Finite Group Databasebeta

← #33971966

Subgroups — #33971966

Order 18688.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624184C211yesmaximal, characteristic, complemented
2#22623604C211yesmaximal, characteristic, complemented
3#22622140C211yesmaximal, characteristic, complemented
4#22622133C211yesmaximal, characteristic, complemented
5#22622098C211yesmaximal, characteristic, complemented
6#22622028C211yesmaximal, characteristic, complemented
7#22621986C211yesmaximal, characteristic, complemented
8#22621900C211yesmaximal, characteristic, complemented
9#22621837C211yesmaximal, characteristic, complemented
10#22621814C211yesmaximal, characteristic, complemented
11#22621655C211yesmaximal, characteristic, complemented
12#22621646C211yesmaximal, characteristic, complemented
13#22621595C211yesmaximal, characteristic, complemented
14#22621571C211yesmaximal, characteristic, complemented
15#22621510C211yesmaximal, characteristic, complemented
16#22621489C211yesmaximal, characteristic, complemented
17#22621475C211yesmaximal, characteristic, complemented
18#22621456C211yesmaximal, characteristic, complemented
19#22621010C211yesmaximal, characteristic, complemented
20#22620988C211yesmaximal, characteristic, complemented
21#22620843C211yesmaximal, characteristic, complemented
22#22620828C211yesmaximal, characteristic, complemented
23#22620764C211yesmaximal, characteristic, complemented
24#22620709C211yesmaximal, characteristic, complemented
25#22620138C211yesmaximal, characteristic, complemented
26#22620131C211yesmaximal, characteristic, complemented
27#22619246C211yesmaximal, characteristic, complemented
28#22619169C211yesmaximal, characteristic, complemented
29#22619152C211yesmaximal, characteristic, complemented
30#22618974C211yesmaximal, characteristic, complemented
31C73×#3013C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556622C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556614C2211yescharacteristic
37C2×#14556612C2211yescharacteristic
38C2×#14556611C2211yescharacteristic, complemented
39#17989325—21no—
40#17989325—21no—
41#17989289C2211yescharacteristic, complemented
42#17989285C2211yescharacteristic
43#17989284—21no—
44#17989280—21no—
45#17989279C2211yescharacteristic
46#17989272C2211yescharacteristic, complemented
47#17989256C2211yescharacteristic, complemented
48#17989255C2211yescharacteristic
49Q8×C22⋊D73C2211yescharacteristic
50Q8×C22⋊D73C2211yescharacteristic
51#17989248C2211yescharacteristic
52#17989248C2211yescharacteristic
53#17989239C2211yescharacteristic, complemented
54#17989236—21no—
55#17989236—21no—
56#17989236C2211yescharacteristic
57#17989236C2211yescharacteristic
58#17989236C2211yescharacteristic
59#17989225—21no—
60#17989225—21no—
61#17989225C2211yescharacteristic
62#17989225C2211yescharacteristic
63#17989197C2211yescharacteristic, complemented
64#17989190—21no—
65#17989190C2211yescharacteristic, complemented
66#17989187—21no—
67#17989186—21no—
68#17989183—21no—
69#17989165—21no—
70#17989165C2211yescharacteristic
71#17989165C2211yescharacteristic, complemented
72#17989161—21no—
73#17989161C2211yescharacteristic
74#17989100C2211yescharacteristic
75#17989097C2211yescharacteristic
76#17989094—21no—
77#17989094C2211yescharacteristic
78C2×#14556567—21no—
79C2×#14556567C2211yescharacteristic
80#17989070C2211yescharacteristic
81#17988980C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988965C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988954C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic
90#17988926C2211yescharacteristic
91#17988926C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988918C2211yescharacteristic, complemented
96#17988918C2211yescharacteristic, complemented
97#17988906C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988845C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic
107#17988842C2211yescharacteristic
108#17988840C2211yescharacteristic, complemented
109#17988836C2211yescharacteristic
110#17988836C2211yescharacteristic
111#17988835C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988827C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988752C2211yescharacteristic
134#17988751C2211yescharacteristic
135#17988751C2211yescharacteristic, complemented
136#17988750C2211yescharacteristic
137#17988749C2211yescharacteristic
138#17988749C2211yescharacteristic, complemented
139#17988749C2211yescharacteristic, complemented
140#17988748C2211yescharacteristic, complemented
141#17988748C2211yescharacteristic, complemented
142#17988747C2211yescharacteristic
143#17988746C2211yescharacteristic
144#17988746C2211yescharacteristic
145#17988743C2211yescharacteristic, complemented
146#17988743C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic
148#17988736C2211yescharacteristic
149#17988734C2211yescharacteristic
150#17988734C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic
152#17988732C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic
155#17988730C2211yescharacteristic
156#17988729C2211yescharacteristic
157#17988727C2211yescharacteristic
158#17988726C2211yescharacteristic, complemented
159#17988726C2211yescharacteristic, complemented
160#17988722C2211yescharacteristic
161#17988699C2211yescharacteristic, complemented
162#17988694C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic
170#17988662C2211yescharacteristic
171#17988661C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic
180#17988590C2211yescharacteristic
181#17988588C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic
183#17988580C2211yescharacteristic
184C2×#14556515C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic
187C22⋊C8×D73C2211yescharacteristic
188C2×2−1+4×C73C2211yescharacteristic
189C2×#137×C73C2211yescharacteristic, complemented
190C2×#135×C73C2211yescharacteristic, complemented
191#537×C73C2211yescharacteristic, complemented
192#452×C73C2211yescharacteristic
193#452×C73C2211yescharacteristic, complemented
194#451×C73C2211yescharacteristic, complemented
195#451×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#417×C73C2211yescharacteristic, complemented
201C2×#103×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211#41×D73—42no—
212#41×D73—42no—
213C2×Q8×D73C2311yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C22×C4×D73—21no—
217C22×C4×D73C2311yescharacteristic
218#14556622—42no—
219#14556620—42no—
220#14556615—42no—
221#14556614—42no—
222#14556612—42no—
223#14556611—42no—
224C2×Dic292C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924018C2311yescharacteristic
228C2×#11924018C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556589—21no—
247#14556589—21no—
248#14556589C2311yescharacteristic
249#14556589C2311yescharacteristic
250#14556589C2311yescharacteristic
251#14556587—21no—
252#14556587—21no—
253#14556587C2311yescharacteristic
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556582—21no—
261#14556582—21no—
262#14556582C2311yescharacteristic
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581—21no—
266#14556580—21no—
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572D411yescharacteristic
291#14556572D411yescharacteristic
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567—21no—
309#14556567D411yescharacteristic
310#14556567D411yescharacteristic
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556567C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556565—21no—
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556565C2311yescharacteristic
322#14556565C2311yescharacteristic
323#14556565C2311yescharacteristic
324#14556565C2311yescharacteristic
325#14556564—21no—
326#14556564—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562—21no—
343#14556562D411yescharacteristic
344#14556562D411yescharacteristic
345#14556562C2311yescharacteristic
346#14556561—21no—
347#14556559—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559D411yescharacteristic
351#14556559D411yescharacteristic
352Q8×Dic73C2311yescharacteristic
353Q8×Dic73C2311yescharacteristic
354Q8×Dic73C2311yescharacteristic
355#14556556C2311yescharacteristic
356D4×Dic73—21no—
357D4×Dic73—21no—
358D4×Dic73—21no—
359D4×Dic73—21no—
360D4×Dic73C2311yescharacteristic
361D4×Dic73C2311yescharacteristic
362D4×Dic73C2311yescharacteristic
363#14556553—21no—
364#14556553C2311yescharacteristic
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⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373C4×C22⋊D73C2311yescharacteristic
374C4×C22⋊D73C2311yescharacteristic
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556550—21no—
379#14556550—21no—
380#14556550C2311yescharacteristic
381#14556549C2311yescharacteristic
382#14556549C2311yescharacteristic
383#14556547—21no—
384C2×C4⋊Dic73—21no—
385C2×C4⋊Dic73C2311yescharacteristic
386C2×C4⋊Dic73C2311yescharacteristic
387C2×#11924007—21no—
388C2×#11924007—21no—
389C2×#11924007—21no—
390C2×#11924007—21no—
391C4⋊C4×D73—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C2×#11924005—21no—
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556501C2311yescharacteristic
440#14556501C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
4432−1+4×C73—42no—
4442−1+4×C73—42no—
445C2×#41×C73—21no—
446C2×#41×C73—21no—
447C2×#41×C73—21no—
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic
451C2×#41×C73C2311yescharacteristic
452C2×#41×C73C2311yescharacteristic
453C22×Q8×C73—21no—
454C22×Q8×C73C2311yescharacteristic
455C22×Q8×C73C2311yescharacteristic
456C22×Q8×C73C2311yescharacteristic
457#137×C73—42no—
458#135×C73—42no—
459C2×Q16×C73C2311yescharacteristic
460C2×Q16×C73C2311yescharacteristic
461C2×Q16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×SD16×C73C2311yescharacteristic
464C2×SD16×C73C2311yescharacteristic
465C2×SD16×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic
467C2×M16×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469C22⋊Q8×C73—21no—
470C22⋊Q8×C73C2311yescharacteristic
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73—21no—
473#121×C73—21no—
474#121×C73—21no—
475#121×C73C2311yescharacteristic
476#121×C73C2311yescharacteristic
477C2×C4⋊C4×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—22no—
493#11924029—41no—
494#11924029—41no—
495#11924029—41no—
496#11924028—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—44no—
501#11924027—22no—
502#11924027—41no—
503#11924027—41no—
504#11924027—41no—
505#11924027—44no—
506C2×Dic146—21no—
507C2×Dic146C2411yescharacteristic
508C2×Dic146C2411yescharacteristic
509Q8×D73—22no—
510Q8×D73—41no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73C2×D411yescharacteristic
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531C2×C22⋊D73C2×D411yescharacteristic
532D4×D73—22no—
533D4×D73—41no—
534D4×D73—44no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73C2×D411yescharacteristic
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×D73—41no—
550C2×C4×D73—41no—
551C2×C4×D73—44no—
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556Dic292—41no—
557#11924018—22no—
558#11924018—41no—
559#11924018—41no—
560#11924018—41no—
561#11924017—41no—
562#11924017—41no—
563#11924016—22no—
564#11924016—41no—
565#11924015—22no—
566#11924015—41no—
567#11924015—41no—
568#11924015—41no—
569D584—41no—
570#11924013—22no—
571#11924013—41no—
572#11924012—41no—
573#11924011—41no—
574#11924011—41no—
575C2×#10596831—41no—
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C8×D73—41no—
581C8×D73—41no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2×D411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73C2×D411yescharacteristic
627C22⋊Dic73C2×D411yescharacteristic
628C22⋊Dic73C2×D411yescharacteristic
629C22⋊Dic73C2×D411yescharacteristic
630C22⋊Dic73C2×D411yescharacteristic
631C22⋊Dic73C2×D411yescharacteristic
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73C2411yescharacteristic
661C4×Dic73C2411yescharacteristic
662#41×C73—22no—
663#41×C73—22no—
664#41×C73—22no—
665#41×C73—22no—
666#41×C73—41no—
667#41×C73—41no—
668#41×C73—41no—
669#41×C73—41no—
670#41×C73—44no—
671#41×C73—41no—
672#41×C73—41no—
673#41×C73—44no—
674#41×C73—44no—
675C2×Q8×C73—21no—
676C2×Q8×C73—21no—
677C2×Q8×C73—21no—
678C2×Q8×C73—22no—
679C2×Q8×C73—22no—
680C2×Q8×C73—41no—
681C2×Q8×C73—41no—
682C2×Q8×C73—41no—
683C2×Q8×C73—41no—
684C2×Q8×C73—44no—
685C2×Q8×C73C2×D411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73C2×D411yescharacteristic
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712Q16×C73—22no—
713Q16×C73—41no—
714Q16×C73—41no—
715SD16×C73—22no—
716SD16×C73—22no—
717SD16×C73—41no—
718SD16×C73—41no—
719D8×C73—22no—
720M16×C73—41no—
721C2×C8×C73—41no—
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73C2411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C23×C73—21no—
736C23×C73—21no—
737C23×C73C22×D411yescharacteristic
738C23×C73C22×D411yescharacteristic
739C23×C73C22×D411yescharacteristic
740C22×D73—21no—
741C22×D73—21no—
742C22×D73—41no—
743C22×D73—41no—
744C22×D73—41no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—81no—
748C22×D73C22×D411yescharacteristic
749C22×D73C22×D411yescharacteristic
750Q8×C73—21no—
751Q8×C73—21no—
752Q8×C73—21no—
753Q8×C73—21no—
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—41no—
758Q8×C73—42no—
759Q8×C73—42no—
760Q8×C73—42no—
761Q8×C73H(5,𝔽2)12yes—
762D4×C73—24no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—41no—
767D4×C73—41no—
768D4×C73—41no—
769D4×C73—42no—
770D4×C73—42no—
771D4×C73—81no—
772D4×C73—81no—
773D4×C73—81no—
774D4×C73H(5,𝔽2)12yes—
775C2×C4×C73—24no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—42no—
789C2×C4×C73—42no—
790C2×C4×C73—42no—
791C2×C4×C73—42no—
792C2×C4×C73—42no—
793C2×C4×C73—81no—
794C2×C4×C73—81no—
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C2511yescharacteristic
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—41no—
822C2×Dic73—42no—
823C2×Dic73—81no—
824C2×Dic73—81no—
825C2×Dic73—81no—
826C2×Dic73—81no—
827C2×Dic73—81no—
828C2×Dic73—81no—
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835D292—21no—
836D292—21no—
837D292—21no—
838D292—21no—
839D292—42no—
840D292—81no—
841D292—81no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—41no—
847C4×D73—41no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—42no—
859C8×C73—21no—
860C8×C73—21no—
861C8×C73—21no—
862C8×C73—21no—
863#10596831—21no—
864#10596831—21no—
865#10596831—21no—
866#10596831—21no—
867C22×C73—21no—
868C22×C73—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—22no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73C23×D411yescharacteristic
883C2×D73—21no—
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—82no—
896C2×D73—84no—
897C4×C73—22no—
898C4×C73—21no—
899C4×C73—21no—
900C4×C73—21no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73—41no—
906C4×C73C2×H(5,𝔽2)11yescharacteristic
907C4×C73C2×H(5,𝔽2)11yescharacteristic
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—21no—
912Dic73—21no—
913Dic73—21no—
914Dic73—41no—
915Dic73—41no—
916Dic73—41no—
917Dic73—41no—
918Dic73—41no—
919Dic73—41no—
920#61626—731nomaximal, Sylow
921C2×C73—41no—
922C2×C73—42no—
923C2×C73—41no—
924C2×C73—41no—
925C2×C73—81no—
926C2×C73#348411yescharacteristic
927C2×C73#358411yescharacteristic
928C2×C73#358611yescharacteristic
929D73—41no—
930D73—41no—
931D73—81no—
932D73—81no—
933#3539—731no—
934#3489—731no—
935#3323—731no—
936#3322—731no—
937#3320—731no—
938#3315—731no—
939#3312—731no—
940#3307—731no—
941#3301—731no—
942#3300—731no—
943#3284—731no—
944#3283—731no—
945#3278—731no—
946#3276—731no—
947#3271—731no—
948#3269—731no—
949#3268—731no—
950#3267—731no—
951#3223—731no—
952#3221—731no—
953#3204—731no—
954#3203—731no—
955#3196—731no—
956#3190—731no—
957#3120—731no—
958#3119—731no—
959#3013—731no—
960#3013D7311yescharacteristic, complemented
961#3005—731no—
962#3002—731no—
963#2976—731no—
964C73#6162611yescharacteristic, complemented, Sylow
965C2×2−1+4C2×D7311yescharacteristic
966C22×#41—731no—
967C2×#137—731no—
968C2×#137—731no—
969C2×#137C2×D7311yescharacteristic, complemented
970C2×AGL(1,ℤ/8)—731no—
971C2×#135—731no—
972C2×#135—731no—
973C2×#135—731no—
974C2×#135C2×D7311yescharacteristic, complemented
975#560—1461no—
976#560—1461no—
977#553—731no—
978#553—731no—
979#553—1461no—
980#553—1461no—
981#552—731no—
982#552—731no—
983#550—731no—
984#550—731no—
985D4×Q8—731no—
986D4×Q8—731no—
987#548—731no—
988#548—731no—
989#547—731no—
990#547—731no—
991#547—731no—
992#547—731no—
993#547—1461no—
994#547—1461no—
995#546—731no—
996#546—731no—
997#546—1461no—
998#546—1461no—
999#541—731no—
1000#540—731no—
1001#540—1461no—
1002#540—1461no—
1003#539—1461no—
1004#539—1461no—
1005#537—731no—
1006#537—731no—
1007#537—1461no—
1008#537C2×D7311yescharacteristic, complemented
1009#536—731no—
1010#536—1461no—
1011#525—731no—
1012#525—731no—
1013#525—731no—
1014#525—1461no—
1015C2×C22⋊Q8—731no—
1016C2×C22⋊Q8—1461no—
1017#520—731no—
1018#497—731no—
1019#496—731no—
1020#494—731no—
1021#492—731no—
1022#491—731no—
1023#491—731no—
1024#488—731no—
1025#488—731no—
1026#485—731no—
1027#485—731no—
1028#485—731no—
1029#485—731no—
1030#484—731no—
1031#484—731no—
1032#483—731no—
1033#483—731no—
1034#481—731no—
1035#481—731no—
1036#480—731no—
1037#480—731no—
1038#479—731no—
1039#479—731no—
1040#478—731no—
1041#478—731no—
1042#470—731no—
1043#470—731no—
1044#470—731no—
1045#469—731no—
1046#468—731no—
1047#468—731no—
1048#468—731no—
1049#468—731no—
1050#467—731no—
1051#467—731no—
1052#467—731no—
1053#466—731no—
1054#465—731no—
1055#465—731no—
1056#465—731no—
1057#465—731no—
1058#464—731no—
1059#464—731no—
1060#463—731no—
1061#463—731no—
1062#462—731no—
1063#462—731no—
1064#462—731no—
1065#461—731no—
1066#461—731no—
1067#461—731no—
1068#460—731no—
1069#459—731no—
1070#452—731no—
1071#452—731no—
1072#452—731no—
1073#452—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#452—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452C2×D7311yescharacteristic
1083#452C2×D7311yescharacteristic, complemented
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451C2×D7311yescharacteristic, complemented
1088#451C2×D7311yescharacteristic, complemented
1089#450—731no—
1090#449—731no—
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449C2×D7311yescharacteristic
1099#449C2×D7311yescharacteristic, complemented
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448C2×D7311yescharacteristic, complemented
1104#448C2×D7311yescharacteristic, complemented
1105#447—731no—
1106#442—731no—
1107#441—731no—
1108#440—731no—
1109#440—731no—
1110C4×Q16—731no—
1111C4×SD16—731no—
1112C4×SD16—731no—
1113C4×D8—731no—
1114#436—731no—
1115#436—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#435—731no—
1120C8×D4—731no—
1121C8×D4—731no—
1122#433—731no—
1123#433—731no—
1124#419—731no—
1125#418—731no—
1126#417—731no—
1127#417C2×D7311yescharacteristic, complemented
1128#416—731no—
1129#416—731no—
1130C2×#103—731no—
1131C2×#103C2×D7311yescharacteristic, complemented
1132#408—731no—
1133#408C2×D7311yescharacteristic, complemented
1134#407—731no—
1135C2×C22⋊C8—731no—
11362−1+4—42no—
11372−1+4—42no—
1138C2×#41—21no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—2922no—
1142C2×#41—2922no—
1143C2×#41—731no—
1144C2×#41—731no—
1145C2×#41—731no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—1461no—
1150C2×#41—1461no—
1151C2×#41C22×D7311yescharacteristic
1152C2×#41C22×D7311yescharacteristic
1153C2×#41C22×D7311yescharacteristic
1154C2×#41C22×D7311yescharacteristic
1155C2×#41C22×D7311yescharacteristic
1156C22×Q8—21no—
1157C22×Q8—731no—
1158C22×Q8C22×D7311yescharacteristic
1159C22×Q8C22×D7311yescharacteristic
1160C22×Q8C22×D7311yescharacteristic
1161C22×D4—731no—
1162C22×D4—1461no—
1163C23×C4—731no—
1164C23×C4—1461no—
1165#137—42no—
1166#137—2922no—
1167#137—2922no—
1168AGL(1,ℤ/8)—2922no—
1169#135—42no—
1170#135—2922no—
1171#135—2922no—
1172#135—2922no—
1173C2×Q16—731no—
1174C2×Q16—731no—
1175C2×Q16—731no—
1176C2×Q16—731no—
1177C2×Q16—731no—
1178C2×Q16C22×D7311yescharacteristic
1179C2×Q16C22×D7311yescharacteristic
1180C2×Q16C22×D7311yescharacteristic
1181C2×SD16—731no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16C22×D7311yescharacteristic
1190C2×SD16C22×D7311yescharacteristic
1191C2×SD16C22×D7311yescharacteristic
1192C2×SD16C22×D7311yescharacteristic
1193C2×D8—731no—
1194C2×D8—731no—
1195C2×D8—731no—
1196C2×D8C22×D7311yescharacteristic
1197C2×M16—731no—
1198C2×M16—731no—
1199C2×M16—731no—
1200C2×M16C22×D7311yescharacteristic
1201C22×C8—731no—
1202C22×C8—731no—
1203C22×C8—731no—
1204C22×C8C22×D7311yescharacteristic
1205C4⋊Q8—731no—
1206C4⋊Q8—731no—
1207C4⋊Q8—731no—
1208C4⋊Q8—1461no—
1209C4⋊Q8—1461no—
1210#127—731no—
1211#127—1461no—
1212#127—1461no—
1213#126—1461no—
1214#126—1461no—
1215#126—1461no—
1216#126—1461no—
1217#126—1461no—
1218#126—1461no—
1219#125—731no—
1220#125—731no—
1221#125—1461no—
1222#125—1461no—
1223#125—1461no—
1224#125—1461no—
1225#124—731no—
1226#124—731no—
1227#124—1461no—
1228#124—1461no—
1229#123—731no—
1230#123—731no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251C22⋊Q8—21no—
1252C22⋊Q8—731no—
1253C22⋊Q8—731no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—1461no—
1265C22⋊Q8—1461no—
1266C22⋊Q8—1461no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8C22×D7311yescharacteristic
1277C22⋊Q8C22×D7311yescharacteristic
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—731no—
1282#121—731no—
1283#121—731no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—1461no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#120—731no—
1314#120—731no—
1315#120—1461no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319C4×Q8—731no—
1320C4×Q8—731no—
1321C4×Q8—731no—
1322C4×Q8—731no—
1323C4×D4—731no—
1324C4×D4—731no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—731no—
1330C4×D4—731no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4—1461no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345#117—731no—
1346#117—731no—
1347#117—731no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—1461no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4—1461no—
1357C2×C4⋊C4—1461no—
1358C2×C4⋊C4—1461no—
1359C2×C4⋊C4C22×D7311yescharacteristic
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363#107—731no—
1364#107—731no—
1365#107—731no—
1366#107—731no—
1367#106—731no—
1368#106—731no—
1369#106—731no—
1370#106—731no—
1371C4⋊C8—731no—
1372C4⋊C8—731no—
1373C4⋊C8—731no—
1374C4⋊C8—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103C22×D7311yescharacteristic
1390#103C22×D7311yescharacteristic
1391#103C22×D7311yescharacteristic
1392#103C22×D7311yescharacteristic
1393#103C22×D7311yescharacteristic
1394#103C22×D7311yescharacteristic
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102C22×D7311yescharacteristic
1406#102C22×D7311yescharacteristic
1407C22⋊C8—731no—
1408C22⋊C8—731no—
1409C22⋊C8—731no—
1410C22⋊C8—731no—
1411C22⋊C8—731no—
1412C22⋊C8—731no—
1413C22⋊C8—731no—
1414C22⋊C8—731no—
1415C22⋊C8C22×D7311yescharacteristic
1416C22⋊C8C22×D7311yescharacteristic
1417C22⋊C8C22×D7311yescharacteristic
1418C22⋊C8C22×D7311yescharacteristic
1419#97—731no—
1420#97—731no—
1421C4×C8—731no—
1422C4×C8—731no—
1423C24—731no—
1424C24—1461no—
1425#41—22no—
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—44no—
1434#41—41no—
1435#41—41no—
1436#41—44no—
1437#41—44no—
1438#41—2924no—
1439#41—2921no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2924no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—2921no—
1449#41—2921no—
1450#41—1462no—
1451#41—1462no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—22no—
1456C2×Q8—22no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—44no—
1462C2×Q8—2921no—
1463C2×Q8—731no—
1464C2×Q8—731no—
1465C2×Q8—1461no—
1466C2×Q8—1462no—
1467C2×Q8D4×D7311yescharacteristic
1468C2×Q8C23×D7311yescharacteristic
1469C2×Q8C23×D7311yescharacteristic
1470C2×Q8C23×D7311yescharacteristic
1471C2×Q8C23×D7311yescharacteristic
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—2924no—
1479C2×D4—2921no—
1480C2×D4—731no—
1481C2×D4—731no—
1482C2×D4—731no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1462no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4D4×D7311yescharacteristic
1503C2×D4D4×D7311yescharacteristic
1504C2×D4D4×D7311yescharacteristic
1505C2×D4C23×D7311yescharacteristic
1506C2×D4C23×D7311yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—2924no—
1516C22×C4—2921no—
1517C22×C4—2921no—
1518C22×C4—731no—
1519C22×C4—731no—
1520C22×C4—731no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—1461no—
1524C22×C4—1461no—
1525C22×C4—1461no—
1526C22×C4—1461no—
1527C22×C4—1461no—
1528C22×C4—1461no—
1529C22×C4—1461no—
1530C22×C4—1461no—
1531C22×C4—1461no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4C23×D7311yescharacteristic
1537C22×C4C23×D7311yescharacteristic
1538C22×C4C23×D7311yescharacteristic
1539Q16—22no—
1540Q16—41no—
1541Q16—41no—
1542Q16—2921no—
1543Q16—2921no—
1544Q16—2921no—
1545Q16—2921no—
1546Q16—1462no—
1547SD16—22no—
1548SD16—22no—
1549SD16—41no—
1550SD16—41no—
1551SD16—2921no—
1552SD16—2921no—
1553SD16—2921no—
1554SD16—2921no—
1555SD16—2921no—
1556SD16—2921no—
1557SD16—1462no—
1558SD16—1462no—
1559D8—22no—
1560D8—2921no—
1561D8—2921no—
1562D8—1462no—
1563M16—41no—
1564M16—2921no—
1565M16—2921no—
1566M16—2921no—
1567C2×C8—41no—
1568C2×C8—2921no—
1569C2×C8—2921no—
1570C2×C8—2921no—
1571C2×C8—731no—
1572C2×C8—731no—
1573C2×C8—731no—
1574C2×C8—731no—
1575C2×C8C23×D7311yescharacteristic
1576C2×C8C23×D7311yescharacteristic
1577C2×C8C23×D7311yescharacteristic
1578C2×C8C23×D7311yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—731no—
1583C4⋊C4—731no—
1584C4⋊C4—731no—
1585C4⋊C4—731no—
1586C4⋊C4—731no—
1587C4⋊C4—731no—
1588C4⋊C4—731no—
1589C4⋊C4—731no—
1590C4⋊C4—731no—
1591C4⋊C4—731no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4C23×D7311yescharacteristic
1619C4⋊C4C23×D7311yescharacteristic
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—731no—
1625C22⋊C4—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C42—731no—
1661C42—731no—
1662C42—1461no—
1663C42—1461no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C23—21no—
1669C23—21no—
1670C23—2922no—
1671C23—2921no—
1672C23—2921no—
1673C23—2921no—
1674C23—2922no—
1675C23—5841no—
1676C23—731no—
1677C23—731no—
1678C23—1461no—
1679C23—1461no—
1680C23C2×D4×D7311yescharacteristic
1681C23C2×D4×D7311yescharacteristic
1682C23C2×D4×D7311yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—41no—
1691Q8—42no—
1692Q8—42no—
1693Q8—42no—
1694Q8—2922no—
1695Q8—1461no—
1696Q8—1461no—
1697Q8—1461no—
1698Q8—1461no—
1699Q8#1455663612yes—
1700D4—24no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—42no—
1708D4—42no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—2922no—
1713D4—2922no—
1714D4—2922no—
1715D4—2922no—
1716D4—2921no—
1717D4—2921no—
1718D4—2921no—
1719D4—2921no—
1720D4—5841no—
1721D4—5841no—
1722D4—5841no—
1723D4—5841no—
1724D4—5841no—
1725D4—5841no—
1726D4—5841no—
1727D4—5841no—
1728D4—5841no—
1729D4—5841no—
1730D4—5841no—
1731D4—1461no—
1732D4—1461no—
1733D4—1461no—
1734D4—1461no—
1735D4#1455663612yes—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—81no—
1755C2×C4—81no—
1756C2×C4—2922no—
1757C2×C4—2922no—
1758C2×C4—2922no—
1759C2×C4—2921no—
1760C2×C4—2921no—
1761C2×C4—2922no—
1762C2×C4—2921no—
1763C2×C4—5841no—
1764C2×C4—5841no—
1765C2×C4—5841no—
1766C2×C4—5841no—
1767C2×C4—5841no—
1768C2×C4—5841no—
1769C2×C4—5841no—
1770C2×C4—5841no—
1771C2×C4—5841no—
1772C2×C4—731no—
1773C2×C4—731no—
1774C2×C4—731no—
1775C2×C4—731no—
1776C2×C4—731no—
1777C2×C4—731no—
1778C2×C4—1461no—
1779C2×C4—1461no—
1780C2×C4—1461no—
1781C2×C4—1461no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4—1461no—
1785C2×C4—1461no—
1786C2×C4—1461no—
1787C2×C4—1461no—
1788C2×C4C2×D4×D7311yescharacteristic
1789C2×C4C2×D4×D7311yescharacteristic
1790C2×C4C2×D4×D7311yescharacteristic
1791C2×C4C24×D7311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1461no—
1797C8—1461no—
1798C8—1461no—
1799C8—1461no—
1800C22—21no—
1801C22—22no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—2921no—
1816C22—2921no—
1817C22—2921no—
1818C22—2921no—
1819C22—2921no—
1820C22—2921no—
1821C22—5842no—
1822C22—5844no—
1823C22—1461no—
1824C22—1461no—
1825C22—1461no—
1826C22—1461no—
1827C22—1461no—
1828C22—1461no—
1829C22C22×D4×D7311yescharacteristic
1830C4—21no—
1831C4—22no—
1832C4—21no—
1833C4—21no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—2921no—
1840C4—2921no—
1841C4—2921no—
1842C4—2921no—
1843C4—2921no—
1844C4—2921no—
1845C4—1461no—
1846C4—1461no—
1847C4—1461no—
1848C4—1461no—
1849C4—1461no—
1850C4—1461no—
1851C4C2×#1455663611yescharacteristic
1852C4C2×#1455663611yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—42no—
1857C2—81no—
1858C2—2921no—
1859C2—2921no—
1860C2—5841no—
1861C2—5841no—
1862C2#2262356011yescharacteristic
1863C2#2262470311yescharacteristic
1864C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3013C2
socleC22×C73C23×D4
hypercenter#3013D73
hypocenterC73#61626
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3013

Complements

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

NH ≅ G/Ntype
1. #22624184C2semidirect
2. #22623604C2semidirect
3. #22622140C2semidirect
4. #22622133C2semidirect
5. #22622098C2semidirect
6. #22622028C2semidirect
7. #22621986C2semidirect
8. #22621900C2semidirect
9. #22621837C2semidirect
10. #22621814C2semidirect
11. #22621655C2semidirect
12. #22621646C2semidirect
13. #22621595C2semidirect
14. #22621571C2semidirect
15. #22621510C2semidirect
16. #22621489C2semidirect
17. #22621475C2semidirect
18. #22621456C2semidirect
19. #22621010C2semidirect
20. #22620988C2semidirect
21. #22620843C2semidirect
22. #22620828C2semidirect
23. #22620764C2semidirect
24. #22620709C2semidirect
25. #22620138C2semidirect
26. #22620131C2semidirect
27. #22619246C2semidirect
28. #22619169C2semidirect
29. #22619152C2semidirect
30. #22618974C2semidirect
31. C73×#3013C2semidirect
33. C2×#14556622C22semidirect
38. C2×#14556611C22semidirect
41. #17989289C22semidirect
46. #17989272C22semidirect
47. #17989256C22semidirect
53. #17989239C22semidirect
63. #17989197C22semidirect
65. #17989190C22semidirect
71. #17989165C22semidirect
81. #17988980C22semidirect
82. #17988973C22semidirect
83. #17988965C22semidirect
84. #17988958C22semidirect
85. #17988954C22semidirect
86. #17988954C22semidirect
87. #17988943C22semidirect
88. #17988943C22semidirect
91. #17988926C22semidirect
92. #17988926C22semidirect
93. #17988922C22semidirect
94. #17988920C22semidirect
95. #17988918C22semidirect
96. #17988918C22semidirect
97. #17988906C22semidirect
98. #17988906C22semidirect
99. #17988900C22semidirect
100. #17988898C22semidirect
101. #17988892C22semidirect
102. #17988892C22semidirect
103. #17988889C22semidirect
104. #17988889C22semidirect
105. #17988845C22semidirect
108. #17988840C22semidirect
111. #17988835C22semidirect
112. #17988831C22semidirect
113. #17988827C22semidirect
114. #17988827C22semidirect
115. #17988826C22semidirect
116. #17988821C22semidirect
117. #17988816C22semidirect
118. #17988816C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988812C22semidirect
122. #17988811C22semidirect
123. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988796C22semidirect
126. #17988795C22semidirect
127. #17988795C22semidirect
128. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988790C22semidirect
131. #17988785C22semidirect
132. #17988780C22semidirect
135. #17988751C22semidirect
138. #17988749C22semidirect
139. #17988749C22semidirect
140. #17988748C22semidirect
141. #17988748C22semidirect
145. #17988743C22semidirect
146. #17988743C22semidirect
150. #17988734C22semidirect
152. #17988732C22semidirect
153. #17988732C22semidirect
158. #17988726C22semidirect
159. #17988726C22semidirect
161. #17988699C22semidirect
162. #17988694C22semidirect
163. #17988690C22semidirect
164. #17988684C22semidirect
165. #17988679C22semidirect
166. SD16×Dic73C22semidirect
167. SD16×Dic73C22semidirect
168. #17988667C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988650C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
181. #17988588C22semidirect
184. C2×#14556515C22semidirect
185. #17988554C22semidirect
189. C2×#137×C73C22semidirect
190. C2×#135×C73C22semidirect
191. #537×C73C22semidirect
193. #452×C73C22semidirect
194. #451×C73C22semidirect
195. #451×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #448×C73C22semidirect
200. #417×C73C22semidirect
201. C2×#103×C73C22semidirect
202. #408×C73C22semidirect
960. #3013D73semidirect
964. C73#61626semidirect
969. C2×#137C2×D73semidirect
974. C2×#135C2×D73semidirect
1008. #537C2×D73semidirect
1083. #452C2×D73semidirect
1087. #451C2×D73semidirect
1088. #451C2×D73semidirect
1099. #449C2×D73semidirect
1103. #448C2×D73semidirect
1104. #448C2×D73semidirect
1127. #417C2×D73semidirect
1131. C2×#103C2×D73semidirect
1133. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241842
#226236042
#226221402
#226221332
#226220982
#226220282
#226219862
#226219002
#226218372
#226218142
#226216552
#226216462
#226215952
#226215712
#226215102
#226214892
#226214752
#226214562
#226210102
#226209882
#226208432
#226208282
#226207642
#226207092
#226201382
#226201312
#226192462
#226191692
#226191522
#226189742
C73×#30132
#6162673