Finite Group Databasebeta

← #33979677

Subgroups — #33979677

Order 18688.

1856 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#22624304C211yesmaximal, characteristic, complemented
2#22624006C211yesmaximal, characteristic, complemented
3#22623005C211yesmaximal, characteristic, complemented
4#22622952C211yesmaximal, characteristic, complemented
5#22622753C211yesmaximal, characteristic, complemented
6#22622641C211yesmaximal, characteristic, complemented
7#22621970C211yesmaximal, characteristic, complemented
8#22621946C211yesmaximal, characteristic, complemented
9#22621938C211yesmaximal, characteristic, complemented
10#22621866C211yesmaximal, characteristic, complemented
11#22621779C211yesmaximal, characteristic, complemented
12#22621654C211yesmaximal, characteristic, complemented
13#22621613C211yesmaximal, characteristic, complemented
14#22621474C211yesmaximal, characteristic, complemented
15#22621463C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621416C211yesmaximal, characteristic, complemented
18#22621397C211yesmaximal, characteristic, complemented
19#22621360C211yesmaximal, characteristic, complemented
20#22621256C211yesmaximal, characteristic, complemented
21#22621031C211yesmaximal, characteristic, complemented
22#22621001C211yesmaximal, characteristic, complemented
23#22620971C211yesmaximal, characteristic, complemented
24#22620196C211yesmaximal, characteristic, complemented
25#22620118C211yesmaximal, characteristic, complemented
26#22620080C211yesmaximal, characteristic, complemented
27#22619469C211yesmaximal, characteristic, complemented
28#22619437C211yesmaximal, characteristic, complemented
29#22619389C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3315C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556616C2211yescharacteristic, complemented
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556614C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic, complemented
37C22×D584C2211yescharacteristic
38#17989327—21no—
39#17989327—21no—
40#17989311C2211yescharacteristic, complemented
41#17989309C2211yescharacteristic, complemented
42#17989305C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989285—21no—
45#17989285C2211yescharacteristic, complemented
46#17989281—21no—
47#17989275—21no—
48#17989265—21no—
49#17989262—21no—
50#17989258C2211yescharacteristic, complemented
51#17989256C2211yescharacteristic
52#17989256C2211yescharacteristic, complemented
53#17989239C2211yescharacteristic, complemented
54#17989234—21no—
55#17989233C2211yescharacteristic
56#17989228C2211yescharacteristic
57#17989228C2211yescharacteristic, complemented
58#17989228C2211yescharacteristic, complemented
59D4×D292C2211yescharacteristic
60#17989210C2211yescharacteristic
61#17989210C2211yescharacteristic, complemented
62#17989210C2211yescharacteristic, complemented
63#17989197C2211yescharacteristic, complemented
64#17989185—21no—
65#17989173—21no—
66#17989173—21no—
67#17989173—21no—
68#17989168—21no—
69#17989153—21no—
70#17989151C2211yescharacteristic
71#17989151C2211yescharacteristic, complemented
72#17989138C2211yescharacteristic, complemented
73#17989134C2211yescharacteristic, complemented
74#17989122C2211yescharacteristic, complemented
75#17989119C2211yescharacteristic
76#17989115—21no—
77#126×D73—21no—
78#17989068C2211yescharacteristic, complemented
79#17989061C2211yescharacteristic, complemented
80C4×#11924029C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988979C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic
84#17988973C2211yescharacteristic, complemented
85#17988972C2211yescharacteristic
86#17988958C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988948C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic
94#17988910C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic, complemented
96#17988892C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic
107#17988835C2211yescharacteristic
108#17988824C2211yescharacteristic
109#17988822C2211yescharacteristic, complemented
110#17988818C2211yescharacteristic, complemented
111#17988818C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic
114#17988815C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic
122#17988805C2211yescharacteristic
123#17988805C2211yescharacteristic
124#17988805C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic, complemented
127#17988805C2211yescharacteristic, complemented
128#17988805C2211yescharacteristic, complemented
129#17988803C2211yescharacteristic
130#17988802C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988789C2211yescharacteristic, complemented
134#17988787C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988783C2211yescharacteristic
139#17988781C2211yescharacteristic
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic, complemented
145#17988752C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988747C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic
149#17988737C2211yescharacteristic
150#17988737C2211yescharacteristic, complemented
151#17988737C2211yescharacteristic, complemented
152#17988735C2211yescharacteristic
153#17988735C2211yescharacteristic, complemented
154#17988735C2211yescharacteristic, complemented
155#17988734C2211yescharacteristic
156#17988732C2211yescharacteristic, complemented
157#17988731C2211yescharacteristic, complemented
158#17988723C2211yescharacteristic
159#17988723C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic
163#17988698C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988690C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988669C2211yescharacteristic, complemented
172#17988669C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988642C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988613C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic
185#17988582C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213#14556619—42no—
214#14556616—42no—
215#14556614—42no—
216#14556614—42no—
217#14556611—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×D584—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556588C2311yescharacteristic
248#14556587—21no—
249#14556587—21no—
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556586—21no—
261#14556585—21no—
262#14556585—21no—
263#14556584—21no—
264#14556584—21no—
265#14556584—21no—
266#14556584D411yescharacteristic
267#14556584D411yescharacteristic
268#14556582—21no—
269#14556582D411yescharacteristic
270#14556582C2311yescharacteristic
271#14556581—21no—
272#14556580C2311yescharacteristic
273#14556580C2311yescharacteristic
274#14556580C2311yescharacteristic
275#14556580C2311yescharacteristic
276#14556580C2311yescharacteristic
277#14556579C2311yescharacteristic
278#14556578D411yescharacteristic
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573D411yescharacteristic
296#14556573D411yescharacteristic
297#14556571—21no—
298#14556571—21no—
299#14556571—21no—
300#14556571—21no—
301#14556571—21no—
302#14556571D411yescharacteristic
303#14556571C2311yescharacteristic
304#14556570C2311yescharacteristic
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565—21no—
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556565—21no—
322#14556565—21no—
323#14556565—21no—
324#14556565C2311yescharacteristic
325#14556565C2311yescharacteristic
326#14556565C2311yescharacteristic
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562D411yescharacteristic
335#14556562C2311yescharacteristic
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346Q8×Dic73C2311yescharacteristic
347Q8×Dic73C2311yescharacteristic
348Q8×Dic73C2311yescharacteristic
349C4×Dic146—21no—
350C4×Dic146C2311yescharacteristic
351#14556556C2311yescharacteristic
352#14556556C2311yescharacteristic
353C4×D292—21no—
354C4×D292—21no—
355C4×D292—21no—
356C4×D292C2311yescharacteristic
357C4×D292C2311yescharacteristic
358#14556553—21no—
359#14556553—21no—
360#14556553—21no—
361#14556553—21no—
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366#14556553C2311yescharacteristic
367#14556553C2311yescharacteristic
368#14556553C2311yescharacteristic
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377#14556550C2311yescharacteristic
378#14556550C2311yescharacteristic
379#14556549—21no—
380#14556549—21no—
381#14556549—21no—
382#14556549—21no—
383#14556549C2311yescharacteristic
384#14556548—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
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
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×#41×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#126×C73—21no—
450#125×C73—21no—
451#125×C73C2311yescharacteristic
452#123×C73—21no—
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73—21no—
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463#117×C73—21no—
464#117×C73C2311yescharacteristic
465C2×C4⋊C4×C73—21no—
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×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#11924029—41no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924028—22no—
494#11924028—41no—
495#11924028—82no—
496#11924028—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×D292—22no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292—41no—
515C2×D292—41no—
516C2×D292—41no—
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73C2×D411yescharacteristic
534C2×C22⋊D73C2×D411yescharacteristic
535D4×D73—82no—
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—21no—
548C2×C4×D73—21no—
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552#11924018—41no—
553#11924018—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924016—41no—
558#11924015—22no—
559#11924015—22no—
560#11924015—41no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564#11924015—41no—
565D584—22no—
566D584—22no—
567D584—22no—
568D584—41no—
569D584—41no—
570D584—41no—
571#11924013—22no—
572#11924013—41no—
573#11924012—41no—
574C2×#10596831—41no—
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C8×D73—41no—
580C8×D73—41no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613#11924005—21no—
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#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
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×Q8×C73C2411yescharacteristic
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2×D411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—41no—
672Q16×C73—41no—
673SD16×C73—41no—
674M16×C73—41no—
675C2×C8×C73—41no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
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×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73C22×D411yescharacteristic
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
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—21no—
729Q8×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—41no—
733D4×C73—81no—
734D4×C73—81no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
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—42no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—41no—
756C22⋊D73—41no—
757C22⋊D73—42no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—42no—
788D292—42no—
789D292—42no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796D292—81no—
797D292H(5,𝔽2)12yes—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
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—
814C4×D73—81no—
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×C73C23×D411yescharacteristic
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—22no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
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—162no—
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×C73—41no—
870C4×C73C2×H(5,𝔽2)11yescharacteristic
871C4×C73#58511yescharacteristic
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—21no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62024—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73#348811yescharacteristic
887C2×C73#358411yescharacteristic
888C2×C73#358511yescharacteristic
889D73—41no—
890D73—42no—
891D73—81no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3546—731no—
896#3521—731no—
897#3402—731no—
898#3397—731no—
899#3376—731no—
900#3366—731no—
901#3315D7311yescharacteristic, complemented
902#3311—731no—
903#3310—731no—
904#3309—731no—
905#3304—731no—
906#3297—731no—
907#3284—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3267—731no—
912#3264—731no—
913#3263—731no—
914#3258—731no—
915#3247—731no—
916#3224—731no—
917#3222—731no—
918#3219—731no—
919#3124—731no—
920#3118—731no—
921#3115—731no—
922#3045—731no—
923#3041—731no—
924#3035—731no—
925#2992—731no—
926C73#6202411yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×#135—731no—
930C2×#135—731no—
931C2×#135—731no—
932C22×D8—731no—
933#560—1461no—
934#560—1461no—
935#556—731no—
936#556—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—1461no—
943#552C2×D7311yescharacteristic
944#551—1461no—
945#551—1461no—
946#550—731no—
947#550—731no—
948#550—731no—
949#547—731no—
950#547C2×D7311yescharacteristic
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#542—731no—
959#542—731no—
960#541—731no—
961#539—1461no—
962#538—1461no—
963#538—1461no—
964#538—1461no—
965#537—1461no—
966#535—731no—
967#535—731no—
968#535—1461no—
969#532—731no—
970#532—731no—
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#126—1461no—
975#520—731no—
976#518—731no—
977C4×#41—731no—
978#497—731no—
979#497—731no—
980#496—731no—
981#496—731no—
982#495—731no—
983#492—731no—
984#491C2×D7311yescharacteristic, complemented
985#490—731no—
986#490—731no—
987#489—731no—
988#488—731no—
989#486—731no—
990#485C2×D7311yescharacteristic, complemented
991#484C2×D7311yescharacteristic, complemented
992#482—731no—
993#482—731no—
994#482—731no—
995#480—731no—
996#479—731no—
997#478—731no—
998#478—731no—
999#478C2×D7311yescharacteristic, complemented
1000#477—731no—
1001#476—731no—
1002#476—731no—
1003#475—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#470C2×D7311yescharacteristic, complemented
1008#469—731no—
1009#468—731no—
1010#467C2×D7311yescharacteristic, complemented
1011#466—731no—
1012#466—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464—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#462C2×D7311yescharacteristic, complemented
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—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#452C2×D7311yescharacteristic, complemented
1053#452C2×D7311yescharacteristic, complemented
1054#450—731no—
1055#450—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#440—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440C2×D7311yescharacteristic, complemented
1076C4×Q16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435C2×D7311yescharacteristic
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8—731no—
1092#418—731no—
1093#417C2×D7311yescharacteristic, complemented
1094#416—731no—
1095#416—731no—
1096#416C2×D7311yescharacteristic, complemented
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41C22×D7311yescharacteristic
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112#135—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
1118C2×Q16C22×D7311yescharacteristic
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×SD16—731no—
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—2922no—
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×M16C22×D7311yescharacteristic
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8C22×D7311yescharacteristic
1150#127—731no—
1151#127—731no—
1152#127—731no—
1153#127—731no—
1154#127—1461no—
1155#127—1461no—
1156#126—21no—
1157#126—731no—
1158#126—731no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#125—21no—
1173#125—731no—
1174#125—731no—
1175#125—1461no—
1176#125—1461no—
1177#125C22×D7311yescharacteristic
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—731no—
1184#124—731no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—731no—
1194#123—731no—
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—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8C22×D7311yescharacteristic
1218C22⋊Q8C22×D7311yescharacteristic
1219C22⋊Q8C22×D7311yescharacteristic
1220C22⋊Q8C22×D7311yescharacteristic
1221#121—21no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
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#120—1461no—
1251#120—1461no—
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×Q8—1461no—
1267C4×Q8C22×D7311yescharacteristic
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—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×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294#117—21no—
1295#117—731no—
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—21no—
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×C42—731no—
1316C2×C42—1461no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106—731no—
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#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
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#102—731no—
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—
1375#97—731no—
1376#97C22×D7311yescharacteristic
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—2921no—
1392#41—5842no—
1393#41—5842no—
1394#41—1462no—
1395#41—1462no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×Q8C23×D7311yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—2921no—
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—731no—
1418C2×D4—1461no—
1419C2×D4—1462no—
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—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4D4×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
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—41no—
1465Q16—41no—
1466Q16—2921no—
1467Q16—2921no—
1468SD16—41no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—1462no—
1479SD16—1462no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490C2×C8—41no—
1491C2×C8—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—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
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—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1586C22⋊C4D4×D7311yescharacteristic
1587C42—21no—
1588C42—21no—
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—2922no—
1603C23—5841no—
1604C23—5841no—
1605C23—5841no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—731no—
1612C23—1461no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—2921no—
1626Q8—5841no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—81no—
1634D4—81no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2921no—
1640D4—2921no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
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—
1666D4—1461no—
1667D4—1461no—
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—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—42no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2921no—
1686C2×C4—2921no—
1687C2×C4—2922no—
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—5841no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—731no—
1704C2×C4—731no—
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—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—11682no—
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—41no—
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—2922no—
1781C2—2921no—
1782C2—5841no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359411yescharacteristic
1787C2#2262470111yescharacteristic
1788C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3315C2
socleC22×C73C23×D4
hypercenter#3315D73
hypocenterC73#62024
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #22624304C2semidirect
2. #22624006C2semidirect
3. #22623005C2semidirect
4. #22622952C2semidirect
5. #22622753C2semidirect
6. #22622641C2semidirect
7. #22621970C2semidirect
8. #22621946C2semidirect
9. #22621938C2semidirect
10. #22621866C2semidirect
11. #22621779C2semidirect
12. #22621654C2semidirect
13. #22621613C2semidirect
14. #22621474C2semidirect
15. #22621463C2semidirect
16. #22621457C2semidirect
17. #22621416C2semidirect
18. #22621397C2semidirect
19. #22621360C2semidirect
20. #22621256C2semidirect
21. #22621031C2semidirect
22. #22621001C2semidirect
23. #22620971C2semidirect
24. #22620196C2semidirect
25. #22620118C2semidirect
26. #22620080C2semidirect
27. #22619469C2semidirect
28. #22619437C2semidirect
29. #22619389C2semidirect
30. #22619066C2semidirect
31. C73×#3315C2semidirect
33. C2×#14556616C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556614C22semidirect
36. C2×#14556611C22semidirect
40. #17989311C22semidirect
41. #17989309C22semidirect
42. #17989305C22semidirect
43. #17989293C22semidirect
45. #17989285C22semidirect
50. #17989258C22semidirect
52. #17989256C22semidirect
53. #17989239C22semidirect
57. #17989228C22semidirect
58. #17989228C22semidirect
61. #17989210C22semidirect
62. #17989210C22semidirect
63. #17989197C22semidirect
71. #17989151C22semidirect
72. #17989138C22semidirect
73. #17989134C22semidirect
74. #17989122C22semidirect
78. #17989068C22semidirect
79. #17989061C22semidirect
80. C4×#11924029C22semidirect
81. #17988980C22semidirect
82. #17988979C22semidirect
84. #17988973C22semidirect
86. #17988958C22semidirect
87. #17988953C22semidirect
88. #17988950C22semidirect
89. #17988948C22semidirect
90. #17988943C22semidirect
91. #17988932C22semidirect
92. #17988914C22semidirect
94. #17988910C22semidirect
95. #17988900C22semidirect
96. #17988892C22semidirect
97. #17988890C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988876C22semidirect
101. #17988876C22semidirect
102. #17988870C22semidirect
103. #17988870C22semidirect
104. #17988866C22semidirect
105. #17988843C22semidirect
109. #17988822C22semidirect
110. #17988818C22semidirect
111. #17988818C22semidirect
112. #17988817C22semidirect
114. #17988815C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988812C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988811C22semidirect
124. #17988805C22semidirect
125. #17988805C22semidirect
126. #17988805C22semidirect
127. #17988805C22semidirect
128. #17988805C22semidirect
130. #17988802C22semidirect
131. #17988795C22semidirect
132. #17988791C22semidirect
133. #17988789C22semidirect
134. #17988787C22semidirect
135. #17988786C22semidirect
136. #17988786C22semidirect
137. #17988785C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
143. #17988781C22semidirect
144. #17988752C22semidirect
145. #17988752C22semidirect
146. #17988749C22semidirect
147. #17988747C22semidirect
150. #17988737C22semidirect
151. #17988737C22semidirect
153. #17988735C22semidirect
154. #17988735C22semidirect
156. #17988732C22semidirect
157. #17988731C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988698C22semidirect
164. #17988697C22semidirect
165. #17988690C22semidirect
166. #17988690C22semidirect
167. #17988686C22semidirect
168. #17988685C22semidirect
169. #17988679C22semidirect
170. #17988672C22semidirect
171. #17988669C22semidirect
172. #17988669C22semidirect
173. #17988661C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988645C22semidirect
179. #17988645C22semidirect
180. #17988642C22semidirect
181. #17988615C22semidirect
182. #17988613C22semidirect
183. C4⋊C8×D73C22semidirect
185. #17988582C22semidirect
186. #17988582C22semidirect
187. C2×#14556511C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #478×C73C22semidirect
194. #470×C73C22semidirect
195. #467×C73C22semidirect
196. #462×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #440×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
901. #3315D73semidirect
926. C73#62024semidirect
984. #491C2×D73semidirect
990. #485C2×D73semidirect
991. #484C2×D73semidirect
999. #478C2×D73semidirect
1007. #470C2×D73semidirect
1010. #467C2×D73semidirect
1035. #462C2×D73semidirect
1052. #452C2×D73semidirect
1053. #452C2×D73semidirect
1075. #440C2×D73semidirect
1093. #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
#226243042
#226240062
#226230052
#226229522
#226227532
#226226412
#226219702
#226219462
#226219382
#226218662
#226217792
#226216542
#226216132
#226214742
#226214632
#226214572
#226214162
#226213972
#226213602
#226212562
#226210312
#226210012
#226209712
#226201962
#226201182
#226200802
#226194692
#226194372
#226193892
#226190662
C73×#33152
#6202473