Finite Group Databasebeta

← #33972053

Subgroups — #33972053

Order 18688.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624156C211yesmaximal, characteristic, complemented
2#22623565C211yesmaximal, characteristic, complemented
3#22622019C211yesmaximal, characteristic, complemented
4#22622011C211yesmaximal, characteristic, complemented
5#22621899C211yesmaximal, characteristic, complemented
6#22621891C211yesmaximal, characteristic, complemented
7#22621758C211yesmaximal, characteristic, complemented
8#22621754C211yesmaximal, characteristic, complemented
9#22621747C211yesmaximal, characteristic, complemented
10#22621743C211yesmaximal, characteristic, complemented
11#22621637C211yesmaximal, characteristic, complemented
12#22621633C211yesmaximal, characteristic, complemented
13#22621615C211yesmaximal, characteristic, complemented
14#22621611C211yesmaximal, characteristic, complemented
15#22621425C211yesmaximal, characteristic, complemented
16#22621421C211yesmaximal, characteristic, complemented
17#22621410C211yesmaximal, characteristic, complemented
18#22621406C211yesmaximal, characteristic, complemented
19#22621025C211yesmaximal, characteristic, complemented
20#22620787C211yesmaximal, characteristic, complemented
21#22620779C211yesmaximal, characteristic, complemented
22#22620710C211yesmaximal, characteristic, complemented
23#22620694C211yesmaximal, characteristic, complemented
24#22620117C211yesmaximal, characteristic, complemented
25#22620109C211yesmaximal, characteristic, complemented
26#22619239C211yesmaximal, characteristic, complemented
27#22619233C211yesmaximal, characteristic, complemented
28#450×D73C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618986C211yesmaximal, characteristic, complemented
31C73×#3224C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989334—21no—
43#17989331—21no—
44#17989298C2211yescharacteristic, complemented
45#17989297C2211yescharacteristic, complemented
46#17989249C2211yescharacteristic, complemented
47#17989245C2211yescharacteristic, complemented
48#17989242C2211yescharacteristic, complemented
49#17989240C2211yescharacteristic, complemented
50#17989234—21no—
51#17989234—21no—
52#17989232C2211yescharacteristic, complemented
53#17989230—21no—
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989230C2211yescharacteristic, complemented
57#17989230C2211yescharacteristic, complemented
58#17989230C2211yescharacteristic, complemented
59#17989229—21no—
60#17989222C2211yescharacteristic
61#17989222C2211yescharacteristic
62#17989222C2211yescharacteristic, complemented
63#17989222C2211yescharacteristic, complemented
64#17989221—21no—
65#17989221—21no—
66#17989212—21no—
67#17989208C2211yescharacteristic, complemented
68#17989178—21no—
69#17989176—21no—
70#17989167—21no—
71#17989167C2211yescharacteristic, complemented
72#17989166C2211yescharacteristic, complemented
73#17989154C2211yescharacteristic, complemented
74#17989147—21no—
75#17989147—21no—
76#17989099C2211yescharacteristic
77#17989094C2211yescharacteristic
78C22⋊Q8×D73C2211yescharacteristic, complemented
79#121×D73C2211yescharacteristic, complemented
80#120×D73—21no—
81#120×D73—21no—
82#17989061C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988946C2211yescharacteristic, complemented
86#17988933C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic, complemented
92#17988908C2211yescharacteristic, complemented
93#17988904C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988878C2211yescharacteristic, complemented
100#17988874C2211yescharacteristic, complemented
101#17988868C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988839C2211yescharacteristic, complemented
104#17988837C2211yescharacteristic, complemented
105#17988832C2211yescharacteristic, complemented
106#17988830C2211yescharacteristic, complemented
107#17988827C2211yescharacteristic, complemented
108#17988825C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988820C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988784C2211yescharacteristic, complemented
126#17988779C2211yescharacteristic, complemented
127#17988752C2211yescharacteristic, complemented
128#17988749C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988741C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic, complemented
132#17988739C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988738C2211yescharacteristic, complemented
136#17988737C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988736C2211yescharacteristic, complemented
139#17988736C2211yescharacteristic, complemented
140#17988736C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988732C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic, complemented
144#17988731C2211yescharacteristic, complemented
145#17988731C2211yescharacteristic, complemented
146#17988729C2211yescharacteristic, complemented
147#17988729C2211yescharacteristic, complemented
148#17988724C2211yescharacteristic, complemented
149#17988723C2211yescharacteristic
150#17988722C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988720C2211yescharacteristic
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988700C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163C4×#11924017C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165C4×D584C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988587C2211yescharacteristic, complemented
177#17988587C2211yescharacteristic, complemented
178#102×D73C2211yescharacteristic, complemented
179#102×D73C2211yescharacteristic, complemented
180#102×D73C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556637—42no—
205#14556637—42no—
206C2×#11924029—21no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic, complemented
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028C2311yescharacteristic
213C2×#11924027C2311yescharacteristic, complemented
214C2×Q8×D73C2311yescharacteristic
215C22×D292—21no—
216C22×D292C2311yescharacteristic
217C22×C22⋊D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—42no—
228C2×D4×D73—42no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C2×D4×D73C2311yescharacteristic
236C22×C4×D73C2311yescharacteristic
237#14556618—42no—
238#14556615—42no—
239#14556614—42no—
240#14556612—42no—
241C2×#11924018C2311yescharacteristic, complemented
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic, complemented
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic, complemented
250SD16×D73—42no—
251SD16×D73—42no—
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic, complemented
259D8×D73—42no—
260D8×D73—42no—
261C2×#11924011C2311yescharacteristic, complemented
262C2×#11924011C2311yescharacteristic, complemented
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic, complemented
268C2×C8×D73C2311yescharacteristic, complemented
269#14556591C2311yescharacteristic, complemented
270#14556587—21no—
271#14556586—21no—
272#14556583—21no—
273#14556582—21no—
274#14556579—21no—
275#14556579C2311yescharacteristic, complemented
276#14556578—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556575—21no—
282#14556575D411yescharacteristic
283#14556575D411yescharacteristic
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571D411yescharacteristic
295#14556571D411yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic, complemented
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556567—21no—
309#14556567—21no—
310#14556567—21no—
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic, complemented
315#14556566—21no—
316#14556566—21no—
317#14556566D411yescharacteristic
318#14556566D411yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic, complemented
321#14556565—21no—
322#14556565C2311yescharacteristic
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556563—21no—
334#14556563—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562—21no—
338#14556562—21no—
339#14556562—21no—
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic, complemented
348#14556561—21no—
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561D411yescharacteristic
355#14556561D411yescharacteristic
356#14556560—21no—
357#14556560—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367C4×Dic146C2311yescharacteristic, complemented
368C4×D292—21no—
369C4×D292—21no—
370C4×D292C2311yescharacteristic
371C4×D292C2311yescharacteristic
372C4×D292C2311yescharacteristic
373C4×D292C2311yescharacteristic
374C4×D292C2311yescharacteristic
375C4×D292C2311yescharacteristic
376C4×D292C2311yescharacteristic
377C4×D292C2311yescharacteristic
378C4×D292C2311yescharacteristic, complemented
379#14556553—21no—
380#14556553—21no—
381#14556553—21no—
382C4×C22⋊D73—21no—
383C4×C22⋊D73—21no—
384#14556551—21no—
385#14556550C2311yescharacteristic
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic, complemented
390C4⋊C4×D73C2311yescharacteristic, complemented
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401#14556525C2311yescharacteristic, complemented
402#14556525C2311yescharacteristic, complemented
403#14556524C2311yescharacteristic, complemented
404#14556524C2311yescharacteristic, complemented
405#14556523C2311yescharacteristic, complemented
406#14556523C2311yescharacteristic, complemented
407#14556522C2311yescharacteristic, complemented
408#14556522C2311yescharacteristic, complemented
409C4⋊#10596831C2311yescharacteristic, complemented
410C4⋊#10596831C2311yescharacteristic, complemented
411#14556516C2311yescharacteristic, complemented
412#14556516C2311yescharacteristic, complemented
413#14556515C2311yescharacteristic, complemented
414#14556515C2311yescharacteristic, complemented
415#14556515C2311yescharacteristic, complemented
416#14556515C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic, complemented
422#14556513C2311yescharacteristic, complemented
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic, complemented
428#14556512C2311yescharacteristic, complemented
429#14556512C2311yescharacteristic, complemented
430#14556512C2311yescharacteristic, complemented
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic, complemented
442#14556503C2311yescharacteristic, complemented
443#14556503C2311yescharacteristic, complemented
444#14556503C2311yescharacteristic, complemented
445#14556502C2311yescharacteristic, complemented
446C4×#10596831C2311yescharacteristic, complemented
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic, complemented
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic, complemented
453C2×SD16×C73C2311yescharacteristic, complemented
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic, complemented
457C4⋊Q8×C73C2311yescharacteristic, complemented
458#127×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#126×C73—21no—
461#124×C73—21no—
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic, complemented
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#120×C73—21no—
472#120×C73—21no—
473C4×Q8×C73C2311yescharacteristic, complemented
474C4×D4×C73C2311yescharacteristic, complemented
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic, complemented
477C4⋊C8×C73C2311yescharacteristic, complemented
478#103×C73C2311yescharacteristic, complemented
479#103×C73C2311yescharacteristic, complemented
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic, complemented
485#102×C73C2311yescharacteristic, complemented
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic, complemented
489C4×C8×C73C2311yescharacteristic, complemented
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—21no—
497C23×D73—21no—
498C23×D73—44no—
499C23×D73—82no—
500C23×D73—82no—
501C23×D73C2×D411yescharacteristic
502#11924029—22no—
503#11924029—22no—
504#11924029—41no—
505#11924029—41no—
506#11924029—41no—
507#11924029—41no—
508#11924029—82no—
509#11924028—41no—
510#11924028—41no—
511#11924028—44no—
512#11924028—82no—
513#11924027—41no—
514#11924027—41no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519Q8×D73—41no—
520Q8×D73—41no—
521C2×D292—21no—
522C2×D292—22no—
523C2×D292—22no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—44no—
530C2×D292C2×D411yescharacteristic
531C2×D292C2×D411yescharacteristic
532C2×D292C2×D411yescharacteristic
533C2×D292C2×D411yescharacteristic
534C2×D292C2×D411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—44no—
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—22no—
563D4×D73—22no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—41no—
570D4×D73—41no—
571D4×D73—41no—
572D4×D73—44no—
573D4×D73—44no—
574D4×D73—44no—
575D4×D73—44no—
576D4×D73—82no—
577D4×D73—82no—
578D4×D73—82no—
579D4×D73—82no—
580D4×D73—82no—
581C22×Dic73—21no—
582C22×Dic73C2×D411yescharacteristic
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—41no—
597C2×C4×D73—41no—
598C2×C4×D73C2×D411yescharacteristic
599C2×C4×D73C2×D411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603C2×C4×D73C2411yescharacteristic
604#11924018—41no—
605#11924017—22no—
606#11924017—22no—
607#11924016—41no—
608#11924016—41no—
609#11924016—41no—
610#11924015—22no—
611#11924015—22no—
612#11924015—41no—
613D584—22no—
614D584—22no—
615#11924013—22no—
616#11924013—22no—
617#11924013—41no—
618#11924013—41no—
619#11924013—41no—
620#11924011—41no—
621#11924011—41no—
622C2×#10596831C2411yescharacteristic
623C2×#10596831C2411yescharacteristic
624C2×#10596831C2411yescharacteristic
625C2×#10596831C2411yescharacteristic
626C8×D73—41no—
627C8×D73—41no—
628C8×D73—41no—
629C8×D73—41no—
630C8×D73—41no—
631C8×D73—41no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73C2×D411yescharacteristic
636C4⋊Dic73C2×D411yescharacteristic
637C4⋊Dic73C2×D411yescharacteristic
638C4⋊Dic73C2×D411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641C4⋊Dic73C2411yescharacteristic
642C4⋊Dic73C2411yescharacteristic
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685#11924005C2×D411yescharacteristic
686#11924005C2×D411yescharacteristic
687C4×Dic73—21no—
688C4×Dic73—21no—
689C24×C73—21no—
690#41×C73—41no—
691#41×C73—41no—
692C2×Q8×C73—21no—
693C2×Q8×C73C2411yescharacteristic
694C2×Q8×C73C2411yescharacteristic
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73—41no—
703C2×D4×C73—41no—
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73C2411yescharacteristic
711Q16×C73—41no—
712SD16×C73—41no—
713SD16×C73—41no—
714SD16×C73—41no—
715SD16×C73—41no—
716D8×C73—41no—
717D8×C73—41no—
718D8×C73—41no—
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73—21no—
726C4⋊C4×C73C2×D411yescharacteristic
727C4⋊C4×C73C2×D411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73C2×D411yescharacteristic
740C22⋊C4×C73C2×D411yescharacteristic
741C42×C73—21no—
742C42×C73C2411yescharacteristic
743C42×C73C2411yescharacteristic
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—42no—
749C23×C73—81no—
750C23×C73—81no—
751C23×C73C22×D411yescharacteristic
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—24no—
755C22×D73—22no—
756C22×D73—22no—
757C22×D73—21no—
758C22×D73—41no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—42no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—81no—
777C22×D73—81no—
778C22×D73—81no—
779C22×D73—81no—
780C22×D73—81no—
781C22×D73—81no—
782C22×D73—816no—
783C22×D73C22×D411yescharacteristic
784C22×D73C22×D411yescharacteristic
785C22×D73C22×D411yescharacteristic
786C22×D73C22×D411yescharacteristic
787Q8×C73—21no—
788Q8×C73—21no—
789Q8×C73—21no—
790Q8×C73—21no—
791Q8×C73—81no—
792D4×C73—21no—
793D4×C73—21no—
794D4×C73—21no—
795D4×C73—21no—
796D4×C73—21no—
797D4×C73—21no—
798D4×C73—21no—
799D4×C73—21no—
800D4×C73—42no—
801D4×C73—42no—
802D4×C73—81no—
803D4×C73—81no—
804D4×C73—81no—
805D4×C73—81no—
806D4×C73—81no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—21no—
811C2×C4×C73—21no—
812C2×C4×C73—21no—
813C2×C4×C73—42no—
814C2×C4×C73—81no—
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C22×D411yescharacteristic
818C2×C4×C73C22×D411yescharacteristic
819C2×C4×C73C22×D411yescharacteristic
820C2×C4×C73C2511yescharacteristic
821C22⋊D73—41no—
822C22⋊D73—41no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—41no—
846C2×Dic73—81no—
847C2×Dic73C22×D411yescharacteristic
848C2×Dic73C22×D411yescharacteristic
849C2×Dic73C22×D411yescharacteristic
850C2×Dic73C22×D411yescharacteristic
851D292—24no—
852D292—22no—
853D292—22no—
854D292—22no—
855D292—22no—
856D292—21no—
857D292—21no—
858D292—21no—
859D292—21no—
860D292—41no—
861D292—42no—
862D292—42no—
863D292—42no—
864D292—81no—
865D292—81no—
866D292H(5,𝔽2)12yes—
867D292H(5,𝔽2)12yes—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—21no—
874C4×D73—21no—
875C4×D73—21no—
876C4×D73—41no—
877C4×D73—41no—
878C4×D73—42no—
879C4×D73—42no—
880C4×D73—42no—
881C4×D73—81no—
882C4×D73—81no—
883C4×D73—81no—
884C4×D73—81no—
885C4×D73—81no—
886C4×D73—81no—
887C4×D73—81no—
888C4×D73—81no—
889C4×D73—81no—
890C4×D73—81no—
891Dic146—21no—
892Dic146—21no—
893Dic146—41no—
894Dic146—81no—
895Dic146—81no—
896C8×C73—21no—
897C8×C73—21no—
898C8×C73—21no—
899C8×C73—21no—
900#10596831—21no—
901#10596831—21no—
902#10596831—21no—
903#10596831—21no—
904C22×C73—21no—
905C22×C73—21no—
906C22×C73—21no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—84no—
920C22×C73C23×D411yescharacteristic
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—22no—
928C2×D73—22no—
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—44no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—84no—
942C2×D73—84no—
943C2×D73—84no—
944C2×D73—84no—
945C2×D73—84no—
946C2×D73—162no—
947C2×D73—162no—
948C2×D73—162no—
949C2×D73#57612yes—
950C2×D73#57712yes—
951C4×C73—21no—
952C4×C73—21no—
953C4×C73—21no—
954C4×C73—21no—
955C4×C73—21no—
956C4×C73—41no—
957C4×C73—41no—
958C4×C73—41no—
959C4×C73—41no—
960C4×C73C2×H(5,𝔽2)11yescharacteristic
961C4×C73C2×H(5,𝔽2)11yescharacteristic
962Dic73—21no—
963Dic73—21no—
964Dic73—21no—
965Dic73—21no—
966Dic73—41no—
967Dic73—41no—
968Dic73—41no—
969Dic73—41no—
970Dic73—41no—
971#61629—731nomaximal, Sylow
972C2×C73—41no—
973C2×C73—81no—
974C2×C73—81no—
975C2×C73—81no—
976C2×C73—81no—
977C2×C73#348411yescharacteristic
978C2×C73C2×#57611yescharacteristic
979C2×C73C2×#57711yescharacteristic
980D73—22no—
981D73—22no—
982D73—41no—
983D73—41no—
984D73—42no—
985D73—42no—
986D73—81no—
987#3536—731no—
988#3484—731no—
989#3314—731no—
990#3314—731no—
991#3306—731no—
992#3306—731no—
993#3295—731no—
994#3295—731no—
995#3294—731no—
996#3294—731no—
997#3282—731no—
998#3282—731no—
999#3280—731no—
1000#3280—731no—
1001#3265—731no—
1002#3265—731no—
1003#3264—731no—
1004#3264—731no—
1005#3224—731no—
1006#3224D7311yescharacteristic, complemented
1007#3198—731no—
1008#3198—731no—
1009#3190—731no—
1010#3188—731no—
1011#3118—731no—
1012#3118—731no—
1013#3012—731no—
1014#3012—731no—
1015C2×#450—731no—
1016C2×#447—731no—
1017#2977—731no—
1018C73#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—731no—
1020C23×D4—731no—
1021C2×AGL(1,ℤ/8)—731no—
1022C2×AGL(1,ℤ/8)—731no—
1023C2×#135—731no—
1024C2×#135—731no—
1025C22×SD16—731no—
1026C22×SD16—731no—
1027C22×D8—731no—
1028C22×D8—731no—
1029#562—1461no—
1030#562—1461no—
1031#554—731no—
1032#554—731no—
1033#548—731no—
1034#548—731no—
1035#547—731no—
1036#547—731no—
1037#546—731no—
1038#546—731no—
1039#546—731no—
1040#546—731no—
1041#546—731no—
1042#546—731no—
1043#546—1461no—
1044#546—1461no—
1045#546—1461no—
1046#546—1461no—
1047D42—731no—
1048D42—731no—
1049D42—731no—
1050D42—731no—
1051D42—1461no—
1052D42—1461no—
1053#543—1461no—
1054#542—731no—
1055#542C2×D7311yescharacteristic, complemented
1056#539—1461no—
1057#538—1461no—
1058#537—731no—
1059#537—731no—
1060#537—1461no—
1061#535—731no—
1062#535C2×D7311yescharacteristic, complemented
1063#534—1461no—
1064#534—1461no—
1065#525—731no—
1066#525—731no—
1067C2×C22⋊Q8—731no—
1068C2×#121—731no—
1069C2×#120—1461no—
1070C2×#120—1461no—
1071#518—731no—
1072#496—731no—
1073#496C2×D7311yescharacteristic, complemented
1074#495—731no—
1075#495C2×D7311yescharacteristic, complemented
1076#489—731no—
1077#489C2×D7311yescharacteristic, complemented
1078#486—731no—
1079#486C2×D7311yescharacteristic, complemented
1080#485—731no—
1081#485—731no—
1082#484—731no—
1083#483—731no—
1084#482—731no—
1085#482—731no—
1086#481—731no—
1087#481—731no—
1088#481—731no—
1089#480—731no—
1090#480—731no—
1091#480—731no—
1092#476—731no—
1093#476—731no—
1094#474—731no—
1095#474—731no—
1096#469—731no—
1097#469—731no—
1098#468—731no—
1099#468—731no—
1100#467—731no—
1101#467—731no—
1102#466—731no—
1103#466—731no—
1104#466—731no—
1105#466—731no—
1106#465—731no—
1107#465—731no—
1108#465—731no—
1109#465—731no—
1110#465—731no—
1111#465—731no—
1112#464—731no—
1113#464C2×D7311yescharacteristic, complemented
1114#463—731no—
1115#463—731no—
1116#463—731no—
1117#463—731no—
1118#463—731no—
1119#463C2×D7311yescharacteristic, complemented
1120#460—731no—
1121#460C2×D7311yescharacteristic, complemented
1122#459—731no—
1123#459C2×D7311yescharacteristic, complemented
1124#452—731no—
1125#452—731no—
1126#452—731no—
1127#452C2×D7311yescharacteristic, complemented
1128#451—731no—
1129#450—731no—
1130#450—731no—
1131#450—731no—
1132#450—731no—
1133#450—731no—
1134#450—731no—
1135#450—731no—
1136#450—731no—
1137#450—731no—
1138#450—731no—
1139#450C2×D7311yescharacteristic, complemented
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449—731no—
1147#449C2×D7311yescharacteristic, complemented
1148#448—731no—
1149#447—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447—731no—
1159#447C2×D7311yescharacteristic, complemented
1160#442—731no—
1161#442—731no—
1162#440—731no—
1163#440—731no—
1164C4×SD16—731no—
1165C4×SD16—731no—
1166C4×D8—731no—
1167C4×D8—731no—
1168#435—731no—
1169#435—731no—
1170#435—731no—
1171#435—731no—
1172C8×D4—731no—
1173C8×D4—731no—
1174C8×D4—731no—
1175C8×D4—731no—
1176#433—731no—
1177#433C2×D7311yescharacteristic, complemented
1178#417—731no—
1179#417—731no—
1180C2×#102—731no—
1181C2×#102—731no—
1182C2×#102—731no—
1183C2×#102—731no—
1184C2×#102—731no—
1185C2×#102—731no—
1186#408—731no—
1187#408—731no—
1188C2×C22⋊C8—731no—
1189C2×C22⋊C8—731no—
1190C25—1461no—
1191H(5,𝔽2)—2922no—
1192H(5,𝔽2)—2922no—
1193C2×#41—731no—
1194C2×#41—731no—
1195C2×#41—731no—
1196C2×#41—731no—
1197C2×#41—731no—
1198C2×#41—1461no—
1199C2×#41—1461no—
1200C2×#41—1461no—
1201C2×#41C22×D7311yescharacteristic
1202C22×Q8—731no—
1203C22×D4—2922no—
1204C22×D4—2922no—
1205C22×D4—731no—
1206C22×D4—731no—
1207C22×D4—731no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—731no—
1212C22×D4—731no—
1213C22×D4—1461no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4—1461no—
1223C22×D4—1461no—
1224C22×D4C22×D7311yescharacteristic
1225C23×C4—731no—
1226AGL(1,ℤ/8)—2922no—
1227AGL(1,ℤ/8)—2922no—
1228#135—2922no—
1229#135—2922no—
1230C2×Q16—731no—
1231C2×Q16C22×D7311yescharacteristic, complemented
1232C2×SD16—2922no—
1233C2×SD16—2922no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16—731no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16—731no—
1242C2×SD16C22×D7311yescharacteristic
1243C2×SD16C22×D7311yescharacteristic
1244C2×SD16C22×D7311yescharacteristic, complemented
1245C2×SD16C22×D7311yescharacteristic, complemented
1246C2×D8—2922no—
1247C2×D8—2922no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8C22×D7311yescharacteristic
1256C2×D8C22×D7311yescharacteristic
1257C2×D8C22×D7311yescharacteristic, complemented
1258C2×M16—731no—
1259C2×M16—731no—
1260C22×C8—731no—
1261C22×C8—731no—
1262C22×C8—731no—
1263C22×C8—731no—
1264C22×C8—731no—
1265C22×C8—731no—
1266C4⋊Q8—731no—
1267C4⋊Q8C22×D7311yescharacteristic, complemented
1268#127—1461no—
1269#127C22×D7311yescharacteristic
1270#127C22×D7311yescharacteristic
1271#126—21no—
1272#126—1461no—
1273#125—1461no—
1274#125—1461no—
1275#124—21no—
1276#124—731no—
1277#124—1461no—
1278#124—1461no—
1279#124—1461no—
1280#124—1461no—
1281#124C22×D7311yescharacteristic
1282#124C22×D7311yescharacteristic
1283#124C22×D7311yescharacteristic, complemented
1284#123—21no—
1285#123—731no—
1286#123—731no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299C22⋊Q8—21no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—731no—
1304C22⋊Q8—731no—
1305C22⋊Q8—731no—
1306C22⋊Q8—731no—
1307C22⋊Q8—731no—
1308C22⋊Q8—731no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313C22⋊Q8—1461no—
1314C22⋊Q8—1461no—
1315C22⋊Q8—1461no—
1316C22⋊Q8—1461no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8—1461no—
1321C22⋊Q8—1461no—
1322C22⋊Q8C22×D7311yescharacteristic
1323#121—21no—
1324#121—21no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—731no—
1332#121—731no—
1333#121—731no—
1334#121—731no—
1335#121—731no—
1336#121—731no—
1337#121—731no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121C22×D7311yescharacteristic
1359#120—21no—
1360#120—21no—
1361#120—731no—
1362#120—731no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377#120—1461no—
1378#120—1461no—
1379#120—1461no—
1380C4×Q8—731no—
1381C4×Q8C22×D7311yescharacteristic, complemented
1382C4×D4—731no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—731no—
1389C4×D4—731no—
1390C4×D4—731no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4—1461no—
1399C4×D4C22×D7311yescharacteristic, complemented
1400#117—731no—
1401#117C22×D7311yescharacteristic
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—1461no—
1407C2×C22⋊C4—1461no—
1408C2×C22⋊C4—1461no—
1409C2×C22⋊C4—1461no—
1410C2×C22⋊C4—1461no—
1411C2×C22⋊C4—1461no—
1412C2×C22⋊C4—1461no—
1413C2×C22⋊C4—1461no—
1414C2×C22⋊C4—1461no—
1415C2×C22⋊C4—1461no—
1416C2×C22⋊C4—1461no—
1417#107—731no—
1418#107—731no—
1419#107—731no—
1420#107—731no—
1421#106—731no—
1422#106—731no—
1423#106—731no—
1424#106—731no—
1425C4⋊C8—731no—
1426C4⋊C8—731no—
1427C4⋊C8C22×D7311yescharacteristic, complemented
1428C4⋊C8C22×D7311yescharacteristic, complemented
1429#103—731no—
1430#103—731no—
1431#103—731no—
1432#103—731no—
1433#103—731no—
1434#103—731no—
1435#103C22×D7311yescharacteristic, complemented
1436#103C22×D7311yescharacteristic, complemented
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102—731no—
1451#102—731no—
1452#102—731no—
1453#102—731no—
1454#102—731no—
1455#102C22×D7311yescharacteristic
1456#102C22×D7311yescharacteristic
1457#102C22×D7311yescharacteristic
1458#102C22×D7311yescharacteristic
1459#102C22×D7311yescharacteristic, complemented
1460#102C22×D7311yescharacteristic, complemented
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8—731no—
1465C22⋊C8—731no—
1466C22⋊C8—731no—
1467C22⋊C8—731no—
1468C22⋊C8—731no—
1469C22⋊C8—731no—
1470C22⋊C8—731no—
1471C22⋊C8C22×D7311yescharacteristic
1472C22⋊C8C22×D7311yescharacteristic
1473#97—731no—
1474#97C22×D7311yescharacteristic, complemented
1475C4×C8—731no—
1476C4×C8C22×D7311yescharacteristic, complemented
1477C24—21no—
1478C24—2924no—
1479C24—5842no—
1480C24—5842no—
1481C24—731no—
1482C24—1461no—
1483C24—1461no—
1484C24—1461no—
1485C24—1461no—
1486C24—1461no—
1487C24—1461no—
1488C24—1461no—
1489C24—1461no—
1490#41—41no—
1491#41—41no—
1492#41—2921no—
1493#41—2921no—
1494#41—2924no—
1495#41—2921no—
1496#41—2921no—
1497#41—2921no—
1498#41—2921no—
1499#41—2921no—
1500#41—2921no—
1501#41—5842no—
1502#41—5842no—
1503#41—1462no—
1504#41—1462no—
1505C2×Q8—21no—
1506C2×Q8—2921no—
1507C2×Q8—2921no—
1508C2×Q8—731no—
1509C2×Q8—731no—
1510C2×Q8—1461no—
1511C2×Q8—1461no—
1512C2×Q8C23×D7311yescharacteristic
1513C2×Q8C23×D7311yescharacteristic
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—2924no—
1524C2×D4—2924no—
1525C2×D4—2924no—
1526C2×D4—2924no—
1527C2×D4—2924no—
1528C2×D4—2924no—
1529C2×D4—2921no—
1530C2×D4—2921no—
1531C2×D4—2921no—
1532C2×D4—2921no—
1533C2×D4—2921no—
1534C2×D4—2921no—
1535C2×D4—2921no—
1536C2×D4—2921no—
1537C2×D4—5842no—
1538C2×D4—5842no—
1539C2×D4—5842no—
1540C2×D4—5842no—
1541C2×D4—5842no—
1542C2×D4—731no—
1543C2×D4—731no—
1544C2×D4—731no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1462no—
1558C2×D4—1462no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1462no—
1567C2×D4—1462no—
1568C2×D4—1462no—
1569C2×D4—1462no—
1570C2×D4—1462no—
1571C2×D4—1462no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4C23×D7311yescharacteristic
1584C2×D4C23×D7311yescharacteristic
1585C2×D4C23×D7311yescharacteristic
1586C2×D4C23×D7311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—2921no—
1590C22×C4—2921no—
1591C22×C4—731no—
1592C22×C4—731no—
1593C22×C4—731no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—1461no—
1599C22×C4—1461no—
1600C22×C4—1461no—
1601C22×C4—1461no—
1602C22×C4—1461no—
1603C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1613Q16—41no—
1614Q16—2921no—
1615SD16—41no—
1616SD16—41no—
1617SD16—41no—
1618SD16—41no—
1619SD16—2921no—
1620SD16—2921no—
1621SD16—2921no—
1622SD16—2921no—
1623SD16—1462no—
1624SD16—1462no—
1625SD16—1462no—
1626SD16—1462no—
1627D8—41no—
1628D8—41no—
1629D8—41no—
1630D8—2921no—
1631D8—2921no—
1632D8—2921no—
1633D8—1462no—
1634D8—1462no—
1635D8—1462no—
1636D8—1462no—
1637M16—2921no—
1638M16—2921no—
1639C2×C8—2921no—
1640C2×C8—2921no—
1641C2×C8—2921no—
1642C2×C8—2921no—
1643C2×C8—2921no—
1644C2×C8—2921no—
1645C2×C8—731no—
1646C2×C8—731no—
1647C2×C8—731no—
1648C2×C8—731no—
1649C2×C8C23×D7311yescharacteristic
1650C2×C8C23×D7311yescharacteristic
1651C2×C8C23×D7311yescharacteristic
1652C2×C8C23×D7311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—731no—
1657C4⋊C4—731no—
1658C4⋊C4—731no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—731no—
1663C4⋊C4—731no—
1664C4⋊C4—1461no—
1665C4⋊C4—1461no—
1666C4⋊C4—1461no—
1667C4⋊C4—1461no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4D4×D7311yescharacteristic
1678C4⋊C4D4×D7311yescharacteristic
1679C4⋊C4C23×D7311yescharacteristic
1680C4⋊C4C23×D7311yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—731no—
1691C22⋊C4—731no—
1692C22⋊C4—731no—
1693C22⋊C4—731no—
1694C22⋊C4—731no—
1695C22⋊C4—731no—
1696C22⋊C4—731no—
1697C22⋊C4—731no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4D4×D7311yescharacteristic
1725C22⋊C4D4×D7311yescharacteristic
1726C42—21no—
1727C42—1461no—
1728C42—1461no—
1729C42C23×D7311yescharacteristic
1730C42C23×D7311yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—81no—
1737C23—81no—
1738C23—2921no—
1739C23—2922no—
1740C23—2922no—
1741C23—2922no—
1742C23—2922no—
1743C23—2922no—
1744C23—2922no—
1745C23—2922no—
1746C23—2922no—
1747C23—2922no—
1748C23—2922no—
1749C23—2922no—
1750C23—5841no—
1751C23—5841no—
1752C23—5841no—
1753C23—5841no—
1754C23—5841no—
1755C23—5841no—
1756C23—5841no—
1757C23—5841no—
1758C23—5841no—
1759C23—5841no—
1760C23—5841no—
1761C23—5841no—
1762C23—58416no—
1763C23—731no—
1764C23—731no—
1765C23—731no—
1766C23—731no—
1767C23—1462no—
1768C23—1462no—
1769C23—1464no—
1770C23—1461no—
1771C23—1461no—
1772C23—1461no—
1773C23C2×D4×D7311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—81no—
1779Q8—2921no—
1780Q8—5841no—
1781Q8—5841no—
1782Q8—1461no—
1783Q8—1461no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—2921no—
1800D4—2922no—
1801D4—2922no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2922no—
1806D4—2921no—
1807D4—2921no—
1808D4—2922no—
1809D4—2922no—
1810D4—2922no—
1811D4—2922no—
1812D4—2922no—
1813D4—2922no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—5841no—
1820D4—5841no—
1821D4—5841no—
1822D4—5841no—
1823D4—5841no—
1824D4—732no—
1825D4—732no—
1826D4—1462no—
1827D4—1462no—
1828D4—1462no—
1829D4—1462no—
1830D4—1464no—
1831D4—1461no—
1832D4—1461no—
1833D4—1461no—
1834D4—1461no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—2921no—
1844C2×C4—2921no—
1845C2×C4—2922no—
1846C2×C4—2922no—
1847C2×C4—2922no—
1848C2×C4—2921no—
1849C2×C4—5841no—
1850C2×C4—5841no—
1851C2×C4—5841no—
1852C2×C4—5841no—
1853C2×C4—5841no—
1854C2×C4—5841no—
1855C2×C4—5841no—
1856C2×C4—5841no—
1857C2×C4—5841no—
1858C2×C4—5841no—
1859C2×C4—5841no—
1860C2×C4—731no—
1861C2×C4—731no—
1862C2×C4—731no—
1863C2×C4—731no—
1864C2×C4—1461no—
1865C2×C4—1461no—
1866C2×C4—1461no—
1867C2×C4—1461no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4—1461no—
1874C2×C4—1461no—
1875C2×C4—1461no—
1876C2×C4—1461no—
1877C2×C4C2×D4×D7311yescharacteristic
1878C2×C4C2×D4×D7311yescharacteristic
1879C2×C4C2×D4×D7311yescharacteristic
1880C2×C4C2×D4×D7311yescharacteristic
1881C2×C4C2×D4×D7311yescharacteristic
1882C2×C4C24×D7311yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1461no—
1888C8—1461no—
1889C8—1461no—
1890C8—1461no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—84no—
1907C22—2924no—
1908C22—2921no—
1909C22—2921no—
1910C22—2921no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—5844no—
1916C22—5844no—
1917C22—5844no—
1918C22—5844no—
1919C22—5844no—
1920C22—732no—
1921C22—732no—
1922C22—11682no—
1923C22—11682no—
1924C22—11682no—
1925C22—1462no—
1926C22—1462no—
1927C22—1461no—
1928C22—1461no—
1929C22—1461no—
1930C22—1461no—
1931C22—1461no—
1932C22—1461no—
1933C22—1461no—
1934C22—1461no—
1935C22—1461no—
1936C22—1461no—
1937C22C22×D4×D7311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—2921no—
1948C4—2921no—
1949C4—2921no—
1950C4—2921no—
1951C4—2921no—
1952C4—1461no—
1953C4—1461no—
1954C4—1461no—
1955C4—1461no—
1956C4H(5,𝔽2)×D7311yescharacteristic
1957C4H(5,𝔽2)×D7311yescharacteristic
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—81no—
1963C2—2922no—
1964C2—2922no—
1965C2—2921no—
1966C2—2921no—
1967C2—5841no—
1968C2—1462no—
1969C2—1462no—
1970C2#2262356511yescharacteristic
1971C2#576×D7311yescharacteristic
1972C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3224C2
socleC22×C73C23×D4
hypercenter#3224D73
hypocenterC73#61629
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22624156C2semidirect
2. #22623565C2semidirect
3. #22622019C2semidirect
4. #22622011C2semidirect
5. #22621899C2semidirect
6. #22621891C2semidirect
7. #22621758C2semidirect
8. #22621754C2semidirect
9. #22621747C2semidirect
10. #22621743C2semidirect
11. #22621637C2semidirect
12. #22621633C2semidirect
13. #22621615C2semidirect
14. #22621611C2semidirect
15. #22621425C2semidirect
16. #22621421C2semidirect
17. #22621410C2semidirect
18. #22621406C2semidirect
19. #22621025C2semidirect
20. #22620787C2semidirect
21. #22620779C2semidirect
22. #22620710C2semidirect
23. #22620694C2semidirect
24. #22620117C2semidirect
25. #22620109C2semidirect
26. #22619239C2semidirect
27. #22619233C2semidirect
28. #450×D73C2semidirect
29. #447×D73C2semidirect
30. #22618986C2semidirect
31. C73×#3224C2semidirect
32. C2×#14556637C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556615C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556612C22semidirect
38. C2×SD16×D73C22semidirect
39. C2×SD16×D73C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
44. #17989298C22semidirect
45. #17989297C22semidirect
46. #17989249C22semidirect
47. #17989245C22semidirect
48. #17989242C22semidirect
49. #17989240C22semidirect
52. #17989232C22semidirect
56. #17989230C22semidirect
57. #17989230C22semidirect
58. #17989230C22semidirect
62. #17989222C22semidirect
63. #17989222C22semidirect
67. #17989208C22semidirect
71. #17989167C22semidirect
72. #17989166C22semidirect
73. #17989154C22semidirect
78. C22⋊Q8×D73C22semidirect
79. #121×D73C22semidirect
82. #17989061C22semidirect
83. #17988974C22semidirect
84. #17988969C22semidirect
85. #17988946C22semidirect
86. #17988933C22semidirect
87. #17988929C22semidirect
88. #17988925C22semidirect
89. #17988921C22semidirect
90. #17988916C22semidirect
91. #17988912C22semidirect
92. #17988908C22semidirect
93. #17988904C22semidirect
94. #17988904C22semidirect
95. #17988904C22semidirect
96. #17988899C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988878C22semidirect
100. #17988874C22semidirect
101. #17988868C22semidirect
102. #17988864C22semidirect
103. #17988839C22semidirect
104. #17988837C22semidirect
105. #17988832C22semidirect
106. #17988830C22semidirect
107. #17988827C22semidirect
108. #17988825C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988820C22semidirect
112. #17988820C22semidirect
113. #17988819C22semidirect
114. #17988815C22semidirect
115. #17988815C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988813C22semidirect
119. #17988806C22semidirect
120. #17988803C22semidirect
121. #17988803C22semidirect
122. #17988799C22semidirect
123. #17988799C22semidirect
124. #17988799C22semidirect
125. #17988784C22semidirect
126. #17988779C22semidirect
127. #17988752C22semidirect
128. #17988749C22semidirect
129. #17988748C22semidirect
130. #17988741C22semidirect
131. #17988740C22semidirect
132. #17988739C22semidirect
133. #17988739C22semidirect
134. #17988739C22semidirect
135. #17988738C22semidirect
136. #17988737C22semidirect
137. #17988736C22semidirect
138. #17988736C22semidirect
139. #17988736C22semidirect
140. #17988736C22semidirect
141. #17988735C22semidirect
142. #17988732C22semidirect
143. #17988731C22semidirect
144. #17988731C22semidirect
145. #17988731C22semidirect
146. #17988729C22semidirect
147. #17988729C22semidirect
148. #17988724C22semidirect
150. #17988722C22semidirect
151. #17988722C22semidirect
152. #17988722C22semidirect
153. #17988721C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988700C22semidirect
160. #17988697C22semidirect
161. #17988689C22semidirect
162. #17988685C22semidirect
163. C4×#11924017C22semidirect
164. C4×#11924015C22semidirect
165. C4×D584C22semidirect
166. C4×#11924013C22semidirect
167. #17988660C22semidirect
168. #17988660C22semidirect
169. #17988657C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×D292C22semidirect
173. #17988652C22semidirect
174. #17988652C22semidirect
175. #17988648C22semidirect
176. #17988587C22semidirect
177. #17988587C22semidirect
178. #102×D73C22semidirect
179. #102×D73C22semidirect
180. #102×D73C22semidirect
181. #102×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988552C22semidirect
185. #17988552C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
188. #542×C73C22semidirect
189. #535×C73C22semidirect
190. #496×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #486×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #459×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #433×C73C22semidirect
209. C2×#11924029C23semidirect
213. C2×#11924027C23semidirect
241. C2×#11924018C23semidirect
246. C2×#11924016C23semidirect
249. C2×#11924015C23semidirect
258. C2×#11924013C23semidirect
261. C2×#11924011C23semidirect
262. C2×#11924011C23semidirect
267. C2×C8×D73C23semidirect
268. C2×C8×D73C23semidirect
269. #14556591C23semidirect
275. #14556579C23semidirect
297. #14556571C23semidirect
314. #14556567C23semidirect
320. #14556566C23semidirect
347. #14556562C23semidirect
367. C4×Dic146C23semidirect
378. C4×D292C23semidirect
389. C4⋊C4×D73C23semidirect
390. C4⋊C4×D73C23semidirect
401. #14556525C23semidirect
402. #14556525C23semidirect
403. #14556524C23semidirect
404. #14556524C23semidirect
405. #14556523C23semidirect
406. #14556523C23semidirect
407. #14556522C23semidirect
408. #14556522C23semidirect
409. C4⋊#10596831C23semidirect
410. C4⋊#10596831C23semidirect
411. #14556516C23semidirect
412. #14556516C23semidirect
413. #14556515C23semidirect
414. #14556515C23semidirect
415. #14556515C23semidirect
416. #14556515C23semidirect
421. #14556513C23semidirect
422. #14556513C23semidirect
427. #14556512C23semidirect
428. #14556512C23semidirect
429. #14556512C23semidirect
430. #14556512C23semidirect
441. #14556503C23semidirect
442. #14556503C23semidirect
443. #14556503C23semidirect
444. #14556503C23semidirect
445. #14556502C23semidirect
446. C4×#10596831C23semidirect
449. C2×Q16×C73C23semidirect
452. C2×SD16×C73C23semidirect
453. C2×SD16×C73C23semidirect
456. C2×D8×C73C23semidirect
457. C4⋊Q8×C73C23semidirect
464. #124×C73C23semidirect
473. C4×Q8×C73C23semidirect
474. C4×D4×C73C23semidirect
476. C4⋊C8×C73C23semidirect
477. C4⋊C8×C73C23semidirect
478. #103×C73C23semidirect
479. #103×C73C23semidirect
484. #102×C73C23semidirect
485. #102×C73C23semidirect
488. #97×C73C23semidirect
489. C4×C8×C73C23semidirect
1006. #3224D73semidirect
1018. C73#61629semidirect
1055. #542C2×D73semidirect
1062. #535C2×D73semidirect
1073. #496C2×D73semidirect
1075. #495C2×D73semidirect
1077. #489C2×D73semidirect
1079. #486C2×D73semidirect
1113. #464C2×D73semidirect
1119. #463C2×D73semidirect
1121. #460C2×D73semidirect
1123. #459C2×D73semidirect
1127. #452C2×D73semidirect
1139. #450C2×D73semidirect
1147. #449C2×D73semidirect
1159. #447C2×D73semidirect
1177. #433C2×D73semidirect
1231. C2×Q16C22×D73semidirect
1244. C2×SD16C22×D73semidirect
1245. C2×SD16C22×D73semidirect
1257. C2×D8C22×D73semidirect
1267. C4⋊Q8C22×D73semidirect
1283. #124C22×D73semidirect
1381. C4×Q8C22×D73semidirect
1399. C4×D4C22×D73semidirect
1427. C4⋊C8C22×D73semidirect
1428. C4⋊C8C22×D73semidirect
1435. #103C22×D73semidirect
1436. #103C22×D73semidirect
1459. #102C22×D73semidirect
1460. #102C22×D73semidirect
1474. #97C22×D73semidirect
1476. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226241562
#226235652
#226220192
#226220112
#226218992
#226218912
#226217582
#226217542
#226217472
#226217432
#226216372
#226216332
#226216152
#226216112
#226214252
#226214212
#226214102
#226214062
#226210252
#226207872
#226207792
#226207102
#226206942
#226201172
#226201092
#226192392
#226192332
#450×D732
#447×D732
#226189862
C73×#32242
#6162973