Finite Group Databasebeta

← #33979784

Subgroups — #33979784

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624505C211yesmaximal, characteristic, complemented
2#22623876C211yesmaximal, characteristic, complemented
3#22622998C211yesmaximal, characteristic, complemented
4#22622942C211yesmaximal, characteristic, complemented
5#22622679C211yesmaximal, characteristic, complemented
6#22622583C211yesmaximal, characteristic, complemented
7#22622232C211yesmaximal, characteristic, complemented
8#22622193C211yesmaximal, characteristic, complemented
9#22622182C211yesmaximal, characteristic, complemented
10#22621895C211yesmaximal, characteristic, complemented
11#22621782C211yesmaximal, characteristic, complemented
12#22621635C211yesmaximal, characteristic, complemented
13#22621551C211yesmaximal, characteristic, complemented
14#22621539C211yesmaximal, characteristic, complemented
15#22621535C211yesmaximal, characteristic, complemented
16#22621459C211yesmaximal, characteristic, complemented
17#22621431C211yesmaximal, characteristic, complemented
18#22621376C211yesmaximal, characteristic, complemented
19#22621345C211yesmaximal, characteristic, complemented
20#22621328C211yesmaximal, characteristic, complemented
21#22621044C211yesmaximal, characteristic, complemented
22#22620982C211yesmaximal, characteristic, complemented
23#22620910C211yesmaximal, characteristic, complemented
24#22620170C211yesmaximal, characteristic, complemented
25#22620143C211yesmaximal, characteristic, complemented
26#22619975C211yesmaximal, characteristic, complemented
27#22619467C211yesmaximal, characteristic, complemented
28#22619446C211yesmaximal, characteristic, complemented
29#22619394C211yesmaximal, characteristic, complemented
30#22619073C211yesmaximal, characteristic, complemented
31C73×#3317C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556616C2211yescharacteristic
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic
37C22×#11924017C2211yescharacteristic, complemented
38#17989332—21no—
39#17989324—21no—
40#17989323C2211yescharacteristic, complemented
41#17989322C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989290—21no—
45#17989281C2211yescharacteristic
46#17989280—21no—
47#17989266—21no—
48#17989262—21no—
49#17989261—21no—
50#17989246C2211yescharacteristic
51#17989243C2211yescharacteristic, complemented
52#17989238C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989234C2211yescharacteristic, complemented
55#17989229—21no—
56#17989228C2211yescharacteristic
57#17989228C2211yescharacteristic
58#17989225C2211yescharacteristic, complemented
59D4×D292C2211yescharacteristic, complemented
60#17989210C2211yescharacteristic, complemented
61#17989195C2211yescharacteristic, complemented
62#17989193C2211yescharacteristic
63#17989191—21no—
64#17989190C2211yescharacteristic, complemented
65#17989185—21no—
66#17989179—21no—
67#17989176—21no—
68#17989174—21no—
69#17989169—21no—
70#17989158C2211yescharacteristic, complemented
71#17989150C2211yescharacteristic, complemented
72#17989133C2211yescharacteristic, complemented
73#17989123C2211yescharacteristic, complemented
74#17989118C2211yescharacteristic, complemented
75#17989117C2211yescharacteristic
76#17989099—21no—
77#123×D73—21no—
78#17989069C2211yescharacteristic
79#17989061C2211yescharacteristic, complemented
80C2×#14556553C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic
83#17988972C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988963C2211yescharacteristic
87#17988945C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic
107#17988838C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic
113#17988819C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988807C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic
124#17988801C2211yescharacteristic
125#17988801C2211yescharacteristic
126#17988801C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988801C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988791C2211yescharacteristic, complemented
137#17988788C2211yescharacteristic, complemented
138#17988787C2211yescharacteristic, complemented
139#17988785C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic
144#17988752C2211yescharacteristic
145#17988748C2211yescharacteristic
146#17988747C2211yescharacteristic, complemented
147#17988742C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic
150#17988733C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic
153#17988732C2211yescharacteristic, complemented
154#17988728C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988720C2211yescharacteristic, complemented
160#17988715C2211yescharacteristic, complemented
161#17988711C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166C4×#11924015C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988667C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988665C2211yescharacteristic, complemented
174#17988663C2211yescharacteristic, complemented
175#17988662C2211yescharacteristic, complemented
176#17988661C2211yescharacteristic, complemented
177C8×C22⋊D73C2211yescharacteristic, complemented
178#17988649C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988613C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988610C2211yescharacteristic, complemented
184#17988595C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988585C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556619—42no—
214#14556618—42no—
215#14556616—42no—
216#14556616—42no—
217#14556612—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017—42no—
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924012C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556589C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556588C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586D411yescharacteristic
254#14556585—21no—
255#14556585—21no—
256#14556585—21no—
257#14556584—21no—
258#14556584D411yescharacteristic
259#14556583—21no—
260#14556582C2311yescharacteristic
261#14556582C2311yescharacteristic
262#14556581—21no—
263#14556581D411yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556579—21no—
268#14556579C2311yescharacteristic
269#14556578—21no—
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577D411yescharacteristic
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556575—21no—
285#14556575—21no—
286#14556575D411yescharacteristic
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556572—21no—
296#14556572—21no—
297#14556572—21no—
298#14556572—21no—
299#14556572—21no—
300#14556572D411yescharacteristic
301#14556571—21no—
302#14556571—21no—
303#14556571C2311yescharacteristic
304#14556570—21no—
305#14556570—21no—
306#14556570C2311yescharacteristic
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556568—21no—
313#14556568D411yescharacteristic
314#14556567C2311yescharacteristic
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556565C2311yescharacteristic
323#14556565C2311yescharacteristic
324#14556565C2311yescharacteristic
325#14556564—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563D411yescharacteristic
336#14556562—21no—
337#14556562—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346Q8×Dic73C2311yescharacteristic
347C4×Dic146C2311yescharacteristic
348C4×Dic146C2311yescharacteristic
349#14556556C2311yescharacteristic
350C4×D292—21no—
351C4×D292—21no—
352C4×D292—21no—
353C4×D292—21no—
354C4×D292—21no—
355C4×D292C2311yescharacteristic
356D4×Dic73—21no—
357D4×Dic73—21no—
358D4×Dic73—21no—
359D4×Dic73C2311yescharacteristic
360D4×Dic73C2311yescharacteristic
361#14556553—21no—
362#14556553—21no—
363#14556553—21no—
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366#14556553C2311yescharacteristic
367#14556553C2311yescharacteristic
368#14556553C2311yescharacteristic
369#14556553C2311yescharacteristic
370#14556553C2311yescharacteristic
371#14556553C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376#14556551—21no—
377#14556551—21no—
378#14556550C2311yescharacteristic
379#14556549—21no—
380#14556548—21no—
381#14556548—21no—
382#14556548C2311yescharacteristic
383#14556547—21no—
384C2×#11924007—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C2×C4×Dic73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×#41×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448#127×C73—21no—
449#127×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73—21no—
452#125×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—22no—
488#11924029—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—82no—
492#11924027—41no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—41no—
497C2×Dic146—41no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×D292—22no—
502C2×D292—22no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—82no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—82no—
548C2×C4×D73C2411yescharacteristic
549#11924018—41no—
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924015—22no—
558#11924015—41no—
559#11924015—41no—
560#11924015—41no—
561D584—22no—
562D584—41no—
563D584—41no—
564#11924013—22no—
565#11924013—22no—
566#11924013—41no—
567#11924013—41no—
568#11924013—41no—
569#11924013—41no—
570#11924012—41no—
571#11924012—41no—
572#11924011—41no—
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C8×D73—41no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654#41×C73—41no—
655#41×C73—41no—
656#41×C73—41no—
657#41×C73—41no—
658C2×Q8×C73C2411yescharacteristic
659C2×Q8×C73C2411yescharacteristic
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73C2×D411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73C2411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674Q16×C73—41no—
675SD16×C73—41no—
676SD16×C73—41no—
677M16×C73—41no—
678C2×C8×C73—41no—
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73C2×D411yescharacteristic
701C22⋊C4×C73C2×D411yescharacteristic
702C42×C73—21no—
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—41no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—42no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—41no—
758C22⋊D73—41no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—41no—
772C2×Dic73—41no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—42no—
792D292—42no—
793D292—42no—
794D292—81no—
795D292—81no—
796D292—81no—
797D292—81no—
798D292H(5,𝔽2)12yes—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—42no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—22no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C2×H(5,𝔽2)11yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73#358411yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—42no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317D7311yescharacteristic, complemented
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552C2×D7311yescharacteristic, complemented
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550C2×D7311yescharacteristic
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490C2×D7311yescharacteristic, complemented
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482C2×D7311yescharacteristic, complemented
995#481C2×D7311yescharacteristic, complemented
996#479—731no—
997#479—731no—
998#479—731no—
999#479C2×D7311yescharacteristic, complemented
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468C2×D7311yescharacteristic, complemented
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460C2×D7311yescharacteristic, complemented
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452C2×D7311yescharacteristic, complemented
1052#452C2×D7311yescharacteristic, complemented
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441C2×D7311yescharacteristic, complemented
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435C2×D7311yescharacteristic, complemented
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417C2×D7311yescharacteristic, complemented
1096#416C2×D7311yescharacteristic, complemented
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41C22×D7311yescharacteristic
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—21no—
1150#127—731no—
1151#127—731no—
1152#127C22×D7311yescharacteristic
1153#126—21no—
1154#126—731no—
1155#126—731no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—21no—
1165#125—731no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#123—21no—
1185#123—731no—
1186#123—731no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8C22×D7311yescharacteristic
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8C22×D7311yescharacteristic
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—21no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4C22×D7311yescharacteristic
1296#117—21no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—5842no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—1461no—
1420C2×D4—1462no—
1421C2×D4—1462no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4D4×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—5842no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—41no—
1468SD16—41no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—2921no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—731no—
1596C42—731no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—731no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—2921no—
1624Q8—5841no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—2922no—
1645D4—2921no—
1646D4—2921no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—732no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2922no—
1680C2×C4—2921no—
1681C2×C4—2921no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—5841no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—731no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—5844no—
1747C22—11682no—
1748C22—11682no—
1749C22—1462no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—2922no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359411yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3317C2
socleC22×C73C23×D4
hypercenter#3317D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #22624505C2semidirect
2. #22623876C2semidirect
3. #22622998C2semidirect
4. #22622942C2semidirect
5. #22622679C2semidirect
6. #22622583C2semidirect
7. #22622232C2semidirect
8. #22622193C2semidirect
9. #22622182C2semidirect
10. #22621895C2semidirect
11. #22621782C2semidirect
12. #22621635C2semidirect
13. #22621551C2semidirect
14. #22621539C2semidirect
15. #22621535C2semidirect
16. #22621459C2semidirect
17. #22621431C2semidirect
18. #22621376C2semidirect
19. #22621345C2semidirect
20. #22621328C2semidirect
21. #22621044C2semidirect
22. #22620982C2semidirect
23. #22620910C2semidirect
24. #22620170C2semidirect
25. #22620143C2semidirect
26. #22619975C2semidirect
27. #22619467C2semidirect
28. #22619446C2semidirect
29. #22619394C2semidirect
30. #22619073C2semidirect
31. C73×#3317C2semidirect
35. C2×#14556616C22semidirect
37. C22×#11924017C22semidirect
40. #17989323C22semidirect
41. #17989322C22semidirect
42. #17989309C22semidirect
43. #17989293C22semidirect
51. #17989243C22semidirect
53. #17989236C22semidirect
54. #17989234C22semidirect
58. #17989225C22semidirect
59. D4×D292C22semidirect
60. #17989210C22semidirect
61. #17989195C22semidirect
64. #17989190C22semidirect
70. #17989158C22semidirect
71. #17989150C22semidirect
72. #17989133C22semidirect
73. #17989123C22semidirect
74. #17989118C22semidirect
79. #17989061C22semidirect
80. C2×#14556553C22semidirect
81. #17988980C22semidirect
83. #17988972C22semidirect
84. #17988968C22semidirect
85. #17988968C22semidirect
87. #17988945C22semidirect
88. #17988944C22semidirect
89. #17988943C22semidirect
90. #17988940C22semidirect
91. #17988936C22semidirect
92. #17988922C22semidirect
93. #17988921C22semidirect
94. #17988919C22semidirect
95. #17988911C22semidirect
96. #17988896C22semidirect
97. #17988893C22semidirect
98. #17988891C22semidirect
99. #17988890C22semidirect
100. #17988886C22semidirect
101. #17988886C22semidirect
102. #17988885C22semidirect
103. #17988876C22semidirect
104. #17988865C22semidirect
105. #17988843C22semidirect
107. #17988838C22semidirect
108. #17988836C22semidirect
109. #17988835C22semidirect
110. #17988834C22semidirect
111. #17988833C22semidirect
113. #17988819C22semidirect
114. #17988817C22semidirect
115. #17988812C22semidirect
116. #17988809C22semidirect
117. #17988807C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988804C22semidirect
122. #17988804C22semidirect
126. #17988801C22semidirect
127. #17988801C22semidirect
128. #17988801C22semidirect
129. #17988801C22semidirect
130. #17988801C22semidirect
131. #17988795C22semidirect
132. #17988791C22semidirect
133. #17988791C22semidirect
134. #17988791C22semidirect
135. #17988791C22semidirect
136. #17988791C22semidirect
137. #17988788C22semidirect
138. #17988787C22semidirect
139. #17988785C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
146. #17988747C22semidirect
147. #17988742C22semidirect
148. #17988740C22semidirect
150. #17988733C22semidirect
151. #17988733C22semidirect
153. #17988732C22semidirect
154. #17988728C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
159. #17988720C22semidirect
160. #17988715C22semidirect
161. #17988711C22semidirect
162. #17988698C22semidirect
163. #17988696C22semidirect
164. #17988689C22semidirect
165. C4×#11924018C22semidirect
166. C4×#11924015C22semidirect
167. #17988674C22semidirect
168. #17988674C22semidirect
171. #17988667C22semidirect
172. #17988667C22semidirect
173. #17988665C22semidirect
174. #17988663C22semidirect
175. #17988662C22semidirect
176. #17988661C22semidirect
177. C8×C22⋊D73C22semidirect
178. #17988649C22semidirect
179. #17988645C22semidirect
180. #17988637C22semidirect
181. #17988613C22semidirect
182. #17988612C22semidirect
183. #17988610C22semidirect
184. #17988595C22semidirect
185. #17988586C22semidirect
186. #17988585C22semidirect
187. #102×D73C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #479×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #441×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
904. #3317D73semidirect
926. C73#62027semidirect
942. #552C2×D73semidirect
984. #490C2×D73semidirect
994. #482C2×D73semidirect
995. #481C2×D73semidirect
999. #479C2×D73semidirect
1013. #468C2×D73semidirect
1017. #465C2×D73semidirect
1043. #460C2×D73semidirect
1051. #452C2×D73semidirect
1052. #452C2×D73semidirect
1070. #441C2×D73semidirect
1084. #435C2×D73semidirect
1095. #417C2×D73semidirect
1096. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245052
#226238762
#226229982
#226229422
#226226792
#226225832
#226222322
#226221932
#226221822
#226218952
#226217822
#226216352
#226215512
#226215392
#226215352
#226214592
#226214312
#226213762
#226213452
#226213282
#226210442
#226209822
#226209102
#226201702
#226201432
#226199752
#226194672
#226194462
#226193942
#226190732
C73×#33172
#6202773