Finite Group Databasebeta

← #33979792

Subgroups — #33979792

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#22624524C211yesmaximal, characteristic, complemented
2#22623866C211yesmaximal, characteristic, complemented
3#22623004C211yesmaximal, characteristic, complemented
4#22622943C211yesmaximal, characteristic, complemented
5#22622691C211yesmaximal, characteristic, complemented
6#22622585C211yesmaximal, characteristic, complemented
7#22622202C211yesmaximal, characteristic, complemented
8#22622185C211yesmaximal, characteristic, complemented
9#22622058C211yesmaximal, characteristic, complemented
10#22621886C211yesmaximal, characteristic, complemented
11#22621779C211yesmaximal, characteristic, complemented
12#22621641C211yesmaximal, characteristic, complemented
13#22621544C211yesmaximal, characteristic, complemented
14#22621543C211yesmaximal, characteristic, complemented
15#22621539C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621433C211yesmaximal, characteristic, complemented
18#22621373C211yesmaximal, characteristic, complemented
19#22621349C211yesmaximal, characteristic, complemented
20#22621328C211yesmaximal, characteristic, complemented
21#22621043C211yesmaximal, characteristic, complemented
22#22620979C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620171C211yesmaximal, characteristic, complemented
25#22620140C211yesmaximal, characteristic, complemented
26#22619981C211yesmaximal, characteristic, complemented
27#22619469C211yesmaximal, characteristic, complemented
28#22619438C211yesmaximal, characteristic, complemented
29#22619394C211yesmaximal, characteristic, complemented
30#22619077C211yesmaximal, characteristic, complemented
31C73×#3330C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989334—21no—
39#17989325—21no—
40#17989320C2211yescharacteristic, complemented
41#17989320C2211yescharacteristic, complemented
42#17989311C2211yescharacteristic, complemented
43#17989298C2211yescharacteristic, complemented
44#17989285—21no—
45#17989285C2211yescharacteristic
46#17989282—21no—
47#17989272C2211yescharacteristic, complemented
48#17989265—21no—
49#17989264—21no—
50#17989260—21no—
51#17989256C2211yescharacteristic
52#17989247C2211yescharacteristic
53#17989244C2211yescharacteristic, complemented
54#17989234C2211yescharacteristic
55#17989233C2211yescharacteristic
56#17989233C2211yescharacteristic, complemented
57#17989228C2211yescharacteristic, complemented
58#17989225—21no—
59#17989221C2211yescharacteristic, complemented
60#17989211C2211yescharacteristic, complemented
61#17989197C2211yescharacteristic, complemented
62#17989190C2211yescharacteristic
63#17989189—21no—
64#17989188C2211yescharacteristic, complemented
65#17989184—21no—
66#17989183—21no—
67#17989173—21no—
68#17989173—21no—
69#17989169—21no—
70#17989162C2211yescharacteristic, complemented
71#17989151C2211yescharacteristic, complemented
72#17989133C2211yescharacteristic, complemented
73#17989123C2211yescharacteristic, complemented
74#17989118C2211yescharacteristic, complemented
75#17989117C2211yescharacteristic
76#17989094—21no—
77#123×D73—21no—
78#17989068C2211yescharacteristic
79#17989059C2211yescharacteristic, complemented
80C2×#14556553C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988970C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic
87#17988950C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic
108#17988834C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic
112#17988818C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988807C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic
119#17988805C2211yescharacteristic
120#17988805C2211yescharacteristic
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic
125#17988803C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988801C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988789C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988786C2211yescharacteristic, complemented
139#17988785C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic
142#17988781C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic
146#17988751C2211yescharacteristic, complemented
147#17988749C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic
149#17988744C2211yescharacteristic, complemented
150#17988737C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic
152#17988732C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic
154#17988727C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic
156#17988723C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161C8×Dic146C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988681C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170C4×D584C2211yescharacteristic
171#17988669C2211yescharacteristic
172#17988669C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988659C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988646C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988610C2211yescharacteristic, complemented
184#17988594C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic, complemented
188#547×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic, complemented
190#487×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556619—42no—
213#14556619—42no—
214#14556618—42no—
215#14556616—42no—
216#14556611—42no—
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230SD16×D73—42no—
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587—21no—
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586D411yescharacteristic
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584D411yescharacteristic
259#14556582—21no—
260#14556582C2311yescharacteristic
261#14556582C2311yescharacteristic
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581—21no—
265#14556581D411yescharacteristic
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556578—21no—
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577D411yescharacteristic
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556575—21no—
288#14556575D411yescharacteristic
289#14556574—21no—
290#14556574—21no—
291#14556574—21no—
292#14556574—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556572—21no—
299#14556572D411yescharacteristic
300#14556571—21no—
301#14556571—21no—
302#14556571C2311yescharacteristic
303#14556570—21no—
304#14556570C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556568D411yescharacteristic
310#14556567—21no—
311#14556567—21no—
312#14556567—21no—
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565—21no—
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556565C2311yescharacteristic
322#14556565C2311yescharacteristic
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563D411yescharacteristic
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562C2311yescharacteristic
337#14556561—21no—
338#14556561—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345Q8×Dic73C2311yescharacteristic
346Q8×Dic73C2311yescharacteristic
347C4×Dic146C2311yescharacteristic
348#14556556C2311yescharacteristic
349#14556556C2311yescharacteristic
350#14556556C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355#14556553—21no—
356#14556553—21no—
357#14556553—21no—
358#14556553C2311yescharacteristic
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376#14556551—21no—
377#14556551—21no—
378#14556550—21no—
379#14556550C2311yescharacteristic
380#14556549—21no—
381#14556549—21no—
382#14556549—21no—
383#14556549C2311yescharacteristic
384#14556548C2311yescharacteristic
385#14556547—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73—21no—
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#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
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#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C2×#41×C73C2311yescharacteristic
443C2×#41×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448C2×M16×C73C2311yescharacteristic
449C4⋊Q8×C73C2311yescharacteristic
450C4⋊Q8×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—41no—
488#11924029—41no—
489#11924028—22no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—41no—
498Q8×D73—41no—
499C2×D292—22no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292—41no—
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
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—22no—
527D4×D73—41no—
528D4×D73—82no—
529C22×Dic73—21no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
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—82no—
545C2×C4×D73C2411yescharacteristic
546Dic292—41no—
547#11924018—41no—
548#11924018—41no—
549#11924017—22no—
550#11924017—41no—
551#11924017—41no—
552#11924017—41no—
553#11924016—41no—
554#11924016—41no—
555#11924015—22no—
556#11924015—22no—
557#11924015—41no—
558#11924015—41no—
559D584—22no—
560D584—22no—
561D584—41no—
562D584—41no—
563#11924013—22no—
564#11924013—41no—
565#11924013—41no—
566#11924013—41no—
567#11924012—41no—
568#11924011—41no—
569C2×#10596831—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—41no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
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#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
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#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653#41×C73—41no—
654#41×C73—41no—
655#41×C73—41no—
656#41×C73—41no—
657#41×C73—82no—
658C2×Q8×C73—21no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676SD16×C73—41no—
677SD16×C73—41no—
678D8×C73—41no—
679M16×C73—41no—
680M16×C73—41no—
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
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—
728Q8×C73—81no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—41no—
734D4×C73—42no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738C2×C4×C73—21no—
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—42no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C2511yescharacteristic
759C22⋊D73—41no—
760C22⋊D73—41no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—41no—
778C2×Dic73—41no—
779C2×Dic73—81no—
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—42no—
795D292—81no—
796D292—81no—
797D292—81no—
798D292—81no—
799D292H(5,𝔽2)12yes—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—42no—
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—
813C4×D73—81no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
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#3330D7311yescharacteristic, complemented
902#3327—731no—
903#3326—731no—
904#3317—731no—
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#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547C2×D7311yescharacteristic
950#547C2×D7311yescharacteristic, complemented
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#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487C2×D7311yescharacteristic, complemented
990#484C2×D7311yescharacteristic, complemented
991#484C2×D7311yescharacteristic, complemented
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476—731no—
1005#474C2×D7311yescharacteristic, complemented
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468C2×D7311yescharacteristic, complemented
1013#468C2×D7311yescharacteristic, complemented
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
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#461C2×D7311yescharacteristic, complemented
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449C2×D7311yescharacteristic, complemented
1059#449C2×D7311yescharacteristic, complemented
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#441—731no—
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×D8C2×D7311yescharacteristic, complemented
1080#436—731no—
1081#436—731no—
1082#436C2×D7311yescharacteristic, complemented
1083#435—731no—
1084#435—731no—
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#417C2×D7311yescharacteristic, complemented
1095#417C2×D7311yescharacteristic, complemented
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—21no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
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×Q16—731no—
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×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8C22×D7311yescharacteristic
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—731no—
1154#126—731no—
1155#126—1461no—
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—731no—
1165#125—731no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
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—21no—
1186#123—21no—
1187#123—21no—
1188#123—731no—
1189#123—731no—
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—21no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
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—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
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×Q8—731no—
1265C4×Q8—731no—
1266C4×D4—731no—
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—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4C22×D7311yescharacteristic
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#107C22×D7311yescharacteristic
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
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#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
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#102—731no—
1362#102—731no—
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#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—82no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—2921no—
1395C2×Q8—2921no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—5842no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—1462no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
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—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—5842no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
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—2921no—
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—41no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—41no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—2921no—
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—21no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
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—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
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—81no—
1624Q8—2921no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—2922no—
1640D4—2922no—
1641D4—2921no—
1642D4—2921no—
1643D4—2922no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
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—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—2922no—
1683C2×C4—2921no—
1684C2×C4—2921no—
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#2262470111yescharacteristic
1788C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3330C2
socleC22×C73C23×D4
hypercenter#3330D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #22624524C2semidirect
2. #22623866C2semidirect
3. #22623004C2semidirect
4. #22622943C2semidirect
5. #22622691C2semidirect
6. #22622585C2semidirect
7. #22622202C2semidirect
8. #22622185C2semidirect
9. #22622058C2semidirect
10. #22621886C2semidirect
11. #22621779C2semidirect
12. #22621641C2semidirect
13. #22621544C2semidirect
14. #22621543C2semidirect
15. #22621539C2semidirect
16. #22621457C2semidirect
17. #22621433C2semidirect
18. #22621373C2semidirect
19. #22621349C2semidirect
20. #22621328C2semidirect
21. #22621043C2semidirect
22. #22620979C2semidirect
23. #22620904C2semidirect
24. #22620171C2semidirect
25. #22620140C2semidirect
26. #22619981C2semidirect
27. #22619469C2semidirect
28. #22619438C2semidirect
29. #22619394C2semidirect
30. #22619077C2semidirect
31. C73×#3330C2semidirect
35. C2×#14556616C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989320C22semidirect
41. #17989320C22semidirect
42. #17989311C22semidirect
43. #17989298C22semidirect
47. #17989272C22semidirect
53. #17989244C22semidirect
56. #17989233C22semidirect
57. #17989228C22semidirect
59. #17989221C22semidirect
60. #17989211C22semidirect
61. #17989197C22semidirect
64. #17989188C22semidirect
70. #17989162C22semidirect
71. #17989151C22semidirect
72. #17989133C22semidirect
73. #17989123C22semidirect
74. #17989118C22semidirect
79. #17989059C22semidirect
80. C2×#14556553C22semidirect
81. #17988979C22semidirect
83. #17988971C22semidirect
84. #17988970C22semidirect
85. #17988968C22semidirect
87. #17988950C22semidirect
88. #17988949C22semidirect
89. #17988943C22semidirect
90. #17988943C22semidirect
91. #17988940C22semidirect
92. #17988917C22semidirect
93. #17988914C22semidirect
94. #17988909C22semidirect
95. #17988905C22semidirect
96. #17988896C22semidirect
97. #17988896C22semidirect
98. #17988893C22semidirect
99. #17988893C22semidirect
100. #17988890C22semidirect
101. #17988890C22semidirect
102. #17988890C22semidirect
103. #17988885C22semidirect
104. #17988874C22semidirect
105. #17988843C22semidirect
106. #17988839C22semidirect
108. #17988834C22semidirect
109. #17988833C22semidirect
110. #17988833C22semidirect
112. #17988818C22semidirect
113. #17988815C22semidirect
114. #17988814C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988807C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
125. #17988803C22semidirect
126. #17988802C22semidirect
127. #17988802C22semidirect
128. #17988801C22semidirect
129. #17988801C22semidirect
130. #17988801C22semidirect
131. #17988796C22semidirect
132. #17988791C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988789C22semidirect
136. #17988786C22semidirect
137. #17988786C22semidirect
138. #17988786C22semidirect
139. #17988785C22semidirect
142. #17988781C22semidirect
143. #17988780C22semidirect
144. #17988752C22semidirect
146. #17988751C22semidirect
147. #17988749C22semidirect
149. #17988744C22semidirect
150. #17988737C22semidirect
152. #17988732C22semidirect
154. #17988727C22semidirect
156. #17988723C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988716C22semidirect
161. C8×Dic146C22semidirect
162. #17988697C22semidirect
163. #17988697C22semidirect
164. #17988691C22semidirect
165. #17988686C22semidirect
166. #17988681C22semidirect
167. #17988672C22semidirect
168. #17988672C22semidirect
169. #17988672C22semidirect
172. #17988669C22semidirect
173. #17988663C22semidirect
174. #17988662C22semidirect
175. #17988659C22semidirect
176. #17988656C22semidirect
177. #17988650C22semidirect
178. #17988646C22semidirect
179. #17988645C22semidirect
180. #17988637C22semidirect
181. #17988615C22semidirect
182. #17988612C22semidirect
183. #17988610C22semidirect
184. #17988594C22semidirect
185. #17988586C22semidirect
186. #17988582C22semidirect
187. C2×#14556511C22semidirect
189. #547×C73C22semidirect
190. #487×C73C22semidirect
191. #484×C73C22semidirect
192. #484×C73C22semidirect
193. #474×C73C22semidirect
194. #468×C73C22semidirect
195. #468×C73C22semidirect
196. #461×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #417×C73C22semidirect
202. #417×C73C22semidirect
901. #3330D73semidirect
926. C73#62027semidirect
950. #547C2×D73semidirect
989. #487C2×D73semidirect
990. #484C2×D73semidirect
991. #484C2×D73semidirect
1005. #474C2×D73semidirect
1012. #468C2×D73semidirect
1013. #468C2×D73semidirect
1039. #461C2×D73semidirect
1058. #449C2×D73semidirect
1059. #449C2×D73semidirect
1079. C4×D8C2×D73semidirect
1082. #436C2×D73semidirect
1094. #417C2×D73semidirect
1095. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245242
#226238662
#226230042
#226229432
#226226912
#226225852
#226222022
#226221852
#226220582
#226218862
#226217792
#226216412
#226215442
#226215432
#226215392
#226214572
#226214332
#226213732
#226213492
#226213282
#226210432
#226209792
#226209042
#226201712
#226201402
#226199812
#226194692
#226194382
#226193942
#226190772
C73×#33302
#6202773