Finite Group Databasebeta

← #33993650

Subgroups — #33993650

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#22624525C212yesmaximal, complemented
2#22624507C212yesmaximal, complemented
3#22624497C212yesmaximal, complemented
4#22624474C214yesmaximal, complemented
5#22624464C212yesmaximal, complemented
6#22624448C212yesmaximal, complemented
7#22624446C212yesmaximal, complemented
8#22624405C211yesmaximal, characteristic, complemented
9#22624403C211yesmaximal, characteristic, complemented
10#22624372C211yesmaximal, characteristic, complemented
11#22624306C211yesmaximal, characteristic, complemented
12#22624304C211yesmaximal, characteristic, complemented
13#22624261C211yesmaximal, characteristic, complemented
14#22624261C211yesmaximal, characteristic, complemented
15#22624167C212yesmaximal, complemented
16#22624159C212yesmaximal, complemented
17#22624119C214yesmaximal, complemented
18#22624072C214yesmaximal, complemented
19#22623542C212yesmaximal, complemented
20#22623538C212yesmaximal, complemented
21#22623531C211yesmaximal, characteristic, complemented
22#22623523C211yesmaximal, characteristic, complemented
23D4×#11924029C212yesmaximal, complemented
24D4×#11924029C211yesmaximal, characteristic, complemented
25#22623420C212yesmaximal, complemented
26#22623418C211yesmaximal, characteristic, complemented
27#22623354C212yesmaximal, complemented
28#22623351C212yesmaximal, complemented
29#22623339C214yesmaximal, complemented
30#22623322C212yesmaximal, complemented
31#22623263C212yesmaximal, complemented
32#22623225C211yesmaximal, characteristic, complemented
33C2×#17989138C211yesmaximal, characteristic, complemented
34#529×D73C211yesmaximal, characteristic, complemented
35C73×#3552C211yesmaximal, characteristic, complemented
36C22×#11924029C2212yescomplemented
37C22×#11924029C2212yescomplemented
38C2×#41×D73C2212yescomplemented
39#17989336C2214yescomplemented
40#17989336C2214yescomplemented
41#17989335C2214yescomplemented
42#17989335C2214yescomplemented
43#17989333C2214yescomplemented
44#17989333C2214yescomplemented
45#17989333C2214yescomplemented
46#17989333C2214yescomplemented
47#17989329C2214yescomplemented
48#17989328C2214yescomplemented
49#17989328C2214yescomplemented
50#17989328C2214yescomplemented
51#17989328C2214yescomplemented
52#17989327C2214yescomplemented
53#17989327C2214yescomplemented
54#17989322C2211yescharacteristic, complemented
55#17989322C2211yescharacteristic, complemented
56#17989322C2212yescomplemented
57#17989322C2212yescomplemented
58#17989320C2212yescomplemented
59#17989319C2212yescomplemented
60#17989312C2211yescharacteristic, complemented
61#17989311C2211yescharacteristic, complemented
62#17989311C2212yescomplemented
63#17989309C2212yescomplemented
64#17989298C2212yescomplemented
65#17989293C2212yescomplemented
66#17989292C2212yescomplemented
67#17989290C2214yescomplemented
68#17989290C2214yescomplemented
69#17989290C2212yescomplemented
70#17989288C2214yescomplemented
71#17989285C2212yescomplemented
72#17989285C2212yescomplemented
73#17989282C2214yescomplemented
74#17989281C2212yescomplemented
75#17989281C2212yescomplemented
76#17989266C2214yescomplemented
77#17989264C2214yescomplemented
78#17989264C2214yescomplemented
79#17989262C2214yescomplemented
80#17989259C2211yescharacteristic, complemented
81#17989259C2211yescharacteristic, complemented
82#17989259C2212yescomplemented
83#17989258C2211yescharacteristic, complemented
84#17989258C2211yescharacteristic, complemented
85#17989256C2212yescomplemented
86#17989252C2211yescharacteristic, complemented
87Q8×C22⋊D73C2212yescomplemented
88#17989249C2212yescomplemented
89#17989249C2212yescomplemented
90#17989248C2212yescomplemented
91#17989248C2212yescomplemented
92#17989248C2212yescomplemented
93#17989247C2212yescomplemented
94#17989247C2212yescomplemented
95#17989240C2211yescharacteristic, complemented
96#17989240C2212yescomplemented
97#17989240C2212yescomplemented
98#17989240C2214yescomplemented
99#17989239C2212yescomplemented
100#17989239C2214yescomplemented
101#17989238C2212yescomplemented
102#17989234C2212yescomplemented
103#17989233C2212yescomplemented
104#17989233C2212yescomplemented
105#17989233C2214yescomplemented
106#17989232C2214yescomplemented
107#17989230C2212yescomplemented
108#17989230C2214yescomplemented
109#17989229C2214yescomplemented
110#17989228C2212yescomplemented
111#17989228C2212yescomplemented
112#17989228C2212yescomplemented
113#17989228C2212yescomplemented
114#17989228C2212yescomplemented
115#17989228C2214yescomplemented
116#17989228C2214yescomplemented
117#17989228C2214yescomplemented
118#17989226C2214yescomplemented
119#17989225C2212yescomplemented
120D4×D292C2211yescharacteristic, complemented
121D4×D292C2211yescharacteristic, complemented
122D4×D292C2212yescomplemented
123D4×D292C2212yescomplemented
124D4×D292C2214yescomplemented
125D4×D292C2212yescomplemented
126#17989221C2212yescomplemented
127#17989221C2212yescomplemented
128#17989221C2214yescomplemented
129#17989221C2212yescomplemented
130#17989214C2212yescomplemented
131#17989212C2214yescomplemented
132#17989211C2212yescomplemented
133#17989211C2212yescomplemented
134#17989211C2214yescomplemented
135#17989210C2212yescomplemented
136#17989210C2212yescomplemented
137#17989209C2212yescomplemented
138#17989209C2212yescomplemented
139#17989209C2212yescomplemented
140#17989207C2214yescomplemented
141#17989198C2212yescomplemented
142#17989193C2212yescomplemented
143#17989193C2212yescomplemented
144#17989193C2214yescomplemented
145#17989193C2212yescomplemented
146#17989192C2212yescomplemented
147#17989192C2212yescomplemented
148#17989189C2214yescomplemented
149#17989188C2212yescomplemented
150#17989185C2214yescomplemented
151#17989185C2214yescomplemented
152#17989185C2214yescomplemented
153#17989185C2214yescomplemented
154#17989184C2214yescomplemented
155#17989183C2214yescomplemented
156#17989183C2214yescomplemented
157#17989177C2214yescomplemented
158#17989177C2214yescomplemented
159#17989176C2214yescomplemented
160#17989176C2214yescomplemented
161#17989176C2214yescomplemented
162#17989176C2214yescomplemented
163#17989176C2214yescomplemented
164#17989173C2214yescomplemented
165#17989173C2214yescomplemented
166#17989171C2214yescomplemented
167#17989170C2214yescomplemented
168#17989170C2214yescomplemented
169#17989168C2212yescomplemented
170#17989167C2214yescomplemented
171#17989167C2214yescomplemented
172#17989167C2212yescomplemented
173#17989162C2212yescomplemented
174#17989162C2212yescomplemented
175#17989161C2212yescomplemented
176#17989156C2212yescomplemented
177#17989156C2212yescomplemented
178#17989156C2212yescomplemented
179#17989155C2212yescomplemented
180#17989155C2212yescomplemented
181#17989155C2212yescomplemented
182#17989153C2212yescomplemented
183#17989151C2212yescomplemented
184#17989148C2214yescomplemented
185#17989148C2214yescomplemented
186#17989148C2214yescomplemented
187#17989148C2214yescomplemented
188#17989145C2214yescomplemented
189#17989143C2211yescharacteristic, complemented
190#17989141C2211yescharacteristic, complemented
191#17989139C2211yescharacteristic, complemented
192#17989138C2212yescomplemented
193#17989138C2212yescomplemented
194#17989138C2212yescomplemented
195#17989138C2211yescharacteristic, complemented
196#17989138C2211yescharacteristic, complemented
197#17989138C2211yescharacteristic, complemented
198#17989138C2211yescharacteristic, complemented
199#17989138C2212yescomplemented
200#17989138C2212yescomplemented
201#17989138C2214yescomplemented
202#17989138C2212yescomplemented
203#17989138C2212yescomplemented
204#17989138C2212yescomplemented
205#17989136C2211yescharacteristic, complemented
206#17989136C2212yescomplemented
207#17989136C2214yescomplemented
208#17989134C2211yescharacteristic, complemented
209#17989132C2212yescomplemented
210#17989132C2211yescharacteristic, complemented
211C2×#14556588C2211yescharacteristic, complemented
212#17989124C2211yescharacteristic, complemented
213#17989123C2212yescomplemented
214#17989123C2211yescharacteristic, complemented
215#17989122C2211yescharacteristic, complemented
216#17989122C2212yescomplemented
217#17989122C2214yescomplemented
218#17989122C2214yescomplemented
219#17989122C2214yescomplemented
220#17989122C2211yescharacteristic, complemented
221#17989121C2211yescharacteristic, complemented
222#17989121C2211yescharacteristic, complemented
223#17989120C2214yescomplemented
224#17989120C2214yescomplemented
225#17989120C2212yescomplemented
226#17989120C2212yescomplemented
227#17989120C2214yescomplemented
228#17989120C2212yescomplemented
229#17989119C2211yescharacteristic, complemented
230#17989118C2211yescharacteristic, complemented
231#17989117C2212yescomplemented
232#17989116C2211yescharacteristic, complemented
233#17989116C2211yescharacteristic, complemented
234#17989115C2212yescomplemented
235#17989115C2212yescomplemented
236#17989114C2212yescomplemented
237#17989114C2212yescomplemented
238#126×D73C2212yescomplemented
239#125×D73C2211yescharacteristic, complemented
240C2×#14556580C2212yescomplemented
241#124×D73C2211yescharacteristic, complemented
242#17989100C2214yescomplemented
243#17989100C2214yescomplemented
244#17989100C2214yescomplemented
245#17989100C2214yescomplemented
246#17989100C2214yescomplemented
247#17989100C2214yescomplemented
248#17989100C2212yescomplemented
249#17989100C2212yescomplemented
250#17989100C2211yescharacteristic, complemented
251#17989097C2214yescomplemented
252#17989097C2211yescharacteristic, complemented
253#17989096C2212yescomplemented
254#17989095C2214yescomplemented
255#17989095C2214yescomplemented
256#17989095C2214yescomplemented
257#17989095C2212yescomplemented
258#123×D73C2212yescomplemented
259C22⋊Q8×D73C2211yescharacteristic, complemented
260C2×#14556566C2212yescomplemented
261C2×#14556566C2212yescomplemented
262#121×D73C2211yescharacteristic
263C4×#11924029C2212yescomplemented
264C4×#11924029C2212yescomplemented
265C4×#11924029C2212yescomplemented
266C4×#11924029C2211yescharacteristic, complemented
267#17989055C2212yescomplemented
268#17989055C2212yescomplemented
269C4×#11924027C2211yescharacteristic, complemented
270C4×#11924027C2212yescomplemented
271C4×Q8×D73C2211yescharacteristic, complemented
272C2×#14556553C2212yescomplemented
273C2×#14556553C2212yescomplemented
274C2×#14556553C2212yescomplemented
275C4×D4×D73C2214yescomplemented
276C4×D4×D73C2212yescomplemented
277C4×D4×D73C2214yescomplemented
278C4×D4×D73C2211yescharacteristic, complemented
279C4×D4×D73C2212yescomplemented
280#117×D73C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#563×C73C2214yescomplemented
283#557×C73C2211yescharacteristic, complemented
284#556×C73C2211yescharacteristic, complemented
285#554×C73C2212yescomplemented
286#553×C73C2212yescomplemented
287D4×Q8×C73C2211yescharacteristic, complemented
288D4×Q8×C73C2212yescomplemented
289#548×C73C2212yescomplemented
290#547×C73C2211yescharacteristic, complemented
291#544×C73C2212yescomplemented
292#542×C73C2212yescomplemented
293#541×C73C2212yescomplemented
294#539×C73C2214yescomplemented
295#536×C73C2212yescomplemented
296C2×C4⋊Q8×C73C2211yescharacteristic, complemented
297#529×C73C2211yescharacteristic, complemented
298#529×C73C2211yescharacteristic, complemented
299C2×#11924029—48no—
300C2×#11924029—48no—
301C2×#11924029C2311yescharacteristic
302C2×#11924029C2312yes—
303C2×#11924029C2312yes—
304C2×#11924029C2314yes—
305C2×#11924029C2314yes—
306C2×#11924029C2312yes—
307C2×#11924029C2312yes—
308C2×#11924029C2314yes—
309C2×#11924029C2312yes—
310C2×#11924029C2312yes—
311C2×#11924029C2312yes—
312C2×#11924029C2314yes—
313C2×#11924028C2312yes—
314C2×#11924028C2312yes—
315C2×#11924028C2312yes—
316C2×#11924028C2314yes—
317C2×#11924027C2311yescharacteristic
318C2×#11924027C2314yes—
319C2×#11924027C2312yes—
320#41×D73—48no—
321C2×Q8×D73C2312yes—
322C2×Q8×D73C2311yescharacteristic
323C22×D292C2312yes—
324C22×D292C2312yes—
325C22×D292C2312yes—
326C22×D292C2314yes—
327C22×D292C2312yes—
328C22×D292C2312yes—
329C22×D292C2314yes—
330C2×D4×D73C2314yes—
331C2×D4×D73C2314yes—
332C2×D4×D73C2314yes—
333C2×D4×D73C2312yes—
334C2×D4×D73C2312yes—
335C2×D4×D73C2312yes—
336C2×D4×D73C2311yescharacteristic
337C22×C4×D73C2312yes—
338C22×C4×D73C2311yescharacteristic
339C22×C4×D73C2314yes—
340C22×C4×D73C2314yes—
341C22×C4×D73C2314yes—
342C22×C4×D73C2311yescharacteristic
343C22×C4×D73C2311yescharacteristic
344#14556590C2311yescharacteristic
345#14556590C2312yes—
346#14556590C2311yescharacteristic
347#14556589C2311yescharacteristic
348#14556589C2312yes—
349#14556589C2314yes—
350#14556588C2312yes—
351#14556588C2312yes—
352#14556588C2311yescharacteristic
353#14556588C2311yescharacteristic
354#14556588C2312yes—
355#14556588C2312yes—
356#14556588C2312yes—
357#14556588C2314yes—
358#14556587C2311yescharacteristic
359#14556587C2312yes—
360#14556587C2312yes—
361#14556587C2314yes—
362#14556586C2314yes—
363#14556586C2314yes—
364#14556586C2314yes—
365#14556586C2314yes—
366#14556586C2312yes—
367#14556586C2314yes—
368#14556586C2312yes—
369#14556586C2314yes—
370#14556586C2314yes—
371#14556586C2314yes—
372#14556586C2312yes—
373#14556586C2312yes—
374#14556585C2312yes—
375#14556585C2312yes—
376#14556585C2314yes—
377#14556585C2314yes—
378#14556585C2314yes—
379#14556584C2312yes—
380#14556584C2312yes—
381#14556584C2312yes—
382#14556584C2312yes—
383#14556583C2311yescharacteristic
384#14556583C2311yescharacteristic
385#14556582C2312yes—
386#14556582C2311yescharacteristic
387#14556582C2311yescharacteristic
388#14556581C2312yes—
389#14556581C2312yes—
390#14556581C2314yes—
391#14556581C2314yes—
392#14556581C2314yes—
393#14556581C2312yes—
394#14556581C2312yes—
395#14556580C2311yescharacteristic
396#14556580C2312yes—
397#14556580C2312yes—
398#14556580C2312yes—
399#14556580C2314yes—
400#14556580C2312yes—
401#14556580C2312yes—
402#14556580C2314yes—
403#14556580C2312yes—
404#14556580C2312yes—
405#14556580C2314yes—
406#14556580C2314yes—
407#14556580C2314yes—
408#14556579C2311yescharacteristic
409#14556579C2311yescharacteristic
410#14556579C2314yes—
411#14556579C2312yes—
412#14556579C2314yes—
413#14556579C2314yes—
414#14556579C2312yes—
415#14556579C2314yes—
416#14556578C2311yescharacteristic
417#14556577C2312yes—
418#14556577C2312yes—
419#14556577C2314yes—
420#14556577C2314yes—
421#14556577C2314yes—
422#14556577C2312yes—
423#14556577C2314yes—
424#14556577C2312yes—
425#14556576C2312yes—
426#14556576C2312yes—
427#14556576C2314yes—
428#14556576C2314yes—
429#14556576C2314yes—
430#14556576C2312yes—
431#14556576C2314yes—
432#14556576C2314yes—
433#14556576C2314yes—
434#14556576C2314yes—
435#14556576C2314yes—
436#14556576C2312yes—
437#14556576C2314yes—
438#14556576C2314yes—
439#14556576C2314yes—
440#14556576C2314yes—
441#14556576C2314yes—
442#14556576C2314yes—
443#14556576C2314yes—
444#14556576C2314yes—
445#14556576C2314yes—
446#14556576C2314yes—
447#14556576C2314yes—
448#14556576C2314yes—
449#14556576C2314yes—
450#14556576C2314yes—
451#14556576C2314yes—
452#14556576C2314yes—
453#14556575C2314yes—
454#14556575C2312yes—
455#14556574C2312yes—
456#14556574C2312yes—
457#14556574C2314yes—
458#14556574C2314yes—
459#14556574C2314yes—
460#14556573C2314yes—
461#14556573C2314yes—
462#14556573C2314yes—
463#14556573C2312yes—
464#14556573C2312yes—
465#14556573C2312yes—
466#14556573C2312yes—
467#14556573C2314yes—
468#14556573C2314yes—
469#14556572C2312yes—
470#14556571C2311yescharacteristic
471#14556571C2311yescharacteristic
472#14556571C2314yes—
473#14556571C2312yes—
474#14556571C2314yes—
475#14556571C2314yes—
476#14556571C2314yes—
477#14556570C2311yescharacteristic
478#14556570C2311yescharacteristic
479#14556570C2314yes—
480#14556569C2312yes—
481#14556569C2312yes—
482#14556569C2314yes—
483#14556569C2314yes—
484#14556569C2314yes—
485#14556569C2312yes—
486#14556569C2312yes—
487#14556569C2314yes—
488#14556569C2314yes—
489#14556569C2314yes—
490#14556569C2314yes—
491#14556569C2314yes—
492#14556569C2314yes—
493#14556568C2312yes—
494#14556568C2312yes—
495#14556567C2311yescharacteristic
496#14556567C2311yescharacteristic
497#14556567C2314yes—
498#14556567C2314yes—
499#14556567C2314yes—
500#14556567C2314yes—
501#14556567C2314yes—
502#14556567C2312yes—
503#14556567C2312yes—
504#14556567C2314yes—
505#14556566C2311yescharacteristic
506#14556566C2311yescharacteristic
507#14556566C2314yes—
508#14556566C2314yes—
509#14556566C2312yes—
510#14556566C2314yes—
511#14556566C2314yes—
512#14556566C2314yes—
513#14556566C2312yes—
514#14556566C2312yes—
515#14556566C2314yes—
516#14556566C2312yes—
517#14556566C2312yes—
518#14556566C2312yes—
519#14556566C2312yes—
520#14556566C2312yes—
521#14556566C2314yes—
522#14556566C2312yes—
523#14556566C2314yes—
524#14556566C2314yes—
525#14556566C2312yes—
526#14556566C2314yes—
527#14556566C2312yes—
528#14556566C2314yes—
529#14556566C2314yes—
530#14556566C2314yes—
531#14556566C2314yes—
532#14556566C2314yes—
533#14556566C2314yes—
534#14556566C2314yes—
535#14556566C2314yes—
536#14556566C2314yes—
537#14556566C2314yes—
538#14556566C2312yes—
539#14556566C2312yes—
540#14556565C2311yescharacteristic
541#14556565C2311yescharacteristic
542#14556565C2312yes—
543#14556565C2312yes—
544#14556565C2314yes—
545#14556565C2314yes—
546#14556565C2314yes—
547#14556565C2314yes—
548#14556565C2314yes—
549#14556565C2314yes—
550#14556565C2312yes—
551#14556565C2312yes—
552#14556564C2312yes—
553#14556564C2312yes—
554#14556564C2314yes—
555#14556564C2314yes—
556#14556564C2314yes—
557#14556564C2312yes—
558#14556564C2312yes—
559#14556564C2314yes—
560#14556564C2314yes—
561#14556564C2314yes—
562#14556564C2314yes—
563#14556564C2314yes—
564#14556564C2314yes—
565#14556564C2314yes—
566#14556564C2314yes—
567#14556564C2314yes—
568#14556564C2314yes—
569#14556564C2314yes—
570#14556564C2314yes—
571#14556563C2312yes—
572#14556563C2314yes—
573#14556563C2312yes—
574#14556562C2311yescharacteristic
575#14556562C2311yescharacteristic
576#14556562C2314yes—
577#14556561C2314yes—
578#14556561C2314yes—
579#14556561C2314yes—
580#14556561C2314yes—
581#14556561C2314yes—
582#14556561C2314yes—
583#14556561C2314yes—
584#14556561C2314yes—
585#14556561C2314yes—
586#14556561C2314yes—
587#14556561C2314yes—
588#14556561C2314yes—
589#14556561C2314yes—
590#14556561C2314yes—
591#14556561C2314yes—
592#14556561C2314yes—
593#14556561C2314yes—
594#14556561C2312yes—
595#14556559C2314yes—
596#14556559C2314yes—
597#14556559C2314yes—
598#14556559C2314yes—
599#14556559C2314yes—
600#14556559C2312yes—
601Q8×Dic73C2311yescharacteristic
602Q8×Dic73C2311yescharacteristic
603Q8×Dic73C2312yes—
604Q8×Dic73C2312yes—
605C4×Dic146C2311yescharacteristic
606C4×Dic146C2311yescharacteristic
607C4×Dic146C2312yes—
608C4×Dic146C2312yes—
609#14556556C2312yes—
610#14556556C2312yes—
611#14556556C2312yes—
612#14556556C2312yes—
613#14556556C2311yescharacteristic
614#14556556C2311yescharacteristic
615#14556556C2312yes—
616C4×D292C2311yescharacteristic
617C4×D292C2311yescharacteristic
618C4×D292C2312yes—
619C4×D292C2314yes—
620C4×D292C2314yes—
621C4×D292C2314yes—
622C4×D292C2314yes—
623C4×D292C2314yes—
624C4×D292C2312yes—
625C4×D292C2312yes—
626C4×D292C2312yes—
627C4×D292C2312yes—
628C4×D292C2312yes—
629D4×Dic73C2311yescharacteristic
630D4×Dic73C2311yescharacteristic
631D4×Dic73C2312yes—
632D4×Dic73C2312yes—
633#14556553C2312yes—
634#14556553C2312yes—
635#14556553C2314yes—
636#14556553C2314yes—
637#14556553C2312yes—
638#14556553C2312yes—
639#14556553C2314yes—
640#14556553C2312yes—
641#14556553C2314yes—
642#14556553C2314yes—
643#14556553C2311yescharacteristic
644#14556553C2312yes—
645#14556553C2311yescharacteristic
646#14556553C2314yes—
647#14556553C2312yes—
648#14556553C2312yes—
649#14556553C2312yes—
650#14556553C2314yes—
651#14556553C2312yes—
652#14556553C2312yes—
653#14556553C2312yes—
654#14556553C2314yes—
655#14556553C2314yes—
656#14556553C2314yes—
657#14556553C2312yes—
658#14556553C2312yes—
659#14556553C2312yes—
660#14556553C2312yes—
661#14556553C2312yes—
662#14556553C2314yes—
663C4×C22⋊D73C2312yes—
664C4×C22⋊D73C2312yes—
665C4×C22⋊D73C2312yes—
666C4×C22⋊D73C2314yes—
667C4×C22⋊D73C2314yes—
668C4×C22⋊D73C2314yes—
669C4×C22⋊D73C2314yes—
670C4×C22⋊D73C2314yes—
671C4×C22⋊D73C2312yes—
672C4×C22⋊D73C2312yes—
673C4×C22⋊D73C2312yes—
674#14556551C2314yes—
675#14556551C2314yes—
676#14556551C2314yes—
677#14556551C2312yes—
678#14556551C2312yes—
679#14556551C2312yes—
680#14556551C2312yes—
681#14556551C2314yes—
682#14556551C2312yes—
683#14556551C2312yes—
684#14556551C2312yes—
685#14556551C2312yes—
686#14556551C2312yes—
687#14556551C2314yes—
688#14556551C2312yes—
689#14556550C2312yes—
690#14556549C2314yes—
691#14556549C2314yes—
692#14556549C2312yes—
693#14556549C2312yes—
694#14556549C2312yes—
695#14556549C2312yes—
696#14556549C2311yescharacteristic
697#14556549C2311yescharacteristic
698#14556549C2312yes—
699#14556549C2314yes—
700#14556548C2312yes—
701#14556548C2312yes—
702#14556548C2312yes—
703#14556548C2312yes—
704#14556548C2314yes—
705#14556547C2312yes—
706#14556547C2312yes—
707#14556547C2312yes—
708#14556547C2312yes—
709#14556547C2312yes—
710C4⋊C4×D73C2312yes—
711C4⋊C4×D73C2312yes—
712C4⋊C4×D73C2312yes—
713C4⋊C4×D73C2314yes—
714C4⋊C4×D73C2314yes—
715C4⋊C4×D73C2311yescharacteristic
716C4⋊C4×D73C2312yes—
717C4⋊C4×D73C2311yescharacteristic
718C4⋊C4×D73C2312yes—
719C2×#11924005C2314yes—
720C2×#11924005C2314yes—
721C2×#11924005C2314yes—
722C22⋊C4×D73C2312yes—
723C22⋊C4×D73C2312yes—
724C22⋊C4×D73C2314yes—
725C22⋊C4×D73C2314yes—
726C22⋊C4×D73C2314yes—
727C22⋊C4×D73C2314yes—
728C22⋊C4×D73C2314yes—
729C22⋊C4×D73C2312yes—
730C22⋊C4×D73C2312yes—
731C22⋊C4×D73C2312yes—
732C2×C4×Dic73C2312yes—
733C2×C4×Dic73C2311yescharacteristic
734C2×C4×Dic73C2311yescharacteristic
735C2×C4×Dic73C2311yescharacteristic
736C42×D73C2311yescharacteristic
737C42×D73C2314yes—
738C42×D73C2311yescharacteristic
739C42×D73C2314yes—
740C42×D73C2311yescharacteristic
741C42×D73C2311yescharacteristic
742C42×D73C2312yes—
743C42×D73C2311yescharacteristic
744C42×D73C2311yescharacteristic
745C42×D73C2312yes—
746C42×D73C2311yescharacteristic
747C42×D73C2311yescharacteristic
748C2×#41×C73C2312yes—
749C22×Q8×C73C2312yes—
750C22×Q8×C73C2312yes—
751C4⋊Q8×C73C2312yes—
752C4⋊Q8×C73C2312yes—
753C4⋊Q8×C73C2311yescharacteristic
754C4⋊Q8×C73C2311yescharacteristic
755C4⋊Q8×C73C2312yes—
756C4⋊Q8×C73C2312yes—
757C4⋊Q8×C73C2312yes—
758C4⋊Q8×C73C2314yes—
759#126×C73C2312yes—
760#126×C73C2314yes—
761#126×C73C2314yes—
762#126×C73C2314yes—
763#126×C73C2312yes—
764#125×C73C2311yescharacteristic
765#125×C73C2314yes—
766#125×C73C2314yes—
767#125×C73C2314yes—
768#125×C73C2311yescharacteristic
769#125×C73C2312yes—
770#124×C73C2311yescharacteristic
771#124×C73C2312yes—
772#124×C73C2314yes—
773#124×C73C2311yescharacteristic
774#123×C73C2312yes—
775#123×C73C2312yes—
776#123×C73C2314yes—
777#123×C73C2314yes—
778#123×C73C2314yes—
779C22⋊Q8×C73C2312yes—
780C22⋊Q8×C73C2311yescharacteristic
781C22⋊Q8×C73C2311yescharacteristic
782C22⋊Q8×C73C2314yes—
783C22⋊Q8×C73C2314yes—
784C22⋊Q8×C73C2314yes—
785C22⋊Q8×C73C2314yes—
786C22⋊Q8×C73C2314yes—
787C22⋊Q8×C73C2312yes—
788C22⋊Q8×C73C2312yes—
789C22⋊Q8×C73C2314yes—
790#121×C73C2312yes—
791#121×C73C2311yescharacteristic
792#121×C73C2314yes—
793#121×C73C2311yescharacteristic
794C4×Q8×C73C2311yescharacteristic
795C4×Q8×C73C2311yescharacteristic
796C4×Q8×C73C2312yes—
797C4×Q8×C73C2312yes—
798C4×Q8×C73C2312yes—
799C4×D4×C73C2311yescharacteristic
800C4×D4×C73C2314yes—
801C4×D4×C73C2314yes—
802C4×D4×C73C2312yes—
803C4×D4×C73C2312yes—
804C4×D4×C73C2312yes—
805C4×D4×C73C2311yescharacteristic
806#117×C73C2312yes—
807#117×C73C2312yes—
808#117×C73C2312yes—
809C2×C4⋊C4×C73C2312yes—
810C2×C4⋊C4×C73C2312yes—
811C2×C4⋊C4×C73C2312yes—
812C2×C42×C73C2311yescharacteristic
813C23×D73C2411yescharacteristic
814C23×D73C2412yes—
815C23×D73C2414yes—
816C23×D73C2414yes—
817C23×D73C2414yes—
818#11924029—28no—
819#11924029—24no—
820#11924029—28no—
821#11924029—48no—
822#11924029—48no—
823#11924029—48no—
824#11924029—48no—
825#11924029—44no—
826#11924029—44no—
827#11924029—44no—
828#11924029—44no—
829#11924029—44no—
830#11924028—44no—
831#11924028—44no—
832#11924028—44no—
833#11924028—48no—
834#11924027—24no—
835#11924027—48no—
836#11924027—44no—
837C2×Dic146C2411yescharacteristic
838C2×Dic146C2411yescharacteristic
839C2×Dic146C2412yes—
840C2×Dic146C2412yes—
841C2×Dic146C2412yes—
842C2×Dic146C2414yes—
843Q8×D73—42no—
844Q8×D73—44no—
845C2×D292—44no—
846C2×D292—44no—
847C2×D292—44no—
848C2×D292—44no—
849C2×D292—48no—
850C2×D292—48no—
851C2×D292—44no—
852C2×D292C2411yescharacteristic
853C2×D292C2412yes—
854C2×D292C2412yes—
855C2×D292C2412yes—
856C2×D292C2414yes—
857C2×D292C2414yes—
858C2×D292C2411yescharacteristic
859C2×D292C2412yes—
860C2×D292C2412yes—
861C2×D292C2414yes—
862C2×D292C2412yes—
863C2×D292C2412yes—
864C2×D292C2414yes—
865C2×D292C2414yes—
866C2×D292C2412yes—
867C2×D292C2414yes—
868C2×D292C2414yes—
869C2×D292C2412yes—
870C2×D292C2414yes—
871C2×D292C2414yes—
872C2×D292C2414yes—
873C2×D292C2414yes—
874C2×D292C2414yes—
875C2×D292C2414yes—
876C2×D292C2414yes—
877C2×C22⋊D73C2412yes—
878C2×C22⋊D73C2412yes—
879C2×C22⋊D73C2412yes—
880C2×C22⋊D73C2414yes—
881C2×C22⋊D73C2412yes—
882C2×C22⋊D73C2412yes—
883C2×C22⋊D73C2412yes—
884C2×C22⋊D73C2412yes—
885C2×C22⋊D73C2414yes—
886C2×C22⋊D73C2414yes—
887C2×C22⋊D73C2414yes—
888C2×C22⋊D73C2412yes—
889C2×C22⋊D73C2414yes—
890C2×C22⋊D73C2414yes—
891D4×D73—42no—
892D4×D73—44no—
893D4×D73—44no—
894D4×D73—48no—
895D4×D73—44no—
896D4×D73—48no—
897D4×D73—48no—
898C22×Dic73C2411yescharacteristic
899C22×Dic73C2411yescharacteristic
900C22×Dic73C2412yes—
901C22×Dic73C2412yes—
902C22×Dic73C2411yescharacteristic
903C22×Dic73C2412yes—
904C2×C4×D73—28no—
905C2×C4×D73—24no—
906C2×C4×D73—48no—
907C2×C4×D73—48no—
908C2×C4×D73—48no—
909C2×C4×D73—42no—
910C2×C4×D73—42no—
911C2×C4×D73C2411yescharacteristic
912C2×C4×D73C2411yescharacteristic
913C2×C4×D73C2411yescharacteristic
914C2×C4×D73C2411yescharacteristic
915C2×C4×D73C2411yescharacteristic
916C2×C4×D73C2412yes—
917C2×C4×D73C2414yes—
918C2×C4×D73C2412yes—
919C2×C4×D73C2414yes—
920C2×C4×D73C2412yes—
921C2×C4×D73C2412yes—
922C2×C4×D73C2412yes—
923C2×C4×D73C2411yescharacteristic
924C2×C4×D73C2411yescharacteristic
925C2×C4×D73C2411yescharacteristic
926C2×C4×D73C2411yescharacteristic
927C2×C4×D73C2411yescharacteristic
928C2×C4×D73C2411yescharacteristic
929C2×C4×D73C2412yes—
930C2×C4×D73C2414yes—
931C2×C4×D73C2412yes—
932C2×C4×D73C2414yes—
933C2×C4×D73C2412yes—
934C2×C4×D73C2414yes—
935C2×C4×D73C2414yes—
936C2×C4×D73C2414yes—
937C2×C4×D73C2414yes—
938C2×C4×D73C2414yes—
939C2×C4×D73C2414yes—
940C2×C4×D73C2414yes—
941C2×C4×D73C2414yes—
942C2×C4×D73C2411yescharacteristic
943C4⋊Dic73C2411yescharacteristic
944C4⋊Dic73C2412yes—
945C4⋊Dic73C2412yes—
946C4⋊Dic73C2411yescharacteristic
947C4⋊Dic73C2412yes—
948C4⋊Dic73C2412yes—
949C4⋊Dic73C2412yes—
950C4⋊Dic73C2411yescharacteristic
951C4⋊Dic73C2411yescharacteristic
952C4⋊Dic73C2414yes—
953C4⋊Dic73C2412yes—
954C4⋊Dic73C2414yes—
955#11924007C2412yes—
956#11924007C2412yes—
957#11924007C2412yes—
958#11924007C2412yes—
959#11924007C2412yes—
960#11924007C2412yes—
961#11924007C2412yes—
962#11924007C2414yes—
963#11924007C2412yes—
964#11924007C2414yes—
965#11924007C2414yes—
966#11924007C2412yes—
967#11924007C2412yes—
968#11924007C2412yes—
969#11924007C2412yes—
970#11924007C2412yes—
971#11924007C2412yes—
972#11924007C2412yes—
973#11924007C2412yes—
974#11924007C2412yes—
975#11924007C2412yes—
976#11924007C2412yes—
977#11924007C2412yes—
978#11924007C2414yes—
979C22⋊Dic73C2412yes—
980C22⋊Dic73C2412yes—
981C22⋊Dic73C2412yes—
982C22⋊Dic73C2412yes—
983C22⋊Dic73C2412yes—
984C22⋊Dic73C2412yes—
985C22⋊Dic73C2412yes—
986C22⋊Dic73C2412yes—
987#11924005C2412yes—
988#11924005C2412yes—
989#11924005C2412yes—
990#11924005C2414yes—
991#11924005C2412yes—
992#11924005C2412yes—
993#11924005C2412yes—
994#11924005C2412yes—
995#11924005C2414yes—
996#11924005C2412yes—
997#11924005C2414yes—
998#11924005C2414yes—
999#11924005C2412yes—
1000#11924005C2414yes—
1001#11924005C2414yes—
1002#11924005C2412yes—
1003#11924005C2414yes—
1004#11924005C2414yes—
1005#11924005C2412yes—
1006#11924005C2414yes—
1007#11924005C2414yes—
1008#11924005C2414yes—
1009#11924005C2414yes—
1010#11924005C2414yes—
1011#11924005C2414yes—
1012#11924005C2414yes—
1013#11924005C2414yes—
1014#11924005C2414yes—
1015#11924005C2414yes—
1016#11924005C2412yes—
1017#11924005C2412yes—
1018#11924005C2412yes—
1019#11924005C2412yes—
1020#11924005C2412yes—
1021#11924005C2412yes—
1022#11924005C2412yes—
1023#11924005C2414yes—
1024#11924005C2414yes—
1025#11924005C2414yes—
1026#11924005C2412yes—
1027#11924005C2414yes—
1028#11924005C2414yes—
1029#11924005C2412yes—
1030#11924005C2414yes—
1031C4×Dic73C2411yescharacteristic
1032C4×Dic73C2412yes—
1033C4×Dic73C2412yes—
1034C4×Dic73C2412yes—
1035C4×Dic73C2411yescharacteristic
1036C4×Dic73C2411yescharacteristic
1037C4×Dic73C2411yescharacteristic
1038C4×Dic73C2411yescharacteristic
1039C4×Dic73C2412yes—
1040C4×Dic73C2411yescharacteristic
1041C4×Dic73C2411yescharacteristic
1042C4×Dic73C2411yescharacteristic
1043C4×Dic73C2411yescharacteristic
1044C4×Dic73C2411yescharacteristic
1045C4×Dic73C2411yescharacteristic
1046C4×Dic73C2411yescharacteristic
1047C4×Dic73C2412yes—
1048C4×Dic73C2412yes—
1049C4×Dic73C2414yes—
1050C4×Dic73C2414yes—
1051C4×Dic73C2412yes—
1052C4×Dic73C2412yes—
1053#41×C73—44no—
1054C2×Q8×C73—44no—
1055C2×Q8×C73—44no—
1056C2×Q8×C73C2411yescharacteristic
1057C2×Q8×C73C2411yescharacteristic
1058C2×Q8×C73C2412yes—
1059C2×Q8×C73C2412yes—
1060C2×Q8×C73C2414yes—
1061C2×Q8×C73C2414yes—
1062C2×D4×C73C2412yes—
1063C2×D4×C73C2412yes—
1064C2×D4×C73C2411yescharacteristic
1065C2×D4×C73C2411yescharacteristic
1066C2×D4×C73C2414yes—
1067C22×C4×C73C2411yescharacteristic
1068C22×C4×C73C2411yescharacteristic
1069C22×C4×C73C2411yescharacteristic
1070C22×C4×C73C2412yes—
1071C22×C4×C73C2412yes—
1072C22×C4×C73C2414yes—
1073C22×C4×C73C2414yes—
1074C22×C4×C73C2414yes—
1075C4⋊C4×C73C2411yescharacteristic
1076C4⋊C4×C73C2412yes—
1077C4⋊C4×C73C2412yes—
1078C4⋊C4×C73C2414yes—
1079C4⋊C4×C73C2412yes—
1080C4⋊C4×C73C2414yes—
1081C4⋊C4×C73C2414yes—
1082C4⋊C4×C73C2412yes—
1083C4⋊C4×C73C2411yescharacteristic
1084C4⋊C4×C73C2412yes—
1085C4⋊C4×C73C2412yes—
1086C4⋊C4×C73C2412yes—
1087C4⋊C4×C73C2412yes—
1088C4⋊C4×C73C2411yescharacteristic
1089C4⋊C4×C73C2414yes—
1090C4⋊C4×C73C2412yes—
1091C4⋊C4×C73C2414yes—
1092C4⋊C4×C73C2412yes—
1093C4⋊C4×C73C2411yescharacteristic
1094C4⋊C4×C73C2414yes—
1095C4⋊C4×C73C2414yes—
1096C4⋊C4×C73C2414yes—
1097C4⋊C4×C73C2412yes—
1098C4⋊C4×C73C2412yes—
1099C22⋊C4×C73C2414yes—
1100C22⋊C4×C73C2412yes—
1101C22⋊C4×C73C2412yes—
1102C22⋊C4×C73C2412yes—
1103C22⋊C4×C73C2412yes—
1104C22⋊C4×C73C2412yes—
1105C22⋊C4×C73C2412yes—
1106C22⋊C4×C73C2414yes—
1107C22⋊C4×C73C2414yes—
1108C22⋊C4×C73C2412yes—
1109C22⋊C4×C73C2412yes—
1110C22⋊C4×C73C2414yes—
1111C22⋊C4×C73C2412yes—
1112C22⋊C4×C73C2412yes—
1113C42×C73C2411yescharacteristic
1114C42×C73C2411yescharacteristic
1115C42×C73C2411yescharacteristic
1116C42×C73C2411yescharacteristic
1117C42×C73C2412yes—
1118C42×C73C2412yes—
1119C42×C73C2414yes—
1120C42×C73C2414yes—
1121C23×C73C2512yes—
1122C23×C73C2512yes—
1123C23×C73C2511yescharacteristic
1124C22×D73—22no—
1125C22×D73—28no—
1126C22×D73—22no—
1127C22×D73—24no—
1128C22×D73—41no—
1129C22×D73—44no—
1130C22×D73—44no—
1131C22×D73—44no—
1132C22×D73—42no—
1133C22×D73—42no—
1134C22×D73—44no—
1135C22×D73—44no—
1136C22×D73—44no—
1137C22×D73—44no—
1138C22×D73—44no—
1139C22×D73C2512yes—
1140C22×D73C2512yes—
1141C22×D73C2514yes—
1142C22×D73C2514yes—
1143C22×D73C2511yescharacteristic
1144C22×D73C2511yescharacteristic
1145Q8×C73—24no—
1146Q8×C73—22no—
1147Q8×C73—24no—
1148Q8×C73—22no—
1149Q8×C73—44no—
1150Q8×C73—44no—
1151D4×C73—24no—
1152D4×C73—24no—
1153D4×C73—22no—
1154D4×C73—22no—
1155D4×C73—44no—
1156C2×C4×C73—22no—
1157C2×C4×C73—22no—
1158C2×C4×C73—24no—
1159C2×C4×C73—22no—
1160C2×C4×C73—24no—
1161C2×C4×C73—44no—
1162C2×C4×C73—44no—
1163C2×C4×C73—44no—
1164C2×C4×C73C2512yes—
1165C2×C4×C73C2512yes—
1166C2×C4×C73C2512yes—
1167C2×C4×C73C2512yes—
1168C2×C4×C73C2511yescharacteristic
1169C2×C4×C73C2511yescharacteristic
1170C2×C4×C73C2511yescharacteristic
1171C2×C4×C73C2511yescharacteristic
1172C2×C4×C73C2512yes—
1173C2×C4×C73C2514yes—
1174C2×C4×C73C2514yes—
1175C2×C4×C73C2512yes—
1176C2×C4×C73C2511yescharacteristic
1177C2×C4×C73C2511yescharacteristic
1178C22⋊D73—24no—
1179C22⋊D73—24no—
1180C22⋊D73—24no—
1181C22⋊D73—42no—
1182C22⋊D73—44no—
1183C22⋊D73—44no—
1184C22⋊D73—42no—
1185C22⋊D73—44no—
1186C22⋊D73—44no—
1187C22⋊D73—44no—
1188C22⋊D73—42no—
1189C22⋊D73—44no—
1190C22⋊D73—42no—
1191C22⋊D73—42no—
1192C2×Dic73—22no—
1193C2×Dic73—22no—
1194C2×Dic73—24no—
1195C2×Dic73—24no—
1196C2×Dic73—41no—
1197C2×Dic73—42no—
1198C2×Dic73C2511yescharacteristic
1199C2×Dic73C2511yescharacteristic
1200C2×Dic73C2511yescharacteristic
1201C2×Dic73C2511yescharacteristic
1202C2×Dic73C2512yes—
1203C2×Dic73C2512yes—
1204C2×Dic73C2512yes—
1205C2×Dic73C2512yes—
1206C2×Dic73C2511yescharacteristic
1207C2×Dic73C2512yes—
1208C2×Dic73C2512yes—
1209C2×Dic73C2511yescharacteristic
1210D292—28no—
1211D292—28no—
1212D292—24no—
1213D292—24no—
1214D292—24no—
1215D292—22no—
1216D292—22no—
1217D292—24no—
1218D292—24no—
1219D292—44no—
1220D292—42no—
1221D292—44no—
1222D292—44no—
1223D292—44no—
1224D292—42no—
1225D292—44no—
1226D292—42no—
1227D292—44no—
1228D292—44no—
1229D292—44no—
1230D292—44no—
1231D292—44no—
1232D292—44no—
1233D292—42no—
1234D292—44no—
1235C4×D73—24no—
1236C4×D73—22no—
1237C4×D73—24no—
1238C4×D73—22no—
1239C4×D73—22no—
1240C4×D73—22no—
1241C4×D73—24no—
1242C4×D73—24no—
1243C4×D73—22no—
1244C4×D73—28no—
1245C4×D73—28no—
1246C4×D73—24no—
1247C4×D73—41no—
1248C4×D73—41no—
1249C4×D73—41no—
1250C4×D73—41no—
1251C4×D73—41no—
1252C4×D73—41no—
1253C4×D73—44no—
1254C4×D73—44no—
1255C4×D73—44no—
1256C4×D73—44no—
1257C4×D73—44no—
1258C4×D73—44no—
1259C4×D73—44no—
1260C4×D73—44no—
1261C4×D73—42no—
1262C4×D73—42no—
1263C4×D73—42no—
1264C4×D73—44no—
1265C4×D73—44no—
1266C4×D73H(5,𝔽2)14yes—
1267Dic146—22no—
1268Dic146—22no—
1269Dic146—42no—
1270Dic146—44no—
1271Dic146—42no—
1272Dic146—42no—
1273C22×C73—21no—
1274C22×C73—21no—
1275C22×C73—22no—
1276C22×C73—22no—
1277C22×C73—22no—
1278C22×C73—22no—
1279C22×C73—22no—
1280C22×C73—22no—
1281C22×C73#58512yes—
1282C22×C73C2611yescharacteristic
1283C2×D73—21no—
1284C2×D73—21no—
1285C2×D73—22no—
1286C2×D73—21no—
1287C2×D73—22no—
1288C2×D73—24no—
1289C2×D73—24no—
1290C2×D73—21no—
1291C2×D73—22no—
1292C2×D73—21no—
1293C2×D73—24no—
1294C2×D73—24no—
1295C2×D73—24no—
1296C2×D73—24no—
1297C2×D73—22no—
1298C2×D73—22no—
1299C2×D73—22no—
1300C2×D73—44no—
1301C2×D73—84no—
1302C2×D73—88no—
1303C2×D73—88no—
1304C2×D73—88no—
1305C2×D73C2×H(5,𝔽2)12yes—
1306C4×C73—24no—
1307C4×C73—22no—
1308C4×C73—21no—
1309C4×C73—22no—
1310C4×C73—24no—
1311C4×C73—22no—
1312C4×C73—22no—
1313C4×C73—22no—
1314C4×C73—22no—
1315C4×C73—21no—
1316C4×C73—21no—
1317C4×C73—21no—
1318C4×C73C2×H(5,𝔽2)12yes—
1319C4×C73#58512yes—
1320Dic73—22no—
1321Dic73—22no—
1322Dic73—21no—
1323Dic73—22no—
1324Dic73—21no—
1325Dic73—21no—
1326Dic73—21no—
1327Dic73—22no—
1328Dic73—22no—
1329Dic73—21no—
1330Dic73—22no—
1331Dic73C2×H(5,𝔽2)12yes—
1332#62748—731nomaximal, Sylow
1333C2×C73—22no—
1334C2×C73—42no—
1335C2×C73—42no—
1336C2×C73C22×H(5,𝔽2)11yescharacteristic
1337C2×C73C2×#58511yescharacteristic
1338C2×C73C2×#58511yescharacteristic
1339D73—22no—
1340D73—41no—
1341D73—42no—
1342D73—44no—
1343D73—44no—
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#3552D7311yescharacteristic, complemented
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#3480—731no—
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#563C2×D7314yescomplemented
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—731no—
1403#559—732no—
1404#559—732no—
1405#559—732no—
1406#557—731no—
1407#557C2×D7311yescharacteristic, complemented
1408#556—731no—
1409#556—732no—
1410#556—732no—
1411#556C2×D7311yescharacteristic, complemented
1412#554—732no—
1413#554—732no—
1414#554—732no—
1415#554C2×D7312yescomplemented
1416#553—734no—
1417#553—734no—
1418#553—732no—
1419#553—734no—
1420#553—734no—
1421#553—732no—
1422#553—732no—
1423#553—732no—
1424#553—732no—
1425#553C2×D7312yescomplemented
1426#551—734no—
1427#551—734no—
1428#551—734no—
1429#551—734no—
1430#550—732no—
1431#550—731no—
1432#550—732no—
1433#550—731no—
1434#550—731no—
1435#550—731no—
1436D4×Q8—732no—
1437D4×Q8—731no—
1438D4×Q8C2×D7311yescharacteristic, complemented
1439D4×Q8C2×D7312yescomplemented
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—732no—
1449#547—731no—
1450#547—732no—
1451#547—734no—
1452#547—732no—
1453#547—734no—
1454#547—732no—
1455#547C2×D7311yescharacteristic, complemented
1456#546—732no—
1457#546—732no—
1458#546—734no—
1459#546—734no—
1460#546—734no—
1461#546—734no—
1462#546—732no—
1463#546—732no—
1464#546—734no—
1465#546—732no—
1466#546—732no—
1467#546—732no—
1468#546—734no—
1469#546—732no—
1470#546—734no—
1471#546—734no—
1472#546—732no—
1473#546—732no—
1474D42—734no—
1475D42—732no—
1476D42—732no—
1477D42—732no—
1478D42—734no—
1479D42—732no—
1480D42—731no—
1481D42—731no—
1482D42—732no—
1483D42—732no—
1484#544—732no—
1485#544C2×D7312yescomplemented
1486#543—734no—
1487#542—732no—
1488#542—732no—
1489#542—734no—
1490#542—734no—
1491#542—732no—
1492#542—732no—
1493#542—732no—
1494#542—732no—
1495#542—732no—
1496#542C2×D7312yescomplemented
1497#541—732no—
1498#541C2×D7312yescomplemented
1499#540—732no—
1500#540—734no—
1501#540—732no—
1502#540—732no—
1503#540—734no—
1504#540—732no—
1505#540—732no—
1506#540—732no—
1507#539—734no—
1508#539—734no—
1509#539—734no—
1510#539—734no—
1511#539—734no—
1512#539—734no—
1513#539—734no—
1514#539C2×D7314yescomplemented
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—734no—
1528#537—734no—
1529#537—732no—
1530#537—732no—
1531#536—732no—
1532#536—732no—
1533#536—732no—
1534#536C2×D7312yescomplemented
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—732no—
1553#532—731no—
1554#532—731no—
1555#532—732no—
1556#532—731no—
1557#532—731no—
1558#532—732no—
1559#532—732no—
1560#532—732no—
1561#532—732no—
1562#532—732no—
1563#532—734no—
1564#532—731no—
1565#532—732no—
1566#532—734no—
1567#532—731no—
1568#532—732no—
1569#532—731no—
1570C2×C4⋊Q8C2×D7311yescharacteristic, complemented
1571C2×#127—731no—
1572#529—732no—
1573#529—732no—
1574#529—732no—
1575#529—734no—
1576#529—734no—
1577#529—734no—
1578#529—731no—
1579#529—731no—
1580#529—734no—
1581#529—734no—
1582#529—734no—
1583#529—732no—
1584#529—731no—
1585#529—731no—
1586#529—732no—
1587#529—732no—
1588#529—731no—
1589#529—732no—
1590#529—731no—
1591#529—731no—
1592#529—731no—
1593#529—732no—
1594#529—732no—
1595#529—732no—
1596#529—731no—
1597#529—731no—
1598#529C2×D7311yescharacteristic, complemented
1599#529C2×D7311yescharacteristic, complemented
1600C2×#126—732no—
1601C2×#125—731no—
1602C2×#124—732no—
1603C2×#124—731no—
1604#525—732no—
1605#525—734no—
1606#525—734no—
1607#525—734no—
1608#525—731no—
1609#525—734no—
1610#525—734no—
1611#525—732no—
1612#525—732no—
1613#525—734no—
1614#525—734no—
1615#525—734no—
1616#525—734no—
1617#525—731no—
1618#525—734no—
1619#525—732no—
1620C2×#123—732no—
1621C2×C22⋊Q8—731no—
1622C2×#121—731no—
1623C2×#121—732no—
1624C2×#121—732no—
1625C4×#41—731no—
1626C4×#41—732no—
1627C4×#41—732no—
1628C4×#41—732no—
1629C4×#41—731no—
1630C4×#41—732no—
1631C4×#41—732no—
1632C4×#41—732no—
1633C2×C4×Q8—731no—
1634C2×C4×D4—732no—
1635C2×C4×D4—731no—
1636C2×C4×D4—734no—
1637C2×C4×D4—734no—
1638C2×C4×D4—732no—
1639C2×C4×D4—732no—
1640C2×C4×D4—732no—
1641C2×C4×D4—732no—
1642C2×#117—732no—
1643C22×C42—731no—
1644C2×#41—2928no—
1645C2×#41—2928no—
1646C2×#41—2928no—
1647C2×#41—732no—
1648C2×#41—734no—
1649C2×#41—734no—
1650C2×#41—734no—
1651C2×#41—732no—
1652C2×#41—732no—
1653C2×#41—732no—
1654C2×#41—732no—
1655C2×#41—734no—
1656C2×#41—732no—
1657C2×#41—731no—
1658C2×#41—732no—
1659C2×#41—732no—
1660C2×#41—734no—
1661C2×#41—731no—
1662C2×#41—732no—
1663C2×#41—732no—
1664C2×#41—732no—
1665C2×#41—734no—
1666C2×#41C22×D7312yes—
1667C22×Q8—731no—
1668C22×Q8—732no—
1669C22×Q8C22×D7312yes—
1670C22×Q8C22×D7312yes—
1671C22×D4—732no—
1672C22×D4—731no—
1673C22×D4—734no—
1674C22×D4—734no—
1675C22×D4—732no—
1676C22×D4—734no—
1677C22×D4—732no—
1678C22×D4—732no—
1679C22×D4—732no—
1680C22×D4—732no—
1681C22×D4—734no—
1682C22×D4—732no—
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—731no—
1693C4⋊Q8—732no—
1694C4⋊Q8—734no—
1695C4⋊Q8—731no—
1696C4⋊Q8—731no—
1697C4⋊Q8—732no—
1698C4⋊Q8C22×D7312yes—
1699C4⋊Q8C22×D7312yes—
1700C4⋊Q8C22×D7311yescharacteristic
1701C4⋊Q8C22×D7311yescharacteristic
1702C4⋊Q8C22×D7312yes—
1703C4⋊Q8C22×D7312yes—
1704C4⋊Q8C22×D7312yes—
1705C4⋊Q8C22×D7314yes—
1706#127—731no—
1707#127—732no—
1708#127—732no—
1709#127—734no—
1710#127—732no—
1711#127—732no—
1712#127—731no—
1713#127—731no—
1714#127—732no—
1715#127—732no—
1716#127—732no—
1717#127—734no—
1718#126—732no—
1719#126—732no—
1720#126—732no—
1721#126—732no—
1722#126—734no—
1723#126—734no—
1724#126—734no—
1725#126—734no—
1726#126—734no—
1727#126—734no—
1728#126—734no—
1729#126—734no—
1730#126—732no—
1731#126—732no—
1732#126—732no—
1733#126—732no—
1734#126—732no—
1735#126—732no—
1736#126—734no—
1737#126—734no—
1738#126—734no—
1739#126C22×D7312yes—
1740#126C22×D7312yes—
1741#126C22×D7314yes—
1742#126C22×D7314yes—
1743#126C22×D7314yes—
1744#125—732no—
1745#125—731no—
1746#125—731no—
1747#125—732no—
1748#125—732no—
1749#125—732no—
1750#125—734no—
1751#125—734no—
1752#125—734no—
1753#125—732no—
1754#125—731no—
1755#125—731no—
1756#125C22×D7311yescharacteristic
1757#125C22×D7311yescharacteristic
1758#125C22×D7314yes—
1759#125C22×D7314yes—
1760#125C22×D7314yes—
1761#125C22×D7312yes—
1762#124—731no—
1763#124—732no—
1764#124—732no—
1765#124—734no—
1766#124—732no—
1767#124—732no—
1768#124—734no—
1769#124—732no—
1770#124—732no—
1771#124—732no—
1772#124—734no—
1773#124—734no—
1774#124—734no—
1775#124—731no—
1776#124—732no—
1777#124—732no—
1778#124—732no—
1779#124—732no—
1780#124—734no—
1781#124—734no—
1782#124—734no—
1783#124—734no—
1784#124—731no—
1785#124—731no—
1786#124—734no—
1787#124—732no—
1788#124—734no—
1789#124—734no—
1790#124—732no—
1791#124—734no—
1792#124C22×D7311yescharacteristic
1793#124C22×D7311yescharacteristic
1794#124C22×D7312yes—
1795#124C22×D7314yes—
1796#123—732no—
1797#123—732no—
1798#123—732no—
1799#123—734no—
1800#123—734no—
1801#123—734no—
1802#123—732no—
1803#123—732no—
1804#123—732no—
1805#123—732no—
1806#123—734no—
1807#123—734no—
1808#123—734no—
1809#123—734no—
1810#123—734no—
1811#123—734no—
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—734no—
1825#123—734no—
1826#123—734no—
1827#123—734no—
1828#123—734no—
1829#123—734no—
1830#123—732no—
1831#123—732no—
1832#123—732no—
1833#123—732no—
1834#123—732no—
1835#123—734no—
1836#123—734no—
1837#123—734no—
1838#123—734no—
1839#123—734no—
1840#123—734no—
1841#123C22×D7312yes—
1842#123C22×D7312yes—
1843#123C22×D7314yes—
1844#123C22×D7314yes—
1845#123C22×D7314yes—
1846C22⋊Q8—731no—
1847C22⋊Q8—731no—
1848C22⋊Q8—734no—
1849C22⋊Q8—734no—
1850C22⋊Q8—734no—
1851C22⋊Q8—734no—
1852C22⋊Q8—734no—
1853C22⋊Q8—732no—
1854C22⋊Q8—732no—
1855C22⋊Q8—734no—
1856C22⋊Q8—731no—
1857C22⋊Q8—731no—
1858C22⋊Q8—734no—
1859C22⋊Q8—731no—
1860C22⋊Q8—732no—
1861C22⋊Q8—732no—
1862C22⋊Q8—732no—
1863C22⋊Q8—731no—
1864C22⋊Q8—732no—
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—732no—
1875C22⋊Q8—734no—
1876C22⋊Q8—734no—
1877C22⋊Q8—734no—
1878C22⋊Q8—734no—
1879C22⋊Q8—732no—
1880C22⋊Q8—732no—
1881C22⋊Q8C22×D7311yescharacteristic
1882C22⋊Q8C22×D7311yescharacteristic
1883C22⋊Q8C22×D7314yes—
1884C22⋊Q8C22×D7314yes—
1885C22⋊Q8C22×D7314yes—
1886C22⋊Q8C22×D7314yes—
1887C22⋊Q8C22×D7314yes—
1888C22⋊Q8C22×D7312yes—
1889C22⋊Q8C22×D7312yes—
1890C22⋊Q8C22×D7314yes—
1891C22⋊Q8C22×D7312yes—
1892#121—732no—
1893#121—731no—
1894#121—732no—
1895#121—731no—
1896#121—734no—
1897#121—734no—
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—732no—
1907#121—732no—
1908#121—732no—
1909#121—732no—
1910#121—731no—
1911#121—734no—
1912#121—734no—
1913#121—732no—
1914#121—732no—
1915#121—734no—
1916#121—732no—
1917#121—732no—
1918#121—732no—
1919#121—732no—
1920#121—732no—
1921#121—734no—
1922#121—732no—
1923#121—731no—
1924#121—734no—
1925#121—734no—
1926#121—734no—
1927#121—734no—
1928#121—734no—
1929#121—734no—
1930#121—732no—
1931#121—732no—
1932#121—734no—
1933#121—734no—
1934#121—732no—
1935#121—734no—
1936#121—734no—
1937#121—734no—
1938#121—732no—
1939#121—734no—
1940#121—732no—
1941#121—734no—
1942#121—734no—
1943#121—734no—
1944#121—734no—
1945#121—732no—
1946#121—732no—
1947#121—732no—
1948#121—732no—
1949#121—734no—
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#121—734no—
1963#121—734no—
1964#121C22×D7311yescharacteristic
1965#121C22×D7311yescharacteristic
1966#121C22×D7314yes—
1967#121C22×D7312yes—
1968#120—732no—
1969#120—734no—
1970#120—734no—
1971#120—734no—
1972#120—734no—
1973#120—734no—
1974#120—732no—
1975#120—734no—
1976#120—734no—
1977#120—734no—
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—731no—
1993C4×Q8—731no—
1994C4×Q8—732no—
1995C4×Q8—732no—
1996C4×Q8—731no—
1997C4×Q8—732no—
1998C4×Q8—732no—
1999C4×Q8—732no—
2000C4×Q8—732no—
2001C4×Q8—731no—
2002C4×Q8—732no—
2003C4×Q8—731no—
2004C4×Q8—732no—
2005C4×Q8—731no—
2006C4×Q8—732no—
2007C4×Q8C22×D7311yescharacteristic
2008C4×Q8C22×D7311yescharacteristic
2009C4×Q8C22×D7312yes—
2010C4×Q8C22×D7312yes—
2011C4×Q8C22×D7312yes—
2012C4×D4—732no—
2013C4×D4—731no—
2014C4×D4—732no—
2015C4×D4—731no—
2016C4×D4—732no—
2017C4×D4—732no—
2018C4×D4—732no—
2019C4×D4—734no—
2020C4×D4—734no—
2021C4×D4—734no—
2022C4×D4—734no—
2023C4×D4—734no—
2024C4×D4—732no—
2025C4×D4—732no—
2026C4×D4—732no—
2027C4×D4—731no—
2028C4×D4—732no—
2029C4×D4—732no—
2030C4×D4—734no—
2031C4×D4—734no—
2032C4×D4—732no—
2033C4×D4—734no—
2034C4×D4—732no—
2035C4×D4—734no—
2036C4×D4—734no—
2037C4×D4—732no—
2038C4×D4—732no—
2039C4×D4—734no—
2040C4×D4—732no—
2041C4×D4—732no—
2042C4×D4—732no—
2043C4×D4—734no—
2044C4×D4—732no—
2045C4×D4—732no—
2046C4×D4—734no—
2047C4×D4—734no—
2048C4×D4—732no—
2049C4×D4—732no—
2050C4×D4—732no—
2051C4×D4—731no—
2052C4×D4—734no—
2053C4×D4—734no—
2054C4×D4—732no—
2055C4×D4—732no—
2056C4×D4—732no—
2057C4×D4—732no—
2058C4×D4—732no—
2059C4×D4—732no—
2060C4×D4—734no—
2061C4×D4—734no—
2062C4×D4—734no—
2063C4×D4—732no—
2064C4×D4—732no—
2065C4×D4—732no—
2066C4×D4—734no—
2067C4×D4—732no—
2068C4×D4—732no—
2069C4×D4—732no—
2070C4×D4—732no—
2071C4×D4—734no—
2072C4×D4—731no—
2073C4×D4—732no—
2074C4×D4—734no—
2075C4×D4—734no—
2076C4×D4—732no—
2077C4×D4—732no—
2078C4×D4—731no—
2079C4×D4—734no—
2080C4×D4—734no—
2081C4×D4—734no—
2082C4×D4—732no—
2083C4×D4—732no—
2084C4×D4—732no—
2085C4×D4C22×D7312yes—
2086C4×D4C22×D7311yescharacteristic
2087C4×D4C22×D7314yes—
2088C4×D4C22×D7314yes—
2089C4×D4C22×D7312yes—
2090C4×D4C22×D7312yes—
2091C4×D4C22×D7311yescharacteristic
2092#117—732no—
2093#117—732no—
2094#117—732no—
2095#117—731no—
2096#117—731no—
2097#117—732no—
2098#117—734no—
2099#117—734no—
2100#117—732no—
2101#117—732no—
2102#117—734no—
2103#117—732no—
2104#117—732no—
2105#117—732no—
2106#117—732no—
2107#117—732no—
2108#117—732no—
2109#117—732no—
2110#117—732no—
2111#117—732no—
2112#117—734no—
2113#117C22×D7312yes—
2114#117C22×D7312yes—
2115#117C22×D7312yes—
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—734no—
2123C2×C4⋊C4—731no—
2124C2×C4⋊C4—732no—
2125C2×C4⋊C4C22×D7312yes—
2126C2×C4⋊C4C22×D7312yes—
2127C2×C4⋊C4C22×D7312yes—
2128C2×C22⋊C4—734no—
2129C2×C22⋊C4—734no—
2130C2×C22⋊C4—734no—
2131C2×C22⋊C4—732no—
2132C2×C22⋊C4—732no—
2133C2×C22⋊C4—732no—
2134C2×C22⋊C4—732no—
2135C2×C22⋊C4—732no—
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—732no—
2144C2×C42—731no—
2145C2×C42—731no—
2146C2×C42—732no—
2147C2×C42—731no—
2148C2×C42—732no—
2149C2×C42—734no—
2150C2×C42—734no—
2151C2×C42—731no—
2152C2×C42—731no—
2153C2×C42—731no—
2154C2×C42—731no—
2155C2×C42—731no—
2156C2×C42—731no—
2157C2×C42C22×D7311yescharacteristic
2158C24—734no—
2159C24—734no—
2160C24—734no—
2161C24—732no—
2162C24—731no—
2163#41—44no—
2164#41—2924no—
2165#41—2924no—
2166#41—2924no—
2167#41—2928no—
2168#41—2924no—
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—2928no—
2178#41—2928no—
2179#41—1464no—
2180#41—1468no—
2181#41—1464no—
2182#41—1468no—
2183C2×Q8—44no—
2184C2×Q8—44no—
2185C2×Q8—2922no—
2186C2×Q8—2924no—
2187C2×Q8—732no—
2188C2×Q8—732no—
2189C2×Q8—732no—
2190C2×Q8—734no—
2191C2×Q8—731no—
2192C2×Q8—731no—
2193C2×Q8C23×D7311yescharacteristic
2194C2×Q8C23×D7312yes—
2195C2×Q8C23×D7311yescharacteristic
2196C2×Q8C23×D7312yes—
2197C2×Q8C23×D7314yes—
2198C2×Q8C23×D7314yes—
2199C2×D4—2924no—
2200C2×D4—2924no—
2201C2×D4—2924no—
2202C2×D4—2924no—
2203C2×D4—2924no—
2204C2×D4—2928no—
2205C2×D4—2928no—
2206C2×D4—2924no—
2207C2×D4—2928no—
2208C2×D4—2928no—
2209C2×D4—2928no—
2210C2×D4—2922no—
2211C2×D4—2924no—
2212C2×D4—2924no—
2213C2×D4—732no—
2214C2×D4—734no—
2215C2×D4—732no—
2216C2×D4—732no—
2217C2×D4—734no—
2218C2×D4—734no—
2219C2×D4—732no—
2220C2×D4—734no—
2221C2×D4—732no—
2222C2×D4—734no—
2223C2×D4—734no—
2224C2×D4—732no—
2225C2×D4—732no—
2226C2×D4—732no—
2227C2×D4—734no—
2228C2×D4—734no—
2229C2×D4—734no—
2230C2×D4—732no—
2231C2×D4—734no—
2232C2×D4—732no—
2233C2×D4—732no—
2234C2×D4—734no—
2235C2×D4—732no—
2236C2×D4—734no—
2237C2×D4—734no—
2238C2×D4—734no—
2239C2×D4—734no—
2240C2×D4—734no—
2241C2×D4—734no—
2242C2×D4—734no—
2243C2×D4—731no—
2244C2×D4—732no—
2245C2×D4—732no—
2246C2×D4—734no—
2247C2×D4—732no—
2248C2×D4—734no—
2249C2×D4—731no—
2250C2×D4—732no—
2251C2×D4—732no—
2252C2×D4C23×D7312yes—
2253C2×D4C23×D7312yes—
2254C2×D4C23×D7311yescharacteristic
2255C2×D4C23×D7311yescharacteristic
2256C2×D4C23×D7314yes—
2257C22×C4—2922no—
2258C22×C4—2922no—
2259C22×C4—2928no—
2260C22×C4—2928no—
2261C22×C4—2928no—
2262C22×C4—731no—
2263C22×C4—732no—
2264C22×C4—731no—
2265C22×C4—731no—
2266C22×C4—731no—
2267C22×C4—731no—
2268C22×C4—731no—
2269C22×C4—731no—
2270C22×C4—732no—
2271C22×C4—732no—
2272C22×C4—734no—
2273C22×C4—734no—
2274C22×C4—732no—
2275C22×C4—734no—
2276C22×C4—734no—
2277C22×C4—734no—
2278C22×C4—734no—
2279C22×C4—734no—
2280C22×C4—734no—
2281C22×C4—734no—
2282C22×C4—734no—
2283C22×C4—731no—
2284C22×C4—731no—
2285C22×C4—731no—
2286C22×C4—732no—
2287C22×C4—732no—
2288C22×C4—731no—
2289C22×C4—731no—
2290C22×C4—731no—
2291C22×C4—731no—
2292C22×C4—731no—
2293C22×C4—732no—
2294C22×C4—734no—
2295C22×C4—732no—
2296C22×C4—734no—
2297C22×C4—732no—
2298C22×C4—732no—
2299C22×C4—732no—
2300C22×C4—1464no—
2301C22×C4—1468no—
2302C22×C4C23×D7311yescharacteristic
2303C22×C4C23×D7311yescharacteristic
2304C22×C4C23×D7311yescharacteristic
2305C22×C4C23×D7312yes—
2306C22×C4C23×D7312yes—
2307C22×C4C23×D7314yes—
2308C22×C4C23×D7314yes—
2309C22×C4C23×D7314yes—
2310C4⋊C4—732no—
2311C4⋊C4—732no—
2312C4⋊C4—732no—
2313C4⋊C4—732no—
2314C4⋊C4—732no—
2315C4⋊C4—732no—
2316C4⋊C4—732no—
2317C4⋊C4—734no—
2318C4⋊C4—732no—
2319C4⋊C4—734no—
2320C4⋊C4—734no—
2321C4⋊C4—732no—
2322C4⋊C4—732no—
2323C4⋊C4—732no—
2324C4⋊C4—732no—
2325C4⋊C4—732no—
2326C4⋊C4—732no—
2327C4⋊C4—732no—
2328C4⋊C4—732no—
2329C4⋊C4—732no—
2330C4⋊C4—732no—
2331C4⋊C4—734no—
2332C4⋊C4—732no—
2333C4⋊C4—732no—
2334C4⋊C4—731no—
2335C4⋊C4—732no—
2336C4⋊C4—732no—
2337C4⋊C4—731no—
2338C4⋊C4—732no—
2339C4⋊C4—732no—
2340C4⋊C4—732no—
2341C4⋊C4—731no—
2342C4⋊C4—731no—
2343C4⋊C4—734no—
2344C4⋊C4—732no—
2345C4⋊C4—734no—
2346C4⋊C4C23×D7311yescharacteristic
2347C4⋊C4C23×D7312yes—
2348C4⋊C4C23×D7312yes—
2349C4⋊C4C23×D7312yes—
2350C4⋊C4C23×D7311yescharacteristic
2351C4⋊C4C23×D7314yes—
2352C4⋊C4C23×D7312yes—
2353C4⋊C4C23×D7314yes—
2354C4⋊C4C23×D7312yes—
2355C4⋊C4C23×D7312yes—
2356C4⋊C4C23×D7312yes—
2357C4⋊C4C23×D7314yes—
2358C4⋊C4C23×D7314yes—
2359C4⋊C4C23×D7312yes—
2360C4⋊C4C23×D7314yes—
2361C4⋊C4C23×D7311yescharacteristic
2362C4⋊C4C23×D7311yescharacteristic
2363C4⋊C4C23×D7314yes—
2364C4⋊C4C23×D7312yes—
2365C4⋊C4C23×D7314yes—
2366C4⋊C4C23×D7314yes—
2367C4⋊C4C23×D7312yes—
2368C4⋊C4C23×D7312yes—
2369C4⋊C4C23×D7312yes—
2370C22⋊C4—732no—
2371C22⋊C4—732no—
2372C22⋊C4—732no—
2373C22⋊C4—732no—
2374C22⋊C4—732no—
2375C22⋊C4—732no—
2376C22⋊C4—732no—
2377C22⋊C4—732no—
2378C22⋊C4—732no—
2379C22⋊C4—732no—
2380C22⋊C4—732no—
2381C22⋊C4—734no—
2382C22⋊C4—734no—
2383C22⋊C4—732no—
2384C22⋊C4—732no—
2385C22⋊C4—732no—
2386C22⋊C4—732no—
2387C22⋊C4—732no—
2388C22⋊C4—734no—
2389C22⋊C4—734no—
2390C22⋊C4—732no—
2391C22⋊C4—734no—
2392C22⋊C4—734no—
2393C22⋊C4—734no—
2394C22⋊C4—734no—
2395C22⋊C4—734no—
2396C22⋊C4—734no—
2397C22⋊C4—734no—
2398C22⋊C4—734no—
2399C22⋊C4—734no—
2400C22⋊C4—734no—
2401C22⋊C4—734no—
2402C22⋊C4—734no—
2403C22⋊C4—734no—
2404C22⋊C4—732no—
2405C22⋊C4—732no—
2406C22⋊C4—732no—
2407C22⋊C4—732no—
2408C22⋊C4—734no—
2409C22⋊C4—734no—
2410C22⋊C4—732no—
2411C22⋊C4—732no—
2412C22⋊C4—734no—
2413C22⋊C4—732no—
2414C22⋊C4—732no—
2415C22⋊C4—734no—
2416C22⋊C4—734no—
2417C22⋊C4—734no—
2418C22⋊C4—732no—
2419C22⋊C4—734no—
2420C22⋊C4—732no—
2421C22⋊C4—732no—
2422C22⋊C4C23×D7312yes—
2423C22⋊C4C23×D7312yes—
2424C22⋊C4C23×D7312yes—
2425C22⋊C4C23×D7312yes—
2426C22⋊C4C23×D7312yes—
2427C22⋊C4C23×D7312yes—
2428C22⋊C4C23×D7314yes—
2429C22⋊C4C23×D7314yes—
2430C22⋊C4C23×D7314yes—
2431C22⋊C4C23×D7312yes—
2432C22⋊C4C23×D7312yes—
2433C22⋊C4C23×D7312yes—
2434C22⋊C4C23×D7314yes—
2435C22⋊C4C23×D7312yes—
2436C42—731no—
2437C42—731no—
2438C42—731no—
2439C42—731no—
2440C42—732no—
2441C42—732no—
2442C42—732no—
2443C42—732no—
2444C42—731no—
2445C42—731no—
2446C42—731no—
2447C42—731no—
2448C42—731no—
2449C42—731no—
2450C42—731no—
2451C42—731no—
2452C42—732no—
2453C42—732no—
2454C42—732no—
2455C42—732no—
2456C42—734no—
2457C42—734no—
2458C42C23×D7311yescharacteristic
2459C42C23×D7311yescharacteristic
2460C42C23×D7311yescharacteristic
2461C42C23×D7311yescharacteristic
2462C42C23×D7312yes—
2463C42C23×D7312yes—
2464C42C23×D7314yes—
2465C42C23×D7314yes—
2466C23—2921no—
2467C23—2924no—
2468C23—2924no—
2469C23—2924no—
2470C23—2924no—
2471C23—2924no—
2472C23—2924no—
2473C23—2924no—
2474C23—2924no—
2475C23—2922no—
2476C23—2922no—
2477C23—731no—
2478C23—732no—
2479C23—734no—
2480C23—734no—
2481C23—732no—
2482C23—731no—
2483C23—1462no—
2484C23—1464no—
2485C23—1462no—
2486C23—1468no—
2487C23C24×D7312yes—
2488C23C24×D7312yes—
2489C23C24×D7311yescharacteristic
2490Q8—24no—
2491Q8—22no—
2492Q8—24no—
2493Q8—22no—
2494Q8—44no—
2495Q8—44no—
2496Q8—2924no—
2497Q8—2922no—
2498Q8—2922no—
2499Q8—2922no—
2500Q8—1462no—
2501Q8—1462no—
2502D4—24no—
2503D4—24no—
2504D4—22no—
2505D4—22no—
2506D4—44no—
2507D4—2924no—
2508D4—2924no—
2509D4—2924no—
2510D4—2924no—
2511D4—2924no—
2512D4—2924no—
2513D4—2924no—
2514D4—2922no—
2515D4—2922no—
2516D4—2924no—
2517D4—2924no—
2518D4—2922no—
2519D4—2924no—
2520D4—2924no—
2521D4—2922no—
2522D4—2924no—
2523D4—2924no—
2524D4—2924no—
2525D4—2924no—
2526D4—2922no—
2527D4—2924no—
2528D4—2924no—
2529D4—2922no—
2530D4—2924no—
2531D4—2922no—
2532D4—2922no—
2533D4—2922no—
2534D4—1468no—
2535D4—1468no—
2536D4—1464no—
2537D4—1464no—
2538D4—1464no—
2539D4—1464no—
2540D4—1464no—
2541D4—1462no—
2542D4—1464no—
2543D4—1462no—
2544D4—1464no—
2545D4—1464no—
2546C2×C4—22no—
2547C2×C4—22no—
2548C2×C4—24no—
2549C2×C4—22no—
2550C2×C4—24no—
2551C2×C4—44no—
2552C2×C4—44no—
2553C2×C4—44no—
2554C2×C4—2924no—
2555C2×C4—2924no—
2556C2×C4—2924no—
2557C2×C4—2924no—
2558C2×C4—2924no—
2559C2×C4—2924no—
2560C2×C4—2921no—
2561C2×C4—2921no—
2562C2×C4—2921no—
2563C2×C4—2921no—
2564C2×C4—2921no—
2565C2×C4—2921no—
2566C2×C4—2922no—
2567C2×C4—2924no—
2568C2×C4—2924no—
2569C2×C4—2922no—
2570C2×C4—2924no—
2571C2×C4—2922no—
2572C2×C4—2924no—
2573C2×C4—2921no—
2574C2×C4—2922no—
2575C2×C4—731no—
2576C2×C4—734no—
2577C2×C4—731no—
2578C2×C4—732no—
2579C2×C4—731no—
2580C2×C4—731no—
2581C2×C4—731no—
2582C2×C4—732no—
2583C2×C4—732no—
2584C2×C4—732no—
2585C2×C4—731no—
2586C2×C4—732no—
2587C2×C4—732no—
2588C2×C4—1464no—
2589C2×C4—1468no—
2590C2×C4—1468no—
2591C2×C4—1464no—
2592C2×C4—1462no—
2593C2×C4—1464no—
2594C2×C4—1462no—
2595C2×C4—1462no—
2596C2×C4—1464no—
2597C2×C4—1464no—
2598C2×C4—1462no—
2599C2×C4—1464no—
2600C2×C4—1462no—
2601C2×C4—1462no—
2602C2×C4—1462no—
2603C2×C4—1464no—
2604C2×C4C24×D7312yes—
2605C2×C4C24×D7311yescharacteristic
2606C2×C4C24×D7311yescharacteristic
2607C2×C4C24×D7311yescharacteristic
2608C2×C4C24×D7311yescharacteristic
2609C2×C4C24×D7312yes—
2610C2×C4C24×D7312yes—
2611C2×C4C24×D7312yes—
2612C2×C4C24×D7314yes—
2613C2×C4C24×D7312yes—
2614C2×C4C24×D7314yes—
2615C2×C4C24×D7312yes—
2616C2×C4C24×D7311yescharacteristic
2617C2×C4C24×D7311yescharacteristic
2618C22—21no—
2619C22—21no—
2620C22—22no—
2621C22—22no—
2622C22—22no—
2623C22—22no—
2624C22—22no—
2625C22—22no—
2626C22—2924no—
2627C22—5848no—
2628C22—5848no—
2629C22—5848no—
2630C22—5844no—
2631C22—732no—
2632C22—1462no—
2633C22—1464no—
2634C22—1462no—
2635C22—1464no—
2636C22—1461no—
2637C22—1461no—
2638C22—1461no—
2639C22—1464no—
2640C22—1464no—
2641C22—1462no—
2642C22—1464no—
2643C22—1464no—
2644C22—1462no—
2645C22—1462no—
2646C22—1462no—
2647C22—1461no—
2648C22—1461no—
2649C22#1798942412yes—
2650C22C25×D7311yescharacteristic
2651C4—22no—
2652C4—21no—
2653C4—24no—
2654C4—24no—
2655C4—22no—
2656C4—21no—
2657C4—21no—
2658C4—21no—
2659C4—22no—
2660C4—22no—
2661C4—22no—
2662C4—22no—
2663C4—732no—
2664C4—1461no—
2665C4—1462no—
2666C4—1462no—
2667C4—1461no—
2668C4—1462no—
2669C4—1462no—
2670C4—1462no—
2671C4—1462no—
2672C4—1461no—
2673C4—1461no—
2674C4—1461no—
2675C4H(5,𝔽2)×D7312yes—
2676C4#1798942412yes—
2677C2—22no—
2678C2—42no—
2679C2—42no—
2680C2—2921no—
2681C2—2922no—
2682C2—2924no—
2683C2—2924no—
2684C2—2922no—
2685C2—1462no—
2686C2C2×H(5,𝔽2)×D7311yescharacteristic
2687C2C2×#1798942411yescharacteristic
2688C2C2×#1798942411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3552C2
hypercenter#3552D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #22624525C2semidirect
2. #22624507C2semidirect
3. #22624497C2semidirect
4. #22624474C2semidirect
5. #22624464C2semidirect
6. #22624448C2semidirect
7. #22624446C2semidirect
8. #22624405C2semidirect
9. #22624403C2semidirect
10. #22624372C2semidirect
11. #22624306C2semidirect
12. #22624304C2semidirect
13. #22624261C2semidirect
14. #22624261C2semidirect
15. #22624167C2semidirect
16. #22624159C2semidirect
17. #22624119C2semidirect
18. #22624072C2semidirect
19. #22623542C2semidirect
20. #22623538C2semidirect
21. #22623531C2semidirect
22. #22623523C2semidirect
23. D4×#11924029C2semidirect
24. D4×#11924029C2semidirect
25. #22623420C2semidirect
26. #22623418C2semidirect
27. #22623354C2semidirect
28. #22623351C2semidirect
29. #22623339C2semidirect
30. #22623322C2semidirect
31. #22623263C2semidirect
32. #22623225C2semidirect
33. C2×#17989138C2semidirect
34. #529×D73C2semidirect
35. C73×#3552C2semidirect
36. C22×#11924029C22semidirect
37. C22×#11924029C22semidirect
38. C2×#41×D73C22semidirect
39. #17989336C22semidirect
40. #17989336C22semidirect
41. #17989335C22semidirect
42. #17989335C22semidirect
43. #17989333C22semidirect
44. #17989333C22semidirect
45. #17989333C22semidirect
46. #17989333C22semidirect
47. #17989329C22semidirect
48. #17989328C22semidirect
49. #17989328C22semidirect
50. #17989328C22semidirect
51. #17989328C22semidirect
52. #17989327C22semidirect
53. #17989327C22semidirect
54. #17989322C22semidirect
55. #17989322C22semidirect
56. #17989322C22semidirect
57. #17989322C22semidirect
58. #17989320C22semidirect
59. #17989319C22semidirect
60. #17989312C22semidirect
61. #17989311C22semidirect
62. #17989311C22semidirect
63. #17989309C22semidirect
64. #17989298C22semidirect
65. #17989293C22semidirect
66. #17989292C22semidirect
67. #17989290C22semidirect
68. #17989290C22semidirect
69. #17989290C22semidirect
70. #17989288C22semidirect
71. #17989285C22semidirect
72. #17989285C22semidirect
73. #17989282C22semidirect
74. #17989281C22semidirect
75. #17989281C22semidirect
76. #17989266C22semidirect
77. #17989264C22semidirect
78. #17989264C22semidirect
79. #17989262C22semidirect
80. #17989259C22semidirect
81. #17989259C22semidirect
82. #17989259C22semidirect
83. #17989258C22semidirect
84. #17989258C22semidirect
85. #17989256C22semidirect
86. #17989252C22semidirect
87. Q8×C22⋊D73C22semidirect
88. #17989249C22semidirect
89. #17989249C22semidirect
90. #17989248C22semidirect
91. #17989248C22semidirect
92. #17989248C22semidirect
93. #17989247C22semidirect
94. #17989247C22semidirect
95. #17989240C22semidirect
96. #17989240C22semidirect
97. #17989240C22semidirect
98. #17989240C22semidirect
99. #17989239C22semidirect
100. #17989239C22semidirect
101. #17989238C22semidirect
102. #17989234C22semidirect
103. #17989233C22semidirect
104. #17989233C22semidirect
105. #17989233C22semidirect
106. #17989232C22semidirect
107. #17989230C22semidirect
108. #17989230C22semidirect
109. #17989229C22semidirect
110. #17989228C22semidirect
111. #17989228C22semidirect
112. #17989228C22semidirect
113. #17989228C22semidirect
114. #17989228C22semidirect
115. #17989228C22semidirect
116. #17989228C22semidirect
117. #17989228C22semidirect
118. #17989226C22semidirect
119. #17989225C22semidirect
120. D4×D292C22semidirect
121. D4×D292C22semidirect
122. D4×D292C22semidirect
123. D4×D292C22semidirect
124. D4×D292C22semidirect
125. D4×D292C22semidirect
126. #17989221C22semidirect
127. #17989221C22semidirect
128. #17989221C22semidirect
129. #17989221C22semidirect
130. #17989214C22semidirect
131. #17989212C22semidirect
132. #17989211C22semidirect
133. #17989211C22semidirect
134. #17989211C22semidirect
135. #17989210C22semidirect
136. #17989210C22semidirect
137. #17989209C22semidirect
138. #17989209C22semidirect
139. #17989209C22semidirect
140. #17989207C22semidirect
141. #17989198C22semidirect
142. #17989193C22semidirect
143. #17989193C22semidirect
144. #17989193C22semidirect
145. #17989193C22semidirect
146. #17989192C22semidirect
147. #17989192C22semidirect
148. #17989189C22semidirect
149. #17989188C22semidirect
150. #17989185C22semidirect
151. #17989185C22semidirect
152. #17989185C22semidirect
153. #17989185C22semidirect
154. #17989184C22semidirect
155. #17989183C22semidirect
156. #17989183C22semidirect
157. #17989177C22semidirect
158. #17989177C22semidirect
159. #17989176C22semidirect
160. #17989176C22semidirect
161. #17989176C22semidirect
162. #17989176C22semidirect
163. #17989176C22semidirect
164. #17989173C22semidirect
165. #17989173C22semidirect
166. #17989171C22semidirect
167. #17989170C22semidirect
168. #17989170C22semidirect
169. #17989168C22semidirect
170. #17989167C22semidirect
171. #17989167C22semidirect
172. #17989167C22semidirect
173. #17989162C22semidirect
174. #17989162C22semidirect
175. #17989161C22semidirect
176. #17989156C22semidirect
177. #17989156C22semidirect
178. #17989156C22semidirect
179. #17989155C22semidirect
180. #17989155C22semidirect
181. #17989155C22semidirect
182. #17989153C22semidirect
183. #17989151C22semidirect
184. #17989148C22semidirect
185. #17989148C22semidirect
186. #17989148C22semidirect
187. #17989148C22semidirect
188. #17989145C22semidirect
189. #17989143C22semidirect
190. #17989141C22semidirect
191. #17989139C22semidirect
192. #17989138C22semidirect
193. #17989138C22semidirect
194. #17989138C22semidirect
195. #17989138C22semidirect
196. #17989138C22semidirect
197. #17989138C22semidirect
198. #17989138C22semidirect
199. #17989138C22semidirect
200. #17989138C22semidirect
201. #17989138C22semidirect
202. #17989138C22semidirect
203. #17989138C22semidirect
204. #17989138C22semidirect
205. #17989136C22semidirect
206. #17989136C22semidirect
207. #17989136C22semidirect
208. #17989134C22semidirect
209. #17989132C22semidirect
210. #17989132C22semidirect
211. C2×#14556588C22semidirect
212. #17989124C22semidirect
213. #17989123C22semidirect
214. #17989123C22semidirect
215. #17989122C22semidirect
216. #17989122C22semidirect
217. #17989122C22semidirect
218. #17989122C22semidirect
219. #17989122C22semidirect
220. #17989122C22semidirect
221. #17989121C22semidirect
222. #17989121C22semidirect
223. #17989120C22semidirect
224. #17989120C22semidirect
225. #17989120C22semidirect
226. #17989120C22semidirect
227. #17989120C22semidirect
228. #17989120C22semidirect
229. #17989119C22semidirect
230. #17989118C22semidirect
231. #17989117C22semidirect
232. #17989116C22semidirect
233. #17989116C22semidirect
234. #17989115C22semidirect
235. #17989115C22semidirect
236. #17989114C22semidirect
237. #17989114C22semidirect
238. #126×D73C22semidirect
239. #125×D73C22semidirect
240. C2×#14556580C22semidirect
241. #124×D73C22semidirect
242. #17989100C22semidirect
243. #17989100C22semidirect
244. #17989100C22semidirect
245. #17989100C22semidirect
246. #17989100C22semidirect
247. #17989100C22semidirect
248. #17989100C22semidirect
249. #17989100C22semidirect
250. #17989100C22semidirect
251. #17989097C22semidirect
252. #17989097C22semidirect
253. #17989096C22semidirect
254. #17989095C22semidirect
255. #17989095C22semidirect
256. #17989095C22semidirect
257. #17989095C22semidirect
258. #123×D73C22semidirect
259. C22⋊Q8×D73C22semidirect
260. C2×#14556566C22semidirect
261. C2×#14556566C22semidirect
263. C4×#11924029C22semidirect
264. C4×#11924029C22semidirect
265. C4×#11924029C22semidirect
266. C4×#11924029C22semidirect
267. #17989055C22semidirect
268. #17989055C22semidirect
269. C4×#11924027C22semidirect
270. C4×#11924027C22semidirect
271. C4×Q8×D73C22semidirect
272. C2×#14556553C22semidirect
273. C2×#14556553C22semidirect
274. C2×#14556553C22semidirect
275. C4×D4×D73C22semidirect
276. C4×D4×D73C22semidirect
277. C4×D4×D73C22semidirect
278. C4×D4×D73C22semidirect
279. C4×D4×D73C22semidirect
280. #117×D73C22semidirect
281. C2×C42×D73C22semidirect
282. #563×C73C22semidirect
283. #557×C73C22semidirect
284. #556×C73C22semidirect
285. #554×C73C22semidirect
286. #553×C73C22semidirect
287. D4×Q8×C73C22semidirect
288. D4×Q8×C73C22semidirect
289. #548×C73C22semidirect
290. #547×C73C22semidirect
291. #544×C73C22semidirect
292. #542×C73C22semidirect
293. #541×C73C22semidirect
294. #539×C73C22semidirect
295. #536×C73C22semidirect
296. C2×C4⋊Q8×C73C22semidirect
297. #529×C73C22semidirect
298. #529×C73C22semidirect
1355. #3552D73semidirect
1380. C73#62748semidirect
1386. #563C2×D73semidirect
1407. #557C2×D73semidirect
1411. #556C2×D73semidirect
1415. #554C2×D73semidirect
1425. #553C2×D73semidirect
1438. D4×Q8C2×D73semidirect
1439. D4×Q8C2×D73semidirect
1447. #548C2×D73semidirect
1455. #547C2×D73semidirect
1485. #544C2×D73semidirect
1496. #542C2×D73semidirect
1498. #541C2×D73semidirect
1514. #539C2×D73semidirect
1534. #536C2×D73semidirect
1570. C2×C4⋊Q8C2×D73semidirect
1598. #529C2×D73semidirect
1599. #529C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245252
#226245072
#226244972
#226244742
#226244642
#226244482
#226244462
#226244052
#226244032
#226243722
#226243062
#226243042
#226242612
#226241672
#226241592
#226241192
#226240722
#226235422
#226235382
#226235312
#226235232
D4×#119240292
#226234202
#226234182
#226233542
#226233512
#226233392
#226233222
#226232632
#226232252
C2×#179891382
#529×D732
C73×#35522
#6274873