Finite Group Databasebeta

← #33972628

Subgroups — #33972628

Order 18688.

2174 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#22624302C211yesmaximal, characteristic, complemented
2#22623691C211yesmaximal, characteristic, complemented
3#22622234C211yesmaximal, characteristic, complemented
4#22622160C211yesmaximal, characteristic, complemented
5#22622131C211yesmaximal, characteristic, complemented
6#22622126C211yesmaximal, characteristic, complemented
7#22621844C211yesmaximal, characteristic, complemented
8#22621778C211yesmaximal, characteristic, complemented
9#22621740C211yesmaximal, characteristic, complemented
10#22621658C211yesmaximal, characteristic, complemented
11#22621618C211yesmaximal, characteristic, complemented
12#22621611C211yesmaximal, characteristic, complemented
13#22621605C211yesmaximal, characteristic, complemented
14#22621549C211yesmaximal, characteristic, complemented
15#22621541C211yesmaximal, characteristic, complemented
16#22621538C211yesmaximal, characteristic, complemented
17#22621524C211yesmaximal, characteristic, complemented
18#22620908C211yesmaximal, characteristic, complemented
19#22620863C211yesmaximal, characteristic, complemented
20#22620835C211yesmaximal, characteristic, complemented
21#22620827C211yesmaximal, characteristic, complemented
22#22620786C211yesmaximal, characteristic, complemented
23#22620781C211yesmaximal, characteristic, complemented
24#22619983C211yesmaximal, characteristic, complemented
25#22619929C211yesmaximal, characteristic, complemented
26#22619240C211yesmaximal, characteristic, complemented
27#22619233C211yesmaximal, characteristic, complemented
28#22619202C211yesmaximal, characteristic, complemented
29#22619194C211yesmaximal, characteristic, complemented
30#22618994C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#14556636C2211yescharacteristic, complemented
34C2×#14556617C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C22×D584C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989328—21no—
43#17989325—21no—
44#17989305C2211yescharacteristic, complemented
45#17989290C2211yescharacteristic, complemented
46#17989258—21no—
47#17989255C2211yescharacteristic, complemented
48#17989239C2211yescharacteristic, complemented
49#17989238C2211yescharacteristic, complemented
50#17989236C2211yescharacteristic
51#17989235—21no—
52#17989233C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic, complemented
55#17989232C2211yescharacteristic, complemented
56#17989230C2211yescharacteristic, complemented
57#17989229—21no—
58#17989227—21no—
59#17989226—21no—
60#17989221C2211yescharacteristic
61#17989221C2211yescharacteristic, complemented
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989219—21no—
64#17989203—21no—
65#17989173—21no—
66#17989170—21no—
67#17989168C2211yescharacteristic, complemented
68#17989167C2211yescharacteristic, complemented
69#17989166C2211yescharacteristic, complemented
70#17989166C2211yescharacteristic, complemented
71#17989156C2211yescharacteristic, complemented
72#17989153—21no—
73#17989153C2211yescharacteristic, complemented
74#17989148—21no—
75#17989147—21no—
76#17989136C2211yescharacteristic, complemented
77#17989134C2211yescharacteristic
78#17989134C2211yescharacteristic, complemented
79#17989122C2211yescharacteristic, complemented
80C2×#14556564—21no—
81#121×D73—21no—
82C4×D4×D73C2211yescharacteristic, complemented
83#17988971C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988944C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988865C2211yescharacteristic, complemented
103#17988839C2211yescharacteristic, complemented
104#17988838C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988828C2211yescharacteristic, complemented
112#17988827C2211yescharacteristic, complemented
113#17988824C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988740C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988736C2211yescharacteristic, complemented
139#17988735C2211yescharacteristic, complemented
140#17988735C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988733C2211yescharacteristic, complemented
147#17988733C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic, complemented
159#17988720C2211yescharacteristic, complemented
160#17988720C2211yescharacteristic, complemented
161#17988719C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163#17988674C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988666C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988639C2211yescharacteristic, complemented
177#17988638C2211yescharacteristic, complemented
178#17988591C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988586C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C22×C22⋊D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C22×C4×D73—21no—
236#14556617—42no—
237#14556616—42no—
238#14556615—42no—
239#14556615—42no—
240#14556613—42no—
241#14556612—42no—
242C2×Dic292C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×D584—42no—
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264D8×D73—42no—
265C2×#11924012C2311yescharacteristic
266C2×#11924012C2311yescharacteristic
267C2×#11924011C2311yescharacteristic
268C2×#11924011C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271#14556590D411yescharacteristic
272#14556590C2311yescharacteristic
273#14556589C2311yescharacteristic
274#14556588—21no—
275#14556587—21no—
276#14556587—21no—
277#14556587D411yescharacteristic
278#14556587C2311yescharacteristic
279#14556587C2311yescharacteristic
280#14556586—21no—
281#14556586—21no—
282#14556585—21no—
283#14556584—21no—
284#14556579—21no—
285#14556579C2311yescharacteristic
286#14556579C2311yescharacteristic
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556577D411yescharacteristic
291#14556577D411yescharacteristic
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576—21no—
298#14556575—21no—
299#14556575—21no—
300#14556574—21no—
301#14556574—21no—
302#14556573—21no—
303#14556573—21no—
304#14556572—21no—
305#14556571—21no—
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556569—21no—
312#14556569—21no—
313#14556568—21no—
314#14556568—21no—
315#14556567C2311yescharacteristic
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566D411yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556565—21no—
327#14556565—21no—
328#14556565—21no—
329#14556565—21no—
330#14556565C2311yescharacteristic
331#14556565C2311yescharacteristic
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564—21no—
346#14556564D411yescharacteristic
347#14556564D411yescharacteristic
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563—21no—
352#14556563—21no—
353#14556562—21no—
354#14556562—21no—
355#14556562D411yescharacteristic
356#14556562C2311yescharacteristic
357#14556562C2311yescharacteristic
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556561—21no—
365#14556561—21no—
366#14556560—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372#14556559—21no—
373C4×Dic146—21no—
374#14556556C2311yescharacteristic
375C4×D292C2311yescharacteristic
376C4×D292C2311yescharacteristic
377C4×D292C2311yescharacteristic
378D4×Dic73C2311yescharacteristic
379#14556553—21no—
380#14556553—21no—
381#14556553C2311yescharacteristic
382#14556553C2311yescharacteristic
383C4×C22⋊D73—21no—
384C4×C22⋊D73—21no—
385C4×C22⋊D73C2311yescharacteristic
386C4×C22⋊D73C2311yescharacteristic
387#14556551—21no—
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556549—21no—
392#14556549C2311yescharacteristic
393C2×#11924007—21no—
394C4⋊C4×D73—21no—
395C4⋊C4×D73C2311yescharacteristic
396C4⋊C4×D73C2311yescharacteristic
397C2×#11924005—21no—
398C2×#11924005—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C42×D73C2311yescharacteristic
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556524C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#126×C73—21no—
455#125×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#123×C73—21no—
458#123×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460#121×C73—21no—
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470#117×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×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—41no—
507#11924028—41no—
508#11924028—44no—
509#11924028—82no—
510#11924028—82no—
511#11924027—22no—
512#11924027—41no—
513#11924027—41no—
514#11924027—41no—
515#11924027—41no—
516#11924027—41no—
517#11924027—44no—
518C2×Dic146—21no—
519C2×Dic146C2×D411yescharacteristic
520C2×Dic146C2×D411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×Dic146C2411yescharacteristic
523C2×D292—22no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—41no—
537C2×D292—44no—
538C2×D292C2×D411yescharacteristic
539C2×D292C2×D411yescharacteristic
540C2×D292C2×D411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×D292C2411yescharacteristic
544C2×D292C2411yescharacteristic
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—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—21no—
560C2×C22⋊D73—21no—
561C2×C22⋊D73—21no—
562C2×C22⋊D73—44no—
563C2×C22⋊D73—44no—
564C2×C22⋊D73—82no—
565C2×C22⋊D73C2×D411yescharacteristic
566C2×C22⋊D73C2×D411yescharacteristic
567C2×C22⋊D73C2×D411yescharacteristic
568C2×C22⋊D73C2×D411yescharacteristic
569C2×C22⋊D73C2×D411yescharacteristic
570C2×C22⋊D73C2×D411yescharacteristic
571D4×D73—22no—
572D4×D73—22no—
573D4×D73—22no—
574D4×D73—22no—
575D4×D73—41no—
576D4×D73—41no—
577D4×D73—41no—
578D4×D73—41no—
579D4×D73—44no—
580D4×D73—44no—
581D4×D73—44no—
582D4×D73—82no—
583D4×D73—82no—
584C22×Dic73—21no—
585C22×Dic73—21no—
586C22×Dic73—21no—
587C22×Dic73—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—21no—
597C2×C4×D73—21no—
598C2×C4×D73—82no—
599C2×C4×D73C2×D411yescharacteristic
600C2×C4×D73C2×D411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603C2×C4×D73C2411yescharacteristic
604Dic292—41no—
605#11924018—41no—
606#11924017—22no—
607#11924017—41no—
608#11924017—41no—
609#11924017—41no—
610#11924016—22no—
611#11924016—41no—
612#11924016—41no—
613#11924015—41no—
614#11924015—41no—
615D584—22no—
616D584—22no—
617D584—41no—
618D584—41no—
619#11924013—22no—
620#11924013—22no—
621#11924013—22no—
622#11924013—41no—
623#11924013—41no—
624#11924013—41no—
625#11924012—41no—
626#11924012—41no—
627#11924011—41no—
628#11924011—41no—
629C2×#10596831C2411yescharacteristic
630C2×#10596831C2411yescharacteristic
631C2×#10596831C2411yescharacteristic
632C2×#10596831C2411yescharacteristic
633C8×D73—41no—
634C8×D73—41no—
635C4⋊Dic73—21no—
636C4⋊Dic73—21no—
637C4⋊Dic73—21no—
638C4⋊Dic73C2×D411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007C2×D411yescharacteristic
651#11924007C2×D411yescharacteristic
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73C2×D411yescharacteristic
658C22⋊Dic73C2×D411yescharacteristic
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#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#11924005—21no—
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684C4×Dic73—21no—
685C4×Dic73—21no—
686C4×Dic73C2×D411yescharacteristic
687C4×Dic73C2×D411yescharacteristic
688C4×Dic73C2411yescharacteristic
689C24×C73—21no—
690#41×C73—22no—
691#41×C73—41no—
692C2×Q8×C73C2411yescharacteristic
693C2×D4×C73—22no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—41no—
700C2×D4×C73C2×D411yescharacteristic
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
710SD16×C73—41no—
711D8×C73—22no—
712D8×C73—41no—
713C2×C8×C73—41no—
714C2×C8×C73—41no—
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73C2×D411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
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—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C22×D73—21no—
750C22×D73—24no—
751C22×D73—21no—
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—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—41no—
782D4×C73—42no—
783D4×C73—42no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
787D4×C73H(5,𝔽2)12yes—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—42no—
798C2×C4×C73—81no—
799C2×C4×C73—81no—
800C2×C4×C73—81no—
801C2×C4×C73C22×D411yescharacteristic
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C2511yescharacteristic
806C22⋊D73—24no—
807C22⋊D73—22no—
808C22⋊D73—22no—
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—41no—
812C22⋊D73—41no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—42no—
834C2×Dic73—42no—
835C2×Dic73—42no—
836C2×Dic73—81no—
837C2×Dic73C22×D411yescharacteristic
838C2×Dic73C22×D411yescharacteristic
839C2×Dic73C22×D411yescharacteristic
840C2×Dic73C22×D411yescharacteristic
841C2×Dic73C22×D411yescharacteristic
842D292—21no—
843D292—21no—
844D292—21no—
845D292—21no—
846D292—21no—
847D292—21no—
848D292—21no—
849D292—41no—
850D292—41no—
851D292—41no—
852D292—42no—
853D292—42no—
854D292—42no—
855D292—81no—
856D292—81no—
857D292—81no—
858D292—81no—
859D292—81no—
860D292—81no—
861D292—81no—
862D292H(5,𝔽2)12yes—
863C4×D73—21no—
864C4×D73—21no—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—22no—
870C4×D73—41no—
871C4×D73—42no—
872C4×D73—42no—
873C4×D73—42no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—81no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880C4×D73—81no—
881Dic146—21no—
882Dic146—21no—
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—22no—
899C22×C73—21no—
900C22×C73—21no—
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—162no—
912C22×C73C23×D411yescharacteristic
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—22no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
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×C73—41no—
949C4×C73C2×H(5,𝔽2)11yescharacteristic
950C4×C73C2×H(5,𝔽2)11yescharacteristic
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73#57612yes—
960#61657—731nomaximal, Sylow
961C2×C73—42no—
962C2×C73—41no—
963C2×C73—41no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73#348411yescharacteristic
967C2×C73C2×#57611yescharacteristic
968C2×C73#358411yescharacteristic
969D73—41no—
970D73—41no—
971D73—41no—
972D73—42no—
973D73—81no—
974D73—81no—
975D73—81no—
976#3546—731no—
977#3496—731no—
978#3330—731no—
979#3324—731no—
980#3322—731no—
981#3322—731no—
982#3302—731no—
983#3297—731no—
984#3297D7311yescharacteristic, complemented
985#3294—731no—
986#3284—731no—
987#3280—731no—
988#3280—731no—
989D4×D8—731no—
990#3274—731no—
991#3273—731no—
992#3273—731no—
993#3272—731no—
994#3212—731no—
995#3207—731no—
996#3203—731no—
997#3203—731no—
998#3198—731no—
999#3198—731no—
1000#3105—731no—
1001#3100—731no—
1002#3012—731no—
1003#3012—731no—
1004#3008—731no—
1005#3008—731no—
1006#2979—731no—
1007C73#6165711yescharacteristic, 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)—731no—
1014C2×#135—731no—
1015C2×#135—731no—
1016C22×D8—731no—
1017C22×D8—731no—
1018#560—1461no—
1019#560—1461no—
1020#556—731no—
1021#553—731no—
1022#553C2×D7311yescharacteristic, complemented
1023#550—731no—
1024#550—1461no—
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#495—731no—
1062#495—731no—
1063#493—731no—
1064#492—731no—
1065#488—731no—
1066#488C2×D7311yescharacteristic, complemented
1067#487—731no—
1068#486—731no—
1069#485—731no—
1070#485—731no—
1071#484—731no—
1072#484—731no—
1073#484C2×D7311yescharacteristic, complemented
1074#482—731no—
1075#482C2×D7311yescharacteristic, complemented
1076#481—731no—
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480—731no—
1081#478—731no—
1082#478C2×D7311yescharacteristic, complemented
1083#474—731no—
1084#474—731no—
1085#469—731no—
1086#469—731no—
1087#468—731no—
1088#468—731no—
1089#468—731no—
1090#468—731no—
1091#468—731no—
1092#468—731no—
1093#467—731no—
1094#467—731no—
1095#466—731no—
1096#466—731no—
1097#466—731no—
1098#466C2×D7311yescharacteristic, complemented
1099#465—731no—
1100#465C2×D7311yescharacteristic, complemented
1101#463—731no—
1102#463—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463C2×D7311yescharacteristic, complemented
1107#462—731no—
1108#461—731no—
1109#460—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
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#449—731no—
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
1149C4×SD16—731no—
1150C4×SD16—731no—
1151C4×D8—731no—
1152C4×D8—731no—
1153C4×D8—731no—
1154C4×D8—731no—
1155C4×D8—731no—
1156C4×D8C2×D7311yescharacteristic, complemented
1157#436—731no—
1158#436—731no—
1159#436—731no—
1160#436—731no—
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4C2×D7311yescharacteristic, complemented
1165#431—731no—
1166#431—731no—
1167#418—731no—
1168#418—731no—
1169#417—731no—
1170#417—731no—
1171#416—731no—
1172#416C2×D7311yescharacteristic, complemented
1173C2×#102—731no—
1174C2×#102C2×D7311yescharacteristic, complemented
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—731no—
1191C2×#41—731no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41—1461no—
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)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216AGL(1,ℤ/8)—2922no—
1217AGL(1,ℤ/8)—2922no—
1218#135—2922no—
1219#135—2922no—
1220C2×Q16—731no—
1221C2×Q16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16—731no—
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×D8—731no—
1243C2×D8—731no—
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C2×M16—731no—
1249C2×M16—731no—
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8C22×D7311yescharacteristic
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255C4⋊Q8—731no—
1256C4⋊Q8—731no—
1257#127—731no—
1258#127—731no—
1259#127—731no—
1260#127—1461no—
1261#127—1461no—
1262#127—1461no—
1263#126—21no—
1264#126—1461no—
1265#126—1461no—
1266#126—1461no—
1267#126—1461no—
1268#125C22×D7311yescharacteristic
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—21no—
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—731no—
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—1461no—
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—731no—
1369C4×Q8—1461no—
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—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4C22×D7311yescharacteristic
1388C4×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—1461no—
1392#117C22×D7311yescharacteristic
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—1461no—
1396C2×C4⋊C4—1461no—
1397C2×C4⋊C4C22×D7311yescharacteristic
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#107—731no—
1408#107—731no—
1409#107—731no—
1410#107C22×D7311yescharacteristic
1411#107C22×D7311yescharacteristic
1412#106—731no—
1413#106C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1444#102C22×D7311yescharacteristic
1445#102C22×D7311yescharacteristic
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
1462C4×C8—731no—
1463C4×C8—731no—
1464C4×C8—731no—
1465C4×C8C22×D7311yescharacteristic
1466C24—21no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—22no—
1474#41—41no—
1475#41—2921no—
1476#41—2921no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2924no—
1483#41—2924no—
1484#41—2921no—
1485#41—2921no—
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—731no—
1501C2×Q8—1461no—
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—2921no—
1511C2×D4—2921no—
1512C2×D4—2921no—
1513C2×D4—2924no—
1514C2×D4—2924no—
1515C2×D4—2924no—
1516C2×D4—2924no—
1517C2×D4—2924no—
1518C2×D4—2924no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—5842no—
1524C2×D4—5842no—
1525C2×D4—5842no—
1526C2×D4—731no—
1527C2×D4—731no—
1528C2×D4—731no—
1529C2×D4—731no—
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—1461no—
1540C2×D4—1461no—
1541C2×D4—1462no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
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—1461no—
1555C2×D4—1461no—
1556C2×D4—1462no—
1557C2×D4—1462no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1462no—
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×D4—1461no—
1571C2×D4D4×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—2921no—
1602Q16—2921no—
1603SD16—41no—
1604SD16—2921no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—22no—
1614D8—41no—
1615D8—2921no—
1616D8—2921no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—1462no—
1621D8—1462no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—2921no—
1626M16—2921no—
1627M16—2921no—
1628M16—2921no—
1629C2×C8—41no—
1630C2×C8—41no—
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—21no—
1644C4⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C4⋊C4C23×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—21no—
1675C22⋊C4—21no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—731no—
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—42no—
1721C23—81no—
1722C23—81no—
1723C23—2922no—
1724C23—2922no—
1725C23—2922no—
1726C23—5841no—
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—731no—
1741C23—731no—
1742C23—731no—
1743C23—1464no—
1744C23—1461no—
1745C23—1461no—
1746C23—1461no—
1747C23—1461no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—2921no—
1753Q8—2921no—
1754Q8—2922no—
1755Q8—1461no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8—1461no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—2922no—
1771D4—2921no—
1772D4—2921no—
1773D4—2921no—
1774D4—2922no—
1775D4—2922no—
1776D4—2922no—
1777D4—2922no—
1778D4—2922no—
1779D4—2922no—
1780D4—2922no—
1781D4—2922no—
1782D4—2921no—
1783D4—2921no—
1784D4—2921no—
1785D4—2921no—
1786D4—2922no—
1787D4—5841no—
1788D4—5841no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—732no—
1804D4—1462no—
1805D4—1462no—
1806D4—1464no—
1807D4—1461no—
1808D4—1461no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663712yes—
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—21no—
1824C2×C4—42no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—2922no—
1829C2×C4—2921no—
1830C2×C4—2922no—
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—1462no—
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—162no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
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—41no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—732no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4C2×#1455663711yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—2922no—
1942C2—2921no—
1943C2—2921no—
1944C2—2921no—
1945C2—5841no—
1946C2—5841no—
1947C2—5841no—
1948C2#2262356111yescharacteristic
1949C2#576×D7311yescharacteristic
1950C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#61657
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22624302C2semidirect
2. #22623691C2semidirect
3. #22622234C2semidirect
4. #22622160C2semidirect
5. #22622131C2semidirect
6. #22622126C2semidirect
7. #22621844C2semidirect
8. #22621778C2semidirect
9. #22621740C2semidirect
10. #22621658C2semidirect
11. #22621618C2semidirect
12. #22621611C2semidirect
13. #22621605C2semidirect
14. #22621549C2semidirect
15. #22621541C2semidirect
16. #22621538C2semidirect
17. #22621524C2semidirect
18. #22620908C2semidirect
19. #22620863C2semidirect
20. #22620835C2semidirect
21. #22620827C2semidirect
22. #22620786C2semidirect
23. #22620781C2semidirect
24. #22619983C2semidirect
25. #22619929C2semidirect
26. #22619240C2semidirect
27. #22619233C2semidirect
28. #22619202C2semidirect
29. #22619194C2semidirect
30. #22618994C2semidirect
31. C73×#3297C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556636C22semidirect
34. C2×#14556617C22semidirect
35. C2×#14556616C22semidirect
36. C2×#14556615C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556612C22semidirect
40. C22×D584C22semidirect
41. C2×D8×D73C22semidirect
44. #17989305C22semidirect
45. #17989290C22semidirect
47. #17989255C22semidirect
48. #17989239C22semidirect
49. #17989238C22semidirect
52. #17989233C22semidirect
53. #17989233C22semidirect
54. #17989232C22semidirect
55. #17989232C22semidirect
56. #17989230C22semidirect
61. #17989221C22semidirect
62. D4×C22⋊D73C22semidirect
67. #17989168C22semidirect
68. #17989167C22semidirect
69. #17989166C22semidirect
70. #17989166C22semidirect
71. #17989156C22semidirect
73. #17989153C22semidirect
76. #17989136C22semidirect
78. #17989134C22semidirect
79. #17989122C22semidirect
82. C4×D4×D73C22semidirect
83. #17988971C22semidirect
84. #17988969C22semidirect
85. #17988962C22semidirect
86. #17988958C22semidirect
87. #17988944C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988928C22semidirect
91. #17988927C22semidirect
92. #17988924C22semidirect
93. #17988924C22semidirect
94. #17988913C22semidirect
95. #17988907C22semidirect
96. #17988902C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988884C22semidirect
101. #17988866C22semidirect
102. #17988865C22semidirect
103. #17988839C22semidirect
104. #17988838C22semidirect
105. #17988836C22semidirect
106. #17988835C22semidirect
107. #17988834C22semidirect
108. #17988834C22semidirect
109. #17988831C22semidirect
110. #17988831C22semidirect
111. #17988828C22semidirect
112. #17988827C22semidirect
113. #17988824C22semidirect
114. #17988823C22semidirect
115. #17988822C22semidirect
116. #17988817C22semidirect
117. #17988803C22semidirect
118. #17988803C22semidirect
119. #17988802C22semidirect
120. #17988802C22semidirect
121. #17988799C22semidirect
122. #17988796C22semidirect
123. #17988791C22semidirect
124. #17988786C22semidirect
125. #17988781C22semidirect
126. #17988781C22semidirect
127. #17988780C22semidirect
128. #17988752C22semidirect
129. #17988750C22semidirect
130. #17988750C22semidirect
131. #17988750C22semidirect
132. #17988749C22semidirect
133. #17988747C22semidirect
134. #17988740C22semidirect
135. #17988740C22semidirect
136. #17988739C22semidirect
137. #17988739C22semidirect
138. #17988736C22semidirect
139. #17988735C22semidirect
140. #17988735C22semidirect
141. #17988735C22semidirect
142. #17988735C22semidirect
143. #17988734C22semidirect
144. #17988734C22semidirect
145. #17988733C22semidirect
146. #17988733C22semidirect
147. #17988733C22semidirect
148. #17988731C22semidirect
149. #17988730C22semidirect
150. #17988729C22semidirect
151. #17988729C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988721C22semidirect
159. #17988720C22semidirect
160. #17988720C22semidirect
161. #17988719C22semidirect
162. #17988678C22semidirect
163. #17988674C22semidirect
164. C4×D584C22semidirect
165. #17988669C22semidirect
166. C4×#11924013C22semidirect
167. C4×#11924013C22semidirect
168. #17988667C22semidirect
169. #17988666C22semidirect
170. #17988665C22semidirect
171. #17988662C22semidirect
172. #17988662C22semidirect
173. #17988652C22semidirect
174. C8×C22⋊D73C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988639C22semidirect
177. #17988638C22semidirect
178. #17988591C22semidirect
179. #17988590C22semidirect
180. #17988587C22semidirect
181. #17988586C22semidirect
182. #17988580C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. #553×C73C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
194. #466×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#102×C73C22semidirect
984. #3297D73semidirect
1007. C73#61657semidirect
1022. #553C2×D73semidirect
1037. #546C2×D73semidirect
1066. #488C2×D73semidirect
1073. #484C2×D73semidirect
1075. #482C2×D73semidirect
1082. #478C2×D73semidirect
1098. #466C2×D73semidirect
1100. #465C2×D73semidirect
1106. #463C2×D73semidirect
1137. #449C2×D73semidirect
1148. #447C2×D73semidirect
1156. C4×D8C2×D73semidirect
1164. C8×D4C2×D73semidirect
1172. #416C2×D73semidirect
1174. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243022
#226236912
#226222342
#226221602
#226221312
#226221262
#226218442
#226217782
#226217402
#226216582
#226216182
#226216112
#226216052
#226215492
#226215412
#226215382
#226215242
#226209082
#226208632
#226208352
#226208272
#226207862
#226207812
#226199832
#226199292
#226192402
#226192332
#226192022
#226191942
#226189942
C73×#32972
#6165773