Finite Group Databasebeta

← #33978913

Subgroups — #33978913

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic, complemented
2#22623418C211yesmaximal, characteristic, complemented
3#22622968C211yesmaximal, characteristic, complemented
4#22622952C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622652C211yesmaximal, characteristic, complemented
7#22621925C211yesmaximal, characteristic, complemented
8#22621893C211yesmaximal, characteristic, complemented
9#22621886C211yesmaximal, characteristic, complemented
10#22621792C211yesmaximal, characteristic, complemented
11#22621742C211yesmaximal, characteristic, complemented
12#22621620C211yesmaximal, characteristic, complemented
13#22621605C211yesmaximal, characteristic, complemented
14#22621433C211yesmaximal, characteristic, complemented
15#22621427C211yesmaximal, characteristic, complemented
16#22621416C211yesmaximal, characteristic, complemented
17#22621414C211yesmaximal, characteristic, complemented
18#22621288C211yesmaximal, characteristic, complemented
19#22621260C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22620919C211yesmaximal, characteristic, complemented
22#22620917C211yesmaximal, characteristic, complemented
23#22620862C211yesmaximal, characteristic, complemented
24#22620073C211yesmaximal, characteristic, complemented
25#22620066C211yesmaximal, characteristic, complemented
26#22619981C211yesmaximal, characteristic, complemented
27#22619394C211yesmaximal, characteristic, complemented
28C2×#17988805C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556619C2211yescharacteristic, complemented
34C2×#14556616C2211yescharacteristic, complemented
35C22×#11924015C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C22×D584C2211yescharacteristic
38C2×D8×D73C2211yescharacteristic
39#17989319C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic, complemented
41#17989299—21no—
42#17989266—21no—
43#17989264—21no—
44#17989258C2211yescharacteristic, complemented
45#17989252C2211yescharacteristic, complemented
46Q8×C22⋊D73C2211yescharacteristic, complemented
47#17989247—21no—
48#17989247C2211yescharacteristic, complemented
49#17989238C2211yescharacteristic
50#17989238C2211yescharacteristic, complemented
51#17989233C2211yescharacteristic, complemented
52#17989229—21no—
53#17989229—21no—
54#17989226—21no—
55#17989225—21no—
56#17989225C2211yescharacteristic, complemented
57D4×D292C2211yescharacteristic, complemented
58#17989221C2211yescharacteristic
59#17989221C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic, complemented
61#17989207—21no—
62#17989174—21no—
63#17989171—21no—
64#17989138C2211yescharacteristic, complemented
65#17989133C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic, complemented
68#17989124C2211yescharacteristic, complemented
69#17989123C2211yescharacteristic, complemented
70#17989118C2211yescharacteristic, complemented
71C2×#14556580C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic, complemented
73#17989100—21no—
74#17989095—21no—
75#17989095—21no—
76#17989059—21no—
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic, complemented
79C2×#14556553C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988948C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988890C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988874C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic
116#17988805C2211yescharacteristic
117#17988805C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988803C2211yescharacteristic
128#17988802C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988801C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988799C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988787C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988785C2211yescharacteristic, complemented
139#17988783C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic, complemented
145#17988737C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988734C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988727C2211yescharacteristic, complemented
151#17988727C2211yescharacteristic, complemented
152#17988726C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic
154#17988723C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988720C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988669C2211yescharacteristic
172#17988669C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988586C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556511C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#548×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027D411yescharacteristic
211#41×D73—48no—
212C2×Q8×D73—21no—
213C2×Q8×D73C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C22×D292C2311yescharacteristic
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226#14556619—42no—
227#14556616—42no—
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924015—42no—
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239SD16×D73—42no—
240C2×D584—42no—
241C2×D584C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×D584C2311yescharacteristic
245C2×D584C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252D8×D73—42no—
253C2×#11924012C2311yescharacteristic
254C22×#10596831C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257#14556590C2311yescharacteristic
258#14556590C2311yescharacteristic
259#14556589—21no—
260#14556589C2311yescharacteristic
261#14556588C2311yescharacteristic
262#14556587C2311yescharacteristic
263#14556587C2311yescharacteristic
264#14556587C2311yescharacteristic
265#14556586—21no—
266#14556586—21no—
267#14556586—21no—
268#14556585—21no—
269#14556584—21no—
270#14556582C2311yescharacteristic
271#14556580—21no—
272#14556580—21no—
273#14556580—21no—
274#14556580C2311yescharacteristic
275#14556580C2311yescharacteristic
276#14556580C2311yescharacteristic
277#14556580C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556578C2311yescharacteristic
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556575—21no—
292#14556574—21no—
293#14556574—21no—
294#14556574—21no—
295#14556573—21no—
296#14556572—21no—
297#14556570—21no—
298#14556570C2311yescharacteristic
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556567—21no—
306#14556567—21no—
307#14556567C2311yescharacteristic
308#14556566—21no—
309#14556566—21no—
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556559—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339Q8×Dic73C2311yescharacteristic
340C4×Dic146C2311yescharacteristic
341#14556556D411yescharacteristic
342#14556556C2311yescharacteristic
343C4×D292—21no—
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346D4×Dic73—21no—
347D4×Dic73D411yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350#14556553—21no—
351#14556553—21no—
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73C2311yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551D411yescharacteristic
376#14556551D411yescharacteristic
377#14556549—21no—
378#14556549D411yescharacteristic
379#14556548—21no—
380#14556548—21no—
381#14556547—21no—
382#14556547D411yescharacteristic
383#14556547D411yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C2×#11924005—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C2×C4×Dic73C2311yescharacteristic
395C2×C4×Dic73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556502C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C2×#41×C73—21no—
443C2×#41×C73C2311yescharacteristic
444C22×Q8×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×M16×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C4⋊Q8×C73C2311yescharacteristic
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471C4⋊C8×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
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—44no—
491#11924028—44no—
492#11924028—41no—
493#11924028—41no—
494#11924028—44no—
495#11924028—44no—
496#11924027—24no—
497#11924027—44no—
498#11924027—44no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146C2×D411yescharacteristic
503C2×Dic146C2411yescharacteristic
504Q8×D73—44no—
505Q8×D73—41no—
506Q8×D73—41no—
507C2×D292—22no—
508C2×D292—22no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—41no—
518C2×D292—41no—
519C2×D292—41no—
520C2×D292—41no—
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×D292C2411yescharacteristic
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⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73C2×D411yescharacteristic
539C2×C22⋊D73C2×D411yescharacteristic
540D4×D73—22no—
541D4×D73—41no—
542D4×D73—41no—
543D4×D73—41no—
544D4×D73—44no—
545D4×D73—44no—
546D4×D73—44no—
547D4×D73—44no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73C2×D411yescharacteristic
551C22×Dic73C2×D411yescharacteristic
552C22×Dic73C2×D411yescharacteristic
553C22×Dic73C2×D411yescharacteristic
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—44no—
568C2×C4×D73—44no—
569C2×C4×D73—44no—
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2411yescharacteristic
573#11924017—22no—
574#11924017—41no—
575#11924017—41no—
576#11924016—41no—
577#11924015—22no—
578#11924015—22no—
579#11924015—41no—
580#11924015—41no—
581#11924015—41no—
582#11924015—41no—
583D584—22no—
584D584—22no—
585D584—41no—
586D584—41no—
587D584—41no—
588D584—41no—
589#11924013—22no—
590#11924013—41no—
591#11924013—41no—
592#11924013—41no—
593#11924013—41no—
594#11924012—41no—
595C2×#10596831—41no—
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C8×D73—41no—
601C8×D73—41no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73C2×D411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73C2×D411yescharacteristic
626C22⋊Dic73C2×D411yescharacteristic
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2×D411yescharacteristic
660C4×Dic73C2×D411yescharacteristic
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2411yescharacteristic
665C4×Dic73C2411yescharacteristic
666C4×Dic73C2411yescharacteristic
667#41×C73—41no—
668#41×C73—41no—
669#41×C73—44no—
670C2×Q8×C73—21no—
671C2×Q8×C73—21no—
672C2×Q8×C73—41no—
673C2×Q8×C73—41no—
674C2×Q8×C73C2411yescharacteristic
675C2×Q8×C73C2411yescharacteristic
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73C2×D411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690SD16×C73—41no—
691SD16×C73—41no—
692D8×C73—41no—
693M16×C73—41no—
694C2×C8×C73—41no—
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73C2×D411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73C2×D411yescharacteristic
717C22⋊C4×C73C2×D411yescharacteristic
718C42×C73—21no—
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—21no—
728C22×D73—21no—
729C22×D73—42no—
730C22×D73—42no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73—81no—
744C22×D73C22×D411yescharacteristic
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—21no—
748Q8×C73—21no—
749Q8×C73—42no—
750Q8×C73—81no—
751D4×C73—22no—
752D4×C73—21no—
753D4×C73—21no—
754D4×C73—21no—
755D4×C73—21no—
756D4×C73—42no—
757D4×C73—42no—
758D4×C73—42no—
759D4×C73—81no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—42no—
771C2×C4×C73—42no—
772C2×C4×C73—42no—
773C2×C4×C73—81no—
774C2×C4×C73—81no—
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C2511yescharacteristic
780C22⋊D73—22no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C22⋊D73—81no—
792C22⋊D73—81no—
793C22⋊D73AGL(1,ℤ/8)14yescomplemented
794C2×Dic73—22no—
795C2×Dic73—22no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—41no—
800C2×Dic73—41no—
801C2×Dic73—42no—
802C2×Dic73—81no—
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806C2×Dic73C22×D411yescharacteristic
807C2×Dic73C22×D411yescharacteristic
808C2×Dic73C22×D411yescharacteristic
809C2×Dic73C22×D411yescharacteristic
810D292—21no—
811D292—21no—
812D292—21no—
813D292—21no—
814D292—21no—
815D292—21no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—42no—
820D292—42no—
821D292—42no—
822D292—42no—
823D292—42no—
824D292—42no—
825D292—81no—
826D292—81no—
827D292H(5,𝔽2)12yes—
828C4×D73—22no—
829C4×D73—21no—
830C4×D73—21no—
831C4×D73—41no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—42no—
837C4×D73—42no—
838C4×D73—42no—
839C4×D73—42no—
840C4×D73—42no—
841C4×D73—42no—
842C4×D73—81no—
843C4×D73—81no—
844C4×D73—81no—
845Dic146—22no—
846Dic146—21no—
847Dic146—21no—
848Dic146—42no—
849Dic146—42no—
850Dic146—81no—
851C8×C73—21no—
852C8×C73—21no—
853C8×C73—21no—
854C8×C73—21no—
855#10596831—21no—
856#10596831—21no—
857#10596831—21no—
858#10596831—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—21no—
862C22×C73—21no—
863C22×C73—21no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73C2×AGL(1,ℤ/8)12yes—
871C22×C73C23×D411yescharacteristic
872C2×D73—21no—
873C2×D73—21no—
874C2×D73—22no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—84no—
890C2×D73—84no—
891C2×D73—84no—
892C2×D73—162no—
893C2×D73—162no—
894C2×D73C2×AGL(1,ℤ/8)12yes—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—21no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73C2×H(5,𝔽2)11yescharacteristic
906C4×C73#58511yescharacteristic
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—21no—
912Dic73—21no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73C2×AGL(1,ℤ/8)12yes—
917#61989—731nomaximal, Sylow
918C2×C73—22no—
919C2×C73—41no—
920C2×C73—81no—
921C2×C73—81no—
922C2×C73#348811yescharacteristic
923C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
924C2×C73#358411yescharacteristic
925D73—22no—
926D73—42no—
927D73—81no—
928D73—81no—
929D73—81no—
930D73—81no—
931#3514—731no—
932D4×#41—731no—
933#3399—731no—
934#3397—731no—
935#3373—731no—
936#3367—731no—
937#3308—731no—
938#3308D7311yescharacteristic, complemented
939#3306—731no—
940#3306—731no—
941#3298—731no—
942#3294—731no—
943D4×SD16—731no—
944D4×D8—731no—
945#3265—731no—
946#3265—731no—
947#3264—731no—
948#3264—731no—
949#3251—731no—
950#3247—731no—
951#3247—731no—
952#3213—731no—
953#3213—731no—
954#3207—731no—
955#3114—731no—
956#3114—731no—
957#3105—731no—
958#3036—731no—
959C2×#463—731no—
960C2×#463—731no—
961#2990—731no—
962C73#6198911yescharacteristic, complemented, Sylow
963C22×#41—1461no—
964C2×AGL(1,ℤ/8)—731no—
965C2×AGL(1,ℤ/8)—731no—
966C22×SD16—731no—
967C22×SD16—731no—
968C22×D8—731no—
969C22×D8—731no—
970#559—731no—
971#556—731no—
972#555—1461no—
973#551—1461no—
974#551—1461no—
975#550—731no—
976D4×Q8—731no—
977D4×Q8—731no—
978#548—731no—
979#548—1461no—
980#548C2×D7311yescharacteristic, complemented
981#547—731no—
982#547—731no—
983#547C2×D7311yescharacteristic, complemented
984#546—731no—
985#546—731no—
986#546—1461no—
987#546—1461no—
988#546—1461no—
989#546—1461no—
990D42—731no—
991D42—731no—
992D42—731no—
993D42—731no—
994#542—1461no—
995#538—1461no—
996#538—1461no—
997#532—731no—
998#532—731no—
999#532—731no—
1000#532—731no—
1001#529—731no—
1002#529—731no—
1003#529—731no—
1004C2×#124—731no—
1005C2×#124—731no—
1006#525—1461no—
1007#525—1461no—
1008#525—1461no—
1009#518—1461no—
1010C4×#41—731no—
1011C2×C4×D4—731no—
1012C2×C4×D4—731no—
1013C2×C4×D4—731no—
1014#496—731no—
1015#496—731no—
1016#496—731no—
1017#496—731no—
1018#493—731no—
1019#492—731no—
1020#489—731no—
1021#489—731no—
1022#489—731no—
1023#489C2×D7311yescharacteristic, complemented
1024#487—731no—
1025#486—731no—
1026#484C2×D7311yescharacteristic, complemented
1027#483—731no—
1028#483—731no—
1029#481—731no—
1030#480—731no—
1031#480C2×D7311yescharacteristic, complemented
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#477—731no—
1037#477C2×D7311yescharacteristic, complemented
1038#476—731no—
1039#476—731no—
1040#475—731no—
1041#474—731no—
1042#469—731no—
1043#469—731no—
1044#468—731no—
1045#468C2×D7311yescharacteristic, complemented
1046#466—731no—
1047#466—731no—
1048#466—731no—
1049#466C2×D7311yescharacteristic, complemented
1050#465—731no—
1051#465—731no—
1052#465—731no—
1053#465—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#463—731no—
1067#463—731no—
1068#463—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463C2×D7311yescharacteristic, complemented
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#460—731no—
1079#459—731no—
1080#459—731no—
1081#459—731no—
1082#459—731no—
1083#459—731no—
1084#450—731no—
1085#450—731no—
1086#450—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449C2×D7311yescharacteristic, complemented
1091#448—731no—
1092#448—731no—
1093#448—731no—
1094#448C2×D7311yescharacteristic, complemented
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447—731no—
1102#446—731no—
1103#446—731no—
1104#442—731no—
1105#442—731no—
1106#442—731no—
1107#442—731no—
1108#440—731no—
1109#440—731no—
1110#440—731no—
1111#440C2×D7311yescharacteristic, complemented
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×D8—731no—
1115C4×D8—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#435C2×D7311yescharacteristic, complemented
1120C8×D4—731no—
1121C8×D4—731no—
1122#432—731no—
1123#432—731no—
1124#431—731no—
1125#423—731no—
1126C2×C4⋊C8—731no—
1127C2×C4⋊C8—731no—
1128#417—731no—
1129#417C2×D7311yescharacteristic, complemented
1130C2×#103—731no—
1131C2×#103C2×D7311yescharacteristic, complemented
1132C2×#102—731no—
1133C2×#102—731no—
1134C2×#41—21no—
1135C2×#41—2928no—
1136C2×#41—731no—
1137C2×#41—731no—
1138C2×#41—1461no—
1139C2×#41—1461no—
1140C2×#41—1461no—
1141C2×#41—1461no—
1142C2×#41—1461no—
1143C2×#41—1461no—
1144C2×#41C22×D7311yescharacteristic
1145C22×Q8—731no—
1146C22×Q8—1461no—
1147C22×Q8C22×D7311yescharacteristic
1148C22×D4—731no—
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—731no—
1153C22×D4—1461no—
1154C22×D4—1461no—
1155C22×D4—1461no—
1156C22×D4—1461no—
1157C23×C4—1461no—
1158C23×C4—1461no—
1159C23×C4—1461no—
1160AGL(1,ℤ/8)—2922no—
1161AGL(1,ℤ/8)—2922no—
1162C2×SD16—2922no—
1163C2×SD16—2922no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16—731no—
1171C2×SD16—731no—
1172C2×SD16—731no—
1173C2×SD16—731no—
1174C2×SD16C22×D7311yescharacteristic
1175C2×SD16C22×D7311yescharacteristic
1176C2×D8—2922no—
1177C2×D8—2922no—
1178C2×D8—731no—
1179C2×D8—731no—
1180C2×D8—731no—
1181C2×D8—731no—
1182C2×D8—731no—
1183C2×D8—731no—
1184C2×D8—731no—
1185C2×D8—731no—
1186C2×D8—731no—
1187C2×D8—731no—
1188C2×D8—731no—
1189C2×D8C22×D7311yescharacteristic
1190C2×M16—731no—
1191C2×M16C22×D7311yescharacteristic
1192C22×C8—731no—
1193C22×C8—731no—
1194C22×C8—731no—
1195C22×C8C22×D7311yescharacteristic
1196C4⋊Q8—731no—
1197C4⋊Q8—731no—
1198C4⋊Q8—731no—
1199C4⋊Q8—1461no—
1200C4⋊Q8C22×D7311yescharacteristic
1201#127—731no—
1202#127—731no—
1203#127—731no—
1204#127—731no—
1205#126—1461no—
1206#126—1461no—
1207#126—1461no—
1208#126—1461no—
1209#126—1461no—
1210#125—731no—
1211#124—21no—
1212#124—731no—
1213#124—731no—
1214#124—731no—
1215#124—731no—
1216#124—731no—
1217#124—731no—
1218#124—1461no—
1219#124—1461no—
1220#124—1461no—
1221#124—1461no—
1222#124—1461no—
1223#124—1461no—
1224#124—1461no—
1225#124—1461no—
1226#124—1461no—
1227#124C22×D7311yescharacteristic
1228#123—21no—
1229#123—21no—
1230#123—1461no—
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—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—731no—
1244C22⋊Q8—731no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249C22⋊Q8—1461no—
1250C22⋊Q8—1461no—
1251C22⋊Q8—1461no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8C22×D7311yescharacteristic
1255#121—21no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121C22×D7311yescharacteristic
1278#121C22×D7311yescharacteristic
1279#121C22×D7311yescharacteristic
1280#120—1461no—
1281#120—1461no—
1282#120—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290C4×Q8—731no—
1291C4×Q8—731no—
1292C4×Q8—731no—
1293C4×Q8—731no—
1294C4×Q8C22×D7311yescharacteristic
1295C4×D4—21no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4C22×D7311yescharacteristic
1331C4×D4C22×D7311yescharacteristic
1332#117—731no—
1333#117—731no—
1334#117—731no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338#117—1461no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4C22×D7311yescharacteristic
1341C2×C4⋊C4C22×D7311yescharacteristic
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C22⋊C4—1461no—
1350C2×C22⋊C4—1461no—
1351C2×C42—731no—
1352C2×C42—731no—
1353C2×C42—731no—
1354#107—731no—
1355#107C22×D7311yescharacteristic
1356#107C22×D7311yescharacteristic
1357#107C22×D7311yescharacteristic
1358#106—731no—
1359#106—731no—
1360#106—731no—
1361#106—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8—731no—
1368C4⋊C8—731no—
1369C4⋊C8—731no—
1370C4⋊C8—731no—
1371C4⋊C8C22×D7311yescharacteristic
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103C22×D7311yescharacteristic
1379#103C22×D7311yescharacteristic
1380#103C22×D7311yescharacteristic
1381#103C22×D7311yescharacteristic
1382#103C22×D7311yescharacteristic
1383#103C22×D7311yescharacteristic
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102C22×D7311yescharacteristic
1401#102C22×D7311yescharacteristic
1402#102C22×D7311yescharacteristic
1403#102C22×D7311yescharacteristic
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406C22⋊C8—731no—
1407C22⋊C8—731no—
1408C22⋊C8C22×D7311yescharacteristic
1409C22⋊C8C22×D7311yescharacteristic
1410#97—731no—
1411#97—731no—
1412#97—731no—
1413#97C22×D7311yescharacteristic
1414C4×C8—731no—
1415C4×C8—731no—
1416C24—1461no—
1417C24—1461no—
1418C24—1461no—
1419C24—1461no—
1420C24—1461no—
1421#41—41no—
1422#41—41no—
1423#41—44no—
1424#41—2921no—
1425#41—2921no—
1426#41—2924no—
1427#41—2924no—
1428#41—2924no—
1429#41—2924no—
1430#41—2924no—
1431#41—2924no—
1432#41—1464no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—41no—
1436C2×Q8—41no—
1437C2×Q8—2924no—
1438C2×Q8—2921no—
1439C2×Q8—2921no—
1440C2×Q8—731no—
1441C2×Q8—731no—
1442C2×Q8—1461no—
1443C2×Q8—1461no—
1444C2×Q8—1461no—
1445C2×Q8C23×D7311yescharacteristic
1446C2×Q8C23×D7311yescharacteristic
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—2921no—
1452C2×D4—2921no—
1453C2×D4—2921no—
1454C2×D4—2921no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2924no—
1458C2×D4—2924no—
1459C2×D4—2921no—
1460C2×D4—2921no—
1461C2×D4—2921no—
1462C2×D4—731no—
1463C2×D4—731no—
1464C2×D4—731no—
1465C2×D4—731no—
1466C2×D4—731no—
1467C2×D4—731no—
1468C2×D4—731no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1462no—
1473C2×D4—1462no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1462no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4D4×D7311yescharacteristic
1493C2×D4C23×D7311yescharacteristic
1494C2×D4C23×D7311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—2924no—
1501C22×C4—2924no—
1502C22×C4—2924no—
1503C22×C4—731no—
1504C22×C4—731no—
1505C22×C4—731no—
1506C22×C4—731no—
1507C22×C4—731no—
1508C22×C4—731no—
1509C22×C4—731no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4—1461no—
1525C22×C4C23×D7311yescharacteristic
1526C22×C4C23×D7311yescharacteristic
1527SD16—41no—
1528SD16—41no—
1529SD16—2921no—
1530SD16—2921no—
1531SD16—2921no—
1532SD16—2921no—
1533SD16—2921no—
1534SD16—2921no—
1535SD16—2921no—
1536SD16—1462no—
1537SD16—1462no—
1538SD16—1462no—
1539D8—41no—
1540D8—2921no—
1541D8—2921no—
1542D8—2921no—
1543D8—2921no—
1544D8—2921no—
1545D8—2921no—
1546D8—2921no—
1547D8—2921no—
1548D8—1462no—
1549D8—1462no—
1550D8—1462no—
1551M16—41no—
1552M16—2921no—
1553C2×C8—41no—
1554C2×C8—2921no—
1555C2×C8—2921no—
1556C2×C8—2921no—
1557C2×C8—731no—
1558C2×C8—731no—
1559C2×C8—731no—
1560C2×C8—731no—
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C2×C8C23×D7311yescharacteristic
1564C2×C8C23×D7311yescharacteristic
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—731no—
1576C4⋊C4—731no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4D4×D7311yescharacteristic
1589C4⋊C4C23×D7311yescharacteristic
1590C4⋊C4C23×D7311yescharacteristic
1591C4⋊C4C23×D7311yescharacteristic
1592C4⋊C4C23×D7311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—731no—
1603C22⋊C4—731no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4D4×D7311yescharacteristic
1637C22⋊C4D4×D7311yescharacteristic
1638C42—21no—
1639C42—731no—
1640C42—731no—
1641C42—731no—
1642C42—731no—
1643C42—731no—
1644C42—731no—
1645C42—731no—
1646C42—731no—
1647C42—731no—
1648C42—1461no—
1649C42—1461no—
1650C42C23×D7311yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—2922no—
1654C23—2922no—
1655C23—2922no—
1656C23—2922no—
1657C23—2922no—
1658C23—2922no—
1659C23—2922no—
1660C23—2922no—
1661C23—5841no—
1662C23—5841no—
1663C23—5841no—
1664C23—5841no—
1665C23—5841no—
1666C23—5841no—
1667C23—5841no—
1668C23—731no—
1669C23—1461no—
1670C23—1461no—
1671C23—1461no—
1672C23—1461no—
1673C23—1461no—
1674C23C2×D4×D7311yescharacteristic
1675C23C2×D4×D7311yescharacteristic
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—42no—
1681Q8—81no—
1682Q8—2922no—
1683Q8—2922no—
1684Q8—5841no—
1685Q8—1462no—
1686Q8—1461no—
1687Q8—1461no—
1688D4—22no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—42no—
1694D4—42no—
1695D4—42no—
1696D4—81no—
1697D4—2922no—
1698D4—2922no—
1699D4—2922no—
1700D4—2922no—
1701D4—2922no—
1702D4—2922no—
1703D4—2922no—
1704D4—2922no—
1705D4—2922no—
1706D4—2922no—
1707D4—2922no—
1708D4—2922no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—734no—
1718D4—732no—
1719D4—1462no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726D4—1461no—
1727D4—1461no—
1728D4—1461no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—2922no—
1745C2×C4—2921no—
1746C2×C4—2922no—
1747C2×C4—2922no—
1748C2×C4—2922no—
1749C2×C4—2922no—
1750C2×C4—2922no—
1751C2×C4—2922no—
1752C2×C4—2922no—
1753C2×C4—2922no—
1754C2×C4—2922no—
1755C2×C4—2922no—
1756C2×C4—2921no—
1757C2×C4—2921no—
1758C2×C4—5841no—
1759C2×C4—5841no—
1760C2×C4—5841no—
1761C2×C4—5841no—
1762C2×C4—731no—
1763C2×C4—731no—
1764C2×C4—731no—
1765C2×C4—731no—
1766C2×C4—731no—
1767C2×C4—731no—
1768C2×C4—731no—
1769C2×C4—1462no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4—1462no—
1774C2×C4—1462no—
1775C2×C4—1461no—
1776C2×C4—1461no—
1777C2×C4C2×D4×D7311yescharacteristic
1778C2×C4C2×D4×D7311yescharacteristic
1779C2×C4C2×D4×D7311yescharacteristic
1780C2×C4C2×D4×D7311yescharacteristic
1781C2×C4C24×D7311yescharacteristic
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—1461no—
1787C8—1461no—
1788C8—1461no—
1789C8—1461no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—2921no—
1813C22—2921no—
1814C22—2921no—
1815C22—5844no—
1816C22—5844no—
1817C22—5844no—
1818C22—732no—
1819C22—11682no—
1820C22—11682no—
1821C22—1462no—
1822C22—1461no—
1823C22—1461no—
1824C22AGL(1,ℤ/8)×D7312yes—
1825C22C22×D4×D7311yescharacteristic
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—2921no—
1837C4—2921no—
1838C4—2921no—
1839C4—732no—
1840C4—1461no—
1841C4—1461no—
1842C4—1461no—
1843C4—1461no—
1844C4—1461no—
1845C4—1461no—
1846C4H(5,𝔽2)×D7311yescharacteristic
1847C4#1798942311yescharacteristic
1848C2—22no—
1849C2—41no—
1850C2—81no—
1851C2—81no—
1852C2—2922no—
1853C2—5841no—
1854C2—5841no—
1855C2—5841no—
1856C2—5841no—
1857C2—1462no—
1858C2#2262359411yescharacteristic
1859C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1860C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3308C2
socleC22×C73C23×D4
hypercenter#3308D73
hypocenterC73#61989
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. #22623418C2semidirect
3. #22622968C2semidirect
4. #22622952C2semidirect
5. #22622720C2semidirect
6. #22622652C2semidirect
7. #22621925C2semidirect
8. #22621893C2semidirect
9. #22621886C2semidirect
10. #22621792C2semidirect
11. #22621742C2semidirect
12. #22621620C2semidirect
13. #22621605C2semidirect
14. #22621433C2semidirect
15. #22621427C2semidirect
16. #22621416C2semidirect
17. #22621414C2semidirect
18. #22621288C2semidirect
19. #22621260C2semidirect
20. #22621250C2semidirect
21. #22620919C2semidirect
22. #22620917C2semidirect
23. #22620862C2semidirect
24. #22620073C2semidirect
25. #22620066C2semidirect
26. #22619981C2semidirect
27. #22619394C2semidirect
28. C2×#17988805C2semidirect
29. #463×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3308C2semidirect
33. C2×#14556619C22semidirect
34. C2×#14556616C22semidirect
35. C22×#11924015C22semidirect
36. C2×SD16×D73C22semidirect
39. #17989319C22semidirect
40. #17989309C22semidirect
44. #17989258C22semidirect
45. #17989252C22semidirect
46. Q8×C22⋊D73C22semidirect
48. #17989247C22semidirect
50. #17989238C22semidirect
51. #17989233C22semidirect
56. #17989225C22semidirect
57. D4×D292C22semidirect
59. #17989221C22semidirect
60. #17989221C22semidirect
64. #17989138C22semidirect
65. #17989133C22semidirect
66. #17989132C22semidirect
67. #17989132C22semidirect
68. #17989124C22semidirect
69. #17989123C22semidirect
70. #17989118C22semidirect
71. C2×#14556580C22semidirect
72. #124×D73C22semidirect
78. C2×#14556553C22semidirect
79. C2×#14556553C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988976C22semidirect
83. #17988973C22semidirect
84. #17988973C22semidirect
85. #17988962C22semidirect
86. #17988958C22semidirect
87. #17988949C22semidirect
88. #17988948C22semidirect
89. #17988948C22semidirect
90. #17988936C22semidirect
91. #17988932C22semidirect
92. #17988917C22semidirect
93. #17988916C22semidirect
94. #17988905C22semidirect
95. #17988902C22semidirect
96. #17988890C22semidirect
97. #17988890C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988881C22semidirect
101. #17988875C22semidirect
102. #17988874C22semidirect
103. #17988870C22semidirect
104. #17988866C22semidirect
105. #17988840C22semidirect
106. #17988838C22semidirect
107. #17988835C22semidirect
108. #17988824C22semidirect
109. #17988824C22semidirect
110. #17988821C22semidirect
111. #17988819C22semidirect
112. #17988819C22semidirect
113. #17988816C22semidirect
114. #17988814C22semidirect
117. #17988805C22semidirect
118. #17988805C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988805C22semidirect
124. #17988805C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
128. #17988802C22semidirect
129. #17988801C22semidirect
130. #17988801C22semidirect
131. #17988801C22semidirect
132. #17988800C22semidirect
133. #17988799C22semidirect
134. #17988791C22semidirect
135. #17988791C22semidirect
136. #17988787C22semidirect
137. #17988786C22semidirect
138. #17988785C22semidirect
139. #17988783C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
143. #17988780C22semidirect
144. #17988740C22semidirect
145. #17988737C22semidirect
146. #17988736C22semidirect
147. #17988734C22semidirect
148. #17988732C22semidirect
149. #17988730C22semidirect
150. #17988727C22semidirect
151. #17988727C22semidirect
152. #17988726C22semidirect
154. #17988723C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
159. #17988720C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988700C22semidirect
163. #17988697C22semidirect
164. #17988696C22semidirect
165. #17988696C22semidirect
166. #17988686C22semidirect
167. #17988686C22semidirect
168. #17988685C22semidirect
169. #17988672C22semidirect
170. #17988672C22semidirect
172. #17988669C22semidirect
173. #17988661C22semidirect
174. #17988659C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988586C22semidirect
185. #103×D73C22semidirect
186. C2×#14556511C22semidirect
187. #102×D73C22semidirect
188. #548×C73C22semidirect
189. #547×C73C22semidirect
190. #489×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
193. #477×C73C22semidirect
194. #468×C73C22semidirect
195. #466×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#103×C73C22semidirect
793. C22⋊D73AGL(1,ℤ/8)semidirect
938. #3308D73semidirect
962. C73#61989semidirect
980. #548C2×D73semidirect
983. #547C2×D73semidirect
1023. #489C2×D73semidirect
1026. #484C2×D73semidirect
1031. #480C2×D73semidirect
1037. #477C2×D73semidirect
1045. #468C2×D73semidirect
1049. #466C2×D73semidirect
1073. #463C2×D73semidirect
1090. #449C2×D73semidirect
1094. #448C2×D73semidirect
1111. #440C2×D73semidirect
1119. #435C2×D73semidirect
1129. #417C2×D73semidirect
1131. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226234182
#226229682
#226229522
#226227202
#226226522
#226219252
#226218932
#226218862
#226217922
#226217422
#226216202
#226216052
#226214332
#226214272
#226214162
#226214142
#226212882
#226212602
#226212502
#226209192
#226209172
#226208622
#226200732
#226200662
#226199812
#226193942
C2×#179888052
#463×D732
#226190512
C73×#33082
#6198973