Finite Group Databasebeta

← #33972839

Subgroups — #33972839

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624291C211yesmaximal, characteristic, complemented
2#22623691C211yesmaximal, characteristic, complemented
3#22622078C211yesmaximal, characteristic, complemented
4#22622076C211yesmaximal, characteristic, complemented
5#22621974C211yesmaximal, characteristic, complemented
6#22621972C211yesmaximal, characteristic, complemented
7#22621902C211yesmaximal, characteristic, complemented
8#22621900C211yesmaximal, characteristic, complemented
9#22621894C211yesmaximal, characteristic, complemented
10#22621892C211yesmaximal, characteristic, complemented
11#22621472C211yesmaximal, characteristic, complemented
12#22621460C211yesmaximal, characteristic, complemented
13#22621456C211yesmaximal, characteristic, complemented
14#22621414C211yesmaximal, characteristic, complemented
15#22621410C211yesmaximal, characteristic, complemented
16#22621406C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22620973C211yesmaximal, characteristic, complemented
19#22620921C211yesmaximal, characteristic, complemented
20#22620840C211yesmaximal, characteristic, complemented
21#22620839C211yesmaximal, characteristic, complemented
22#22620784C211yesmaximal, characteristic, complemented
23#22620776C211yesmaximal, characteristic, complemented
24#22620073C211yesmaximal, characteristic, complemented
25#22620021C211yesmaximal, characteristic, complemented
26#22619234C211yesmaximal, characteristic, complemented
27#22619231C211yesmaximal, characteristic, complemented
28#22619196C211yesmaximal, characteristic, complemented
29#22619194C211yesmaximal, characteristic, complemented
30#22618999C211yesmaximal, characteristic, complemented
31C73×#3268C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#14556636C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40#17989325—21no—
41#17989325—21no—
42#17989310C2211yescharacteristic, complemented
43#17989289C2211yescharacteristic, complemented
44#17989289C2211yescharacteristic, complemented
45#17989257—21no—
46#17989241C2211yescharacteristic, complemented
47#17989239C2211yescharacteristic, complemented
48#17989236C2211yescharacteristic, complemented
49#17989235—21no—
50#17989233C2211yescharacteristic, complemented
51#17989232—21no—
52#17989232C2211yescharacteristic
53#17989230C2211yescharacteristic
54#17989227—21no—
55#17989226—21no—
56#17989225C2211yescharacteristic, complemented
57#17989225C2211yescharacteristic, complemented
58#17989222C2211yescharacteristic, complemented
59#17989221C2211yescharacteristic, complemented
60D4×C22⋊D73C2211yescharacteristic, complemented
61#17989219—21no—
62#17989202—21no—
63#17989174—21no—
64#17989174—21no—
65#17989167C2211yescharacteristic, complemented
66#17989166C2211yescharacteristic, complemented
67#17989165C2211yescharacteristic, complemented
68#17989165C2211yescharacteristic, complemented
69#17989153C2211yescharacteristic, complemented
70#17989153C2211yescharacteristic, complemented
71#17989150—21no—
72#17989148—21no—
73#17989147—21no—
74#17989136C2211yescharacteristic, complemented
75#17989135C2211yescharacteristic, complemented
76#17989134C2211yescharacteristic
77#17989124C2211yescharacteristic, complemented
78C2×#14556564—21no—
79#121×D73—21no—
80C4×D4×D73C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988877C2211yescharacteristic, complemented
104#17988844C2211yescharacteristic, complemented
105#17988842C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988790C2211yescharacteristic, complemented
124#17988790C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988749C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988735C2211yescharacteristic, complemented
139#17988734C2211yescharacteristic, complemented
140#17988733C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988732C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic, complemented
144#17988731C2211yescharacteristic, complemented
145#17988731C2211yescharacteristic, complemented
146#17988730C2211yescharacteristic, complemented
147#17988729C2211yescharacteristic, complemented
148#17988729C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988723C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic
152#17988722C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988720C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988699C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988589C2211yescharacteristic, complemented
179#17988588C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#550×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×D292—21no—
219C22×D292C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C22×C4×D73—21no—
234#14556618—42no—
235#14556616—42no—
236#14556615—42no—
237#14556611—42no—
238C2×#11924018C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924016C2311yescharacteristic
242C2×#11924015C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×D584C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253D8×D73—42no—
254D8×D73—42no—
255C2×#11924012C2311yescharacteristic
256C2×#11924011C2311yescharacteristic
257C2×#11924011C2311yescharacteristic
258C22×#10596831C2311yescharacteristic
259C2×C8×D73C2311yescharacteristic
260C2×C8×D73C2311yescharacteristic
261#14556591C2311yescharacteristic
262#14556590D411yescharacteristic
263#14556589C2311yescharacteristic
264#14556587—21no—
265#14556587—21no—
266#14556587D411yescharacteristic
267#14556587C2311yescharacteristic
268#14556586—21no—
269#14556586—21no—
270#14556586—21no—
271#14556584—21no—
272#14556584—21no—
273#14556582C2311yescharacteristic
274#14556580C2311yescharacteristic
275#14556579—21no—
276#14556579C2311yescharacteristic
277#14556578—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577D411yescharacteristic
281#14556577D411yescharacteristic
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556575—21no—
287#14556575—21no—
288#14556575—21no—
289#14556575—21no—
290#14556574—21no—
291#14556574—21no—
292#14556574—21no—
293#14556573—21no—
294#14556573—21no—
295#14556572—21no—
296#14556571—21no—
297#14556571C2311yescharacteristic
298#14556570—21no—
299#14556570—21no—
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556568—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556566—21no—
308#14556566D411yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
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#14556564—21no—
325#14556564—21no—
326#14556564D411yescharacteristic
327#14556564D411yescharacteristic
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562D411yescharacteristic
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556561—21no—
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556560—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363C4×Dic146—21no—
364C4×D292—21no—
365C4×D292C2311yescharacteristic
366C4×D292C2311yescharacteristic
367C4×D292C2311yescharacteristic
368D4×Dic73—21no—
369D4×Dic73—21no—
370D4×Dic73—21no—
371D4×Dic73C2311yescharacteristic
372D4×Dic73C2311yescharacteristic
373D4×Dic73C2311yescharacteristic
374#14556553C2311yescharacteristic
375C4×C22⋊D73—21no—
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556549C2311yescharacteristic
382#14556549C2311yescharacteristic
383#14556548—21no—
384C2×C4⋊Dic73C2311yescharacteristic
385C2×C4⋊Dic73C2311yescharacteristic
386C2×#11924007—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C2×#11924005—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449AGL(1,ℤ/8)×C73—42no—
450#135×C73—42no—
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C2×D8×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462#127×C73—21no—
463#127×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474C4×Q8×C73C2311yescharacteristic
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C22⋊C4×C73—21no—
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496#11924029—22no—
497#11924029—41no—
498#11924029—41no—
499#11924029—41no—
500#11924028—22no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—44no—
507#11924027—22no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—82no—
513#11924027—82no—
514C2×Dic146—21no—
515C2×Dic146C2×D411yescharacteristic
516C2×Dic146C2×D411yescharacteristic
517C2×Dic146C2411yescharacteristic
518C2×D292—22no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—41no—
525C2×D292—44no—
526C2×D292C2×D411yescharacteristic
527C2×D292C2×D411yescharacteristic
528C2×D292C2×D411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
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⋊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—44no—
551C2×C22⋊D73—44no—
552C2×C22⋊D73—82no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559D4×D73—22no—
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—22no—
563D4×D73—41no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—44no—
570D4×D73—44no—
571D4×D73—44no—
572D4×D73—82no—
573D4×D73—82no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73—21no—
578C22×Dic73—21no—
579C22×Dic73—21no—
580C22×Dic73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—82no—
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593C2×C4×D73C2411yescharacteristic
594#11924018—41no—
595#11924017—41no—
596#11924016—41no—
597#11924016—41no—
598#11924015—22no—
599#11924015—41no—
600#11924015—41no—
601D584—22no—
602D584—41no—
603#11924013—22no—
604#11924013—22no—
605#11924013—22no—
606#11924013—41no—
607#11924013—41no—
608#11924013—41no—
609#11924012—41no—
610#11924011—41no—
611#11924011—41no—
612C2×#10596831—41no—
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C8×D73—41no—
618C8×D73—41no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73C2×D411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627C4⋊Dic73C2411yescharacteristic
628C4⋊Dic73C2411yescharacteristic
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73C2×D411yescharacteristic
677C4×Dic73C2×D411yescharacteristic
678C4×Dic73C2411yescharacteristic
679C24×C73—21no—
680#41×C73—22no—
681#41×C73—41no—
682#41×C73—41no—
683#41×C73—41no—
684#41×C73—41no—
685#41×C73—41no—
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×D4×C73—22no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—41no—
699C2×D4×C73C2×D411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710Q16×C73—41no—
711SD16×C73—22no—
712SD16×C73—41no—
713SD16×C73—41no—
714SD16×C73—41no—
715D8×C73—22no—
716D8×C73—22no—
717D8×C73—41no—
718D8×C73—41no—
719M16×C73—41no—
720C2×C8×C73—41no—
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
738C22⋊C4×C73C2×D411yescharacteristic
739C42×C73—21no—
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—42no—
746C23×C73—81no—
747C23×C73—81no—
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—21no—
751C22×D73—24no—
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—21no—
777Q8×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—41no—
786D4×C73—42no—
787D4×C73—42no—
788D4×C73—42no—
789D4×C73—81no—
790D4×C73—81no—
791D4×C73—81no—
792D4×C73—81no—
793D4×C73—81no—
794D4×C73—81no—
795D4×C73H(5,𝔽2)12yes—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—42no—
805C2×C4×C73—81no—
806C2×C4×C73—81no—
807C2×C4×C73—81no—
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C22×D411yescharacteristic
811C2×C4×C73C22×D411yescharacteristic
812C2×C4×C73C2511yescharacteristic
813C22⋊D73—24no—
814C22⋊D73—41no—
815C22⋊D73—41no—
816C22⋊D73—41no—
817C22⋊D73—41no—
818C22⋊D73—41no—
819C22⋊D73—41no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C2×Dic73—21no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—42no—
843C2×Dic73—42no—
844C2×Dic73—42no—
845C2×Dic73—81no—
846C2×Dic73—81no—
847C2×Dic73—81no—
848C2×Dic73—81no—
849C2×Dic73C22×D411yescharacteristic
850C2×Dic73C22×D411yescharacteristic
851C2×Dic73C22×D411yescharacteristic
852C2×Dic73C22×D411yescharacteristic
853C2×Dic73C22×D411yescharacteristic
854D292—21no—
855D292—21no—
856D292—21no—
857D292—21no—
858D292—21no—
859D292—41no—
860D292—41no—
861D292—41no—
862D292—42no—
863D292—42no—
864D292—42no—
865D292—81no—
866D292—81no—
867D292H(5,𝔽2)12yes—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—21no—
874C4×D73—41no—
875C4×D73—41no—
876C4×D73—42no—
877C4×D73—42no—
878C4×D73—42no—
879C4×D73—42no—
880C4×D73—42no—
881C4×D73—81no—
882C4×D73—81no—
883Dic146—21no—
884Dic146—21no—
885Dic146—41no—
886Dic146—41no—
887Dic146—42no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—22no—
901C22×C73—21no—
902C22×C73—21no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—162no—
915C22×C73C23×D411yescharacteristic
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—22no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—84no—
935C2×D73—162no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73—162no—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73C2×H(5,𝔽2)11yescharacteristic
949C4×C73C2×H(5,𝔽2)11yescharacteristic
950Dic73—21no—
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61669—731nomaximal, Sylow
961C2×C73—42no—
962C2×C73—41no—
963C2×C73—41no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73—81no—
967C2×C73#348411yescharacteristic
968C2×C73#358511yescharacteristic
969C2×C73#358511yescharacteristic
970D73—41no—
971D73—41no—
972D73—41no—
973D73—42no—
974D73—81no—
975D73—81no—
976#3546—731no—
977#3496—731no—
978#3318—731no—
979#3318—731no—
980#3311—731no—
981#3311—731no—
982#3307—731no—
983#3307—731no—
984#3306—731no—
985#3306—731no—
986#3268—731no—
987#3268D7311yescharacteristic, complemented
988#3267—731no—
989#3267—731no—
990#3264—731no—
991#3264—731no—
992#3264—731no—
993#3264—731no—
994#3219—731no—
995#3214—731no—
996#3204—731no—
997#3204—731no—
998#3198—731no—
999#3198—731no—
1000#3114—731no—
1001#3109—731no—
1002#3012—731no—
1003#3012—731no—
1004#3008—731no—
1005#3008—731no—
1006#2980—731no—
1007C73#6166911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C2×H(5,𝔽2)—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×AGL(1,ℤ/8)—731no—
1013C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1014C2×#135—731no—
1015C2×#135C2×D7311yescharacteristic, complemented
1016C22×D8—731no—
1017C22×D8—731no—
1018#560—1461no—
1019#560—1461no—
1020#556—731no—
1021#553—731no—
1022#553—731no—
1023#550—1461no—
1024#550C2×D7311yescharacteristic, complemented
1025#547—731no—
1026#547—731no—
1027#547—731no—
1028#547—1461no—
1029#546—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037#546C2×D7311yescharacteristic, complemented
1038D42—731no—
1039D42—731no—
1040D42—731no—
1041D42—1461no—
1042#542—1461no—
1043#538—1461no—
1044#538—1461no—
1045#537—731no—
1046#537—731no—
1047#537—731no—
1048#537—731no—
1049#535—731no—
1050#535—731no—
1051#535—1461no—
1052#534—1461no—
1053#534—1461no—
1054#532—731no—
1055#532—731no—
1056#532—731no—
1057#529—731no—
1058C2×#121—1461no—
1059C2×#121—1461no—
1060C2×C4×D4—731no—
1061#497—731no—
1062#496—731no—
1063#496—731no—
1064#496C2×D7311yescharacteristic, complemented
1065#491—731no—
1066#490—731no—
1067#489—731no—
1068#489—731no—
1069#485—731no—
1070#485—731no—
1071#483—731no—
1072#483—731no—
1073#483—731no—
1074#482—731no—
1075#482—731no—
1076#481—731no—
1077#481—731no—
1078#481—731no—
1079#481—731no—
1080#480—731no—
1081#478—731no—
1082#478—731no—
1083#476—731no—
1084#476—731no—
1085#470—731no—
1086#470—731no—
1087#469—731no—
1088#469—731no—
1089#469—731no—
1090#469—731no—
1091#468—731no—
1092#468C2×D7311yescharacteristic, complemented
1093#466—731no—
1094#466C2×D7311yescharacteristic, complemented
1095#465—731no—
1096#465—731no—
1097#465—731no—
1098#465—731no—
1099#465—731no—
1100#465—731no—
1101#464—731no—
1102#464C2×D7311yescharacteristic, complemented
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463—731no—
1107#461—731no—
1108#461—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459C2×D7311yescharacteristic, complemented
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452—731no—
1118#452C2×D7311yescharacteristic, complemented
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449C2×D7311yescharacteristic, complemented
1137#449C2×D7311yescharacteristic, complemented
1138#447—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#447C2×D7311yescharacteristic, complemented
1149#442—731no—
1150#442—731no—
1151#442—731no—
1152#442—731no—
1153#442—731no—
1154#442—731no—
1155#440—731no—
1156#440C2×D7311yescharacteristic, complemented
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161#435—731no—
1162#435—731no—
1163#435—731no—
1164#435C2×D7311yescharacteristic, complemented
1165#432—731no—
1166#432—731no—
1167#418—731no—
1168#418—731no—
1169#417—731no—
1170#417—731no—
1171#416—731no—
1172#416—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177#408—731no—
1178#408—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181H(5,𝔽2)—2922no—
1182H(5,𝔽2)—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—1461no—
1191C2×#41—1461no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41C22×D7311yescharacteristic
1195C2×#41C22×D7311yescharacteristic
1196C2×#41C22×D7311yescharacteristic
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4—1461no—
1211C22×D4—1461no—
1212C22×D4C22×D7311yescharacteristic
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—2922no—
1216AGL(1,ℤ/8)—2922no—
1217AGL(1,ℤ/8)—2922no—
1218#135—42no—
1219#135—2922no—
1220C2×Q16—731no—
1221C2×Q16C22×D7311yescharacteristic
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16C22×D7311yescharacteristic
1229C2×SD16C22×D7311yescharacteristic
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—2922no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8—731no—
1241C2×D8—731no—
1242C2×D8C22×D7311yescharacteristic
1243C2×D8C22×D7311yescharacteristic
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C2×M16—731no—
1249C2×M16C22×D7311yescharacteristic
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255C4⋊Q8—731no—
1256C4⋊Q8—731no—
1257#127—21no—
1258#127—731no—
1259#127—731no—
1260#127—1461no—
1261#127—1461no—
1262#127C22×D7311yescharacteristic
1263#126—1461no—
1264#126—1461no—
1265#126—1461no—
1266#126—1461no—
1267#126—1461no—
1268#125—731no—
1269#124—731no—
1270#124—731no—
1271#124—731no—
1272#124—731no—
1273#124—1461no—
1274#124—1461no—
1275#124—1461no—
1276#124—1461no—
1277#124C22×D7311yescharacteristic
1278#123—21no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8C22×D7311yescharacteristic
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
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#121C22×D7311yescharacteristic
1350#121C22×D7311yescharacteristic
1351#121C22×D7311yescharacteristic
1352#120—21no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—1461no—
1369C4×Q8C22×D7311yescharacteristic
1370C4×D4—21no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—731no—
1379C4×D4—731no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4—1461no—
1388C4×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—731no—
1392#117—1461no—
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—731no—
1396C2×C4⋊C4—1461no—
1397C2×C4⋊C4—1461no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C42—731no—
1406#107—731no—
1407#107C22×D7311yescharacteristic
1408#106—731no—
1409#106—731no—
1410#106—731no—
1411#106—731no—
1412#106—731no—
1413#106—731no—
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103—731no—
1426#103C22×D7311yescharacteristic
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
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#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97—731no—
1464#97—731no—
1465#97C22×D7311yescharacteristic
1466C24—21no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—2924no—
1485#41—2924no—
1486#41—2921no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2921no—
1491#41—2921no—
1492#41—5842no—
1493#41—5842no—
1494#41—1462no—
1495#41—1462no—
1496#41—1462no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—731no—
1500C2×Q8—1461no—
1501C2×Q8C23×D7311yescharacteristic
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—41no—
1514C2×D4—2921no—
1515C2×D4—2924no—
1516C2×D4—2924no—
1517C2×D4—2924no—
1518C2×D4—2924no—
1519C2×D4—2924no—
1520C2×D4—2924no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—2921no—
1527C2×D4—5842no—
1528C2×D4—5842no—
1529C2×D4—5842no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—731no—
1540C2×D4—731no—
1541C2×D4—731no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1462no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1462no—
1555C2×D4—1462no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1462no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1462no—
1569C2×D4—1461no—
1570C2×D4D4×D7311yescharacteristic
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C2×D4C23×D7311yescharacteristic
1574C2×D4C23×D7311yescharacteristic
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—5842no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—41no—
1602Q16—2921no—
1603SD16—22no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—2921no—
1612SD16—1462no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—2921no—
1621D8—1462no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—41no—
1626M16—2921no—
1627M16—2921no—
1628M16—2921no—
1629C2×C8—41no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—731no—
1644C4⋊C4—731no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4—1461no—
1663C4⋊C4—1461no—
1664C4⋊C4D4×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—731no—
1675C22⋊C4—731no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—21no—
1711C42—731no—
1712C42—731no—
1713C42—731no—
1714C42—1461no—
1715C42—1461no—
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—2922no—
1725C23—2922no—
1726C23—2922no—
1727C23—5841no—
1728C23—5841no—
1729C23—5841no—
1730C23—5841no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—5841no—
1741C23—731no—
1742C23—731no—
1743C23—731no—
1744C23—1464no—
1745C23—1461no—
1746C23—1461no—
1747C23—1461no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—2922no—
1755Q8—2921no—
1756Q8—2921no—
1757Q8—1461no—
1758Q8—1461no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—41no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—2922no—
1777D4—2921no—
1778D4—2921no—
1779D4—2921no—
1780D4—2922no—
1781D4—2922no—
1782D4—2922no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2921no—
1787D4—2921no—
1788D4—2921no—
1789D4—2921no—
1790D4—2921no—
1791D4—2921no—
1792D4—2922no—
1793D4—2922no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—5841no—
1807D4—732no—
1808D4—1464no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663612yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—42no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—2922no—
1828C2×C4—2922no—
1829C2×C4—2921no—
1830C2×C4—2921no—
1831C2×C4—2922no—
1832C2×C4—2922no—
1833C2×C4—2922no—
1834C2×C4—2922no—
1835C2×C4—2922no—
1836C2×C4—2922no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—5841no—
1843C2×C4—731no—
1844C2×C4—731no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—731no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4C2×D4×D7311yescharacteristic
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—22no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—2921no—
1895C22—2921no—
1896C22—2921no—
1897C22—2921no—
1898C22—2921no—
1899C22—5844no—
1900C22—11682no—
1901C22—11682no—
1902C22—11682no—
1903C22—11682no—
1904C22—11682no—
1905C22—1462no—
1906C22—1461no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—2921no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—1461no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4C2×#1455663611yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—2922no—
1943C2—2921no—
1944C2—2921no—
1945C2—2921no—
1946C2—5841no—
1947C2—5841no—
1948C2#2262355911yescharacteristic
1949C2#2262470611yescharacteristic
1950C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3268C2
socleC22×C73C23×D4
hypercenter#3268D73
hypocenterC73#61669
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #22624291C2semidirect
2. #22623691C2semidirect
3. #22622078C2semidirect
4. #22622076C2semidirect
5. #22621974C2semidirect
6. #22621972C2semidirect
7. #22621902C2semidirect
8. #22621900C2semidirect
9. #22621894C2semidirect
10. #22621892C2semidirect
11. #22621472C2semidirect
12. #22621460C2semidirect
13. #22621456C2semidirect
14. #22621414C2semidirect
15. #22621410C2semidirect
16. #22621406C2semidirect
17. #22621405C2semidirect
18. #22620973C2semidirect
19. #22620921C2semidirect
20. #22620840C2semidirect
21. #22620839C2semidirect
22. #22620784C2semidirect
23. #22620776C2semidirect
24. #22620073C2semidirect
25. #22620021C2semidirect
26. #22619234C2semidirect
27. #22619231C2semidirect
28. #22619196C2semidirect
29. #22619194C2semidirect
30. #22618999C2semidirect
31. C73×#3268C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556636C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556616C22semidirect
36. C2×#14556615C22semidirect
37. C2×#14556611C22semidirect
38. C2×D8×D73C22semidirect
39. C2×D8×D73C22semidirect
42. #17989310C22semidirect
43. #17989289C22semidirect
44. #17989289C22semidirect
46. #17989241C22semidirect
47. #17989239C22semidirect
48. #17989236C22semidirect
50. #17989233C22semidirect
56. #17989225C22semidirect
57. #17989225C22semidirect
58. #17989222C22semidirect
59. #17989221C22semidirect
60. D4×C22⋊D73C22semidirect
65. #17989167C22semidirect
66. #17989166C22semidirect
67. #17989165C22semidirect
68. #17989165C22semidirect
69. #17989153C22semidirect
70. #17989153C22semidirect
74. #17989136C22semidirect
75. #17989135C22semidirect
77. #17989124C22semidirect
80. C4×D4×D73C22semidirect
81. #17988980C22semidirect
82. #17988974C22semidirect
83. #17988973C22semidirect
84. #17988954C22semidirect
85. #17988950C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988930C22semidirect
89. #17988926C22semidirect
90. #17988918C22semidirect
91. #17988916C22semidirect
92. #17988915C22semidirect
93. #17988914C22semidirect
94. #17988910C22semidirect
95. #17988906C22semidirect
96. #17988904C22semidirect
97. #17988904C22semidirect
98. #17988903C22semidirect
99. #17988902C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988878C22semidirect
103. #17988877C22semidirect
104. #17988844C22semidirect
105. #17988842C22semidirect
106. #17988840C22semidirect
107. #17988839C22semidirect
108. #17988838C22semidirect
109. #17988837C22semidirect
110. #17988831C22semidirect
111. #17988821C22semidirect
112. #17988819C22semidirect
113. #17988818C22semidirect
114. #17988816C22semidirect
115. #17988815C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988809C22semidirect
119. #17988805C22semidirect
120. #17988804C22semidirect
121. #17988803C22semidirect
122. #17988799C22semidirect
123. #17988790C22semidirect
124. #17988790C22semidirect
125. #17988780C22semidirect
126. #17988780C22semidirect
127. #17988779C22semidirect
128. #17988749C22semidirect
129. #17988748C22semidirect
130. #17988748C22semidirect
131. #17988746C22semidirect
132. #17988746C22semidirect
133. #17988739C22semidirect
134. #17988736C22semidirect
135. #17988736C22semidirect
136. #17988736C22semidirect
137. #17988736C22semidirect
138. #17988735C22semidirect
139. #17988734C22semidirect
140. #17988733C22semidirect
141. #17988732C22semidirect
142. #17988732C22semidirect
143. #17988731C22semidirect
144. #17988731C22semidirect
145. #17988731C22semidirect
146. #17988730C22semidirect
147. #17988729C22semidirect
148. #17988729C22semidirect
149. #17988729C22semidirect
150. #17988723C22semidirect
152. #17988722C22semidirect
153. #17988721C22semidirect
154. #17988720C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988699C22semidirect
163. #17988697C22semidirect
164. #17988696C22semidirect
165. #17988696C22semidirect
166. #17988685C22semidirect
167. #17988661C22semidirect
168. #17988660C22semidirect
169. #17988659C22semidirect
170. #17988658C22semidirect
171. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988655C22semidirect
174. #17988643C22semidirect
175. #17988642C22semidirect
176. #17988590C22semidirect
177. #17988590C22semidirect
178. #17988589C22semidirect
179. #17988588C22semidirect
180. #17988582C22semidirect
181. #17988580C22semidirect
182. C2×#14556513C22semidirect
183. C2×#14556512C22semidirect
184. #17988555C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C2×#135×C73C22semidirect
190. #550×C73C22semidirect
191. #546×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #464×C73C22semidirect
196. #459×C73C22semidirect
197. #452×C73C22semidirect
198. #449×C73C22semidirect
199. #449×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
987. #3268D73semidirect
1007. C73#61669semidirect
1013. C2×AGL(1,ℤ/8)C2×D73semidirect
1015. C2×#135C2×D73semidirect
1024. #550C2×D73semidirect
1037. #546C2×D73semidirect
1064. #496C2×D73semidirect
1092. #468C2×D73semidirect
1094. #466C2×D73semidirect
1102. #464C2×D73semidirect
1112. #459C2×D73semidirect
1118. #452C2×D73semidirect
1136. #449C2×D73semidirect
1137. #449C2×D73semidirect
1148. #447C2×D73semidirect
1156. #440C2×D73semidirect
1164. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242912
#226236912
#226220782
#226220762
#226219742
#226219722
#226219022
#226219002
#226218942
#226218922
#226214722
#226214602
#226214562
#226214142
#226214102
#226214062
#226214052
#226209732
#226209212
#226208402
#226208392
#226207842
#226207762
#226200732
#226200212
#226192342
#226192312
#226191962
#226191942
#226189992
C73×#32682
#6166973