Finite Group Databasebeta

← #33982660

Subgroups — #33982660

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624267C211yesmaximal, characteristic, complemented
2#22623856C211yesmaximal, characteristic, complemented
3#22622887C211yesmaximal, characteristic, complemented
4#22622836C211yesmaximal, characteristic, complemented
5#22622750C211yesmaximal, characteristic, complemented
6#22622677C211yesmaximal, characteristic, complemented
7#22622437C211yesmaximal, characteristic, complemented
8#22622419C211yesmaximal, characteristic, complemented
9#22622375C211yesmaximal, characteristic, complemented
10#22622365C211yesmaximal, characteristic, complemented
11#22622300C211yesmaximal, characteristic, complemented
12#22622275C211yesmaximal, characteristic, complemented
13#22622080C211yesmaximal, characteristic, complemented
14#22622008C211yesmaximal, characteristic, complemented
15#22621952C211yesmaximal, characteristic, complemented
16#22621896C211yesmaximal, characteristic, complemented
17#22621762C211yesmaximal, characteristic, complemented
18#22621386C211yesmaximal, characteristic, complemented
19#22621338C211yesmaximal, characteristic, complemented
20#22621277C211yesmaximal, characteristic, complemented
21#22621210C211yesmaximal, characteristic, complemented
22#22621177C211yesmaximal, characteristic, complemented
23#22621150C211yesmaximal, characteristic, complemented
24#22620189C211yesmaximal, characteristic, complemented
25#22620108C211yesmaximal, characteristic, complemented
26#22620064C211yesmaximal, characteristic, complemented
27#22619777C211yesmaximal, characteristic, complemented
28#22619758C211yesmaximal, characteristic, complemented
29C2×#17988865C211yesmaximal, characteristic, complemented
30#22619064C211yesmaximal, characteristic, complemented
31C73×#3294C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989338—21no—
34#17989323C2211yescharacteristic
35#17989317C2211yescharacteristic, complemented
36#17989301C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic
38#17989296C2211yescharacteristic, complemented
39#17989292C2211yescharacteristic, complemented
40#17989284C2211yescharacteristic
41#17989280—21no—
42#17989277C2211yescharacteristic
43#17989277C2211yescharacteristic
44#17989274—21no—
45#17989272C2211yescharacteristic, complemented
46#17989268—21no—
47#17989268—21no—
48#17989237C2211yescharacteristic
49#17989237C2211yescharacteristic, complemented
50#17989236—21no—
51#17989231—21no—
52#17989231C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989216—21no—
56#17989214C2211yescharacteristic, complemented
57#17989205—21no—
58#17989204C2211yescharacteristic
59#17989204C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic, complemented
61#17989191C2211yescharacteristic
62#17989182—21no—
63#17989172—21no—
64#17989159—21no—
65#17989158—21no—
66C2×#14556590C2211yescharacteristic, complemented
67#17989118C2211yescharacteristic
68#17989118C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989093—21no—
71C2×#14556572—21no—
72#17989066C2211yescharacteristic
73#17989062C2211yescharacteristic
74C2×D4×Dic73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988989C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic
82#17988945C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988945C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic
96#17988908C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic
101#17988898C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988893C2211yescharacteristic, complemented
105#17988893C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic, complemented
109#17988887C2211yescharacteristic
110#17988887C2211yescharacteristic, complemented
111#17988885C2211yescharacteristic
112#17988885C2211yescharacteristic, complemented
113#17988885C2211yescharacteristic, complemented
114#17988881C2211yescharacteristic, complemented
115#17988881C2211yescharacteristic, complemented
116#17988881C2211yescharacteristic, complemented
117#17988879C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic
119#17988875C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic, complemented
121#17988865C2211yescharacteristic
122#17988865C2211yescharacteristic
123#17988865C2211yescharacteristic
124#17988865C2211yescharacteristic
125#17988865C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic, complemented
127#17988865C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988837C2211yescharacteristic, complemented
132#17988832C2211yescharacteristic, complemented
133#17988831C2211yescharacteristic
134#17988831C2211yescharacteristic, complemented
135#17988828C2211yescharacteristic, complemented
136#17988828C2211yescharacteristic, complemented
137#17988820C2211yescharacteristic, complemented
138#17988815C2211yescharacteristic, complemented
139#17988814C2211yescharacteristic
140#17988814C2211yescharacteristic, complemented
141#17988808C2211yescharacteristic, complemented
142#17988808C2211yescharacteristic, complemented
143#17988808C2211yescharacteristic, complemented
144#17988800C2211yescharacteristic
145#17988800C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic, complemented
147#17988800C2211yescharacteristic, complemented
148#17988800C2211yescharacteristic, complemented
149#17988784C2211yescharacteristic
150#17988750C2211yescharacteristic
151#17988738C2211yescharacteristic
152#17988738C2211yescharacteristic
153#17988729C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988716C2211yescharacteristic, complemented
156#17988699C2211yescharacteristic
157#17988699C2211yescharacteristic
158#17988699C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic
160#17988687C2211yescharacteristic, complemented
161#17988684C2211yescharacteristic
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×Dic292C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic
166D8×Dic73C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic
169#17988658C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988646C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988627C2211yescharacteristic, complemented
177#17988625C2211yescharacteristic, complemented
178C2×#14556525C2211yescharacteristic, complemented
179C2×#14556524C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988613C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988585C2211yescharacteristic
186#17988580C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188#547×C73C2211yescharacteristic
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic
191#480×C73C2211yescharacteristic
192#480×C73C2211yescharacteristic
193#474×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic
195#466×C73C2211yescharacteristic
196#459×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic
201C2×#102×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C22×Dic146—21no—
207C23×Dic73—21no—
208C2×Dic292C2311yescharacteristic
209C2×#11924016C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924012C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217#14556590—21no—
218#14556590—21no—
219#14556590—21no—
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589—21no—
228#14556589—21no—
229#14556589—21no—
230#14556586—21no—
231#14556586D411yescharacteristic
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556582—21no—
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581D411yescharacteristic
253#14556578—21no—
254#14556578—21no—
255#14556578—21no—
256#14556578—21no—
257#14556578C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577D411yescharacteristic
263#14556575D411yescharacteristic
264#14556574—21no—
265#14556574—21no—
266#14556573—21no—
267#14556573—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572D411yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568D411yescharacteristic
306#14556567—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563D411yescharacteristic
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556560—21no—
318#14556560—21no—
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556550—21no—
349#14556550C2311yescharacteristic
350#14556550C2311yescharacteristic
351#14556550C2311yescharacteristic
352#14556549C2311yescharacteristic
353#14556548C2311yescharacteristic
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357#14556547—21no—
358#14556547—21no—
359#14556547—21no—
360C2×C4⋊Dic73C2311yescharacteristic
361C2×C4⋊Dic73C2311yescharacteristic
362C2×#11924007—21no—
363C2×#11924007—21no—
364C2×#11924007—21no—
365C2×#11924007—21no—
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C2×C22⋊Dic73—21no—
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×C22⋊Dic73—21no—
372C2×C22⋊Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C22×D4×C73—21no—
437C22×D4×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73—21no—
449#121×C73—21no—
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#120×C73—21no—
455#120×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#102×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478#11924027—22no—
479#11924027—41no—
480#11924027—82no—
481#11924027—82no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—82no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73C2×D411yescharacteristic
497C2×C22⋊D73C2×D411yescharacteristic
498C22×Dic73—21no—
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—82no—
511C22×Dic73C2×D411yescharacteristic
512C22×Dic73C2×D411yescharacteristic
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73C2411yescharacteristic
516Dic292—41no—
517#11924016—22no—
518#11924016—41no—
519#11924016—41no—
520#11924016—41no—
521#11924012—41no—
522#11924011—41no—
523C2×#10596831—41no—
524C2×#10596831C2411yescharacteristic
525C2×#10596831C2411yescharacteristic
526C2×#10596831C2411yescharacteristic
527C2×#10596831C2411yescharacteristic
528C8×D73—41no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73C2×D411yescharacteristic
536C4⋊Dic73C2×D411yescharacteristic
537C4⋊Dic73C2×D411yescharacteristic
538C4⋊Dic73C2411yescharacteristic
539C4⋊Dic73C2411yescharacteristic
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544#11924007—21no—
545#11924007—21no—
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602#11924005—21no—
603#11924005—21no—
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2×D411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C4×Dic73C2411yescharacteristic
621C24×C73—21no—
622C24×C73—21no—
623#41×C73—82no—
624C2×Q8×C73—21no—
625C2×D4×C73—22no—
626C2×D4×C73—22no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73—21no—
634C2×D4×C73—21no—
635C2×D4×C73—41no—
636C2×D4×C73—41no—
637C2×D4×C73—82no—
638C2×D4×C73C2×D411yescharacteristic
639C2×D4×C73C2411yescharacteristic
640C2×D4×C73C2411yescharacteristic
641C2×D4×C73C2411yescharacteristic
642C2×D4×C73C2411yescharacteristic
643C22×C4×C73—21no—
644C22×C4×C73—21no—
645C22×C4×C73—21no—
646C22×C4×C73—21no—
647C22×C4×C73C2411yescharacteristic
648C22×C4×C73C2411yescharacteristic
649D8×C73—22no—
650D8×C73—41no—
651D8×C73—41no—
652C2×C8×C73—41no—
653C2×C8×C73—41no—
654C2×C8×C73C2411yescharacteristic
655C2×C8×C73C2411yescharacteristic
656C2×C8×C73C2411yescharacteristic
657C2×C8×C73C2411yescharacteristic
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73C2×D411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—21no—
679C23×C73—42no—
680C23×C73—42no—
681C23×C73—42no—
682C23×C73—81no—
683C23×C73—81no—
684C23×C73—81no—
685C23×C73C22×D411yescharacteristic
686C23×C73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—81no—
689D4×C73—22no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—42no—
698D4×C73—42no—
699D4×C73—42no—
700D4×C73—42no—
701D4×C73—81no—
702D4×C73—81no—
703D4×C73—81no—
704D4×C73—81no—
705D4×C732−1+412yes—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—42no—
715C2×C4×C73—81no—
716C2×C4×C73—81no—
717C2×C4×C73—81no—
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C22×D411yescharacteristic
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C22×D411yescharacteristic
722C2×C4×C73C2511yescharacteristic
723C22⋊D73—22no—
724C22⋊D73—41no—
725C22⋊D73—42no—
726C22⋊D73—81no—
727C22⋊D73—81no—
728C22⋊D73—81no—
729C2×Dic73—22no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—41no—
739C2×Dic73—42no—
740C2×Dic73—42no—
741C2×Dic73—42no—
742C2×Dic73—42no—
743C2×Dic73—81no—
744C2×Dic73—81no—
745C2×Dic73—81no—
746C2×Dic73—81no—
747C2×Dic73—81no—
748C2×Dic73—81no—
749C2×Dic73—81no—
750C2×Dic73—81no—
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C4×D73—21no—
759C4×D73—21no—
760C4×D73—81no—
761C4×D73—81no—
762Dic146—21no—
763Dic146—21no—
764Dic146—21no—
765Dic146—21no—
766Dic146—41no—
767Dic146—81no—
768Dic146—81no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—22no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—84no—
799C22×C73—162no—
800C22×C73#57612yes—
801C22×C73C23×D411yescharacteristic
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—21no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73C2×2−1+411yescharacteristic
814C4×C73#58511yescharacteristic
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62155—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—41no—
833C2×C73—42no—
834C2×C73—81no—
835C2×C73—81no—
836C2×C73—81no—
837C2×C73#348911yescharacteristic
838C2×C73C2×#57611yescharacteristic
839C2×C73#358611yescharacteristic
840D73—41no—
841#3544—731no—
842#3513—731no—
843#3389—731no—
844#3385—731no—
845#3375—731no—
846#3370—731no—
847#3347—731no—
848#3346—731no—
849#3343—731no—
850#3343—731no—
851#3336—731no—
852#3334—731no—
853#3319—731no—
854#3314—731no—
855#3310—731no—
856#3306—731no—
857#3296—731no—
858#3294D7311yescharacteristic, complemented
859#3262—731no—
860#3257—731no—
861#3250—731no—
862#3243—731no—
863#3241—731no—
864#3238—731no—
865#3124—731no—
866#3118—731no—
867#3114—731no—
868#3083—731no—
869#3081—731no—
870C2×#474—731no—
871#2992—731no—
872C73#6215511yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876Q82—731no—
877#555—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—1461no—
883#552—731no—
884#552—731no—
885#552—731no—
886#552—1461no—
887#551—1461no—
888#551—1461no—
889#547—731no—
890#547—731no—
891#547—1461no—
892#547C2×D7311yescharacteristic
893#546—731no—
894#546—731no—
895#546—1461no—
896D42C2×D7311yescharacteristic
897#544—731no—
898#544—731no—
899#544—1461no—
900#542—731no—
901#542—731no—
902#542—731no—
903#542—1461no—
904#540—731no—
905#539—1461no—
906#538—1461no—
907#536—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#500—731no—
923#499—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489—731no—
928#488—731no—
929#486C2×D7311yescharacteristic
930#485—731no—
931#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#480—731no—
943#480—731no—
944#480—731no—
945#480—731no—
946#480C2×D7311yescharacteristic
947#480C2×D7311yescharacteristic
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#477—731no—
961#477—731no—
962#477—731no—
963#477—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#474—731no—
975#474—731no—
976#474—731no—
977#474C2×D7311yescharacteristic
978#469—731no—
979#468—731no—
980#468—731no—
981#468—731no—
982#467—731no—
983#467—731no—
984#466—731no—
985#466C2×D7311yescharacteristic
986#466C2×D7311yescharacteristic
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459C2×D7311yescharacteristic
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447C2×D7311yescharacteristic
1005#447C2×D7311yescharacteristic
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×Q16—731no—
1017C4×SD16—731no—
1018C4×D8—731no—
1019C4×D8C2×D7311yescharacteristic
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4C2×D7311yescharacteristic
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#107—731no—
1033C2×#107—731no—
1034C2×#107—731no—
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102C2×D7311yescharacteristic
1043C2×#102C2×D7311yescharacteristic
1044C2×#41—21no—
1045C2×#41—731no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C22×Q8—1461no—
1049C22×D4—21no—
1050C22×D4C22×D7311yescharacteristic
1051C22×D4C22×D7311yescharacteristic
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×D8C22×D7311yescharacteristic
1059C2×D8C22×D7311yescharacteristic
1060C2×D8C22×D7311yescharacteristic
1061C2×M16—731no—
1062C2×M16—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8C22×D7311yescharacteristic
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8C22×D7311yescharacteristic
1081#127C22×D7311yescharacteristic
1082#126—731no—
1083#126—731no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#124—731no—
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124—1461no—
1115#123—21no—
1116#123—21no—
1117#123—731no—
1118#123—731no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138C22⋊Q8—21no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162#121—21no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121C22×D7311yescharacteristic
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—21no—
1178#120—21no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—1461no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4C22×D7311yescharacteristic
1211C4×D4C22×D7311yescharacteristic
1212C4×D4C22×D7311yescharacteristic
1213#117—731no—
1214#117—731no—
1215#117—731no—
1216#117—731no—
1217#117—731no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225C2×C4⋊C4—731no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107—731no—
1251#107—731no—
1252#107—731no—
1253#107—731no—
1254#107C22×D7311yescharacteristic
1255#107C22×D7311yescharacteristic
1256#107C22×D7311yescharacteristic
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97—731no—
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—21no—
1320C24—21no—
1321#41—82no—
1322#41—2921no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326C2×Q8—21no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—731no—
1330C2×Q8—731no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8—1461no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—82no—
1350C2×D4—731no—
1351C2×D4—731no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4D4×D7311yescharacteristic
1357C2×D4C23×D7311yescharacteristic
1358C2×D4C23×D7311yescharacteristic
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—5842no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—22no—
1391D8—41no—
1392D8—41no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—41no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4D4×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—731no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—42no—
1521C23—42no—
1522C23—42no—
1523C23—81no—
1524C23—81no—
1525C23—81no—
1526C23—731no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—81no—
1530Q8—2921no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—1461no—
1538Q8—1461no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—22no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—42no—
1550D4—42no—
1551D4—42no—
1552D4—42no—
1553D4—81no—
1554D4—81no—
1555D4—81no—
1556D4—81no—
1557D4—2922no—
1558D4—2921no—
1559D4—5841no—
1560D4—5841no—
1561D4—5841no—
1562D4—1462no—
1563D4#1455663812yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—2922no—
1579C2×C4—2922no—
1580C2×C4—2921no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—22no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—84no—
1640C22—162no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22#1798938812yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—2921no—
1655C4—2921no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4C2×#1455663811yescharacteristic
1670C4#1798942211yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—2921no—
1678C2#2262360211yescharacteristic
1679C2C2×#1798938811yescharacteristic
1680C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3294C2
socleC22×C73C23×D4
hypercenter#3294D73
hypocenterC73#62155
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #22624267C2semidirect
2. #22623856C2semidirect
3. #22622887C2semidirect
4. #22622836C2semidirect
5. #22622750C2semidirect
6. #22622677C2semidirect
7. #22622437C2semidirect
8. #22622419C2semidirect
9. #22622375C2semidirect
10. #22622365C2semidirect
11. #22622300C2semidirect
12. #22622275C2semidirect
13. #22622080C2semidirect
14. #22622008C2semidirect
15. #22621952C2semidirect
16. #22621896C2semidirect
17. #22621762C2semidirect
18. #22621386C2semidirect
19. #22621338C2semidirect
20. #22621277C2semidirect
21. #22621210C2semidirect
22. #22621177C2semidirect
23. #22621150C2semidirect
24. #22620189C2semidirect
25. #22620108C2semidirect
26. #22620064C2semidirect
27. #22619777C2semidirect
28. #22619758C2semidirect
29. C2×#17988865C2semidirect
30. #22619064C2semidirect
31. C73×#3294C2semidirect
35. #17989317C22semidirect
36. #17989301C22semidirect
38. #17989296C22semidirect
39. #17989292C22semidirect
45. #17989272C22semidirect
49. #17989237C22semidirect
54. #17989218C22semidirect
56. #17989214C22semidirect
59. #17989204C22semidirect
60. #17989202C22semidirect
66. C2×#14556590C22semidirect
68. #17989118C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988993C22semidirect
79. #17988991C22semidirect
80. #17988989C22semidirect
82. #17988945C22semidirect
83. #17988945C22semidirect
84. #17988945C22semidirect
85. #17988940C22semidirect
86. #17988929C22semidirect
87. #17988929C22semidirect
88. #17988924C22semidirect
89. #17988922C22semidirect
90. #17988918C22semidirect
91. #17988918C22semidirect
92. #17988917C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
96. #17988908C22semidirect
97. #17988904C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
101. #17988898C22semidirect
102. #17988895C22semidirect
103. #17988895C22semidirect
104. #17988893C22semidirect
105. #17988893C22semidirect
107. #17988889C22semidirect
108. #17988889C22semidirect
110. #17988887C22semidirect
112. #17988885C22semidirect
113. #17988885C22semidirect
114. #17988881C22semidirect
115. #17988881C22semidirect
116. #17988881C22semidirect
117. #17988879C22semidirect
119. #17988875C22semidirect
120. #17988875C22semidirect
125. #17988865C22semidirect
126. #17988865C22semidirect
127. #17988865C22semidirect
128. #17988865C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988837C22semidirect
132. #17988832C22semidirect
134. #17988831C22semidirect
135. #17988828C22semidirect
136. #17988828C22semidirect
137. #17988820C22semidirect
138. #17988815C22semidirect
140. #17988814C22semidirect
141. #17988808C22semidirect
142. #17988808C22semidirect
143. #17988808C22semidirect
145. #17988800C22semidirect
146. #17988800C22semidirect
147. #17988800C22semidirect
148. #17988800C22semidirect
154. #17988717C22semidirect
155. #17988716C22semidirect
158. #17988699C22semidirect
160. #17988687C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
164. C4×Dic292C22semidirect
166. D8×Dic73C22semidirect
167. #17988661C22semidirect
169. #17988658C22semidirect
170. #17988655C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988646C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988628C22semidirect
176. #17988627C22semidirect
177. #17988625C22semidirect
178. C2×#14556525C22semidirect
179. C2×#14556524C22semidirect
180. #107×D73C22semidirect
181. #17988613C22semidirect
182. #17988612C22semidirect
183. C2×#14556520C22semidirect
858. #3294D73semidirect
872. C73#62155semidirect

Maximal subgroups

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

subgroupindex
#226242672
#226238562
#226228872
#226228362
#226227502
#226226772
#226224372
#226224192
#226223752
#226223652
#226223002
#226222752
#226220802
#226220082
#226219522
#226218962
#226217622
#226213862
#226213382
#226212772
#226212102
#226211772
#226211502
#226201892
#226201082
#226200642
#226197772
#226197582
C2×#179888652
#226190642
C73×#32942
#6215573