
673#14556551C2312yes—
674#14556551C2312yes—
675#14556551C2314yes—
676#14556551C2314yes—
677#14556551C2314yes—
678#14556551C2312yes—
679#14556551C2312yes—
680#14556551C2314yes—
681#14556551C2314yes—
682#14556551C2312yes—
683#14556551C2312yes—
684#14556551C2314yes—
685#14556551C2312yes—
686#14556551C2314yes—
687#14556551C2314yes—
688#14556550C2312yes—
689#14556549C2314yes—
690#14556549C2312yes—
691#14556549C2312yes—
692#14556549C2314yes—
693#14556549C2314yes—
694#14556549C2312yes—
695#14556549C2312yes—
696#14556549C2311yescharacteristic
697#14556549C2311yescharacteristic
698#14556549C2314yes—
699#14556549C2312yes—
700#14556549C2312yes—
701#14556549C2312yes—
702#14556548C2312yes—
703#14556548C2314yes—
704#14556548C2312yes—
705#14556548C2314yes—
706#14556548C2314yes—
707#14556548C2314yes—
708#14556548C2314yes—
709#14556547C2312yes—
710#14556547C2314yes—
711#14556547C2312yes—
712#14556547C2312yes—
713#14556547C2314yes—
714C2×C4⋊Dic73C2312yes—
715C4⋊C4×D73C2311yescharacteristic
716C4⋊C4×D73C2312yes—
717C4⋊C4×D73C2311yescharacteristic
718C4⋊C4×D73C2312yes—
719C4⋊C4×D73C2312yes—
720C4⋊C4×D73C2312yes—
721C4⋊C4×D73C2314yes—
722C2×#11924005C2314yes—
723C2×#11924005C2314yes—
724C22⋊C4×D73C2314yes—
725C22⋊C4×D73C2314yes—
726C22⋊C4×D73C2314yes—
727C22⋊C4×D73C2314yes—
728C22⋊C4×D73C2312yes—
729C22⋊C4×D73C2312yes—
730C22⋊C4×D73C2312yes—
731C22⋊C4×D73C2312yes—
732C2×C4×Dic73C2311yescharacteristic
733C2×C4×Dic73C2311yescharacteristic
734C2×C4×Dic73C2314yes—
735C2×C4×Dic73C2311yescharacteristic
736C2×C4×Dic73C2312yes—
737C42×D73C2311yescharacteristic
738C42×D73C2311yescharacteristic
739C42×D73C2314yes—
740C42×D73C2311yescharacteristic
741C42×D73C2311yescharacteristic
742C42×D73C2311yescharacteristic
743C42×D73C2314yes—
744C42×D73C2312yes—
745C42×D73C2311yescharacteristic
746C42×D73C2311yescharacteristic
747C42×D73C2311yescharacteristic
748C2×#41×C73C2312yes—
749C2×#41×C73C2312yes—
750C22×Q8×C73C2312yes—
751C4⋊Q8×C73C2311yescharacteristic
752C4⋊Q8×C73C2311yescharacteristic
753C4⋊Q8×C73C2311yescharacteristic
754C4⋊Q8×C73C2314yes—
755C4⋊Q8×C73C2312yes—
756#127×C73C2311yescharacteristic
757#126×C73C2312yes—
758#126×C73C2314yes—
759#125×C73C2312yes—
760#125×C73C2311yescharacteristic
761#125×C73C2314yes—
762#125×C73C2312yes—
763#124×C73C2311yescharacteristic
764#124×C73C2314yes—
765#124×C73C2312yes—
766#124×C73C2314yes—
767#124×C73C2314yes—
768#123×C73C2314yes—
769#123×C73C2314yes—
770#123×C73C2314yes—
771#123×C73C2314yes—
772#123×C73C2312yes—
773C22⋊Q8×C73C2312yes—
774C22⋊Q8×C73C2314yes—
775C22⋊Q8×C73C2312yes—
776C22⋊Q8×C73C2311yescharacteristic
777C22⋊Q8×C73C2314yes—
778C22⋊Q8×C73C2312yes—
779C22⋊Q8×C73C2312yes—
780C22⋊Q8×C73C2312yes—
781C22⋊Q8×C73C2314yes—
782C22⋊Q8×C73C2314yes—
783#121×C73C2311yescharacteristic
784#121×C73C2314yes—
785#121×C73C2314yes—
786#121×C73C2311yescharacteristic
787#121×C73C2312yes—
788#121×C73C2311yescharacteristic
789#121×C73C2312yes—
790#121×C73C2312yes—
791#121×C73C2312yes—
792#121×C73C2314yes—
793#121×C73C2314yes—
794C4×Q8×C73C2312yes—
795C4×Q8×C73C2312yes—
796C4×Q8×C73C2311yescharacteristic
797C4×D4×C73C2311yescharacteristic
798C4×D4×C73C2311yescharacteristic
799C4×D4×C73C2312yes—
800C4×D4×C73C2311yescharacteristic
801C4×D4×C73C2312yes—
802C4×D4×C73C2314yes—
803C4×D4×C73C2312yes—
804C4×D4×C73C2312yes—
805#117×C73C2312yes—
806#117×C73C2312yes—
807#117×C73C2312yes—
808#117×C73C2314yes—
809#117×C73C2312yes—
810C2×C4⋊C4×C73C2312yes—
811C2×C4⋊C4×C73C2312yes—
812C2×C42×C73C2311yescharacteristic
813C23×D73C2412yes—
814C23×D73C2412yes—
815C23×D73C2411yescharacteristic
816C23×D73C2414yes—
817C23×D73C2414yes—
818#11924029—28no—
819#11924029—24no—
820#11924029—44no—
821#11924029—48no—
822#11924029—44no—
823#11924029—48no—
824#11924029—44no—
825#11924029—44no—
826#11924028—48no—
827#11924028—44no—
828#11924028—44no—
829#11924028—44no—
830#11924028—44no—
831#11924028—44no—
832#11924028—44no—
833#11924028—44no—
834#11924028—48no—
835#11924027—24no—
836#11924027—44no—
837#11924027—44no—
838#11924027—44no—
839#11924027—44no—
840#11924027—44no—
841#11924027—48no—
842C2×Dic146C2412yes—
843C2×Dic146C2412yes—
844C2×Dic146C2411yescharacteristic
845C2×Dic146C2412yes—
846C2×Dic146C2412yes—
847C2×Dic146C2412yes—
848C2×Dic146C2414yes—
849C2×Dic146C2412yes—
850Q8×D73—44no—
851Q8×D73—44no—
852C2×D292—44no—
853C2×D292—44no—
854C2×D292—48no—
855C2×D292C2411yescharacteristic
856C2×D292C2412yes—
857C2×D292C2411yescharacteristic
858C2×D292C2412yes—
859C2×D292C2414yes—
860C2×D292C2411yescharacteristic
861C2×D292C2412yes—
862C2×D292C2414yes—
863C2×D292C2412yes—
864C2×D292C2414yes—
865C2×D292C2412yes—
866C2×D292C2414yes—
867C2×D292C2414yes—
868C2×D292C2412yes—
869C2×D292C2414yes—
870C2×D292C2412yes—
871C2×D292C2412yes—
872C2×D292C2414yes—
873C2×D292C2414yes—
874C2×D292C2412yes—
875C2×C22⋊D73C2412yes—
876C2×C22⋊D73C2412yes—
877C2×C22⋊D73C2412yes—
878C2×C22⋊D73C2412yes—
879C2×C22⋊D73C2412yes—
880C2×C22⋊D73C2414yes—
881C2×C22⋊D73C2414yes—
882C2×C22⋊D73C2414yes—
883C2×C22⋊D73C2412yes—
884C2×C22⋊D73C2414yes—
885C2×C22⋊D73C2412yes—
886C2×C22⋊D73C2412yes—
887C2×C22⋊D73C2414yes—
888C2×C22⋊D73C2412yes—
889C2×C22⋊D73C2412yes—
890C2×C22⋊D73C2412yes—
891C2×C22⋊D73C2414yes—
892C2×C22⋊D73C2414yes—
893C2×C22⋊D73C2412yes—
894C2×C22⋊D73C2412yes—
895C2×C22⋊D73C2412yes—
896C2×C22⋊D73C2412yes—
897D4×D73—42no—
898D4×D73—42no—
899D4×D73—44no—
900D4×D73—44no—
901D4×D73—44no—
902D4×D73—48no—
903D4×D73—44no—
904D4×D73—44no—
905D4×D73—44no—
906D4×D73—48no—
907C22×Dic73C2411yescharacteristic
908C22×Dic73C2411yescharacteristic
909C22×Dic73C2412yes—
910C22×Dic73C2412yes—
911C22×Dic73C2412yes—
912C22×Dic73C2411yescharacteristic
913C22×Dic73C2412yes—
914C22×Dic73C2414yes—
915C2×C4×D73—24no—
916C2×C4×D73—28no—
917C2×C4×D73—28no—
918C2×C4×D73—42no—
919C2×C4×D73—48no—
920C2×C4×D73—48no—
921C2×C4×D73—42no—
922C2×C4×D73C2411yescharacteristic
923C2×C4×D73C2411yescharacteristic
924C2×C4×D73C2411yescharacteristic
925C2×C4×D73C2411yescharacteristic
926C2×C4×D73C2412yes—
927C2×C4×D73C2411yescharacteristic
928C2×C4×D73C2411yescharacteristic
929C2×C4×D73C2411yescharacteristic
930C2×C4×D73C2414yes—
931C2×C4×D73C2412yes—
932C2×C4×D73C2412yes—
933C2×C4×D73C2414yes—
934C2×C4×D73C2412yes—
935C2×C4×D73C2412yes—
936C2×C4×D73C2412yes—
937C2×C4×D73C2412yes—
938C2×C4×D73C2412yes—
939C2×C4×D73C2411yescharacteristic
940C2×C4×D73C2411yescharacteristic
941C2×C4×D73C2411yescharacteristic
942C2×C4×D73C2411yescharacteristic
943C2×C4×D73C2414yes—
944C2×C4×D73C2412yes—
945C2×C4×D73C2414yes—
946C2×C4×D73C2414yes—
947C2×C4×D73C2414yes—
948C2×C4×D73C2414yes—
949C2×C4×D73C2414yes—
950C2×C4×D73C2414yes—
951C2×C4×D73C2411yescharacteristic
952C4⋊Dic73C2411yescharacteristic
953C4⋊Dic73C2411yescharacteristic
954C4⋊Dic73C2412yes—
955C4⋊Dic73C2411yescharacteristic
956C4⋊Dic73C2412yes—
957C4⋊Dic73C2414yes—
958C4⋊Dic73C2411yescharacteristic
959C4⋊Dic73C2414yes—
960C4⋊Dic73C2412yes—
961C4⋊Dic73C2414yes—
962C4⋊Dic73C2414yes—
963C4⋊Dic73C2412yes—
964C4⋊Dic73C2412yes—
965#11924007C2412yes—
966#11924007C2412yes—
967#11924007C2414yes—
968#11924007C2414yes—
969#11924007C2412yes—
970#11924007C2412yes—
971#11924007C2412yes—
972#11924007C2414yes—
973#11924007C2412yes—
974#11924007C2414yes—
975#11924007C2412yes—
976#11924007C2412yes—
977#11924007C2412yes—
978#11924007C2414yes—
979#11924007C2412yes—
980#11924007C2412yes—
981#11924007C2412yes—
982#11924007C2414yes—
983#11924007C2414yes—
984#11924007C2414yes—
985#11924007C2412yes—
986#11924007C2412yes—
987C22⋊Dic73C2412yes—
988C22⋊Dic73C2412yes—
989C22⋊Dic73C2414yes—
990C22⋊Dic73C2414yes—
991C22⋊Dic73C2412yes—
992C22⋊Dic73C2414yes—
993C22⋊Dic73C2412yes—
994C22⋊Dic73C2412yes—
995C22⋊Dic73C2412yes—
996C22⋊Dic73C2412yes—
997#11924005C2412yes—
998#11924005C2412yes—
999#11924005C2412yes—
1000#11924005C2412yes—
1001#11924005C2414yes—
1002#11924005C2414yes—
1003#11924005C2412yes—
1004#11924005C2412yes—
1005#11924005C2414yes—
1006#11924005C2412yes—
1007#11924005C2412yes—
1008#11924005C2414yes—
1009#11924005C2412yes—
1010#11924005C2414yes—
1011#11924005C2412yes—
1012#11924005C2412yes—
1013#11924005C2414yes—
1014#11924005C2414yes—
1015#11924005C2414yes—
1016#11924005C2414yes—
1017#11924005C2412yes—
1018#11924005C2412yes—
1019#11924005C2414yes—
1020#11924005C2414yes—
1021#11924005C2412yes—
1022#11924005C2414yes—
1023#11924005C2414yes—
1024#11924005C2414yes—
1025#11924005C2412yes—
1026#11924005C2414yes—
1027#11924005C2412yes—
1028#11924005C2414yes—
1029#11924005C2414yes—
1030#11924005C2414yes—
1031#11924005C2414yes—
1032#11924005C2412yes—
1033#11924005C2412yes—
1034#11924005C2414yes—
1035C4×Dic73C2411yescharacteristic
1036C4×Dic73C2411yescharacteristic
1037C4×Dic73C2412yes—
1038C4×Dic73C2411yescharacteristic
1039C4×Dic73C2411yescharacteristic
1040C4×Dic73C2414yes—
1041C4×Dic73C2411yescharacteristic
1042C4×Dic73C2411yescharacteristic
1043C4×Dic73C2411yescharacteristic
1044C4×Dic73C2411yescharacteristic
1045C4×Dic73C2411yescharacteristic
1046C4×Dic73C2411yescharacteristic
1047C4×Dic73C2411yescharacteristic
1048C4×Dic73C2411yescharacteristic
1049C4×Dic73C2412yes—
1050C4×Dic73C2412yes—
1051C4×Dic73C2414yes—
1052C4×Dic73C2414yes—
1053C4×Dic73C2414yes—
1054C4×Dic73C2412yes—
1055C4×Dic73C2412yes—
1056C4×Dic73C2414yes—
1057#41×C73—44no—
1058#41×C73—44no—
1059C2×Q8×C73—44no—
1060C2×Q8×C73C2411yescharacteristic
1061C2×Q8×C73C2412yes—
1062C2×Q8×C73C2412yes—
1063C2×Q8×C73C2414yes—
1064C2×Q8×C73C2412yes—
1065C2×D4×C73C2411yescharacteristic
1066C2×D4×C73C2411yescharacteristic
1067C2×D4×C73C2411yescharacteristic
1068C2×D4×C73C2412yes—
1069C2×D4×C73C2414yes—
1070C2×D4×C73C2412yes—
1071C2×D4×C73C2412yes—
1072C2×D4×C73C2414yes—
1073C2×D4×C73C2412yes—
1074C2×D4×C73C2412yes—
1075C22×C4×C73C2411yescharacteristic
1076C22×C4×C73C2411yescharacteristic
1077C22×C4×C73C2412yes—
1078C22×C4×C73C2412yes—
1079C22×C4×C73C2412yes—
1080C22×C4×C73C2411yescharacteristic
1081C22×C4×C73C2414yes—
1082C22×C4×C73C2414yes—
1083C22×C4×C73C2414yes—
1084C4⋊C4×C73C2411yescharacteristic
1085C4⋊C4×C73C2411yescharacteristic
1086C4⋊C4×C73C2412yes—
1087C4⋊C4×C73C2412yes—
1088C4⋊C4×C73C2414yes—
1089C4⋊C4×C73C2414yes—
1090C4⋊C4×C73C2412yes—
1091C4⋊C4×C73C2411yescharacteristic
1092C4⋊C4×C73C2411yescharacteristic
1093C4⋊C4×C73C2412yes—
1094C4⋊C4×C73C2414yes—
1095C4⋊C4×C73C2412yes—
1096C4⋊C4×C73C2412yes—
1097C4⋊C4×C73C2412yes—
1098C4⋊C4×C73C2414yes—
1099C4⋊C4×C73C2414yes—
1100C4⋊C4×C73C2414yes—
1101C4⋊C4×C73C2412yes—
1102C4⋊C4×C73C2412yes—
1103C22⋊C4×C73C2412yes—
1104C22⋊C4×C73C2412yes—
1105C22⋊C4×C73C2412yes—
1106C22⋊C4×C73C2414yes—
1107C22⋊C4×C73C2414yes—
1108C22⋊C4×C73C2414yes—
1109C22⋊C4×C73C2414yes—
1110C22⋊C4×C73C2412yes—
1111C22⋊C4×C73C2412yes—
1112C22⋊C4×C73C2414yes—
1113C22⋊C4×C73C2412yes—
1114C22⋊C4×C73C2414yes—
1115C22⋊C4×C73C2412yes—
1116C22⋊C4×C73C2412yes—
1117C22⋊C4×C73C2412yes—
1118C42×C73C2411yescharacteristic
1119C42×C73C2411yescharacteristic
1120C42×C73C2411yescharacteristic
1121C42×C73C2411yescharacteristic
1122C42×C73C2414yes—
1123C42×C73C2414yes—
1124C42×C73C2412yes—
1125C23×C73C2512yes—
1126C23×C73C2512yes—
1127C23×C73C2511yescharacteristic
1128C23×C73C2512yes—
1129C22×D73—22no—
1130C22×D73—24no—
1131C22×D73—24no—
1132C22×D73—41no—
1133C22×D73—41no—
1134C22×D73—44no—
1135C22×D73—44no—
1136C22×D73—42no—
1137C22×D73—42no—
1138C22×D73—42no—
1139C22×D73—42no—
1140C22×D73—44no—
1141C22×D73—44no—
1142C22×D73—44no—
1143C22×D73—44no—
1144C22×D73C2512yes—
1145C22×D73C2512yes—
1146C22×D73C2514yes—
1147C22×D73C2512yes—
1148C22×D73C2511yescharacteristic
1149C22×D73C2511yescharacteristic
1150Q8×C73—22no—
1151Q8×C73—24no—
1152Q8×C73—44no—
1153Q8×C73—42no—
1154Q8×C73—42no—
1155D4×C73—22no—
1156D4×C73—22no—
1157D4×C73—22no—
1158D4×C73—42no—
1159D4×C73—42no—
1160D4×C73—42no—
1161D4×C73—44no—
1162D4×C73—42no—
1163D4×C73—44no—
1164D4×C73—42no—
1165C2×C4×C73—24no—
1166C2×C4×C73—22no—
1167C2×C4×C73—24no—
1168C2×C4×C73—22no—
1169C2×C4×C73—24no—
1170C2×C4×C73—44no—
1171C2×C4×C73—44no—
1172C2×C4×C73—41no—
1173C2×C4×C73—44no—
1174C2×C4×C73C2511yescharacteristic
1175C2×C4×C73C2512yes—
1176C2×C4×C73C2511yescharacteristic
1177C2×C4×C73C2514yes—
1178C2×C4×C73C2512yes—
1179C2×C4×C73C2511yescharacteristic
1180C2×C4×C73C2511yescharacteristic
1181C2×C4×C73C2512yes—
1182C2×C4×C73C2512yes—
1183C2×C4×C73C2514yes—
1184C2×C4×C73C2512yes—
1185C2×C4×C73C2511yescharacteristic
1186C2×C4×C73C2511yescharacteristic
1187C22⋊D73—24no—
1188C22⋊D73—24no—
1189C22⋊D73—24no—
1190C22⋊D73—24no—
1191C22⋊D73—44no—
1192C22⋊D73—42no—
1193C22⋊D73—42no—
1194C22⋊D73—44no—
1195C22⋊D73—42no—
1196C22⋊D73—42no—
1197C22⋊D73—42no—
1198C22⋊D73—42no—
1199C22⋊D73—44no—
1200C22⋊D73—42no—
1201C22⋊D73—42no—
1202C22⋊D73—44no—
1203C22⋊D73—42no—
1204C22⋊D73—44no—
1205C22⋊D73—44no—
1206C22⋊D73—44no—
1207C22⋊D73—42no—
1208C22⋊D73—42no—
1209C2×Dic73—24no—
1210C2×Dic73—22no—
1211C2×Dic73—24no—
1212C2×Dic73—24no—
1213C2×Dic73—22no—
1214C2×Dic73—41no—
1215C2×Dic73—44no—
1216C2×Dic73—42no—
1217C2×Dic73C2511yescharacteristic
1218C2×Dic73C2511yescharacteristic
1219C2×Dic73C2512yes—
1220C2×Dic73C2512yes—
1221C2×Dic73C2514yes—
1222C2×Dic73C2511yescharacteristic
1223C2×Dic73C2511yescharacteristic
1224C2×Dic73C2512yes—
1225C2×Dic73C2512yes—
1226C2×Dic73C2512yes—
1227C2×Dic73C2511yescharacteristic
1228C2×Dic73C2511yescharacteristic
1229D292—28no—
1230D292—24no—
1231D292—24no—
1232D292—22no—
1233D292—22no—
1234D292—24no—
1235D292—22no—
1236D292—42no—
1237D292—44no—
1238D292—42no—
1239D292—42no—
1240D292—42no—
1241D292—44no—
1242D292—44no—
1243D292—44no—
1244D292—44no—
1245D292—44no—
1246D292—42no—
1247D292—44no—
1248D292—42no—
1249C4×D73—22no—
1250C4×D73—24no—
1251C4×D73—24no—
1252C4×D73—24no—
1253C4×D73—22no—
1254C4×D73—24no—
1255C4×D73—22no—
1256C4×D73—22no—
1257C4×D73—24no—
1258C4×D73—24no—
1259C4×D73—22no—
1260C4×D73—24no—
1261C4×D73—28no—
1262C4×D73—24no—
1263C4×D73—22no—
1264C4×D73—22no—
1265C4×D73—28no—
1266C4×D73—41no—
1267C4×D73—41no—
1268C4×D73—41no—
1269C4×D73—41no—
1270C4×D73—44no—
1271C4×D73—44no—
1272C4×D73—44no—
1273C4×D73—44no—
1274C4×D73—42no—
1275C4×D73—44no—
1276C4×D73—44no—
1277C4×D73—44no—
1278C4×D73H(5,𝔽2)14yes—
1279Dic146—22no—
1280Dic146—24no—
1281Dic146—24no—
1282Dic146—44no—
1283Dic146—42no—
1284Dic146—42no—
1285Dic146—42no—
1286Dic146—42no—
1287C22×C73—22no—
1288C22×C73—21no—
1289C22×C73—22no—
1290C22×C73—22no—
1291C22×C73—21no—
1292C22×C73—22no—
1293C22×C73—22no—
1294C22×C73—21no—
1295C22×C73—22no—
1296C22×C73—22no—
1297C22×C73—22no—
1298C22×C73—22no—
1299C22×C73C2611yescharacteristic
1300C2×D73—21no—
1301C2×D73—21no—
1302C2×D73—22no—
1303C2×D73—22no—
1304C2×D73—21no—
1305C2×D73—22no—
1306C2×D73—24no—
1307C2×D73—21no—
1308C2×D73—21no—
1309C2×D73—24no—
1310C2×D73—22no—
1311C2×D73—22no—
1312C2×D73—22no—
1313C2×D73—24no—
1314C2×D73—22no—
1315C2×D73—22no—
1316C2×D73—22no—
1317C2×D73—44no—
1318C2×D73—84no—
1319C2×D73—84no—
1320C2×D73—88no—
1321C2×D73—88no—
1322C2×D73C2×H(5,𝔽2)12yes—
1323C4×C73—21no—
1324C4×C73—22no—
1325C4×C73—22no—
1326C4×C73—24no—
1327C4×C73—22no—
1328C4×C73—22no—
1329C4×C73—22no—
1330C4×C73—21no—
1331C4×C73—24no—
1332C4×C73—21no—
1333C4×C73—21no—
1334C4×C73C2×H(5,𝔽2)12yes—
1335C4×C73#58512yes—
1336Dic73—22no—
1337Dic73—21no—
1338Dic73—22no—
1339Dic73—22no—
1340Dic73—22no—
1341Dic73—24no—
1342Dic73—21no—
1343Dic73—22no—
1344Dic73—21no—
1345Dic73—21no—
1346Dic73C2×H(5,𝔽2)12yes—
1347Dic73#58512yes—
1348#62759—731nomaximal, Sylow
1349C2×C73—41no—
1350C2×C73—42no—
1351C2×C73—42no—
1352C2×C73—42no—
1353C2×C73C22×H(5,𝔽2)11yescharacteristic
1354C2×C73C2×#58511yescharacteristic
1355C2×C73C2×#58511yescharacteristic
1356D73—22no—
1357D73—41no—
1358D73—42no—
1359D73—42no—
1360D73—44no—
1361D73—42no—
1362#3551—732no—
1363#3551—732no—
1364#3550—731no—
1365#3549—731no—
1366#3548—731no—
1367#3548—731no—
1368#3547—732no—
1369#3547—731no—
1370#3547D7311yescharacteristic, complemented
1371#3546—732no—
1372#3546—731no—
1373#3546—731no—
1374#3545—734no—
1375#3544—732no—
1376#3543—732no—
1377#3542—734no—
1378#3542—732no—
1379#3542—732no—
1380#3529—734no—
1381#3483—732no—
1382#3481—732no—
1383#3475—731no—
1384#3475—731no—
1385#3475—732no—
1386D4×#41—731no—
1387D4×#41—732no—
1388D4×#41—731no—
1389#3460—732no—
1390#3460—734no—
1391#3460—732no—
1392#3449—732no—
1393#3449—732no—
1394#3444—731no—
1395#3444—731no—
1396C2×#532—731no—
1397C73#6275911yescharacteristic, complemented, Sylow
1398C22×#41—732no—
1399C22×#41—732no—
1400C22×#41—732no—
1401#563—734no—
1402#563—734no—
1403#563—734no—
1404#562—734no—
1405#562—734no—
1406#562—734no—
1407#562—734no—
1408#562—734no—
1409#562C2×D7314yescomplemented
1410H(3,𝔽4)—734no—
1411#560—734no—
1412#560—734no—
1413#560—734no—
1414#560—734no—
1415#560—734no—
1416#560—734no—
1417#559—732no—
1418Q82—732no—
1419#556—732no—
1420#556—731no—
1421#556—731no—
1422#555—731no—
1423#555—734no—
1424#555—734no—
1425#555—732no—
1426#555—732no—
1427#555—732no—
1428#555—734no—
1429#555C2×D7311yescharacteristic, complemented
1430#555C2×D7312yescomplemented
1431#554—731no—
1432#554—732no—
1433#554—732no—
1434#554—732no—
1435#554C2×D7311yescharacteristic, complemented
1436#553—732no—
1437#553—734no—
1438#553—732no—
1439#553—732no—
1440#553—732no—
1441#553—732no—
1442#553C2×D7312yescomplemented
1443#552—734no—
1444#552—732no—
1445#552—732no—
1446#552—732no—
1447#552—732no—
1448#552—732no—
1449#552C2×D7312yescomplemented
1450#551—734no—
1451#551—734no—
1452#551—734no—
1453#551—734no—
1454#551—734no—
1455#551—734no—
1456#550—732no—
1457#550—732no—
1458#550—734no—
1459#550—732no—
1460#550—731no—
1461#550—731no—
1462#550—732no—
1463#550—732no—
1464D4×Q8—732no—
1465D4×Q8—731no—
1466D4×Q8C2×D7311yescharacteristic, complemented
1467#548—732no—
1468#548—732no—
1469#548—732no—
1470#548C2×D7312yescomplemented
1471#547—732no—
1472#547—731no—
1473#547—734no—
1474#547—732no—
1475#547—731no—
1476#547—731no—
1477#547—732no—
1478#547—732no—
1479#547C2×D7311yescharacteristic, complemented
1480#546—732no—
1481#546—734no—
1482#546—732no—
1483#546—734no—
1484#546—734no—
1485#546—734no—
1486#546—732no—
1487#546—734no—
1488#546—732no—
1489#546—732no—
1490#546—732no—
1491#546—734no—
1492#546—732no—
1493#546—732no—
1494D42—734no—
1495D42—732no—
1496D42—732no—
1497D42—732no—
1498D42—732no—
1499D42—731no—
1500D42—731no—
1501#544—734no—
1502#544—732no—
1503#544C2×D7312yescomplemented
1504#542—732no—
1505#542—732no—
1506#542—734no—
1507#542—734no—
1508#542—734no—
1509#542—734no—
1510#542—734no—
1511#542—732no—
1512#542—732no—
1513#542C2×D7314yescomplemented
1514#540—732no—
1515#540—734no—
1516#540—732no—
1517#540—734no—
1518#540—734no—
1519#540—734no—
1520#540—732no—
1521#540—734no—
1522#540—734no—
1523#540C2×D7312yescomplemented
1524#538—734no—
1525#538—734no—
1526#538—734no—
1527#538—734no—
1528#538—734no—
1529#538—734no—
1530#538—734no—
1531#538—734no—
1532#537—732no—
1533#537—732no—
1534#537—732no—
1535#537—732no—
1536#537—732no—
1537#537—732no—
1538#537—734no—
1539#537—732no—
1540#537—732no—
1541#537—732no—
1542#537C2×D7312yescomplemented
1543#536—732no—
1544#536—734no—
1545#536—734no—
1546#536—732no—
1547#536—732no—
1548#536C2×D7312yescomplemented
1549#535—732no—
1550#535—732no—
1551#535—734no—
1552#535—734no—
1553#535—734no—
1554#535—732no—
1555#535—732no—
1556#535—732no—
1557#535—734no—
1558#535—732no—
1559#535—732no—
1560#535—732no—
1561#534—734no—
1562#534—734no—
1563#534—734no—
1564#534—734no—
1565#533—731no—
1566#533—731no—
1567#533—731no—
1568#533—731no—
1569#533—731no—
1570#533C2×D7311yescharacteristic, complemented
1571#532—732no—
1572#532—731no—
1573#532—731no—
1574#532—731no—
1575#532—734no—
1576#532—732no—
1577#532—731no—
1578#532—731no—
1579#532—732no—
1580#532—734no—
1581#532—734no—
1582#532—731no—
1583#532—731no—
1584#532—732no—
1585#532—731no—
1586#532—734no—
1587#532—734no—
1588#532—732no—
1589#532—731no—
1590#532—731no—
1591#532—732no—
1592#532—731no—
1593#532—731no—
1594#532—731no—
1595#532C2×D7311yescharacteristic, complemented
1596C2×C4⋊Q8—731no—
1597C2×#127—731no—
1598#529—732no—
1599#529—732no—
1600#529—734no—
1601#529—732no—
1602#529—732no—
1603#529—731no—
1604#529—732no—
1605#529—734no—
1606#529—731no—
1607#529—734no—
1608#529—732no—
1609#529—734no—
1610#529—732no—
1611#529—732no—
1612#529—734no—
1613#529—732no—
1614#529—732no—
1615#529—732no—
1616#529—732no—
1617#529—731no—
1618#529C2×D7311yescharacteristic, complemented
1619C2×#124—732no—
1620#525—732no—
1621#525—734no—
1622#525—734no—
1623#525—734no—
1624#525—732no—
1625#525—731no—
1626#525—732no—
1627#525—734no—
1628#525—732no—
1629#525—732no—
1630#525—732no—
1631#525—734no—
1632#525—734no—
1633#525—731no—
1634#525—732no—
1635#525—734no—
1636#525—734no—
1637#525—732no—
1638#525—732no—
1639C2×#121—731no—
1640C2×#121—731no—
1641C2×#121—732no—
1642C4×#41—732no—
1643C4×#41—732no—
1644C4×#41—731no—
1645C4×#41—731no—
1646C4×#41—732no—
1647C4×#41—732no—
1648C4×#41—732no—
1649C4×#41—732no—
1650C4×#41—734no—
1651C4×#41—732no—
1652C2×C4×D4—731no—
1653C2×C4×D4—731no—
1654C2×C4×D4—732no—
1655C2×C4×D4—732no—
1656C2×C4×D4—734no—
1657C2×C4×D4—732no—
1658C2×#117—732no—
1659C2×#117—732no—
1660C22×C42—731no—
1661C2×#41—2928no—
1662C2×#41—2928no—
1663C2×#41—2928no—
1664C2×#41—732no—
1665C2×#41—732no—
1666C2×#41—734no—
1667C2×#41—734no—
1668C2×#41—732no—
1669C2×#41—732no—
1670C2×#41—732no—
1671C2×#41—731no—
1672C2×#41—732no—
1673C2×#41—732no—
1674C2×#41—732no—
1675C2×#41—734no—
1676C2×#41—732no—
1677C2×#41—732no—
1678C2×#41—731no—
1679C2×#41—732no—
1680C2×#41—732no—
1681C2×#41—732no—
1682C2×#41—734no—
1683C2×#41—732no—
1684C2×#41—732no—
1685C2×#41—732no—
1686C2×#41—734no—
1687C2×#41—732no—
1688C2×#41C22×D7312yes—
1689C2×#41C22×D7312yes—
1690C22×Q8—732no—
1691C22×Q8—732no—
1692C22×Q8C22×D7312yes—
1693C22×D4—731no—
1694C22×D4—731no—
1695C22×D4—732no—
1696C22×D4—732no—
1697C22×D4—734no—
1698C22×D4—732no—
1699C22×D4—732no—
1700C22×D4—732no—
1701C22×D4—734no—
1702C22×D4—732no—
1703C22×D4—732no—
1704C22×D4—734no—
1705C22×D4—732no—
1706C23×C4—734no—
1707C23×C4—734no—
1708C23×C4—731no—
1709C23×C4—731no—
1710C23×C4—732no—
1711C23×C4—732no—
1712C23×C4—731no—
1713C4⋊Q8—732no—
1714C4⋊Q8—731no—
1715C4⋊Q8—734no—
1716C4⋊Q8—734no—
1717C4⋊Q8—731no—
1718C4⋊Q8—731no—
1719C4⋊Q8—732no—
1720C4⋊Q8—731no—
1721C4⋊Q8—731no—
1722C4⋊Q8—734no—
1723C4⋊Q8—734no—
1724C4⋊Q8—732no—
1725C4⋊Q8—731no—
1726C4⋊Q8—731no—
1727C4⋊Q8C22×D7311yescharacteristic
1728C4⋊Q8C22×D7311yescharacteristic
1729C4⋊Q8C22×D7311yescharacteristic
1730C4⋊Q8C22×D7314yes—
1731C4⋊Q8C22×D7312yes—
1732#127—732no—
1733#127—731no—
1734#127—731no—
1735#127—732no—
1736#127—731no—
1737#127—734no—
1738#127—734no—
1739#127—734no—
1740#127—732no—
1741#127—734no—
1742#127—731no—
1743#127—731no—
1744#127—734no—
1745#127—732no—
1746#127C22×D7311yescharacteristic
1747#126—734no—
1748#126—732no—
1749#126—734no—
1750#126—734no—
1751#126—734no—
1752#126—734no—
1753#126—734no—
1754#126—734no—
1755#126—734no—
1756#126—732no—
1757#126—734no—
1758#126—734no—
1759#126—734no—
1760#126—734no—
1761#126—732no—
1762#126—734no—
1763#126C22×D7312yes—
1764#126C22×D7314yes—
1765#125—732no—
1766#125—732no—
1767#125—732no—
1768#125—732no—
1769#125—734no—
1770#125—734no—
1771#125—734no—
1772#125—732no—
1773#125—731no—
1774#125—734no—
1775#125C22×D7312yes—
1776#125C22×D7311yescharacteristic
1777#125C22×D7314yes—
1778#125C22×D7312yes—
1779#124—732no—
1780#124—732no—
1781#124—732no—
1782#124—734no—
1783#124—734no—
1784#124—734no—
1785#124—734no—
1786#124—732no—
1787#124—732no—
1788#124—732no—
1789#124—732no—
1790#124—732no—
1791#124—732no—
1792#124—732no—
1793#124—732no—
1794#124—734no—
1795#124—734no—
1796#124—734no—
1797#124—734no—
1798#124—734no—
1799#124—734no—
1800#124—734no—
1801#124—732no—
1802#124—732no—
1803#124—731no—
1804#124—732no—
1805#124—734no—
1806#124—734no—
1807#124—734no—
1808#124C22×D7312yes—
1809#124C22×D7311yescharacteristic
1810#124C22×D7314yes—
1811#124C22×D7314yes—
1812#124C22×D7314yes—
1813#123—734no—
1814#123—732no—
1815#123—734no—
1816#123—734no—
1817#123—734no—
1818#123—734no—
1819#123—734no—
1820#123—732no—
1821#123—734no—
1822#123—732no—
1823#123—734no—
1824#123—734no—
1825#123—734no—
1826#123—734no—
1827#123—734no—
1828#123—734no—
1829#123—734no—
1830#123—734no—
1831#123—734no—
1832#123—734no—
1833#123—734no—
1834#123—734no—
1835#123—734no—
1836#123—732no—
1837#123—732no—
1838#123—734no—
1839#123—734no—
1840#123—734no—
1841#123—734no—
1842#123—734no—
1843#123—734no—
1844#123—734no—
1845#123—734no—
1846#123—734no—
1847#123—734no—
1848#123—734no—
1849#123C22×D7312yes—
1850#123C22×D7314yes—
1851#123C22×D7314yes—
1852#123C22×D7314yes—
1853#123C22×D7314yes—
1854C22⋊Q8—732no—
1855C22⋊Q8—731no—
1856C22⋊Q8—732no—
1857C22⋊Q8—734no—
1858C22⋊Q8—732no—
1859C22⋊Q8—732no—
1860C22⋊Q8—732no—
1861C22⋊Q8—734no—
1862C22⋊Q8—734no—
1863C22⋊Q8—734no—
1864C22⋊Q8—731no—
1865C22⋊Q8—732no—
1866C22⋊Q8—734no—
1867C22⋊Q8—734no—
1868C22⋊Q8—732no—
1869C22⋊Q8—731no—
1870C22⋊Q8—732no—
1871C22⋊Q8—732no—
1872C22⋊Q8—732no—
1873C22⋊Q8—732no—
1874C22⋊Q8—732no—
1875C22⋊Q8—734no—
1876C22⋊Q8—734no—
1877C22⋊Q8—732no—
1878C22⋊Q8—734no—
1879C22⋊Q8—734no—
1880C22⋊Q8—734no—
1881C22⋊Q8—734no—
1882C22⋊Q8—734no—
1883C22⋊Q8—734no—
1884C22⋊Q8—734no—
1885C22⋊Q8—732no—
1886C22⋊Q8—734no—
1887C22⋊Q8—732no—
1888C22⋊Q8—734no—
1889C22⋊Q8C22×D7312yes—
1890C22⋊Q8C22×D7312yes—
1891C22⋊Q8C22×D7311yescharacteristic
1892C22⋊Q8C22×D7314yes—
1893C22⋊Q8C22×D7312yes—
1894C22⋊Q8C22×D7312yes—
1895C22⋊Q8C22×D7312yes—
1896C22⋊Q8C22×D7314yes—
1897C22⋊Q8C22×D7314yes—
1898C22⋊Q8C22×D7314yes—
1899#121—731no—
1900#121—731no—
1901#121—732no—
1902#121—732no—
1903#121—732no—
1904#121—732no—
1905#121—732no—
1906#121—731no—
1907#121—732no—
1908#121—732no—
1909#121—734no—
1910#121—734no—
1911#121—734no—
1912#121—734no—
1913#121—734no—
1914#121—734no—
1915#121—734no—
1916#121—734no—
1917#121—734no—
1918#121—731no—
1919#121—731no—
1920#121—732no—
1921#121—732no—
1922#121—731no—
1923#121—732no—
1924#121—734no—
1925#121—732no—
1926#121—732no—
1927#121—732no—
1928#121—734no—
1929#121—734no—
1930#121—734no—
1931#121—734no—
1932#121—734no—
1933#121—732no—
1934#121—731no—
1935#121—731no—
1936#121—732no—
1937#121—731no—
1938#121—732no—
1939#121—732no—
1940#121—732no—
1941#121—732no—
1942#121—734no—
1943#121—732no—
1944#121—732no—
1945#121—732no—
1946#121—734no—
1947#121—734no—
1948#121—732no—
1949#121—734no—
1950#121—734no—
1951#121—734no—
1952#121—734no—
1953#121—734no—
1954#121—732no—
1955#121—732no—
1956#121—734no—
1957#121—732no—
1958#121—732no—
1959#121—732no—
1960#121—732no—
1961#121—732no—
1962#121—732no—
1963#121—732no—
1964#121—734no—
1965#121—734no—
1966#121—734no—
1967#121—734no—
1968#121—734no—
1969#121—734no—
1970#121—734no—
1971#121—734no—
1972#121—734no—
1973#121—734no—
1974#121—734no—
1975#121—734no—
1976#121—734no—
1977#121—734no—
1978#121—734no—
1979#121C22×D7311yescharacteristic
1980#121C22×D7311yescharacteristic
1981#121C22×D7312yes—
1982#121C22×D7311yescharacteristic
1983#121C22×D7312yes—
1984#121C22×D7314yes—
1985#121C22×D7314yes—
1986#121C22×D7312yes—
1987#121C22×D7314yes—
1988#121C22×D7314yes—
1989#121C22×D7312yes—
1990#120—732no—
1991#120—734no—
1992#120—734no—
1993#120—734no—
1994#120—734no—
1995#120—734no—
1996#120—734no—
1997#120—734no—
1998#120—734no—
1999#120—732no—
2000#120—734no—
2001#120—734no—
2002#120—734no—
2003#120—734no—
2004#120—734no—
2005#120—734no—
2006#120—734no—
2007#120—734no—
2008#120—734no—
2009#120—734no—
2010#120—734no—
2011#120—734no—
2012#120—734no—
2013C4×Q8—732no—
2014C4×Q8—731no—
2015C4×Q8—732no—
2016C4×Q8—732no—
2017C4×Q8—732no—
2018C4×Q8—732no—
2019C4×Q8—732no—
2020C4×Q8—731no—
2021C4×Q8—732no—
2022C4×Q8—734no—
2023C4×Q8—732no—
2024C4×Q8—731no—
2025C4×Q8—732no—
2026C4×Q8—732no—
2027C4×Q8C22×D7312yes—
2028C4×Q8C22×D7312yes—
2029C4×Q8C22×D7311yescharacteristic
2030C4×D4—731no—
2031C4×D4—731no—
2032C4×D4—734no—
2033C4×D4—732no—
2034C4×D4—732no—
2035C4×D4—731no—
2036C4×D4—732no—
2037C4×D4—732no—
2038C4×D4—732no—
2039C4×D4—732no—
2040C4×D4—734no—
2041C4×D4—734no—
2042C4×D4—734no—
2043C4×D4—732no—
2044C4×D4—732no—
2045C4×D4—732no—
2046C4×D4—734no—
2047C4×D4—731no—
2048C4×D4—732no—
2049C4×D4—731no—
2050C4×D4—734no—
2051C4×D4—734no—
2052C4×D4—732no—
2053C4×D4—732no—
2054C4×D4—732no—
2055C4×D4—734no—
2056C4×D4—732no—
2057C4×D4—734no—
2058C4×D4—732no—
2059C4×D4—734no—
2060C4×D4—732no—
2061C4×D4—734no—
2062C4×D4—732no—
2063C4×D4—732no—
2064C4×D4—732no—
2065C4×D4—731no—
2066C4×D4—734no—
2067C4×D4—732no—
2068C4×D4—732no—
2069C4×D4—732no—
2070C4×D4—732no—
2071C4×D4—734no—
2072C4×D4—732no—
2073C4×D4—732no—
2074C4×D4—732no—
2075C4×D4—732no—
2076C4×D4—734no—
2077C4×D4—734no—
2078C4×D4—734no—
2079C4×D4—734no—
2080C4×D4—732no—
2081C4×D4—732no—
2082C4×D4—732no—
2083C4×D4—734no—
2084C4×D4—732no—
2085C4×D4—734no—
2086C4×D4—734no—
2087C4×D4—734no—
2088C4×D4—731no—
2089C4×D4—732no—
2090C4×D4—731no—
2091C4×D4—732no—
2092C4×D4—734no—
2093C4×D4—734no—
2094C4×D4—732no—
2095C4×D4—734no—
2096C4×D4—732no—
2097C4×D4—731no—
2098C4×D4—732no—
2099C4×D4C22×D7311yescharacteristic
2100C4×D4C22×D7312yes—
2101C4×D4C22×D7311yescharacteristic
2102C4×D4C22×D7314yes—
2103C4×D4C22×D7312yes—
2104C4×D4C22×D7312yes—
2105C4×D4C22×D7311yescharacteristic
2106C4×D4C22×D7312yes—
2107#117—732no—
2108#117—731no—
2109#117—732no—
2110#117—731no—
2111#117—734no—
2112#117—734no—
2113#117—732no—
2114#117—732no—
2115#117—734no—
2116#117—732no—
2117#117—732no—
2118#117—734no—
2119#117—732no—
2120#117—732no—
2121#117—734no—
2122#117—732no—
2123#117—732no—
2124#117—732no—
2125#117—734no—
2126#117—734no—
2127#117—732no—
2128#117—732no—
2129#117—734no—
2130#117—734no—
2131#117—734no—
2132#117—734no—
2133#117C22×D7312yes—
2134#117C22×D7312yes—
2135#117C22×D7312yes—
2136#117C22×D7312yes—
2137#117C22×D7314yes—
2138C2×C4⋊C4—732no—
2139C2×C4⋊C4—732no—
2140C2×C4⋊C4—732no—
2141C2×C4⋊C4—732no—
2142C2×C4⋊C4—731no—
2143C2×C4⋊C4—731no—
2144C2×C4⋊C4—734no—
2145C2×C4⋊C4—732no—
2146C2×C4⋊C4C22×D7312yes—
2147C2×C4⋊C4C22×D7312yes—
2148C2×C22⋊C4—734no—
2149C2×C22⋊C4—734no—
2150C2×C22⋊C4—734no—
2151C2×C22⋊C4—732no—
2152C2×C22⋊C4—732no—
2153C2×C22⋊C4—732no—
2154C2×C22⋊C4—732no—
2155C2×C22⋊C4—734no—
2156C2×C22⋊C4—734no—
2157C2×C22⋊C4—734no—
2158C2×C42—734no—
2159C2×C42—732no—
2160C2×C42—731no—
2161C2×C42—731no—
2162C2×C42—731no—
2163C2×C42—734no—
2164C2×C42—731no—
2165C2×C42—731no—
2166C2×C42—732no—
2167C2×C42—734no—
2168C2×C42—731no—
2169C2×C42—731no—
2170C2×C42—731no—
2171C2×C42—731no—
2172C2×C42—731no—
2173C2×C42—731no—
2174C2×C42C22×D7311yescharacteristic
2175C24—734no—
2176C24—734no—
2177C24—732no—
2178C24—732no—
2179C24—731no—
2180#41—44no—
2181#41—44no—
2182#41—2924no—
2183#41—2924no—
2184#41—2924no—
2185#41—2924no—
2186#41—2924no—
2187#41—2924no—
2188#41—2924no—
2189#41—2928no—
2190#41—2928no—
2191#41—2924no—
2192#41—2924no—
2193#41—2924no—
2194#41—2924no—
2195#41—2928no—
2196#41—2924no—
2197#41—2928no—
2198#41—2924no—
2199#41—2924no—
2200#41—2924no—
2201#41—2928no—
2202#41—2924no—
2203#41—1464no—
2204#41—1464no—
2205#41—1468no—
2206C2×Q8—44no—
2207C2×Q8—2924no—
2208C2×Q8—2924no—
2209C2×Q8—732no—
2210C2×Q8—732no—
2211C2×Q8—734no—
2212C2×Q8—732no—
2213C2×Q8—732no—
2214C2×Q8—732no—
2215C2×Q8—732no—
2216C2×Q8—731no—
2217C2×Q8C23×D7312yes—
2218C2×Q8C23×D7311yescharacteristic
2219C2×Q8C23×D7312yes—
2220C2×Q8C23×D7312yes—
2221C2×Q8C23×D7314yes—
2222C2×D4—2924no—
2223C2×D4—2924no—
2224C2×D4—2928no—
2225C2×D4—2928no—
2226C2×D4—2922no—
2227C2×D4—2922no—
2228C2×D4—2924no—
2229C2×D4—2924no—
2230C2×D4—2924no—
2231C2×D4—2924no—
2232C2×D4—2924no—
2233C2×D4—2924no—
2234C2×D4—2928no—
2235C2×D4—732no—
2236C2×D4—734no—
2237C2×D4—734no—
2238C2×D4—734no—
2239C2×D4—734no—
2240C2×D4—732no—
2241C2×D4—734no—
2242C2×D4—732no—
2243C2×D4—732no—
2244C2×D4—732no—
2245C2×D4—732no—
2246C2×D4—732no—
2247C2×D4—734no—
2248C2×D4—732no—
2249C2×D4—734no—
2250C2×D4—732no—
2251C2×D4—732no—
2252C2×D4—732no—
2253C2×D4—732no—
2254C2×D4—732no—
2255C2×D4—732no—
2256C2×D4—732no—
2257C2×D4—732no—
2258C2×D4—734no—
2259C2×D4—734no—
2260C2×D4—734no—
2261C2×D4—734no—
2262C2×D4—732no—
2263C2×D4—732no—
2264C2×D4—732no—
2265C2×D4—732no—
2266C2×D4—734no—
2267C2×D4—734no—
2268C2×D4—734no—
2269C2×D4—732no—
2270C2×D4—731no—
2271C2×D4—732no—
2272C2×D4—731no—
2273C2×D4—734no—
2274C2×D4—732no—
2275C2×D4—731no—
2276C2×D4—732no—
2277C2×D4C23×D7311yescharacteristic
2278C2×D4C23×D7311yescharacteristic
2279C2×D4C23×D7311yescharacteristic
2280C2×D4C23×D7314yes—
2281C2×D4C23×D7312yes—
2282C2×D4C23×D7312yes—
2283C2×D4C23×D7312yes—
2284C2×D4C23×D7312yes—
2285C2×D4C23×D7314yes—
2286C2×D4C23×D7312yes—
2287C22×C4—2922no—
2288C22×C4—2922no—
2289C22×C4—2928no—
2290C22×C4—2928no—
2291C22×C4—731no—
2292C22×C4—732no—
2293C22×C4—734no—
2294C22×C4—731no—
2295C22×C4—731no—
2296C22×C4—731no—
2297C22×C4—731no—
2298C22×C4—732no—
2299C22×C4—734no—
2300C22×C4—734no—
2301C22×C4—734no—
2302C22×C4—734no—
2303C22×C4—734no—
2304C22×C4—734no—
2305C22×C4—734no—
2306C22×C4—731no—
2307C22×C4—731no—
2308C22×C4—732no—
2309C22×C4—731no—
2310C22×C4—732no—
2311C22×C4—732no—
2312C22×C4—731no—
2313C22×C4—731no—
2314C22×C4—731no—
2315C22×C4—731no—
2316C22×C4—731no—
2317C22×C4—732no—
2318C22×C4—731no—
2319C22×C4—731no—
2320C22×C4—734no—
2321C22×C4—732no—
2322C22×C4—734no—
2323C22×C4—732no—
2324C22×C4—732no—
2325C22×C4—732no—
2326C22×C4—732no—
2327C22×C4—732no—
2328C22×C4—732no—
2329C22×C4—1468no—
2330C22×C4—1468no—
2331C22×C4—1464no—
2332C22×C4C23×D7311yescharacteristic
2333C22×C4C23×D7311yescharacteristic
2334C22×C4C23×D7312yes—
2335C22×C4C23×D7312yes—
2336C22×C4C23×D7312yes—
2337C22×C4C23×D7311yescharacteristic
2338C22×C4C23×D7314yes—
2339C22×C4C23×D7314yes—
2340C22×C4C23×D7314yes—
2341C4⋊C4—732no—
2342C4⋊C4—732no—
2343C4⋊C4—732no—
2344C4⋊C4—734no—
2345C4⋊C4—734no—
2346C4⋊C4—732no—
2347C4⋊C4—732no—
2348C4⋊C4—734no—
2349C4⋊C4—732no—
2350C4⋊C4—734no—
2351C4⋊C4—732no—
2352C4⋊C4—732no—
2353C4⋊C4—732no—
2354C4⋊C4—734no—
2355C4⋊C4—734no—
2356C4⋊C4—732no—
2357C4⋊C4—734no—
2358C4⋊C4—732no—
2359C4⋊C4—734no—
2360C4⋊C4—732no—
2361C4⋊C4—732no—
2362C4⋊C4—732no—
2363C4⋊C4—731no—
2364C4⋊C4—731no—
2365C4⋊C4—732no—
2366C4⋊C4—731no—
2367C4⋊C4—731no—
2368C4⋊C4—734no—
2369C4⋊C4—732no—
2370C4⋊C4—734no—
2371C4⋊C4—734no—
2372C4⋊C4—732no—
2373C4⋊C4—732no—
2374C4⋊C4—734no—
2375C4⋊C4—732no—
2376C4⋊C4C23×D7311yescharacteristic
2377C4⋊C4C23×D7311yescharacteristic
2378C4⋊C4C23×D7312yes—
2379C4⋊C4C23×D7312yes—
2380C4⋊C4C23×D7311yescharacteristic
2381C4⋊C4C23×D7312yes—
2382C4⋊C4C23×D7314yes—
2383C4⋊C4C23×D7311yescharacteristic
2384C4⋊C4C23×D7314yes—
2385C4⋊C4C23×D7314yes—
2386C4⋊C4C23×D7312yes—
2387C4⋊C4C23×D7312yes—
2388C4⋊C4C23×D7312yes—
2389C4⋊C4C23×D7314yes—
2390C4⋊C4C23×D7314yes—
2391C4⋊C4C23×D7312yes—
2392C4⋊C4C23×D7312yes—
2393C4⋊C4C23×D7312yes—
2394C4⋊C4C23×D7314yes—
2395C22⋊C4—732no—
2396C22⋊C4—732no—
2397C22⋊C4—734no—
2398C22⋊C4—734no—
2399C22⋊C4—732no—
2400C22⋊C4—734no—
2401C22⋊C4—732no—
2402C22⋊C4—732no—
2403C22⋊C4—732no—
2404C22⋊C4—732no—
2405C22⋊C4—732no—
2406C22⋊C4—732no—
2407C22⋊C4—732no—
2408C22⋊C4—734no—
2409C22⋊C4—732no—
2410C22⋊C4—734no—
2411C22⋊C4—732no—
2412C22⋊C4—732no—
2413C22⋊C4—732no—
2414C22⋊C4—734no—
2415C22⋊C4—734no—
2416C22⋊C4—734no—
2417C22⋊C4—734no—
2418C22⋊C4—732no—
2419C22⋊C4—732no—
2420C22⋊C4—734no—
2421C22⋊C4—734no—
2422C22⋊C4—734no—
2423C22⋊C4—732no—
2424C22⋊C4—732no—
2425C22⋊C4—734no—
2426C22⋊C4—732no—
2427C22⋊C4—732no—
2428C22⋊C4—734no—
2429C22⋊C4—734no—
2430C22⋊C4—734no—
2431C22⋊C4—734no—
2432C22⋊C4—734no—
2433C22⋊C4—732no—
2434C22⋊C4—734no—
2435C22⋊C4—732no—
2436C22⋊C4—734no—
2437C22⋊C4—732no—
2438C22⋊C4—734no—
2439C22⋊C4—734no—
2440C22⋊C4—732no—
2441C22⋊C4—732no—
2442C22⋊C4—734no—
2443C22⋊C4C23×D7312yes—
2444C22⋊C4C23×D7312yes—
2445C22⋊C4C23×D7314yes—
2446C22⋊C4C23×D7312yes—
2447C22⋊C4C23×D7312yes—
2448C22⋊C4C23×D7314yes—
2449C22⋊C4C23×D7312yes—
2450C22⋊C4C23×D7312yes—
2451C22⋊C4C23×D7312yes—
2452C22⋊C4C23×D7314yes—
2453C22⋊C4C23×D7312yes—
2454C22⋊C4C23×D7314yes—
2455C22⋊C4C23×D7312yes—
2456C22⋊C4C23×D7314yes—
2457C22⋊C4C23×D7314yes—
2458C42—731no—
2459C42—731no—
2460C42—731no—
2461C42—731no—
2462C42—732no—
2463C42—734no—
2464C42—732no—
2465C42—731no—
2466C42—731no—
2467C42—731no—
2468C42—731no—
2469C42—731no—
2470C42—731no—
2471C42—731no—
2472C42—731no—
2473C42—734no—
2474C42—732no—
2475C42—732no—
2476C42—734no—
2477C42—732no—
2478C42—734no—
2479C42—734no—
2480C42C23×D7311yescharacteristic
2481C42C23×D7311yescharacteristic
2482C42C23×D7311yescharacteristic
2483C42C23×D7311yescharacteristic
2484C42C23×D7314yes—
2485C42C23×D7314yes—
2486C42C23×D7312yes—
2487C23—2921no—
2488C23—2921no—
2489C23—2924no—
2490C23—2924no—
2491C23—2922no—
2492C23—2924no—
2493C23—2924no—
2494C23—2922no—
2495C23—2924no—
2496C23—2922no—
2497C23—2924no—
2498C23—2922no—
2499C23—731no—
2500C23—732no—
2501C23—732no—
2502C23—734no—
2503C23—732no—
2504C23—731no—
2505C23—1462no—
2506C23—1464no—
2507C23—1464no—
2508C23C24×D7312yes—
2509C23C24×D7312yes—
2510C23C24×D7312yes—
2511C23C24×D7311yescharacteristic
2512Q8—22no—
2513Q8—24no—
2514Q8—44no—
2515Q8—42no—
2516Q8—42no—
2517Q8—2922no—
2518Q8—2922no—
2519Q8—2922no—
2520Q8—2924no—
2521Q8—2922no—
2522Q8—1464no—
2523Q8—1462no—
2524Q8—1464no—
2525D4—22no—
2526D4—22no—
2527D4—22no—
2528D4—42no—
2529D4—42no—
2530D4—42no—
2531D4—44no—
2532D4—42no—
2533D4—44no—
2534D4—42no—
2535D4—2922no—
2536D4—2922no—
2537D4—2922no—
2538D4—2924no—
2539D4—2924no—
2540D4—2924no—
2541D4—2922no—
2542D4—2924no—
2543D4—2924no—
2544D4—2924no—
2545D4—2924no—
2546D4—2922no—
2547D4—2922no—
2548D4—2922no—
2549D4—2922no—
2550D4—2924no—
2551D4—2922no—
2552D4—2922no—
2553D4—2922no—
2554D4—2922no—
2555D4—2924no—
2556D4—2922no—
2557D4—2922no—
2558D4—2924no—
2559D4—2924no—
2560D4—2922no—
2561D4—2924no—
2562D4—2924no—
2563D4—2924no—
2564D4—2922no—
2565D4—2922no—
2566D4—1468no—
2567D4—1464no—
2568D4—1464no—
2569D4—1464no—
2570D4—1464no—
2571D4—1464no—
2572D4—1462no—
2573D4—1464no—
2574D4—1462no—
2575D4—1464no—
2576D4—1462no—
2577C2×C4—24no—
2578C2×C4—24no—
2579C2×C4—22no—
2580C2×C4—22no—
2581C2×C4—24no—
2582C2×C4—44no—
2583C2×C4—44no—
2584C2×C4—41no—
2585C2×C4—44no—
2586C2×C4—2924no—
2587C2×C4—2924no—
2588C2×C4—2924no—
2589C2×C4—2924no—
2590C2×C4—2921no—
2591C2×C4—2921no—
2592C2×C4—2921no—
2593C2×C4—2921no—
2594C2×C4—2922no—
2595C2×C4—2924no—
2596C2×C4—2924no—
2597C2×C4—2924no—
2598C2×C4—2921no—
2599C2×C4—2922no—
2600C2×C4—2924no—
2601C2×C4—731no—
2602C2×C4—731no—
2603C2×C4—734no—
2604C2×C4—731no—
2605C2×C4—731no—
2606C2×C4—732no—
2607C2×C4—734no—
2608C2×C4—732no—
2609C2×C4—731no—
2610C2×C4—731no—
2611C2×C4—732no—
2612C2×C4—732no—
2613C2×C4—732no—
2614C2×C4—1464no—
2615C2×C4—1468no—
2616C2×C4—1464no—
2617C2×C4—1462no—
2618C2×C4—1462no—
2619C2×C4—1462no—
2620C2×C4—1464no—
2621C2×C4—1468no—
2622C2×C4—1462no—
2623C2×C4—1464no—
2624C2×C4—1464no—
2625C2×C4—1464no—
2626C2×C4—1464no—
2627C2×C4—1462no—
2628C2×C4—1462no—
2629C2×C4—1464no—
2630C2×C4—1464no—
2631C2×C4—1464no—
2632C2×C4—1462no—
2633C2×C4—1462no—
2634C2×C4—1462no—
2635C2×C4—1464no—
2636C2×C4C24×D7312yes—
2637C2×C4C24×D7311yescharacteristic
2638C2×C4C24×D7311yescharacteristic
2639C2×C4C24×D7314yes—
2640C2×C4C24×D7311yescharacteristic
2641C2×C4C24×D7311yescharacteristic
2642C2×C4C24×D7312yes—
2643C2×C4C24×D7312yes—
2644C2×C4C24×D7314yes—
2645C2×C4C24×D7312yes—
2646C2×C4C24×D7312yes—
2647C2×C4C24×D7311yescharacteristic
2648C2×C4C24×D7311yescharacteristic
2649C22—22no—
2650C22—21no—
2651C22—22no—
2652C22—22no—
2653C22—22no—
2654C22—21no—
2655C22—22no—
2656C22—22no—
2657C22—21no—
2658C22—22no—
2659C22—22no—
2660C22—22no—
2661C22—2924no—
2662C22—5848no—
2663C22—5848no—
2664C22—5844no—
2665C22—5844no—
2666C22—732no—
2667C22—1462no—
2668C22—1462no—
2669C22—1464no—
2670C22—1461no—
2671C22—1462no—
2672C22—1462no—
2673C22—1461no—
2674C22—1462no—
2675C22—1464no—
2676C22—1462no—
2677C22—1462no—
2678C22—1461no—
2679C22—1464no—
2680C22—1462no—
2681C22—1462no—
2682C22—1461no—
2683C22—1461no—
2684C22C25×D7311yescharacteristic
2685C4—22no—
2686C4—21no—
2687C4—22no—
2688C4—24no—
2689C4—22no—
2690C4—22no—
2691C4—21no—
2692C4—24no—
2693C4—21no—
2694C4—21no—
2695C4—22no—
2696C4—732no—
2697C4—732no—
2698C4—1462no—
2699C4—1462no—
2700C4—1461no—
2701C4—1462no—
2702C4—1461no—
2703C4—1462no—
2704C4—1464no—
2705C4—1461no—
2706C4—1462no—
2707C4—1461no—
2708C4H(5,𝔽2)×D7312yes—
2709C4#1798942412yes—
2710C2—41no—
2711C2—42no—
2712C2—42no—
2713C2—42no—
2714C2—2921no—
2715C2—2922no—
2716C2—2922no—
2717C2—2924no—
2718C2—2922no—
2719C2—1462no—
2720C2C2×H(5,𝔽2)×D7311yescharacteristic
2721C2#585×D7311yescharacteristic
2722C2C2×#1798942411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3547C2
hypercenter#3547D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3547

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624359C2semidirect
2. #22624347C2semidirect
3. #22624338C2semidirect
4. #22624332C2semidirect
5. #22624330C2semidirect
6. #22624328C2semidirect
7. #22624318C2semidirect
8. #22624314C2semidirect
9. #22624305C2semidirect
10. #22624303C2semidirect
11. #22624293C2semidirect
12. #22624279C2semidirect
13. #22624274C2semidirect
14. #22624260C2semidirect
15. #22624254C2semidirect
16. #22624250C2semidirect
17. #22624244C2semidirect
18. #22624068C2semidirect
19. #22623556C2semidirect
20. #22623538C2semidirect
21. #22623497C2semidirect
22. #22623488C2semidirect
23. #22623484C2semidirect
24. D4×#11924029C2semidirect
25. #22623420C2semidirect
26. #22623418C2semidirect
27. #22623354C2semidirect
28. #22623351C2semidirect
29. #22623346C2semidirect
30. #22623263C2semidirect
31. #22623259C2semidirect
32. #22623228C2semidirect
33. #22623225C2semidirect
34. #532×D73C2semidirect
35. C73×#3547C2semidirect
36. C22×#11924029C22semidirect
37. C2×#41×D73C22semidirect
38. C2×#41×D73C22semidirect
39. #17989341C22semidirect
40. #17989338C22semidirect
41. #17989338C22semidirect
42. #17989334C22semidirect
43. #17989334C22semidirect
44. #17989333C22semidirect
45. #17989333C22semidirect
46. #17989331C22semidirect
47. #17989329C22semidirect
48. #17989327C22semidirect
49. #17989327C22semidirect
50. #17989325C22semidirect
51. #17989325C22semidirect
52. #17989325C22semidirect
53. #17989325C22semidirect
54. #17989320C22semidirect
55. #17989317C22semidirect
56. #17989310C22semidirect
57. #17989308C22semidirect
58. #17989307C22semidirect
59. #17989303C22semidirect
60. #17989300C22semidirect
61. #17989300C22semidirect
62. #17989300C22semidirect
63. #17989300C22semidirect
64. #17989299C22semidirect
65. #17989299C22semidirect
66. #17989298C22semidirect
67. #17989295C22semidirect
68. #17989293C22semidirect
69. #17989292C22semidirect
70. #17989290C22semidirect
71. #17989285C22semidirect
72. #17989284C22semidirect
73. #17989283C22semidirect
74. #17989282C22semidirect
75. #17989281C22semidirect
76. #17989279C22semidirect
77. #17989278C22semidirect
78. #17989276C22semidirect
79. #17989276C22semidirect
80. #17989275C22semidirect
81. #17989269C22semidirect
82. #17989267C22semidirect
83. #17989266C22semidirect
84. #17989264C22semidirect
85. #17989262C22semidirect
86. #17989262C22semidirect
87. #17989261C22semidirect
88. #17989259C22semidirect
89. #17989258C22semidirect
90. #17989258C22semidirect
91. #17989258C22semidirect
92. #17989256C22semidirect
93. #17989255C22semidirect
94. #17989255C22semidirect
95. #17989255C22semidirect
96. #17989252C22semidirect
97. Q8×C22⋊D73C22semidirect
98. #17989249C22semidirect
99. #17989248C22semidirect
100. #17989247C22semidirect
101. #17989242C22semidirect
102. #17989241C22semidirect
103. #17989240C22semidirect
104. #17989240C22semidirect
105. #17989239C22semidirect
106. #17989239C22semidirect
107. #17989238C22semidirect
108. #17989238C22semidirect
109. #17989234C22semidirect
110. #17989234C22semidirect
111. #17989233C22semidirect
112. #17989233C22semidirect
113. #17989233C22semidirect
114. #17989232C22semidirect
115. #17989230C22semidirect
116. #17989230C22semidirect
117. #17989229C22semidirect
118. #17989229C22semidirect
119. #17989228C22semidirect
120. #17989228C22semidirect
121. #17989226C22semidirect
122. #17989225C22semidirect
123. D4×D292C22semidirect
124. D4×D292C22semidirect
125. D4×D292C22semidirect
126. #17989221C22semidirect
127. #17989221C22semidirect
128. #17989221C22semidirect
129. #17989221C22semidirect
130. #17989217C22semidirect
131. #17989214C22semidirect
132. #17989211C22semidirect
133. #17989211C22semidirect
134. #17989211C22semidirect
135. #17989209C22semidirect
136. #17989208C22semidirect
137. #17989207C22semidirect
138. #17989207C22semidirect
139. #17989205C22semidirect
140. #17989202C22semidirect
141. #17989193C22semidirect
142. #17989193C22semidirect
143. #17989193C22semidirect
144. #17989192C22semidirect
145. #17989189C22semidirect
146. #17989189C22semidirect
147. #17989188C22semidirect
148. #17989188C22semidirect
149. #17989187C22semidirect
150. #17989177C22semidirect
151. #17989177C22semidirect
152. #17989176C22semidirect
153. #17989176C22semidirect
154. #17989173C22semidirect
155. #17989171C22semidirect
156. #17989171C22semidirect
157. #17989169C22semidirect
158. #17989168C22semidirect
159. #17989168C22semidirect
160. #17989167C22semidirect
161. #17989167C22semidirect
162. #17989167C22semidirect
163. #17989167C22semidirect
164. #17989167C22semidirect
165. #17989166C22semidirect
166. #17989165C22semidirect
167. #17989165C22semidirect
168. #17989162C22semidirect
169. #17989161C22semidirect
170. #17989160C22semidirect
171. #17989160C22semidirect
172. #17989160C22semidirect
173. #17989156C22semidirect
174. #17989156C22semidirect
175. #17989156C22semidirect
176. #17989155C22semidirect
177. #17989155C22semidirect
178. #17989153C22semidirect
179. #17989153C22semidirect
180. #17989153C22semidirect
181. #17989153C22semidirect
182. #17989153C22semidirect
183. #17989151C22semidirect
184. #17989150C22semidirect
185. #17989148C22semidirect
186. #17989148C22semidirect
187. #17989145C22semidirect
188. #17989145C22semidirect
189. #17989143C22semidirect
190. #17989142C22semidirect
191. #17989142C22semidirect
192. #17989141C22semidirect
193. #17989139C22semidirect
195. #17989138C22semidirect
196. #17989138C22semidirect
197. #17989138C22semidirect
198. #17989138C22semidirect
199. #17989137C22semidirect
200. #17989137C22semidirect
202. #17989136C22semidirect
203. #17989136C22semidirect
204. #17989136C22semidirect
205. #17989135C22semidirect
207. #17989134C22semidirect
208. #17989134C22semidirect
209. #17989134C22semidirect
210. #17989133C22semidirect
212. #17989132C22semidirect
213. #17989132C22semidirect
214. #17989132C22semidirect
215. #17989132C22semidirect
216. #17989132C22semidirect
217. #17989132C22semidirect
218. C4⋊Q8×D73C22semidirect
220. #17989124C22semidirect
221. #17989124C22semidirect
222. #17989123C22semidirect
223. #17989123C22semidirect
224. #17989123C22semidirect
225. #17989122C22semidirect
226. #17989122C22semidirect
227. #17989122C22semidirect
228. #17989122C22semidirect
229. #17989122C22semidirect
230. #17989121C22semidirect
231. #17989120C22semidirect
232. #17989120C22semidirect
233. #17989120C22semidirect
234. #17989118C22semidirect
235. #17989116C22semidirect
236. #17989116C22semidirect
237. #17989115C22semidirect
238. #17989114C22semidirect
239. #17989114C22semidirect
240. #124×D73C22semidirect
241. #17989100C22semidirect
242. #17989100C22semidirect
243. #17989100C22semidirect
244. #17989100C22semidirect
245. #17989100C22semidirect
246. #17989100C22semidirect
247. #17989100C22semidirect
248. #17989100C22semidirect
249. #17989100C22semidirect
250. #17989099C22semidirect
251. #17989097C22semidirect
252. #17989097C22semidirect
253. #17989097C22semidirect
254. #17989097C22semidirect
255. #17989096C22semidirect
256. #17989095C22semidirect
257. #17989095C22semidirect
258. #17989095C22semidirect
259. #17989095C22semidirect
260. #121×D73C22semidirect
261. #121×D73C22semidirect
262. #121×D73C22semidirect
263. C4×#11924029C22semidirect
264. C4×#11924029C22semidirect
265. C4×#11924029C22semidirect
266. #17989055C22semidirect
267. #17989055C22semidirect
268. #17989055C22semidirect
269. #17989055C22semidirect
270. C4×#11924027C22semidirect
271. C4×#11924027C22semidirect
272. C4×#11924027C22semidirect
273. C2×#14556553C22semidirect
274. C4×D4×D73C22semidirect
275. C4×D4×D73C22semidirect
276. C4×D4×D73C22semidirect
277. C4×D4×D73C22semidirect
278. C4×D4×D73C22semidirect
279. C2×#14556549C22semidirect
280. #117×D73C22semidirect
281. C2×C42×D73C22semidirect
282. #562×C73C22semidirect
283. #555×C73C22semidirect
284. #555×C73C22semidirect
285. #554×C73C22semidirect
286. #553×C73C22semidirect
287. #552×C73C22semidirect
288. D4×Q8×C73C22semidirect
289. #548×C73C22semidirect
290. #547×C73C22semidirect
291. #544×C73C22semidirect
292. #542×C73C22semidirect
293. #540×C73C22semidirect
294. #537×C73C22semidirect
295. #536×C73C22semidirect
296. #533×C73C22semidirect
297. #532×C73C22semidirect
298. #529×C73C22semidirect
1370. #3547D73semidirect
1397. C73#62759semidirect
1409. #562C2×D73semidirect
1429. #555C2×D73semidirect
1430. #555C2×D73semidirect
1435. #554C2×D73semidirect
1442. #553C2×D73semidirect
1449. #552C2×D73semidirect
1466. D4×Q8C2×D73semidirect
1470. #548C2×D73semidirect
1479. #547C2×D73semidirect
1503. #544C2×D73semidirect
1513. #542C2×D73semidirect
1523. #540C2×D73semidirect
1542. #537C2×D73semidirect
1548. #536C2×D73semidirect
1570. #533C2×D73semidirect
1595. #532C2×D73semidirect
1618. #529C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226243592
#226243472
#226243382
#226243322
#226243302
#226243282
#226243182
#226243142
#226243052
#226243032
#226242932
#226242792
#226242742
#226242602
#226242542
#226242502
#226242442
#226240682
#226235562
#226235382
#226234972
#226234882
#226234842
D4×#119240292
#226234202
#226234182
#226233542
#226233512
#226233462
#226232632
#226232592
#226232282
#226232252
#532×D732
C73×#35472
#6275973