Finite Group Databasebeta

← #33993656

Subgroups — #33993656

Order 18688.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624526C212yesmaximal, complemented
2#22624517C212yesmaximal, complemented
3#22624500C212yesmaximal, complemented
4#22624482C214yesmaximal, complemented
5#22624463C212yesmaximal, complemented
6#22624451C212yesmaximal, complemented
7#22624448C212yesmaximal, complemented
8#22624405C211yesmaximal, characteristic, complemented
9#22624390C211yesmaximal, characteristic, complemented
10#22624377C211yesmaximal, characteristic, complemented
11#22624361C211yesmaximal, characteristic, complemented
12#22624306C211yesmaximal, characteristic, complemented
13#22624291C211yesmaximal, characteristic, complemented
14#22624265C211yesmaximal, characteristic, complemented
15#22624255C211yesmaximal, characteristic, complemented
16#22624167C212yesmaximal, complemented
17#22624147C212yesmaximal, complemented
18#22624108C214yesmaximal, complemented
19#22624070C214yesmaximal, complemented
20#22623541C212yesmaximal, complemented
21#22623537C212yesmaximal, complemented
22#22623526C211yesmaximal, characteristic, complemented
23#41×D292C212yesmaximal, complemented
24#41×D292C211yesmaximal, characteristic, complemented
25#22623417C211yesmaximal, characteristic, complemented
26#22623417C212yesmaximal, complemented
27#22623352C212yesmaximal, complemented
28#22623347C212yesmaximal, complemented
29#22623341C214yesmaximal, complemented
30#22623316C212yesmaximal, complemented
31#22623258C212yesmaximal, complemented
32#22623224C211yesmaximal, characteristic, complemented
33#532×D73C211yesmaximal, characteristic, complemented
34C2×#17989124C211yesmaximal, characteristic, complemented
35C73×#3480C211yesmaximal, characteristic, complemented
36C2×#41×D73C2212yescomplemented
37C2×#41×D73C2212yescomplemented
38C2×#41×D73C2212yescomplemented
39#17989341C2214yescomplemented
40#17989339C2214yescomplemented
41#17989339C2214yescomplemented
42#17989335C2214yescomplemented
43#17989334C2214yescomplemented
44#17989334C2214yescomplemented
45#17989333C2214yescomplemented
46#17989333C2214yescomplemented
47#17989331C2214yescomplemented
48#17989329C2214yescomplemented
49#17989328C2214yescomplemented
50#17989328C2214yescomplemented
51#17989327C2214yescomplemented
52#17989327C2214yescomplemented
53#17989325C2214yescomplemented
54#17989325C2214yescomplemented
55#17989322C2212yescomplemented
56#17989322C2211yescharacteristic, complemented
57#17989322C2212yescomplemented
58#17989319C2212yescomplemented
59#17989316C2211yescharacteristic, complemented
60#17989310C2212yescomplemented
61#17989310C2211yescharacteristic, complemented
62#17989297C2212yescomplemented
63#17989295C2212yescomplemented
64#17989294C2212yescomplemented
65#17989293C2212yescomplemented
66#17989290C2212yescomplemented
67#17989289C2212yescomplemented
68#17989288C2214yescomplemented
69#17989285C2214yescomplemented
70#17989285C2212yescomplemented
71#17989283C2214yescomplemented
72#17989281C2212yescomplemented
73#17989281C2212yescomplemented
74#17989262C2214yescomplemented
75#17989261C2214yescomplemented
76#17989261C2214yescomplemented
77#17989260C2214yescomplemented
78#17989259C2211yescharacteristic, complemented
79#17989259C2211yescharacteristic, complemented
80#17989259C2212yescomplemented
81#17989257C2212yescomplemented
82#17989257C2211yescharacteristic, complemented
83Q8×D292C2212yescomplemented
84Q8×D292C2211yescharacteristic, complemented
85#17989252C2211yescharacteristic, complemented
86#17989252C2212yescomplemented
87#17989249C2212yescomplemented
88#17989249C2212yescomplemented
89#17989249C2212yescomplemented
90#17989248C2212yescomplemented
91#17989245C2212yescomplemented
92#17989245C2212yescomplemented
93#17989245C2212yescomplemented
94#17989241C2212yescomplemented
95#17989241C2211yescharacteristic, complemented
96#17989241C2212yescomplemented
97#17989241C2214yescomplemented
98#17989240C2212yescomplemented
99#17989240C2211yescharacteristic, complemented
100#17989237C2212yescomplemented
101#17989237C2214yescomplemented
102#17989233C2214yescomplemented
103#17989232C2212yescomplemented
104#17989232C2212yescomplemented
105#17989232C2214yescomplemented
106#17989232C2214yescomplemented
107#17989232C2214yescomplemented
108#17989232C2212yescomplemented
109#17989230C2212yescomplemented
110#17989230C2212yescomplemented
111#17989230C2212yescomplemented
112#17989230C2212yescomplemented
113#17989229C2214yescomplemented
114#17989228C2212yescomplemented
115#17989226C2214yescomplemented
116#17989226C2214yescomplemented
117#17989226C2214yescomplemented
118#17989225C2212yescomplemented
119#17989225C2212yescomplemented
120D4×D292C2212yescomplemented
121D4×D292C2212yescomplemented
122D4×D292C2211yescharacteristic, complemented
123D4×D292C2214yescomplemented
124D4×D292C2212yescomplemented
125#17989222C2211yescharacteristic, complemented
126#17989222C2212yescomplemented
127#17989221C2212yescomplemented
128#17989221C2214yescomplemented
129#17989221C2212yescomplemented
130#17989217C2212yescomplemented
131#17989215C2212yescomplemented
132#17989212C2214yescomplemented
133#17989210C2212yescomplemented
134#17989209C2212yescomplemented
135#17989209C2212yescomplemented
136#17989209C2212yescomplemented
137#17989209C2212yescomplemented
138#17989208C2214yescomplemented
139#17989206C2212yescomplemented
140#17989203C2214yescomplemented
141#17989202C2212yescomplemented
142#17989202C2212yescomplemented
143#17989195C2212yescomplemented
144#17989195C2212yescomplemented
145#17989193C2212yescomplemented
146#17989192C2214yescomplemented
147#17989190C2212yescomplemented
148#17989189C2214yescomplemented
149#17989188C2212yescomplemented
150#17989188C2212yescomplemented
151#17989188C2212yescomplemented
152#17989188C2212yescomplemented
153#17989185C2214yescomplemented
154#17989185C2214yescomplemented
155#17989181C2214yescomplemented
156#17989181C2214yescomplemented
157#17989179C2214yescomplemented
158#17989179C2214yescomplemented
159#17989178C2214yescomplemented
160#17989178C2214yescomplemented
161#17989177C2214yescomplemented
162#17989176C2214yescomplemented
163#17989176C2214yescomplemented
164#17989176C2214yescomplemented
165#17989174C2214yescomplemented
166#17989173C2214yescomplemented
167#17989171C2214yescomplemented
168#17989171C2214yescomplemented
169#17989170C2214yescomplemented
170#17989170C2214yescomplemented
171#17989170C2214yescomplemented
172#17989170C2214yescomplemented
173#17989167C2212yescomplemented
174#17989165C2212yescomplemented
175#17989164C2214yescomplemented
176#17989164C2214yescomplemented
177#17989162C2212yescomplemented
178#17989162C2212yescomplemented
179#17989157C2212yescomplemented
180#17989157C2212yescomplemented
181#17989156C2212yescomplemented
182#17989155C2212yescomplemented
183#17989155C2212yescomplemented
184#17989155C2212yescomplemented
185#17989153C2212yescomplemented
186#17989151C2212yescomplemented
187#17989150C2212yescomplemented
188#17989150C2212yescomplemented
189#17989148C2214yescomplemented
190#17989148C2214yescomplemented
191#17989145C2214yescomplemented
192#17989145C2214yescomplemented
193#17989145C2214yescomplemented
194#17989141C2211yescharacteristic, complemented
195#17989141C2211yescharacteristic, complemented
196#17989140C2211yescharacteristic, complemented
197#17989138C2211yescharacteristic, complemented
198#17989137C2212yescomplemented
199#17989137C2211yescharacteristic, complemented
200#17989137C2212yescomplemented
201#17989137C2214yescomplemented
202#17989136C2212yescomplemented
203#17989135C2211yescharacteristic, complemented
204#17989134C2211yescharacteristic, complemented
205#17989134C2212yescomplemented
206#17989134C2212yescomplemented
207#17989134C2214yescomplemented
208#17989134C2212yescomplemented
209#17989134C2211yescharacteristic, complemented
210#17989133C2211yescharacteristic, complemented
211#17989133C2212yescomplemented
212#17989132C2212yescomplemented
213#17989132C2212yescomplemented
214C4⋊Q8×D73C2211yescharacteristic, complemented
215#127×D73C2211yescharacteristic, complemented
216#17989124C2212yescomplemented
217#17989124C2211yescharacteristic, complemented
218#17989124C2211yescharacteristic, complemented
219#17989124C2211yescharacteristic, complemented
220#17989124C2211yescharacteristic, complemented
221#17989124C2212yescomplemented
222#17989124C2214yescomplemented
223#17989124C2211yescharacteristic, complemented
224#17989124C2211yescharacteristic, complemented
225#17989124C2211yescharacteristic, complemented
226#17989124C2212yescomplemented
227#17989124C2212yescomplemented
228#17989124C2211yescharacteristic, complemented
229#17989124C2211yescharacteristic, complemented
230#17989124C2211yescharacteristic, complemented
231#17989124C2212yescomplemented
232#17989121C2214yescomplemented
233#17989121C2214yescomplemented
234#17989119C2211yescharacteristic, complemented
235#17989119C2211yescharacteristic, complemented
236#17989117C2212yescomplemented
237#17989117C2212yescomplemented
238#17989115C2214yescomplemented
239#17989115C2212yescomplemented
240#17989115C2214yescomplemented
241#17989115C2212yescomplemented
242C2×#14556586C2212yescomplemented
243C2×#14556582C2211yescharacteristic, complemented
244C2×#14556580C2211yescharacteristic, complemented
245#124×D73C2212yescomplemented
246#17989099C2214yescomplemented
247#17989099C2214yescomplemented
248#17989099C2214yescomplemented
249#17989099C2212yescomplemented
250#17989099C2211yescharacteristic, complemented
251#17989096C2214yescomplemented
252#17989096C2214yescomplemented
253#17989096C2214yescomplemented
254#17989096C2214yescomplemented
255#17989096C2214yescomplemented
256#17989096C2214yescomplemented
257#17989096C2214yescomplemented
258#17989096C2212yescomplemented
259#17989096C2212yescomplemented
260#17989094C2212yescomplemented
261#17989094C2211yescharacteristic, complemented
262C2×#14556576C2212yescomplemented
263C2×#14556567C2211yescharacteristic, complemented
264C2×#14556566C2211yescharacteristic
265#121×D73C2212yescomplemented
266#121×D73C2212yescomplemented
267C4×#11924029C2212yescomplemented
268C4×#11924028C2212yescomplemented
269C4×#11924028C2211yescharacteristic, complemented
270C4×#11924028C2212yescomplemented
271C4×#11924028C2212yescomplemented
272C2×C4×D292C2212yescomplemented
273C2×C4×D292C2214yescomplemented
274C2×C4×D292C2211yescharacteristic, complemented
275C2×C4×D292C2212yescomplemented
276C4×D4×D73C2212yescomplemented
277C4×D4×D73C2214yescomplemented
278C4×D4×D73C2212yescomplemented
279C4×D4×D73C2212yescomplemented
280C2×#14556548C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#559×C73C2212yescomplemented
283#559×C73C2211yescharacteristic, complemented
284#557×C73C2211yescharacteristic, complemented
285#556×C73C2212yescomplemented
286#556×C73C2211yescharacteristic, complemented
287#553×C73C2214yescomplemented
288#553×C73C2212yescomplemented
289#550×C73C2211yescharacteristic, complemented
290#548×C73C2212yescomplemented
291#532×C73C2212yescomplemented
292#532×C73C2211yescharacteristic, complemented
293#529×C73C2212yescomplemented
294#529×C73C2214yescomplemented
295C4×#41×C73C2212yescomplemented
296C4×#41×C73C2212yescomplemented
297C4×#41×C73C2211yescharacteristic, complemented
298C2×C4×Q8×C73C2211yescharacteristic, complemented
299C2×#11924029C2312yes—
300C2×#11924029C2312yes—
301C2×#11924029C2312yes—
302C2×#11924029C2312yes—
303C2×#11924028C2311yescharacteristic
304C2×#11924028C2312yes—
305C2×#11924028C2314yes—
306C2×#11924028C2314yes—
307C2×#11924028C2314yes—
308C2×#11924028C2312yes—
309C2×#11924028C2312yes—
310C2×#11924027C2314yes—
311C2×#11924027C2312yes—
312C2×#11924027C2312yes—
313C2×#11924027C2312yes—
314C2×#11924027C2314yes—
315C2×#11924027C2314yes—
316#41×D73—48no—
317#41×D73—48no—
318#41×D73—48no—
319C2×Q8×D73C2312yes—
320C2×Q8×D73C2312yes—
321C2×Q8×D73C2312yes—
322C22×D292C2314yes—
323C22×D292C2312yes—
324C22×D292C2312yes—
325C22×D292C2311yescharacteristic
326C2×D4×D73C2312yes—
327C2×D4×D73C2312yes—
328C2×D4×D73C2312yes—
329C2×D4×D73C2314yes—
330C2×D4×D73C2314yes—
331C2×D4×D73C2314yes—
332C2×D4×D73C2312yes—
333C2×D4×D73C2312yes—
334C2×D4×D73C2312yes—
335C2×D4×D73C2314yes—
336C22×C4×D73C2311yescharacteristic
337C22×C4×D73C2312yes—
338C22×C4×D73C2314yes—
339C22×C4×D73C2314yes—
340C22×C4×D73C2314yes—
341C22×C4×D73C2311yescharacteristic
342C22×C4×D73C2311yescharacteristic
343#14556591C2311yescharacteristic
344#14556591C2312yes—
345#14556591C2312yes—
346#14556591C2314yes—
347#14556590C2312yes—
348#14556590C2312yes—
349#14556590C2311yescharacteristic
350#14556590C2311yescharacteristic
351#14556590C2314yes—
352#14556590C2312yes—
353#14556589C2312yes—
354#14556589C2311yescharacteristic
355#14556588C2311yescharacteristic
356#14556588C2312yes—
357#14556588C2312yes—
358#14556588C2314yes—
359#14556587C2312yes—
360#14556587C2312yes—
361#14556587C2312yes—
362#14556587C2311yescharacteristic
363#14556587C2312yes—
364#14556587C2314yes—
365#14556586C2312yes—
366#14556586C2312yes—
367#14556586C2312yes—
368#14556586C2312yes—
369#14556586C2312yes—
370#14556586C2312yes—
371#14556586C2312yes—
372#14556586C2312yes—
373#14556586C2314yes—
374#14556586C2314yes—
375#14556586C2314yes—
376#14556586C2312yes—
377#14556586C2312yes—
378#14556586C2314yes—
379#14556586C2314yes—
380#14556585C2314yes—
381#14556585C2314yes—
382#14556585C2314yes—
383#14556585C2314yes—
384#14556584C2312yes—
385#14556584C2314yes—
386#14556584C2314yes—
387#14556584C2312yes—
388#14556583C2314yes—
389#14556583C2314yes—
390#14556582C2312yes—
391#14556582C2311yescharacteristic
392#14556582C2311yescharacteristic
393#14556582C2311yescharacteristic
394#14556582C2311yescharacteristic
395#14556582C2312yes—
396#14556582C2311yescharacteristic
397#14556582C2311yescharacteristic
398#14556582C2314yes—
399#14556582C2312yes—
400#14556581C2312yes—
401#14556581C2312yes—
402#14556581C2314yes—
403#14556581C2314yes—
404#14556580C2311yescharacteristic
405#14556580C2311yescharacteristic
406#14556580C2311yescharacteristic
407#14556580C2312yes—
408#14556580C2311yescharacteristic
409#14556580C2311yescharacteristic
410#14556580C2312yes—
411#14556580C2312yes—
412#14556580C2314yes—
413#14556580C2312yes—
414#14556579C2314yes—
415#14556579C2314yes—
416#14556579C2312yes—
417#14556579C2312yes—
418#14556579C2312yes—
419#14556579C2314yes—
420#14556579C2314yes—
421#14556579C2314yes—
422#14556578C2312yes—
423#14556578C2311yescharacteristic
424#14556577C2314yes—
425#14556577C2314yes—
426#14556577C2314yes—
427#14556577C2314yes—
428#14556577C2312yes—
429#14556577C2314yes—
430#14556577C2312yes—
431#14556577C2314yes—
432#14556577C2314yes—
433#14556576C2312yes—
434#14556576C2312yes—
435#14556576C2312yes—
436#14556576C2312yes—
437#14556576C2312yes—
438#14556576C2312yes—
439#14556576C2312yes—
440#14556576C2312yes—
441#14556576C2314yes—
442#14556576C2312yes—
443#14556576C2314yes—
444#14556576C2314yes—
445#14556576C2312yes—
446#14556576C2314yes—
447#14556576C2314yes—
448#14556576C2314yes—
449#14556576C2314yes—
450#14556576C2314yes—
451#14556576C2314yes—
452#14556576C2314yes—
453#14556576C2314yes—
454#14556576C2314yes—
455#14556575C2314yes—
456#14556575C2314yes—
457#14556575C2314yes—
458#14556575C2314yes—
459#14556575C2314yes—
460#14556575C2314yes—
461#14556575C2314yes—
462#14556575C2312yes—
463#14556574C2314yes—
464#14556574C2314yes—
465#14556574C2314yes—
466#14556574C2314yes—
467#14556573C2312yes—
468#14556573C2314yes—
469#14556573C2314yes—
470#14556573C2314yes—
471#14556573C2314yes—
472#14556573C2314yes—
473#14556573C2314yes—
474#14556573C2314yes—
475#14556573C2314yes—
476#14556573C2314yes—
477#14556573C2312yes—
478#14556572C2314yes—
479#14556572C2312yes—
480#14556571C2311yescharacteristic
481#14556571C2311yescharacteristic
482#14556571C2314yes—
483#14556571C2314yes—
484#14556571C2314yes—
485#14556571C2314yes—
486#14556571C2314yes—
487#14556571C2312yes—
488#14556571C2312yes—
489#14556571C2314yes—
490#14556570C2314yes—
491#14556570C2314yes—
492#14556569C2312yes—
493#14556569C2312yes—
494#14556569C2314yes—
495#14556569C2314yes—
496#14556569C2314yes—
497#14556569C2314yes—
498#14556569C2314yes—
499#14556569C2314yes—
500#14556569C2314yes—
501#14556569C2314yes—
502#14556569C2314yes—
503#14556568C2312yes—
504#14556568C2312yes—
505#14556568C2314yes—
506#14556568C2314yes—
507#14556568C2314yes—
508#14556568C2314yes—
509#14556568C2314yes—
510#14556568C2314yes—
511#14556568C2314yes—
512#14556567C2311yescharacteristic
513#14556567C2311yescharacteristic
514#14556567C2312yes—
515#14556567C2311yescharacteristic
516#14556567C2311yescharacteristic
517#14556567C2312yes—
518#14556567C2311yescharacteristic
519#14556567C2311yescharacteristic
520#14556567C2312yes—
521#14556567C2314yes—
522#14556567C2312yes—
523#14556567C2312yes—
524#14556566C2312yes—
525#14556566C2311yescharacteristic
526#14556566C2311yescharacteristic
527#14556566C2311yescharacteristic
528#14556566C2311yescharacteristic
529#14556566C2312yes—
530#14556566C2311yescharacteristic
531#14556566C2311yescharacteristic
532#14556566C2314yes—
533#14556566C2312yes—
534#14556566C2312yes—
535#14556566C2312yes—
536#14556566C2312yes—
537#14556566C2314yes—
538#14556566C2314yes—
539#14556566C2314yes—
540#14556566C2314yes—
541#14556566C2314yes—
542#14556566C2314yes—
543#14556566C2312yes—
544#14556566C2312yes—
545#14556566C2314yes—
546#14556565C2314yes—
547#14556565C2314yes—
548#14556565C2312yes—
549#14556565C2312yes—
550#14556565C2314yes—
551#14556565C2314yes—
552#14556565C2314yes—
553#14556565C2312yes—
554#14556565C2314yes—
555#14556565C2312yes—
556#14556565C2314yes—
557#14556565C2314yes—
558#14556565C2314yes—
559#14556564C2314yes—
560#14556564C2314yes—
561#14556564C2312yes—
562#14556564C2314yes—
563#14556564C2314yes—
564#14556564C2314yes—
565#14556564C2312yes—
566#14556564C2314yes—
567#14556564C2314yes—
568#14556564C2314yes—
569#14556564C2314yes—
570#14556564C2314yes—
571#14556564C2314yes—
572#14556564C2314yes—
573#14556564C2314yes—
574#14556564C2314yes—
575#14556563C2314yes—
576#14556563C2314yes—
577#14556563C2312yes—
578#14556563C2312yes—
579#14556563C2314yes—
580#14556563C2314yes—
581#14556563C2314yes—
582#14556563C2314yes—
583#14556563C2314yes—
584#14556563C2314yes—
585#14556563C2314yes—
586#14556562C2312yes—
587#14556562C2312yes—
588#14556562C2312yes—
589#14556562C2314yes—
590#14556562C2311yescharacteristic
591#14556562C2311yescharacteristic
592#14556562C2312yes—
593#14556562C2312yes—
594#14556561C2314yes—
595#14556561C2314yes—
596#14556561C2314yes—
597#14556561C2314yes—
598#14556561C2314yes—
599#14556561C2314yes—
600#14556561C2314yes—
601#14556561C2314yes—
602#14556561C2314yes—
603#14556561C2314yes—
604#14556561C2314yes—
605#14556561C2314yes—
606#14556561C2314yes—
607#14556561C2314yes—
608#14556561C2312yes—
609#14556559C2314yes—
610#14556559C2314yes—
611#14556559C2314yes—
612#14556559C2314yes—
613#14556559C2314yes—
614#14556559C2314yes—
615#14556559C2314yes—
616#14556559C2314yes—
617#14556559C2312yes—
618Q8×Dic73C2312yes—
619C4×Dic146C2312yes—
620C4×Dic146C2312yes—
621C4×Dic146C2312yes—
622C4×Dic146C2311yescharacteristic
623C4×Dic146C2311yescharacteristic
624C4×Dic146C2312yes—
625C4×Dic146C2312yes—
626C4×Dic146C2312yes—
627C4×D292C2314yes—
628C4×D292C2314yes—
629C4×D292C2311yescharacteristic
630C4×D292C2312yes—
631C4×D292C2312yes—
632C4×D292C2311yescharacteristic
633C4×D292C2312yes—
634C4×D292C2314yes—
635C4×D292C2312yes—
636C4×D292C2311yescharacteristic
637C4×D292C2312yes—
638C4×D292C2311yescharacteristic
639C4×D292C2312yes—
640C4×D292C2312yes—
641C4×D292C2312yes—
642C4×D292C2312yes—
643C4×D292C2312yes—
644C4×D292C2312yes—
645C4×D292C2312yes—
646C4×D292C2311yescharacteristic
647C4×D292C2311yescharacteristic
648C4×D292C2314yes—
649C4×D292C2312yes—
650C4×D292C2312yes—
651C4×D292C2312yes—
652C4×D292C2314yes—
653C4×D292C2314yes—
654C4×D292C2314yes—
655C4×D292C2314yes—
656C4×D292C2312yes—
657C4×D292C2312yes—
658C4×D292C2312yes—
659C4×D292C2312yes—
660C4×D292C2314yes—
661C4×D292C2312yes—
662D4×Dic73C2312yes—
663D4×Dic73C2312yes—
664D4×Dic73C2314yes—
665D4×Dic73C2312yes—
666#14556553C2312yes—
667#14556553C2312yes—
668#14556553C2314yes—
669#14556553C2314yes—
670#14556553C2312yes—
671#14556553C2312yes—
672C4×C22⋊D73C2314yes—
673C4×C22⋊D73C2314yes—
674C4×C22⋊D73C2314yes—
675C4×C22⋊D73C2314yes—
676C4×C22⋊D73C2312yes—
677C4×C22⋊D73C2312yes—
678C4×C22⋊D73C2312yes—
679C4×C22⋊D73C2312yes—
680C4×C22⋊D73C2312yes—
681C4×C22⋊D73C2312yes—
682C4×C22⋊D73C2314yes—
683C4×C22⋊D73C2314yes—
684C4×C22⋊D73C2312yes—
685C4×C22⋊D73C2312yes—
686C4×C22⋊D73C2312yes—
687C4×C22⋊D73C2312yes—
688#14556551C2314yes—
689#14556551C2314yes—
690#14556551C2314yes—
691#14556551C2314yes—
692#14556551C2314yes—
693#14556550C2311yescharacteristic
694#14556550C2312yes—
695#14556550C2312yes—
696#14556549C2312yes—
697#14556549C2314yes—
698#14556548C2312yes—
699#14556548C2312yes—
700#14556548C2314yes—
701#14556548C2312yes—
702#14556548C2312yes—
703#14556548C2312yes—
704#14556548C2312yes—
705#14556548C2312yes—
706#14556548C2312yes—
707#14556548C2312yes—
708#14556548C2312yes—
709#14556548C2312yes—
710#14556548C2312yes—
711#14556548C2312yes—
712C2×C4⋊Dic73C2312yes—
713C2×C4⋊Dic73C2314yes—
714C2×C4⋊Dic73C2311yescharacteristic
715C2×C4⋊Dic73C2312yes—
716C2×#11924007C2312yes—
717C2×#11924007C2312yes—
718C4⋊C4×D73C2312yes—
719C4⋊C4×D73C2312yes—
720C4⋊C4×D73C2312yes—
721C4⋊C4×D73C2314yes—
722C2×#11924005C2312yes—
723C2×#11924005C2312yes—
724C2×#11924005C2314yes—
725C2×#11924005C2314yes—
726C2×#11924005C2314yes—
727C2×#11924005C2312yes—
728C2×#11924005C2312yes—
729C2×#11924005C2312yes—
730C22⋊C4×D73C2314yes—
731C22⋊C4×D73C2314yes—
732C22⋊C4×D73C2314yes—
733C22⋊C4×D73C2314yes—
734C22⋊C4×D73C2314yes—
735C2×C4×Dic73C2311yescharacteristic
736C2×C4×Dic73C2311yescharacteristic
737C2×C4×Dic73C2311yescharacteristic
738C42×D73C2311yescharacteristic
739C42×D73C2311yescharacteristic
740C42×D73C2311yescharacteristic
741C42×D73C2311yescharacteristic
742C42×D73C2311yescharacteristic
743C42×D73C2311yescharacteristic
744C42×D73C2311yescharacteristic
745C42×D73C2311yescharacteristic
746C42×D73C2312yes—
747C42×D73C2314yes—
748C2×#41×C73C2311yescharacteristic
749C2×#41×C73C2312yes—
750C2×#41×C73C2312yes—
751C22×Q8×C73C2311yescharacteristic
752C4⋊Q8×C73C2311yescharacteristic
753C4⋊Q8×C73C2312yes—
754#127×C73C2311yescharacteristic
755#127×C73C2312yes—
756#126×C73C2314yes—
757#126×C73C2314yes—
758#126×C73C2314yes—
759#125×C73C2314yes—
760#125×C73C2312yes—
761#124×C73C2312yes—
762#124×C73C2312yes—
763#124×C73C2312yes—
764#124×C73C2312yes—
765#124×C73C2314yes—
766#123×C73C2314yes—
767#123×C73C2314yes—
768#123×C73C2314yes—
769C22⋊Q8×C73C2312yes—
770C22⋊Q8×C73C2314yes—
771#121×C73C2312yes—
772#121×C73C2312yes—
773#121×C73C2314yes—
774#121×C73C2314yes—
775#121×C73C2314yes—
776#121×C73C2312yes—
777C4×Q8×C73C2311yescharacteristic
778C4×Q8×C73C2312yes—
779C4×Q8×C73C2311yescharacteristic
780C4×Q8×C73C2311yescharacteristic
781C4×Q8×C73C2311yescharacteristic
782C4×Q8×C73C2312yes—
783C4×Q8×C73C2311yescharacteristic
784C4×Q8×C73C2311yescharacteristic
785C4×Q8×C73C2312yes—
786C4×Q8×C73C2312yes—
787C4×Q8×C73C2312yes—
788C4×D4×C73C2312yes—
789C4×D4×C73C2311yescharacteristic
790C4×D4×C73C2311yescharacteristic
791C4×D4×C73C2312yes—
792C4×D4×C73C2314yes—
793C4×D4×C73C2314yes—
794C4×D4×C73C2314yes—
795C4×D4×C73C2314yes—
796C4×D4×C73C2312yes—
797C4×D4×C73C2312yes—
798C4×D4×C73C2312yes—
799C4×D4×C73C2312yes—
800C4×D4×C73C2312yes—
801C4×D4×C73C2314yes—
802#117×C73C2311yescharacteristic
803#117×C73C2312yes—
804#117×C73C2314yes—
805#117×C73C2314yes—
806#117×C73C2312yes—
807C2×C4⋊C4×C73C2311yescharacteristic
808C2×C4⋊C4×C73C2312yes—
809C2×C42×C73C2314yes—
810C2×C42×C73C2311yescharacteristic
811C2×C42×C73C2312yes—
812C2×C42×C73C2312yes—
813C23×D73C2411yescharacteristic
814C23×D73C2414yes—
815C23×D73C2412yes—
816C23×D73C2414yes—
817C23×D73C2414yes—
818#11924029—44no—
819#11924029—44no—
820#11924029—44no—
821#11924029—44no—
822#11924028—24no—
823#11924028—28no—
824#11924028—48no—
825#11924028—48no—
826#11924028—48no—
827#11924028—44no—
828#11924028—44no—
829#11924027—44no—
830#11924027—44no—
831#11924027—44no—
832#11924027—48no—
833#11924027—48no—
834#11924027—48no—
835C2×Dic146C2411yescharacteristic
836C2×Dic146C2412yes—
837C2×Dic146C2412yes—
838C2×Dic146C2412yes—
839C2×Dic146C2414yes—
840C2×Dic146C2414yes—
841C2×Dic146C2414yes—
842Q8×D73—44no—
843Q8×D73—44no—
844Q8×D73—44no—
845C2×D292—42no—
846C2×D292—44no—
847C2×D292—44no—
848C2×D292—48no—
849C2×D292C2412yes—
850C2×D292C2411yescharacteristic
851C2×D292C2412yes—
852C2×D292C2412yes—
853C2×D292C2412yes—
854C2×D292C2411yescharacteristic
855C2×D292C2411yescharacteristic
856C2×D292C2412yes—
857C2×D292C2414yes—
858C2×D292C2412yes—
859C2×D292C2412yes—
860C2×D292C2414yes—
861C2×D292C2414yes—
862C2×D292C2412yes—
863C2×D292C2412yes—
864C2×D292C2414yes—
865C2×D292C2412yes—
866C2×D292C2414yes—
867C2×D292C2414yes—
868C2×D292C2414yes—
869C2×C22⋊D73C2412yes—
870C2×C22⋊D73C2414yes—
871C2×C22⋊D73C2412yes—
872C2×C22⋊D73C2414yes—
873C2×C22⋊D73C2414yes—
874C2×C22⋊D73C2414yes—
875C2×C22⋊D73C2414yes—
876C2×C22⋊D73C2412yes—
877C2×C22⋊D73C2412yes—
878C2×C22⋊D73C2412yes—
879C2×C22⋊D73C2414yes—
880C2×C22⋊D73C2414yes—
881C2×C22⋊D73C2414yes—
882C2×C22⋊D73C2414yes—
883C2×C22⋊D73C2414yes—
884C2×C22⋊D73C2414yes—
885D4×D73—44no—
886D4×D73—44no—
887D4×D73—44no—
888D4×D73—44no—
889D4×D73—44no—
890D4×D73—44no—
891D4×D73—48no—
892D4×D73—48no—
893D4×D73—48no—
894D4×D73—48no—
895C22×Dic73C2411yescharacteristic
896C22×Dic73C2412yes—
897C22×Dic73C2411yescharacteristic
898C22×Dic73C2411yescharacteristic
899C22×Dic73C2414yes—
900C22×Dic73C2414yes—
901C22×Dic73C2414yes—
902C2×C4×D73—24no—
903C2×C4×D73—28no—
904C2×C4×D73—42no—
905C2×C4×D73—48no—
906C2×C4×D73—48no—
907C2×C4×D73—48no—
908C2×C4×D73—42no—
909C2×C4×D73C2411yescharacteristic
910C2×C4×D73C2411yescharacteristic
911C2×C4×D73C2411yescharacteristic
912C2×C4×D73C2411yescharacteristic
913C2×C4×D73C2411yescharacteristic
914C2×C4×D73C2411yescharacteristic
915C2×C4×D73C2411yescharacteristic
916C2×C4×D73C2411yescharacteristic
917C2×C4×D73C2412yes—
918C2×C4×D73C2412yes—
919C2×C4×D73C2414yes—
920C2×C4×D73C2412yes—
921C2×C4×D73C2412yes—
922C2×C4×D73C2412yes—
923C2×C4×D73C2412yes—
924C2×C4×D73C2411yescharacteristic
925C2×C4×D73C2411yescharacteristic
926C2×C4×D73C2411yescharacteristic
927C2×C4×D73C2411yescharacteristic
928C2×C4×D73C2412yes—
929C2×C4×D73C2414yes—
930C2×C4×D73C2414yes—
931C2×C4×D73C2414yes—
932C2×C4×D73C2414yes—
933C2×C4×D73C2414yes—
934C2×C4×D73C2414yes—
935C2×C4×D73C2414yes—
936C2×C4×D73C2414yes—
937C4⋊Dic73C2411yescharacteristic
938C4⋊Dic73C2412yes—
939C4⋊Dic73C2412yes—
940C4⋊Dic73C2412yes—
941C4⋊Dic73C2411yescharacteristic
942C4⋊Dic73C2412yes—
943C4⋊Dic73C2412yes—
944C4⋊Dic73C2412yes—
945C4⋊Dic73C2412yes—
946C4⋊Dic73C2414yes—
947C4⋊Dic73C2414yes—
948C4⋊Dic73C2414yes—
949C4⋊Dic73C2412yes—
950C4⋊Dic73C2414yes—
951C4⋊Dic73C2411yescharacteristic
952C4⋊Dic73C2411yescharacteristic
953C4⋊Dic73C2412yes—
954C4⋊Dic73C2412yes—
955C4⋊Dic73C2412yes—
956#11924007C2412yes—
957#11924007C2414yes—
958#11924007C2414yes—
959#11924007C2414yes—
960#11924007C2414yes—
961#11924007C2412yes—
962#11924007C2412yes—
963#11924007C2412yes—
964#11924007C2412yes—
965#11924007C2412yes—
966#11924007C2412yes—
967#11924007C2412yes—
968#11924007C2412yes—
969#11924007C2414yes—
970#11924007C2412yes—
971#11924007C2412yes—
972#11924007C2412yes—
973#11924007C2412yes—
974#11924007C2412yes—
975#11924007C2414yes—
976#11924007C2412yes—
977#11924007C2412yes—
978#11924007C2412yes—
979#11924007C2412yes—
980C22⋊Dic73C2412yes—
981C22⋊Dic73C2414yes—
982C22⋊Dic73C2414yes—
983C22⋊Dic73C2414yes—
984C22⋊Dic73C2414yes—
985C22⋊Dic73C2412yes—
986C22⋊Dic73C2412yes—
987C22⋊Dic73C2412yes—
988C22⋊Dic73C2412yes—
989#11924005C2412yes—
990#11924005C2412yes—
991#11924005C2412yes—
992#11924005C2412yes—
993#11924005C2414yes—
994#11924005C2414yes—
995#11924005C2414yes—
996#11924005C2414yes—
997#11924005C2414yes—
998#11924005C2414yes—
999#11924005C2412yes—
1000#11924005C2412yes—
1001#11924005C2412yes—
1002#11924005C2412yes—
1003#11924005C2412yes—
1004#11924005C2412yes—
1005#11924005C2412yes—
1006#11924005C2412yes—
1007#11924005C2412yes—
1008#11924005C2412yes—
1009#11924005C2412yes—
1010#11924005C2412yes—
1011#11924005C2412yes—
1012#11924005C2412yes—
1013#11924005C2412yes—
1014#11924005C2414yes—
1015#11924005C2414yes—
1016#11924005C2412yes—
1017#11924005C2412yes—
1018#11924005C2414yes—
1019#11924005C2414yes—
1020#11924005C2414yes—
1021#11924005C2414yes—
1022#11924005C2412yes—
1023#11924005C2412yes—
1024#11924005C2412yes—
1025#11924005C2414yes—
1026#11924005C2412yes—
1027#11924005C2412yes—
1028#11924005C2412yes—
1029#11924005C2412yes—
1030#11924005C2412yes—
1031#11924005C2414yes—
1032#11924005C2412yes—
1033#11924005C2414yes—
1034#11924005C2414yes—
1035C4×Dic73C2412yes—
1036C4×Dic73C2411yescharacteristic
1037C4×Dic73C2411yescharacteristic
1038C4×Dic73C2411yescharacteristic
1039C4×Dic73C2411yescharacteristic
1040C4×Dic73C2411yescharacteristic
1041C4×Dic73C2411yescharacteristic
1042C4×Dic73C2411yescharacteristic
1043C4×Dic73C2411yescharacteristic
1044C4×Dic73C2411yescharacteristic
1045C4×Dic73C2411yescharacteristic
1046C4×Dic73C2411yescharacteristic
1047C4×Dic73C2411yescharacteristic
1048C4×Dic73C2412yes—
1049C4×Dic73C2412yes—
1050C4×Dic73C2414yes—
1051C4×Dic73C2414yes—
1052#41×C73—24no—
1053#41×C73—28no—
1054#41×C73—44no—
1055C2×Q8×C73—42no—
1056C2×Q8×C73C2411yescharacteristic
1057C2×Q8×C73C2411yescharacteristic
1058C2×Q8×C73C2411yescharacteristic
1059C2×Q8×C73C2412yes—
1060C2×Q8×C73C2412yes—
1061C2×D4×C73C2414yes—
1062C2×D4×C73C2412yes—
1063C2×D4×C73C2412yes—
1064C2×D4×C73C2411yescharacteristic
1065C2×D4×C73C2412yes—
1066C2×D4×C73C2414yes—
1067C2×D4×C73C2412yes—
1068C2×D4×C73C2414yes—
1069C22×C4×C73C2411yescharacteristic
1070C22×C4×C73C2414yes—
1071C22×C4×C73C2412yes—
1072C22×C4×C73C2412yes—
1073C22×C4×C73C2411yescharacteristic
1074C22×C4×C73C2412yes—
1075C22×C4×C73C2412yes—
1076C22×C4×C73C2414yes—
1077C22×C4×C73C2412yes—
1078C22×C4×C73C2414yes—
1079C22×C4×C73C2411yescharacteristic
1080C4⋊C4×C73C2411yescharacteristic
1081C4⋊C4×C73C2412yes—
1082C4⋊C4×C73C2411yescharacteristic
1083C4⋊C4×C73C2412yes—
1084C4⋊C4×C73C2412yes—
1085C4⋊C4×C73C2412yes—
1086C4⋊C4×C73C2412yes—
1087C4⋊C4×C73C2411yescharacteristic
1088C4⋊C4×C73C2411yescharacteristic
1089C4⋊C4×C73C2412yes—
1090C4⋊C4×C73C2414yes—
1091C4⋊C4×C73C2414yes—
1092C4⋊C4×C73C2412yes—
1093C4⋊C4×C73C2414yes—
1094C4⋊C4×C73C2412yes—
1095C4⋊C4×C73C2412yes—
1096C4⋊C4×C73C2414yes—
1097C22⋊C4×C73C2412yes—
1098C22⋊C4×C73C2412yes—
1099C22⋊C4×C73C2414yes—
1100C22⋊C4×C73C2414yes—
1101C22⋊C4×C73C2414yes—
1102C22⋊C4×C73C2414yes—
1103C22⋊C4×C73C2412yes—
1104C22⋊C4×C73C2414yes—
1105C22⋊C4×C73C2414yes—
1106C22⋊C4×C73C2414yes—
1107C22⋊C4×C73C2414yes—
1108C42×C73C2412yes—
1109C42×C73C2411yescharacteristic
1110C42×C73C2412yes—
1111C42×C73C2411yescharacteristic
1112C42×C73C2412yes—
1113C42×C73C2412yes—
1114C42×C73C2414yes—
1115C42×C73C2412yes—
1116C42×C73C2414yes—
1117C42×C73C2411yescharacteristic
1118C42×C73C2412yes—
1119C42×C73C2411yescharacteristic
1120C42×C73C2412yes—
1121C23×C73C2512yes—
1122C23×C73C2514yes—
1123C23×C73C2511yescharacteristic
1124C22×D73—22no—
1125C22×D73—24no—
1126C22×D73—22no—
1127C22×D73—28no—
1128C22×D73—41no—
1129C22×D73—44no—
1130C22×D73—44no—
1131C22×D73—44no—
1132C22×D73—44no—
1133C22×D73—44no—
1134C22×D73—44no—
1135C22×D73—44no—
1136C22×D73—44no—
1137C22×D73—42no—
1138C22×D73—42no—
1139C22×D73C2512yes—
1140C22×D73C2512yes—
1141C22×D73C2512yes—
1142C22×D73C2514yes—
1143C22×D73C2511yescharacteristic
1144C22×D73C2511yescharacteristic
1145Q8×C73—22no—
1146Q8×C73—24no—
1147Q8×C73—22no—
1148Q8×C73—22no—
1149Q8×C73—42no—
1150D4×C73—28no—
1151D4×C73—24no—
1152D4×C73—22no—
1153D4×C73—24no—
1154D4×C73—24no—
1155D4×C73—44no—
1156D4×C73—42no—
1157D4×C73—44no—
1158C2×C4×C73—28no—
1159C2×C4×C73—24no—
1160C2×C4×C73—22no—
1161C2×C4×C73—24no—
1162C2×C4×C73—42no—
1163C2×C4×C73—44no—
1164C2×C4×C73—41no—
1165C2×C4×C73—44no—
1166C2×C4×C73—42no—
1167C2×C4×C73—42no—
1168C2×C4×C73H(5,𝔽2)14yes—
1169C2×C4×C73C2511yescharacteristic
1170C2×C4×C73C2512yes—
1171C2×C4×C73C2512yes—
1172C2×C4×C73C2512yes—
1173C2×C4×C73C2512yes—
1174C2×C4×C73C2511yescharacteristic
1175C2×C4×C73C2512yes—
1176C2×C4×C73C2512yes—
1177C2×C4×C73C2514yes—
1178C2×C4×C73C2511yescharacteristic
1179C2×C4×C73C2512yes—
1180C2×C4×C73C2511yescharacteristic
1181C2×C4×C73C2511yescharacteristic
1182C2×C4×C73C2511yescharacteristic
1183C22⋊D73—28no—
1184C22⋊D73—24no—
1185C22⋊D73—24no—
1186C22⋊D73—44no—
1187C22⋊D73—44no—
1188C22⋊D73—44no—
1189C22⋊D73—44no—
1190C22⋊D73—44no—
1191C22⋊D73—44no—
1192C22⋊D73—44no—
1193C22⋊D73—44no—
1194C22⋊D73—44no—
1195C22⋊D73—44no—
1196C22⋊D73—42no—
1197C22⋊D73—42no—
1198C22⋊D73—42no—
1199C2×Dic73—22no—
1200C2×Dic73—24no—
1201C2×Dic73—41no—
1202C2×Dic73—41no—
1203C2×Dic73—44no—
1204C2×Dic73—44no—
1205C2×Dic73—44no—
1206C2×Dic73C2511yescharacteristic
1207C2×Dic73C2511yescharacteristic
1208C2×Dic73C2512yes—
1209C2×Dic73C2512yes—
1210C2×Dic73C2511yescharacteristic
1211C2×Dic73C2511yescharacteristic
1212C2×Dic73C2511yescharacteristic
1213C2×Dic73C2511yescharacteristic
1214C2×Dic73C2512yes—
1215C2×Dic73C2514yes—
1216C2×Dic73C2512yes—
1217C2×Dic73C2512yes—
1218D292—24no—
1219D292—24no—
1220D292—24no—
1221D292—24no—
1222D292—22no—
1223D292—22no—
1224D292—24no—
1225D292—22no—
1226D292—42no—
1227D292—44no—
1228D292—44no—
1229D292—44no—
1230D292—44no—
1231D292—44no—
1232D292—42no—
1233D292—42no—
1234D292—42no—
1235D292—44no—
1236D292—42no—
1237D292—44no—
1238C4×D73—22no—
1239C4×D73—22no—
1240C4×D73—22no—
1241C4×D73—24no—
1242C4×D73—24no—
1243C4×D73—22no—
1244C4×D73—24no—
1245C4×D73—24no—
1246C4×D73—22no—
1247C4×D73—22no—
1248C4×D73—28no—
1249C4×D73—24no—
1250C4×D73—22no—
1251C4×D73—22no—
1252C4×D73—24no—
1253C4×D73—41no—
1254C4×D73—41no—
1255C4×D73—41no—
1256C4×D73—41no—
1257C4×D73—44no—
1258C4×D73—44no—
1259C4×D73—44no—
1260C4×D73—44no—
1261C4×D73—44no—
1262C4×D73—44no—
1263C4×D73—44no—
1264C4×D73—42no—
1265C4×D73—44no—
1266Dic146—24no—
1267Dic146—22no—
1268Dic146—44no—
1269Dic146—44no—
1270Dic146—44no—
1271Dic146—42no—
1272Dic146—42no—
1273C22×C73—21no—
1274C22×C73—21no—
1275C22×C73—24no—
1276C22×C73—22no—
1277C22×C73—22no—
1278C22×C73—22no—
1279C22×C73—24no—
1280C22×C73—24no—
1281C22×C73C2×H(5,𝔽2)12yes—
1282C22×C73C2611yescharacteristic
1283C2×D73—21no—
1284C2×D73—21no—
1285C2×D73—22no—
1286C2×D73—22no—
1287C2×D73—21no—
1288C2×D73—22no—
1289C2×D73—24no—
1290C2×D73—21no—
1291C2×D73—22no—
1292C2×D73—21no—
1293C2×D73—22no—
1294C2×D73—24no—
1295C2×D73—24no—
1296C2×D73—22no—
1297C2×D73—22no—
1298C2×D73—22no—
1299C2×D73—22no—
1300C2×D73—44no—
1301C2×D73—88no—
1302C2×D73—84no—
1303C2×D73—88no—
1304C2×D73—88no—
1305C2×D73#58512yes—
1306C4×C73—24no—
1307C4×C73—22no—
1308C4×C73—22no—
1309C4×C73—22no—
1310C4×C73—21no—
1311C4×C73—21no—
1312C4×C73—22no—
1313C4×C73—21no—
1314C4×C73—22no—
1315C4×C73—22no—
1316C4×C73—22no—
1317C4×C73C2×H(5,𝔽2)12yes—
1318C4×C73C2×H(5,𝔽2)12yes—
1319C4×C73#58512yes—
1320Dic73—24no—
1321Dic73—22no—
1322Dic73—21no—
1323Dic73—22no—
1324Dic73—22no—
1325Dic73—21no—
1326Dic73—21no—
1327Dic73—21no—
1328Dic73—22no—
1329Dic73—22no—
1330Dic73—21no—
1331Dic73—21no—
1332#62748—731nomaximal, Sylow
1333C2×C73—22no—
1334C2×C73—44no—
1335C2×C73—42no—
1336C2×C73C22×H(5,𝔽2)11yescharacteristic
1337C2×C73C2×#58511yescharacteristic
1338C2×C73C2×#58511yescharacteristic
1339D73—22no—
1340D73—41no—
1341D73—42no—
1342D73—44no—
1343D73—42no—
1344D73—42no—
1345#3562—732no—
1346#3562—732no—
1347#3561—732no—
1348#3560—734no—
1349#3559—732no—
1350#3558—732no—
1351#3558—732no—
1352#3554—731no—
1353#3554—731no—
1354#3552—731no—
1355#3552—731no—
1356#3546—731no—
1357#3546—731no—
1358#3543—731no—
1359#3543—731no—
1360#3537—732no—
1361#3536—732no—
1362#3534—734no—
1363#3529—734no—
1364#3481—732no—
1365#3481—732no—
1366#3480—731no—
1367#3480D7311yescharacteristic, complemented
1368D4×#41—732no—
1369D4×#41—731no—
1370D4×#41—732no—
1371D4×#41—731no—
1372#3460—732no—
1373#3460—732no—
1374#3459—734no—
1375#3455—732no—
1376#3449—732no—
1377#3444—731no—
1378C2×#532—731no—
1379C2×#529—731no—
1380C73#6274811yescharacteristic, complemented, Sylow
1381C22×#41—732no—
1382C22×#41—732no—
1383C22×#41—732no—
1384#563—734no—
1385#563—734no—
1386#563—734no—
1387#562—734no—
1388#562—734no—
1389#562—734no—
1390#562—734no—
1391#562—734no—
1392#562—734no—
1393H(3,𝔽4)—734no—
1394#560—734no—
1395#560—734no—
1396#560—734no—
1397#560—734no—
1398#560—734no—
1399#560—734no—
1400#559—732no—
1401#559—731no—
1402#559—732no—
1403#559—732no—
1404#559C2×D7311yescharacteristic, complemented
1405#559C2×D7312yescomplemented
1406#557—731no—
1407#557C2×D7311yescharacteristic, complemented
1408#556—731no—
1409#556—732no—
1410#556C2×D7311yescharacteristic, complemented
1411#556C2×D7312yescomplemented
1412#554—732no—
1413#554—732no—
1414#554—732no—
1415#554—732no—
1416#553—734no—
1417#553—732no—
1418#553—732no—
1419#553—734no—
1420#553—732no—
1421#553—732no—
1422#553—734no—
1423#553—732no—
1424#553C2×D7314yescomplemented
1425#553C2×D7312yescomplemented
1426#551—734no—
1427#551—734no—
1428#551—734no—
1429#551—734no—
1430#550—731no—
1431#550—732no—
1432#550—731no—
1433#550—732no—
1434#550—731no—
1435#550C2×D7311yescharacteristic, complemented
1436D4×Q8—731no—
1437D4×Q8—732no—
1438D4×Q8—731no—
1439D4×Q8—732no—
1440#548—732no—
1441#548—732no—
1442#548—732no—
1443#548—732no—
1444#548—732no—
1445#548—732no—
1446#548—732no—
1447#548C2×D7312yescomplemented
1448#547—731no—
1449#547—732no—
1450#547—732no—
1451#547—734no—
1452#547—732no—
1453#547—731no—
1454#547—732no—
1455#547—734no—
1456#546—732no—
1457#546—732no—
1458#546—732no—
1459#546—732no—
1460#546—732no—
1461#546—732no—
1462#546—734no—
1463#546—732no—
1464#546—734no—
1465#546—734no—
1466#546—734no—
1467#546—734no—
1468#546—734no—
1469#546—732no—
1470#546—732no—
1471#546—734no—
1472#546—732no—
1473#546—734no—
1474D42—731no—
1475D42—732no—
1476D42—734no—
1477D42—732no—
1478D42—732no—
1479D42—734no—
1480D42—732no—
1481D42—731no—
1482D42—732no—
1483D42—732no—
1484#544—732no—
1485#544—732no—
1486#543—734no—
1487#542—734no—
1488#542—732no—
1489#542—732no—
1490#542—732no—
1491#542—732no—
1492#542—732no—
1493#542—732no—
1494#542—732no—
1495#542—732no—
1496#542—734no—
1497#541—732no—
1498#541—732no—
1499#540—732no—
1500#540—734no—
1501#540—732no—
1502#540—732no—
1503#540—732no—
1504#540—732no—
1505#540—732no—
1506#540—734no—
1507#539—734no—
1508#539—734no—
1509#539—734no—
1510#539—734no—
1511#539—734no—
1512#539—734no—
1513#539—734no—
1514#539—734no—
1515#538—734no—
1516#538—734no—
1517#538—734no—
1518#538—734no—
1519#538—734no—
1520#538—734no—
1521#538—734no—
1522#538—734no—
1523#538—734no—
1524#538—734no—
1525#538—734no—
1526#538—734no—
1527#537—732no—
1528#537—732no—
1529#537—734no—
1530#537—734no—
1531#536—732no—
1532#536—732no—
1533#536—732no—
1534#536—732no—
1535#535—732no—
1536#535—732no—
1537#535—732no—
1538#535—732no—
1539#535—732no—
1540#535—732no—
1541#535—732no—
1542#535—732no—
1543#534—734no—
1544#534—734no—
1545#534—734no—
1546#534—734no—
1547#534—734no—
1548#533—731no—
1549#533—731no—
1550#533—731no—
1551#532—732no—
1552#532—731no—
1553#532—731no—
1554#532—731no—
1555#532—732no—
1556#532—732no—
1557#532—732no—
1558#532—732no—
1559#532—732no—
1560#532—731no—
1561#532—731no—
1562#532—732no—
1563#532—734no—
1564#532—731no—
1565#532—732no—
1566#532—732no—
1567#532—734no—
1568#532C2×D7311yescharacteristic, complemented
1569#532C2×D7312yescomplemented
1570C2×C4⋊Q8—731no—
1571C2×#127—731no—
1572#529—732no—
1573#529—731no—
1574#529—731no—
1575#529—731no—
1576#529—731no—
1577#529—732no—
1578#529—731no—
1579#529—731no—
1580#529—731no—
1581#529—731no—
1582#529—732no—
1583#529—732no—
1584#529—731no—
1585#529—731no—
1586#529—734no—
1587#529—732no—
1588#529—731no—
1589#529—732no—
1590#529—732no—
1591#529—731no—
1592#529—732no—
1593#529—732no—
1594#529—734no—
1595#529—734no—
1596#529—734no—
1597#529—734no—
1598#529C2×D7314yescomplemented
1599#529C2×D7312yescomplemented
1600C2×#126—732no—
1601C2×#125—731no—
1602C2×#124—731no—
1603C2×#124—732no—
1604#525—731no—
1605#525—732no—
1606#525—732no—
1607#525—732no—
1608#525—734no—
1609#525—734no—
1610#525—734no—
1611#525—734no—
1612#525—734no—
1613#525—734no—
1614#525—734no—
1615#525—731no—
1616#525—732no—
1617#525—734no—
1618#525—734no—
1619#525—734no—
1620C2×#123—732no—
1621C2×C22⋊Q8—731no—
1622C2×#121—732no—
1623C2×#121—732no—
1624C2×#121—731no—
1625C4×#41—732no—
1626C4×#41—732no—
1627C4×#41—731no—
1628C4×#41—732no—
1629C4×#41—732no—
1630C4×#41C2×D7311yescharacteristic, complemented
1631C4×#41C2×D7312yescomplemented
1632C4×#41C2×D7312yescomplemented
1633C2×C4×Q8C2×D7311yescharacteristic, complemented
1634C2×C4×D4—732no—
1635C2×C4×D4—732no—
1636C2×C4×D4—734no—
1637C2×C4×D4—732no—
1638C2×C4×D4—732no—
1639C2×C4×D4—731no—
1640C2×C4×D4—734no—
1641C2×C4×D4—732no—
1642C2×#117—732no—
1643C22×C42—731no—
1644C2×#41—2928no—
1645C2×#41—2928no—
1646C2×#41—2928no—
1647C2×#41—732no—
1648C2×#41—732no—
1649C2×#41—732no—
1650C2×#41—732no—
1651C2×#41—734no—
1652C2×#41—732no—
1653C2×#41—732no—
1654C2×#41—732no—
1655C2×#41—734no—
1656C2×#41—734no—
1657C2×#41—732no—
1658C2×#41—732no—
1659C2×#41—734no—
1660C2×#41—734no—
1661C2×#41—734no—
1662C2×#41—731no—
1663C2×#41—732no—
1664C2×#41C22×D7311yescharacteristic
1665C2×#41C22×D7312yes—
1666C2×#41C22×D7312yes—
1667C22×Q8—732no—
1668C22×Q8—732no—
1669C22×Q8—732no—
1670C22×Q8C22×D7311yescharacteristic
1671C22×D4—732no—
1672C22×D4—732no—
1673C22×D4—734no—
1674C22×D4—732no—
1675C22×D4—734no—
1676C22×D4—732no—
1677C22×D4—734no—
1678C22×D4—734no—
1679C22×D4—732no—
1680C22×D4—732no—
1681C22×D4—732no—
1682C22×D4—731no—
1683C22×D4—734no—
1684C22×D4—732no—
1685C23×C4—734no—
1686C23×C4—734no—
1687C23×C4—734no—
1688C23×C4—731no—
1689C23×C4—731no—
1690C23×C4—732no—
1691C23×C4—731no—
1692C4⋊Q8—732no—
1693C4⋊Q8—731no—
1694C4⋊Q8—732no—
1695C4⋊Q8—732no—
1696C4⋊Q8—731no—
1697C4⋊Q8—731no—
1698C4⋊Q8—732no—
1699C4⋊Q8—734no—
1700C4⋊Q8—731no—
1701C4⋊Q8—732no—
1702C4⋊Q8—732no—
1703C4⋊Q8—734no—
1704C4⋊Q8C22×D7311yescharacteristic
1705C4⋊Q8C22×D7312yes—
1706#127—732no—
1707#127—732no—
1708#127—732no—
1709#127—731no—
1710#127—732no—
1711#127—734no—
1712#127—731no—
1713#127—732no—
1714#127—732no—
1715#127—734no—
1716#127C22×D7311yescharacteristic
1717#127C22×D7312yes—
1718#126—732no—
1719#126—732no—
1720#126—732no—
1721#126—732no—
1722#126—732no—
1723#126—732no—
1724#126—732no—
1725#126—732no—
1726#126—732no—
1727#126—732no—
1728#126—734no—
1729#126—734no—
1730#126—734no—
1731#126—734no—
1732#126—734no—
1733#126—732no—
1734#126—732no—
1735#126—734no—
1736#126—734no—
1737#126—734no—
1738#126—734no—
1739#126—734no—
1740#126—734no—
1741#126C22×D7314yes—
1742#126C22×D7314yes—
1743#126C22×D7314yes—
1744#125—732no—
1745#125—731no—
1746#125—731no—
1747#125—731no—
1748#125—731no—
1749#125—732no—
1750#125—732no—
1751#125—731no—
1752#125—731no—
1753#125—732no—
1754#125—734no—
1755#125—734no—
1756#125—734no—
1757#125—732no—
1758#125—734no—
1759#125—734no—
1760#125C22×D7314yes—
1761#125C22×D7312yes—
1762#124—731no—
1763#124—731no—
1764#124—732no—
1765#124—731no—
1766#124—731no—
1767#124—732no—
1768#124—732no—
1769#124—731no—
1770#124—732no—
1771#124—734no—
1772#124—732no—
1773#124—731no—
1774#124—734no—
1775#124—734no—
1776#124—732no—
1777#124—732no—
1778#124—734no—
1779#124—734no—
1780#124—734no—
1781#124—734no—
1782#124—734no—
1783#124—732no—
1784#124—734no—
1785#124—734no—
1786#124—732no—
1787#124—732no—
1788#124—734no—
1789#124—734no—
1790#124—734no—
1791#124C22×D7312yes—
1792#124C22×D7312yes—
1793#124C22×D7314yes—
1794#124C22×D7312yes—
1795#124C22×D7312yes—
1796#123—732no—
1797#123—734no—
1798#123—734no—
1799#123—734no—
1800#123—734no—
1801#123—734no—
1802#123—732no—
1803#123—732no—
1804#123—732no—
1805#123—732no—
1806#123—732no—
1807#123—732no—
1808#123—732no—
1809#123—732no—
1810#123—732no—
1811#123—732no—
1812#123—734no—
1813#123—734no—
1814#123—734no—
1815#123—734no—
1816#123—734no—
1817#123—734no—
1818#123—734no—
1819#123—734no—
1820#123—734no—
1821#123—734no—
1822#123—734no—
1823#123—734no—
1824#123—732no—
1825#123—732no—
1826#123—732no—
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—734no—
1837#123—734no—
1838#123—734no—
1839#123—734no—
1840#123—734no—
1841#123—734no—
1842#123—734no—
1843#123C22×D7314yes—
1844#123C22×D7314yes—
1845#123C22×D7314yes—
1846C22⋊Q8—731no—
1847C22⋊Q8—731no—
1848C22⋊Q8—732no—
1849C22⋊Q8—731no—
1850C22⋊Q8—731no—
1851C22⋊Q8—732no—
1852C22⋊Q8—731no—
1853C22⋊Q8—731no—
1854C22⋊Q8—732no—
1855C22⋊Q8—732no—
1856C22⋊Q8—732no—
1857C22⋊Q8—734no—
1858C22⋊Q8—734no—
1859C22⋊Q8—734no—
1860C22⋊Q8—732no—
1861C22⋊Q8—731no—
1862C22⋊Q8—731no—
1863C22⋊Q8—732no—
1864C22⋊Q8—734no—
1865C22⋊Q8—734no—
1866C22⋊Q8—734no—
1867C22⋊Q8—734no—
1868C22⋊Q8—734no—
1869C22⋊Q8—734no—
1870C22⋊Q8—734no—
1871C22⋊Q8—734no—
1872C22⋊Q8—734no—
1873C22⋊Q8—734no—
1874C22⋊Q8—734no—
1875C22⋊Q8—732no—
1876C22⋊Q8—732no—
1877C22⋊Q8—734no—
1878C22⋊Q8—734no—
1879C22⋊Q8—734no—
1880C22⋊Q8—734no—
1881C22⋊Q8—732no—
1882C22⋊Q8—732no—
1883C22⋊Q8—734no—
1884C22⋊Q8—734no—
1885C22⋊Q8—734no—
1886C22⋊Q8—734no—
1887C22⋊Q8—734no—
1888C22⋊Q8—734no—
1889C22⋊Q8—734no—
1890C22⋊Q8C22×D7312yes—
1891C22⋊Q8C22×D7314yes—
1892#121—734no—
1893#121—734no—
1894#121—732no—
1895#121—732no—
1896#121—732no—
1897#121—732no—
1898#121—731no—
1899#121—731no—
1900#121—734no—
1901#121—734no—
1902#121—734no—
1903#121—734no—
1904#121—734no—
1905#121—734no—
1906#121—734no—
1907#121—732no—
1908#121—732no—
1909#121—732no—
1910#121—734no—
1911#121—732no—
1912#121—732no—
1913#121—734no—
1914#121—734no—
1915#121—734no—
1916#121—734no—
1917#121—732no—
1918#121—734no—
1919#121—732no—
1920#121—734no—
1921#121—734no—
1922#121—734no—
1923#121—734no—
1924#121—732no—
1925#121—731no—
1926#121—731no—
1927#121—731no—
1928#121—731no—
1929#121—732no—
1930#121—732no—
1931#121—732no—
1932#121—731no—
1933#121—731no—
1934#121—734no—
1935#121—734no—
1936#121—734no—
1937#121—734no—
1938#121—734no—
1939#121—734no—
1940#121—732no—
1941#121—732no—
1942#121—734no—
1943#121—732no—
1944#121—732no—
1945#121—734no—
1946#121—734no—
1947#121—734no—
1948#121—732no—
1949#121—732no—
1950#121—734no—
1951#121—734no—
1952#121—734no—
1953#121—734no—
1954#121—734no—
1955#121—734no—
1956#121—734no—
1957#121—734no—
1958#121—734no—
1959#121—734no—
1960#121—734no—
1961#121—734no—
1962#121C22×D7312yes—
1963#121C22×D7312yes—
1964#121C22×D7314yes—
1965#121C22×D7312yes—
1966#121C22×D7314yes—
1967#121C22×D7314yes—
1968#120—732no—
1969#120—734no—
1970#120—734no—
1971#120—734no—
1972#120—734no—
1973#120—734no—
1974#120—734no—
1975#120—734no—
1976#120—734no—
1977#120—732no—
1978#120—734no—
1979#120—734no—
1980#120—734no—
1981#120—734no—
1982#120—734no—
1983#120—734no—
1984#120—734no—
1985#120—734no—
1986#120—734no—
1987#120—734no—
1988#120—734no—
1989#120—734no—
1990#120—734no—
1991#120—734no—
1992C4×Q8—732no—
1993C4×Q8—732no—
1994C4×Q8—732no—
1995C4×Q8—732no—
1996C4×Q8—731no—
1997C4×Q8—731no—
1998C4×Q8—732no—
1999C4×Q8—732no—
2000C4×Q8—732no—
2001C4×Q8C22×D7311yescharacteristic
2002C4×Q8C22×D7311yescharacteristic
2003C4×Q8C22×D7312yes—
2004C4×Q8C22×D7311yescharacteristic
2005C4×Q8C22×D7311yescharacteristic
2006C4×Q8C22×D7312yes—
2007C4×Q8C22×D7311yescharacteristic
2008C4×Q8C22×D7311yescharacteristic
2009C4×Q8C22×D7312yes—
2010C4×Q8C22×D7312yes—
2011C4×Q8C22×D7312yes—
2012C4×D4—732no—
2013C4×D4—732no—
2014C4×D4—734no—
2015C4×D4—732no—
2016C4×D4—732no—
2017C4×D4—734no—
2018C4×D4—734no—
2019C4×D4—734no—
2020C4×D4—734no—
2021C4×D4—732no—
2022C4×D4—732no—
2023C4×D4—732no—
2024C4×D4—732no—
2025C4×D4—732no—
2026C4×D4—732no—
2027C4×D4—732no—
2028C4×D4—732no—
2029C4×D4—732no—
2030C4×D4—734no—
2031C4×D4—734no—
2032C4×D4—732no—
2033C4×D4—732no—
2034C4×D4—734no—
2035C4×D4—732no—
2036C4×D4—734no—
2037C4×D4—732no—
2038C4×D4—734no—
2039C4×D4—734no—
2040C4×D4—734no—
2041C4×D4—734no—
2042C4×D4—734no—
2043C4×D4—732no—
2044C4×D4—732no—
2045C4×D4—731no—
2046C4×D4—731no—
2047C4×D4—732no—
2048C4×D4—732no—
2049C4×D4—732no—
2050C4×D4—734no—
2051C4×D4—734no—
2052C4×D4—732no—
2053C4×D4—732no—
2054C4×D4—732no—
2055C4×D4—734no—
2056C4×D4—732no—
2057C4×D4—732no—
2058C4×D4—731no—
2059C4×D4—731no—
2060C4×D4—732no—
2061C4×D4—732no—
2062C4×D4—732no—
2063C4×D4—734no—
2064C4×D4—734no—
2065C4×D4—734no—
2066C4×D4—734no—
2067C4×D4—732no—
2068C4×D4—732no—
2069C4×D4—734no—
2070C4×D4—734no—
2071C4×D4—732no—
2072C4×D4—732no—
2073C4×D4—732no—
2074C4×D4—731no—
2075C4×D4—731no—
2076C4×D4—732no—
2077C4×D4—732no—
2078C4×D4C22×D7312yes—
2079C4×D4C22×D7312yes—
2080C4×D4C22×D7314yes—
2081C4×D4C22×D7314yes—
2082C4×D4C22×D7312yes—
2083C4×D4C22×D7312yes—
2084C4×D4C22×D7311yescharacteristic
2085C4×D4C22×D7311yescharacteristic
2086C4×D4C22×D7314yes—
2087C4×D4C22×D7314yes—
2088C4×D4C22×D7314yes—
2089C4×D4C22×D7312yes—
2090C4×D4C22×D7312yes—
2091C4×D4C22×D7312yes—
2092#117—731no—
2093#117—732no—
2094#117—732no—
2095#117—732no—
2096#117—734no—
2097#117—732no—
2098#117—732no—
2099#117—732no—
2100#117—732no—
2101#117—732no—
2102#117—732no—
2103#117—732no—
2104#117—732no—
2105#117—732no—
2106#117—734no—
2107#117—732no—
2108#117—732no—
2109#117—732no—
2110#117—732no—
2111#117C22×D7311yescharacteristic
2112#117C22×D7312yes—
2113#117C22×D7314yes—
2114#117C22×D7312yes—
2115#117C22×D7314yes—
2116C2×C4⋊C4—732no—
2117C2×C4⋊C4—732no—
2118C2×C4⋊C4—731no—
2119C2×C4⋊C4—732no—
2120C2×C4⋊C4—732no—
2121C2×C4⋊C4—734no—
2122C2×C4⋊C4—732no—
2123C2×C4⋊C4—732no—
2124C2×C4⋊C4—732no—
2125C2×C4⋊C4—734no—
2126C2×C4⋊C4C22×D7311yescharacteristic
2127C2×C4⋊C4C22×D7312yes—
2128C2×C22⋊C4—732no—
2129C2×C22⋊C4—732no—
2130C2×C22⋊C4—732no—
2131C2×C22⋊C4—732no—
2132C2×C22⋊C4—732no—
2133C2×C22⋊C4—734no—
2134C2×C22⋊C4—734no—
2135C2×C22⋊C4—734no—
2136C2×C22⋊C4—734no—
2137C2×C22⋊C4—734no—
2138C2×C22⋊C4—734no—
2139C2×C22⋊C4—734no—
2140C2×C22⋊C4—734no—
2141C2×C42—731no—
2142C2×C42—731no—
2143C2×C42—731no—
2144C2×C42—731no—
2145C2×C42—731no—
2146C2×C42—732no—
2147C2×C42—734no—
2148C2×C42—731no—
2149C2×C42—731no—
2150C2×C42—731no—
2151C2×C42—731no—
2152C2×C42—731no—
2153C2×C42—731no—
2154C2×C42C22×D7312yes—
2155C2×C42C22×D7311yescharacteristic
2156C2×C42C22×D7312yes—
2157C2×C42C22×D7314yes—
2158C24—734no—
2159C24—734no—
2160C24—734no—
2161C24—732no—
2162C24—731no—
2163#41—28no—
2164#41—24no—
2165#41—44no—
2166#41—2928no—
2167#41—2928no—
2168#41—2928no—
2169#41—2924no—
2170#41—2924no—
2171#41—2924no—
2172#41—2924no—
2173#41—2924no—
2174#41—2928no—
2175#41—2928no—
2176#41—2928no—
2177#41—2924no—
2178#41—2924no—
2179#41—2924no—
2180#41—2924no—
2181#41—1468no—
2182#41—1464no—
2183C2×Q8—42no—
2184C2×Q8—2924no—
2185C2×Q8—2924no—
2186C2×Q8—2924no—
2187C2×Q8—732no—
2188C2×Q8—732no—
2189C2×Q8—734no—
2190C2×Q8—734no—
2191C2×Q8—734no—
2192C2×Q8—731no—
2193C2×Q8—732no—
2194C2×Q8C23×D7311yescharacteristic
2195C2×Q8C23×D7311yescharacteristic
2196C2×Q8C23×D7311yescharacteristic
2197C2×Q8C23×D7312yes—
2198C2×Q8C23×D7312yes—
2199C2×D4—2922no—
2200C2×D4—2924no—
2201C2×D4—2924no—
2202C2×D4—2928no—
2203C2×D4—2928no—
2204C2×D4—2928no—
2205C2×D4—2928no—
2206C2×D4—2928no—
2207C2×D4—2924no—
2208C2×D4—2924no—
2209C2×D4—2924no—
2210C2×D4—2924no—
2211C2×D4—2924no—
2212C2×D4—2924no—
2213C2×D4—732no—
2214C2×D4—732no—
2215C2×D4—734no—
2216C2×D4—734no—
2217C2×D4—732no—
2218C2×D4—734no—
2219C2×D4—734no—
2220C2×D4—734no—
2221C2×D4—734no—
2222C2×D4—734no—
2223C2×D4—734no—
2224C2×D4—734no—
2225C2×D4—734no—
2226C2×D4—732no—
2227C2×D4—732no—
2228C2×D4—734no—
2229C2×D4—732no—
2230C2×D4—734no—
2231C2×D4—734no—
2232C2×D4—734no—
2233C2×D4—732no—
2234C2×D4—732no—
2235C2×D4—732no—
2236C2×D4—732no—
2237C2×D4—734no—
2238C2×D4—734no—
2239C2×D4—734no—
2240C2×D4—734no—
2241C2×D4—732no—
2242C2×D4—732no—
2243C2×D4—732no—
2244C2×D4—731no—
2245C2×D4—731no—
2246C2×D4—732no—
2247C2×D4—731no—
2248C2×D4—732no—
2249C2×D4C23×D7312yes—
2250C2×D4C23×D7312yes—
2251C2×D4C23×D7314yes—
2252C2×D4C23×D7311yescharacteristic
2253C2×D4C23×D7312yes—
2254C2×D4C23×D7312yes—
2255C2×D4C23×D7314yes—
2256C2×D4C23×D7314yes—
2257C22×C4—2922no—
2258C22×C4—2928no—
2259C22×C4—2928no—
2260C22×C4—2928no—
2261C22×C4—2922no—
2262C22×C4—731no—
2263C22×C4—731no—
2264C22×C4—734no—
2265C22×C4—734no—
2266C22×C4—734no—
2267C22×C4—731no—
2268C22×C4—731no—
2269C22×C4—731no—
2270C22×C4—731no—
2271C22×C4—732no—
2272C22×C4—734no—
2273C22×C4—734no—
2274C22×C4—734no—
2275C22×C4—734no—
2276C22×C4—734no—
2277C22×C4—734no—
2278C22×C4—734no—
2279C22×C4—734no—
2280C22×C4—731no—
2281C22×C4—732no—
2282C22×C4—731no—
2283C22×C4—731no—
2284C22×C4—731no—
2285C22×C4—731no—
2286C22×C4—731no—
2287C22×C4—731no—
2288C22×C4—732no—
2289C22×C4—732no—
2290C22×C4—732no—
2291C22×C4—731no—
2292C22×C4—731no—
2293C22×C4—732no—
2294C22×C4—734no—
2295C22×C4—732no—
2296C22×C4—732no—
2297C22×C4—1464no—
2298C22×C4—1468no—
2299C22×C4C23×D7311yescharacteristic
2300C22×C4C23×D7312yes—
2301C22×C4C23×D7312yes—
2302C22×C4C23×D7314yes—
2303C22×C4C23×D7311yescharacteristic
2304C22×C4C23×D7312yes—
2305C22×C4C23×D7312yes—
2306C22×C4C23×D7314yes—
2307C22×C4C23×D7312yes—
2308C22×C4C23×D7314yes—
2309C22×C4C23×D7311yescharacteristic
2310C4⋊C4—732no—
2311C4⋊C4—732no—
2312C4⋊C4—732no—
2313C4⋊C4—732no—
2314C4⋊C4—732no—
2315C4⋊C4—732no—
2316C4⋊C4—732no—
2317C4⋊C4—732no—
2318C4⋊C4—732no—
2319C4⋊C4—734no—
2320C4⋊C4—734no—
2321C4⋊C4—734no—
2322C4⋊C4—734no—
2323C4⋊C4—732no—
2324C4⋊C4—734no—
2325C4⋊C4—732no—
2326C4⋊C4—734no—
2327C4⋊C4—732no—
2328C4⋊C4—732no—
2329C4⋊C4—732no—
2330C4⋊C4—732no—
2331C4⋊C4—732no—
2332C4⋊C4—732no—
2333C4⋊C4—732no—
2334C4⋊C4—731no—
2335C4⋊C4—731no—
2336C4⋊C4—732no—
2337C4⋊C4—732no—
2338C4⋊C4—732no—
2339C4⋊C4—732no—
2340C4⋊C4—732no—
2341C4⋊C4—732no—
2342C4⋊C4—732no—
2343C4⋊C4—734no—
2344C4⋊C4—734no—
2345C4⋊C4—734no—
2346C4⋊C4—732no—
2347C4⋊C4—731no—
2348C4⋊C4—731no—
2349C4⋊C4—732no—
2350C4⋊C4—732no—
2351C4⋊C4—732no—
2352C4⋊C4—734no—
2353C4⋊C4C23×D7312yes—
2354C4⋊C4C23×D7312yes—
2355C4⋊C4C23×D7314yes—
2356C4⋊C4C23×D7311yescharacteristic
2357C4⋊C4C23×D7312yes—
2358C4⋊C4C23×D7311yescharacteristic
2359C4⋊C4C23×D7312yes—
2360C4⋊C4C23×D7312yes—
2361C4⋊C4C23×D7312yes—
2362C4⋊C4C23×D7312yes—
2363C4⋊C4C23×D7311yescharacteristic
2364C4⋊C4C23×D7311yescharacteristic
2365C4⋊C4C23×D7312yes—
2366C4⋊C4C23×D7314yes—
2367C4⋊C4C23×D7312yes—
2368C4⋊C4C23×D7314yes—
2369C4⋊C4C23×D7314yes—
2370C22⋊C4—732no—
2371C22⋊C4—734no—
2372C22⋊C4—734no—
2373C22⋊C4—734no—
2374C22⋊C4—734no—
2375C22⋊C4—732no—
2376C22⋊C4—732no—
2377C22⋊C4—732no—
2378C22⋊C4—732no—
2379C22⋊C4—732no—
2380C22⋊C4—732no—
2381C22⋊C4—732no—
2382C22⋊C4—732no—
2383C22⋊C4—732no—
2384C22⋊C4—732no—
2385C22⋊C4—732no—
2386C22⋊C4—732no—
2387C22⋊C4—732no—
2388C22⋊C4—734no—
2389C22⋊C4—732no—
2390C22⋊C4—732no—
2391C22⋊C4—732no—
2392C22⋊C4—732no—
2393C22⋊C4—732no—
2394C22⋊C4—732no—
2395C22⋊C4—732no—
2396C22⋊C4—732no—
2397C22⋊C4—732no—
2398C22⋊C4—732no—
2399C22⋊C4—734no—
2400C22⋊C4—734no—
2401C22⋊C4—734no—
2402C22⋊C4—734no—
2403C22⋊C4—732no—
2404C22⋊C4—732no—
2405C22⋊C4—734no—
2406C22⋊C4—734no—
2407C22⋊C4—734no—
2408C22⋊C4—734no—
2409C22⋊C4—734no—
2410C22⋊C4—734no—
2411C22⋊C4—734no—
2412C22⋊C4—732no—
2413C22⋊C4—732no—
2414C22⋊C4—732no—
2415C22⋊C4—732no—
2416C22⋊C4—734no—
2417C22⋊C4—734no—
2418C22⋊C4—732no—
2419C22⋊C4—732no—
2420C22⋊C4—734no—
2421C22⋊C4—732no—
2422C22⋊C4—734no—
2423C22⋊C4—732no—
2424C22⋊C4—732no—
2425C22⋊C4C23×D7314yes—
2426C22⋊C4C23×D7314yes—
2427C22⋊C4C23×D7314yes—
2428C22⋊C4C23×D7314yes—
2429C22⋊C4C23×D7312yes—
2430C22⋊C4C23×D7314yes—
2431C22⋊C4C23×D7314yes—
2432C22⋊C4C23×D7312yes—
2433C22⋊C4C23×D7314yes—
2434C22⋊C4C23×D7312yes—
2435C22⋊C4C23×D7314yes—
2436C42—731no—
2437C42—731no—
2438C42—731no—
2439C42—731no—
2440C42—731no—
2441C42—731no—
2442C42—731no—
2443C42—731no—
2444C42—731no—
2445C42—731no—
2446C42—732no—
2447C42—732no—
2448C42—734no—
2449C42—734no—
2450C42—731no—
2451C42—731no—
2452C42—732no—
2453C42C23×D7311yescharacteristic
2454C42C23×D7311yescharacteristic
2455C42C23×D7312yes—
2456C42C23×D7312yes—
2457C42C23×D7312yes—
2458C42C23×D7312yes—
2459C42C23×D7314yes—
2460C42C23×D7314yes—
2461C42C23×D7311yescharacteristic
2462C42C23×D7311yescharacteristic
2463C42C23×D7312yes—
2464C42C23×D7312yes—
2465C42C23×D7312yes—
2466C23—2921no—
2467C23—2924no—
2468C23—2924no—
2469C23—2924no—
2470C23—2922no—
2471C23—2922no—
2472C23—2924no—
2473C23—2924no—
2474C23—2924no—
2475C23—2924no—
2476C23—2924no—
2477C23—731no—
2478C23—732no—
2479C23—732no—
2480C23—734no—
2481C23—732no—
2482C23—731no—
2483C23—1462no—
2484C23—1468no—
2485C23—1462no—
2486C23—1464no—
2487C23C24×D7314yes—
2488C23C24×D7312yes—
2489C23C24×D7311yescharacteristic
2490Q8—24no—
2491Q8—22no—
2492Q8—22no—
2493Q8—22no—
2494Q8—42no—
2495Q8—2924no—
2496Q8—2924no—
2497Q8—2924no—
2498Q8—2922no—
2499Q8—2922no—
2500Q8—1464no—
2501Q8—1462no—
2502D4—28no—
2503D4—24no—
2504D4—24no—
2505D4—22no—
2506D4—24no—
2507D4—44no—
2508D4—42no—
2509D4—44no—
2510D4—2924no—
2511D4—2924no—
2512D4—2924no—
2513D4—2922no—
2514D4—2924no—
2515D4—2924no—
2516D4—2922no—
2517D4—2922no—
2518D4—2924no—
2519D4—2922no—
2520D4—2922no—
2521D4—2924no—
2522D4—2924no—
2523D4—2924no—
2524D4—2924no—
2525D4—2924no—
2526D4—2924no—
2527D4—2924no—
2528D4—2924no—
2529D4—2924no—
2530D4—2924no—
2531D4—2924no—
2532D4—2922no—
2533D4—2922no—
2534D4—2922no—
2535D4—1464no—
2536D4—1464no—
2537D4—1464no—
2538D4—1464no—
2539D4—1468no—
2540D4—1464no—
2541D4—1464no—
2542D4—1462no—
2543D4—1462no—
2544D4—1462no—
2545D4—1464no—
2546C2×C4—28no—
2547C2×C4—24no—
2548C2×C4—22no—
2549C2×C4—24no—
2550C2×C4—41no—
2551C2×C4—44no—
2552C2×C4—42no—
2553C2×C4—42no—
2554C2×C4—44no—
2555C2×C4—42no—
2556C2×C4—2924no—
2557C2×C4—2924no—
2558C2×C4—2924no—
2559C2×C4—2924no—
2560C2×C4—2924no—
2561C2×C4—2924no—
2562C2×C4—2921no—
2563C2×C4—2921no—
2564C2×C4—2921no—
2565C2×C4—2921no—
2566C2×C4—2924no—
2567C2×C4—2922no—
2568C2×C4—2924no—
2569C2×C4—2924no—
2570C2×C4—2924no—
2571C2×C4—2924no—
2572C2×C4—2921no—
2573C2×C4—2921no—
2574C2×C4—731no—
2575C2×C4—731no—
2576C2×C4—732no—
2577C2×C4—732no—
2578C2×C4—731no—
2579C2×C4—731no—
2580C2×C4—731no—
2581C2×C4—731no—
2582C2×C4—732no—
2583C2×C4—734no—
2584C2×C4—732no—
2585C2×C4—732no—
2586C2×C4—1462no—
2587C2×C4—1462no—
2588C2×C4—1462no—
2589C2×C4—1464no—
2590C2×C4—1462no—
2591C2×C4—1464no—
2592C2×C4—1464no—
2593C2×C4—1468no—
2594C2×C4—1464no—
2595C2×C4—1462no—
2596C2×C4—1464no—
2597C2×C4—1464no—
2598C2×C4—1462no—
2599C2×C4—1462no—
2600C2×C4—1462no—
2601C2×C4—1462no—
2602C2×C4—1464no—
2603C2×C4#1455663714yes—
2604C2×C4C24×D7311yescharacteristic
2605C2×C4C24×D7311yescharacteristic
2606C2×C4C24×D7312yes—
2607C2×C4C24×D7312yes—
2608C2×C4C24×D7311yescharacteristic
2609C2×C4C24×D7312yes—
2610C2×C4C24×D7312yes—
2611C2×C4C24×D7312yes—
2612C2×C4C24×D7312yes—
2613C2×C4C24×D7312yes—
2614C2×C4C24×D7314yes—
2615C2×C4C24×D7311yescharacteristic
2616C2×C4C24×D7311yescharacteristic
2617C2×C4C24×D7311yescharacteristic
2618C22—21no—
2619C22—21no—
2620C22—24no—
2621C22—22no—
2622C22—24no—
2623C22—22no—
2624C22—22no—
2625C22—24no—
2626C22—2924no—
2627C22—5844no—
2628C22—5848no—
2629C22—5848no—
2630C22—5848no—
2631C22—732no—
2632C22—1462no—
2633C22—1462no—
2634C22—1462no—
2635C22—1464no—
2636C22—1461no—
2637C22—1461no—
2638C22—1464no—
2639C22—1462no—
2640C22—1462no—
2641C22—1462no—
2642C22—1461no—
2643C22—1464no—
2644C22—1462no—
2645C22—1462no—
2646C22—1462no—
2647C22—1461no—
2648C22—1461no—
2649C22C2×#1455663712yes—
2650C22C25×D7311yescharacteristic
2651C4—22no—
2652C4—24no—
2653C4—21no—
2654C4—22no—
2655C4—22no—
2656C4—22no—
2657C4—21no—
2658C4—22no—
2659C4—21no—
2660C4—22no—
2661C4—22no—
2662C4—1461no—
2663C4—1462no—
2664C4—1462no—
2665C4—1462no—
2666C4—1464no—
2667C4—1461no—
2668C4—1462no—
2669C4—1461no—
2670C4—1461no—
2671C4—1461no—
2672C4—1462no—
2673C4—1461no—
2674C4C2×#1455663712yes—
2675C4C2×#1455663712yes—
2676C4#1798942312yes—
2677C2—22no—
2678C2—44no—
2679C2—42no—
2680C2—2921no—
2681C2—2922no—
2682C2—2922no—
2683C2—2922no—
2684C2—2924no—
2685C2—1462no—
2686C2C22×#1455663711yescharacteristic
2687C2#585×D7311yescharacteristic
2688C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3480C2
hypercenter#3480D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #22624526C2semidirect
2. #22624517C2semidirect
3. #22624500C2semidirect
4. #22624482C2semidirect
5. #22624463C2semidirect
6. #22624451C2semidirect
7. #22624448C2semidirect
8. #22624405C2semidirect
9. #22624390C2semidirect
10. #22624377C2semidirect
11. #22624361C2semidirect
12. #22624306C2semidirect
13. #22624291C2semidirect
14. #22624265C2semidirect
15. #22624255C2semidirect
16. #22624167C2semidirect
17. #22624147C2semidirect
18. #22624108C2semidirect
19. #22624070C2semidirect
20. #22623541C2semidirect
21. #22623537C2semidirect
22. #22623526C2semidirect
23. #41×D292C2semidirect
24. #41×D292C2semidirect
25. #22623417C2semidirect
26. #22623417C2semidirect
27. #22623352C2semidirect
28. #22623347C2semidirect
29. #22623341C2semidirect
30. #22623316C2semidirect
31. #22623258C2semidirect
32. #22623224C2semidirect
33. #532×D73C2semidirect
34. C2×#17989124C2semidirect
35. C73×#3480C2semidirect
36. C2×#41×D73C22semidirect
37. C2×#41×D73C22semidirect
38. C2×#41×D73C22semidirect
39. #17989341C22semidirect
40. #17989339C22semidirect
41. #17989339C22semidirect
42. #17989335C22semidirect
43. #17989334C22semidirect
44. #17989334C22semidirect
45. #17989333C22semidirect
46. #17989333C22semidirect
47. #17989331C22semidirect
48. #17989329C22semidirect
49. #17989328C22semidirect
50. #17989328C22semidirect
51. #17989327C22semidirect
52. #17989327C22semidirect
53. #17989325C22semidirect
54. #17989325C22semidirect
55. #17989322C22semidirect
56. #17989322C22semidirect
57. #17989322C22semidirect
58. #17989319C22semidirect
59. #17989316C22semidirect
60. #17989310C22semidirect
61. #17989310C22semidirect
62. #17989297C22semidirect
63. #17989295C22semidirect
64. #17989294C22semidirect
65. #17989293C22semidirect
66. #17989290C22semidirect
67. #17989289C22semidirect
68. #17989288C22semidirect
69. #17989285C22semidirect
70. #17989285C22semidirect
71. #17989283C22semidirect
72. #17989281C22semidirect
73. #17989281C22semidirect
74. #17989262C22semidirect
75. #17989261C22semidirect
76. #17989261C22semidirect
77. #17989260C22semidirect
78. #17989259C22semidirect
79. #17989259C22semidirect
80. #17989259C22semidirect
81. #17989257C22semidirect
82. #17989257C22semidirect
83. Q8×D292C22semidirect
84. Q8×D292C22semidirect
85. #17989252C22semidirect
86. #17989252C22semidirect
87. #17989249C22semidirect
88. #17989249C22semidirect
89. #17989249C22semidirect
90. #17989248C22semidirect
91. #17989245C22semidirect
92. #17989245C22semidirect
93. #17989245C22semidirect
94. #17989241C22semidirect
95. #17989241C22semidirect
96. #17989241C22semidirect
97. #17989241C22semidirect
98. #17989240C22semidirect
99. #17989240C22semidirect
100. #17989237C22semidirect
101. #17989237C22semidirect
102. #17989233C22semidirect
103. #17989232C22semidirect
104. #17989232C22semidirect
105. #17989232C22semidirect
106. #17989232C22semidirect
107. #17989232C22semidirect
108. #17989232C22semidirect
109. #17989230C22semidirect
110. #17989230C22semidirect
111. #17989230C22semidirect
112. #17989230C22semidirect
113. #17989229C22semidirect
114. #17989228C22semidirect
115. #17989226C22semidirect
116. #17989226C22semidirect
117. #17989226C22semidirect
118. #17989225C22semidirect
119. #17989225C22semidirect
120. D4×D292C22semidirect
121. D4×D292C22semidirect
122. D4×D292C22semidirect
123. D4×D292C22semidirect
124. D4×D292C22semidirect
125. #17989222C22semidirect
126. #17989222C22semidirect
127. #17989221C22semidirect
128. #17989221C22semidirect
129. #17989221C22semidirect
130. #17989217C22semidirect
131. #17989215C22semidirect
132. #17989212C22semidirect
133. #17989210C22semidirect
134. #17989209C22semidirect
135. #17989209C22semidirect
136. #17989209C22semidirect
137. #17989209C22semidirect
138. #17989208C22semidirect
139. #17989206C22semidirect
140. #17989203C22semidirect
141. #17989202C22semidirect
142. #17989202C22semidirect
143. #17989195C22semidirect
144. #17989195C22semidirect
145. #17989193C22semidirect
146. #17989192C22semidirect
147. #17989190C22semidirect
148. #17989189C22semidirect
149. #17989188C22semidirect
150. #17989188C22semidirect
151. #17989188C22semidirect
152. #17989188C22semidirect
153. #17989185C22semidirect
154. #17989185C22semidirect
155. #17989181C22semidirect
156. #17989181C22semidirect
157. #17989179C22semidirect
158. #17989179C22semidirect
159. #17989178C22semidirect
160. #17989178C22semidirect
161. #17989177C22semidirect
162. #17989176C22semidirect
163. #17989176C22semidirect
164. #17989176C22semidirect
165. #17989174C22semidirect
166. #17989173C22semidirect
167. #17989171C22semidirect
168. #17989171C22semidirect
169. #17989170C22semidirect
170. #17989170C22semidirect
171. #17989170C22semidirect
172. #17989170C22semidirect
173. #17989167C22semidirect
174. #17989165C22semidirect
175. #17989164C22semidirect
176. #17989164C22semidirect
177. #17989162C22semidirect
178. #17989162C22semidirect
179. #17989157C22semidirect
180. #17989157C22semidirect
181. #17989156C22semidirect
182. #17989155C22semidirect
183. #17989155C22semidirect
184. #17989155C22semidirect
185. #17989153C22semidirect
186. #17989151C22semidirect
187. #17989150C22semidirect
188. #17989150C22semidirect
189. #17989148C22semidirect
190. #17989148C22semidirect
191. #17989145C22semidirect
192. #17989145C22semidirect
193. #17989145C22semidirect
194. #17989141C22semidirect
195. #17989141C22semidirect
196. #17989140C22semidirect
197. #17989138C22semidirect
198. #17989137C22semidirect
199. #17989137C22semidirect
200. #17989137C22semidirect
201. #17989137C22semidirect
202. #17989136C22semidirect
203. #17989135C22semidirect
204. #17989134C22semidirect
205. #17989134C22semidirect
206. #17989134C22semidirect
207. #17989134C22semidirect
208. #17989134C22semidirect
209. #17989134C22semidirect
210. #17989133C22semidirect
211. #17989133C22semidirect
212. #17989132C22semidirect
213. #17989132C22semidirect
214. C4⋊Q8×D73C22semidirect
215. #127×D73C22semidirect
216. #17989124C22semidirect
217. #17989124C22semidirect
218. #17989124C22semidirect
219. #17989124C22semidirect
220. #17989124C22semidirect
221. #17989124C22semidirect
222. #17989124C22semidirect
223. #17989124C22semidirect
224. #17989124C22semidirect
225. #17989124C22semidirect
226. #17989124C22semidirect
227. #17989124C22semidirect
228. #17989124C22semidirect
229. #17989124C22semidirect
230. #17989124C22semidirect
231. #17989124C22semidirect
232. #17989121C22semidirect
233. #17989121C22semidirect
234. #17989119C22semidirect
235. #17989119C22semidirect
236. #17989117C22semidirect
237. #17989117C22semidirect
238. #17989115C22semidirect
239. #17989115C22semidirect
240. #17989115C22semidirect
241. #17989115C22semidirect
242. C2×#14556586C22semidirect
243. C2×#14556582C22semidirect
244. C2×#14556580C22semidirect
245. #124×D73C22semidirect
246. #17989099C22semidirect
247. #17989099C22semidirect
248. #17989099C22semidirect
249. #17989099C22semidirect
250. #17989099C22semidirect
251. #17989096C22semidirect
252. #17989096C22semidirect
253. #17989096C22semidirect
254. #17989096C22semidirect
255. #17989096C22semidirect
256. #17989096C22semidirect
257. #17989096C22semidirect
258. #17989096C22semidirect
259. #17989096C22semidirect
260. #17989094C22semidirect
261. #17989094C22semidirect
262. C2×#14556576C22semidirect
263. C2×#14556567C22semidirect
265. #121×D73C22semidirect
266. #121×D73C22semidirect
267. C4×#11924029C22semidirect
268. C4×#11924028C22semidirect
269. C4×#11924028C22semidirect
270. C4×#11924028C22semidirect
271. C4×#11924028C22semidirect
272. C2×C4×D292C22semidirect
273. C2×C4×D292C22semidirect
274. C2×C4×D292C22semidirect
275. C2×C4×D292C22semidirect
276. C4×D4×D73C22semidirect
277. C4×D4×D73C22semidirect
278. C4×D4×D73C22semidirect
279. C4×D4×D73C22semidirect
280. C2×#14556548C22semidirect
281. C2×C42×D73C22semidirect
282. #559×C73C22semidirect
283. #559×C73C22semidirect
284. #557×C73C22semidirect
285. #556×C73C22semidirect
286. #556×C73C22semidirect
287. #553×C73C22semidirect
288. #553×C73C22semidirect
289. #550×C73C22semidirect
290. #548×C73C22semidirect
291. #532×C73C22semidirect
292. #532×C73C22semidirect
293. #529×C73C22semidirect
294. #529×C73C22semidirect
295. C4×#41×C73C22semidirect
296. C4×#41×C73C22semidirect
297. C4×#41×C73C22semidirect
298. C2×C4×Q8×C73C22semidirect
1367. #3480D73semidirect
1380. C73#62748semidirect
1404. #559C2×D73semidirect
1405. #559C2×D73semidirect
1407. #557C2×D73semidirect
1410. #556C2×D73semidirect
1411. #556C2×D73semidirect
1424. #553C2×D73semidirect
1425. #553C2×D73semidirect
1435. #550C2×D73semidirect
1447. #548C2×D73semidirect
1568. #532C2×D73semidirect
1569. #532C2×D73semidirect
1598. #529C2×D73semidirect
1599. #529C2×D73semidirect
1630. C4×#41C2×D73semidirect
1631. C4×#41C2×D73semidirect
1632. C4×#41C2×D73semidirect
1633. C2×C4×Q8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245262
#226245172
#226245002
#226244822
#226244632
#226244512
#226244482
#226244052
#226243902
#226243772
#226243612
#226243062
#226242912
#226242652
#226242552
#226241672
#226241472
#226241082
#226240702
#226235412
#226235372
#226235262
#41×D2922
#226234172
#226233522
#226233472
#226233412
#226233162
#226232582
#226232242
#532×D732
C2×#179891242
C73×#34802
#6274873