Finite Group Databasebeta

← #33964279

Subgroups — #33964279

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623777C211yesmaximal, characteristic, complemented
2#22623689C211yesmaximal, characteristic, complemented
3#22622091C211yesmaximal, characteristic, complemented
4#22622090C211yesmaximal, characteristic, complemented
5#22622083C211yesmaximal, characteristic, complemented
6#22622082C211yesmaximal, characteristic, complemented
7#22622077C211yesmaximal, characteristic, complemented
8#22622074C211yesmaximal, characteristic, complemented
9#22622069C211yesmaximal, characteristic, complemented
10#22622066C211yesmaximal, characteristic, complemented
11#22621914C211yesmaximal, characteristic, complemented
12#22621907C211yesmaximal, characteristic, complemented
13#22621906C211yesmaximal, characteristic, complemented
14#22621898C211yesmaximal, characteristic, complemented
15#22621893C211yesmaximal, characteristic, complemented
16#22621890C211yesmaximal, characteristic, complemented
17#22621885C211yesmaximal, characteristic, complemented
18#22620278C211yesmaximal, characteristic, complemented
19#22619917C211yesmaximal, characteristic, complemented
20#22619915C211yesmaximal, characteristic, complemented
21#22619726C211yesmaximal, characteristic, complemented
22#22619606C211yesmaximal, characteristic, complemented
23#22619604C211yesmaximal, characteristic, complemented
24#22619396C211yesmaximal, characteristic, complemented
25#22619196C211yesmaximal, characteristic, complemented
26#22619196C211yesmaximal, characteristic, complemented
27#442×D73C211yesmaximal, characteristic, complemented
28#22618645C211yesmaximal, characteristic, complemented
29#22618455C211yesmaximal, characteristic, complemented
30#22618453C211yesmaximal, characteristic, complemented
31C73×#3307C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556637C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic
37C2×#14556599C2211yescharacteristic, complemented
38C2×#14556597C2211yescharacteristic, complemented
39#17989321—21no—
40#17989320—21no—
41#17989304—21no—
42#17989301C2211yescharacteristic, complemented
43#17989300C2211yescharacteristic, complemented
44#17989290C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989283C2211yescharacteristic, complemented
47#17989255—21no—
48#17989240C2211yescharacteristic, complemented
49#17989238—21no—
50#17989238C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic, complemented
52#17989229—21no—
53#17989229—21no—
54#17989228C2211yescharacteristic, complemented
55#17989228C2211yescharacteristic, complemented
56#17989225C2211yescharacteristic, complemented
57#17989225C2211yescharacteristic, complemented
58D4×D292C2211yescharacteristic, complemented
59D4×D292C2211yescharacteristic, complemented
60#17989221—21no—
61#17989176—21no—
62#17989169—21no—
63#17989167C2211yescharacteristic
64#17989167C2211yescharacteristic
65#17989153C2211yescharacteristic, complemented
66#17989153C2211yescharacteristic, complemented
67#17989148—21no—
68#17989148—21no—
69#17989143C2211yescharacteristic, complemented
70#17989138C2211yescharacteristic
71#17989134C2211yescharacteristic
72#17989096—21no—
73#17989095—21no—
74C2×#14556566—21no—
75#121×D73—21no—
76#17989068C2211yescharacteristic, complemented
77#17989067C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic
79C4×D4×D73C2211yescharacteristic, complemented
80#17988955C2211yescharacteristic, complemented
81#17988953C2211yescharacteristic, complemented
82#17988952C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic, complemented
100#17988905C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic, complemented
113#17988835C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988824C2211yescharacteristic, complemented
116#17988823C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988819C2211yescharacteristic, complemented
120#17988818C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988789C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic, complemented
129#17988735C2211yescharacteristic, complemented
130#17988735C2211yescharacteristic, complemented
131#17988732C2211yescharacteristic, complemented
132#17988732C2211yescharacteristic, complemented
133#17988731C2211yescharacteristic, complemented
134#17988731C2211yescharacteristic, complemented
135#17988723C2211yescharacteristic, complemented
136#17988723C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic, complemented
140#17988720C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988661C2211yescharacteristic, complemented
151#17988660C2211yescharacteristic, complemented
152#17988659C2211yescharacteristic, complemented
153#17988658C2211yescharacteristic, complemented
154#17988657C2211yescharacteristic, complemented
155#17988656C2211yescharacteristic, complemented
156#17988655C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#106×D73C2211yescharacteristic, complemented
160#17988609C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988591C2211yescharacteristic, complemented
163#17988590C2211yescharacteristic
164#17988590C2211yescharacteristic
165#17988590C2211yescharacteristic, complemented
166#17988590C2211yescharacteristic, complemented
167#17988588C2211yescharacteristic, complemented
168#17988587C2211yescharacteristic, complemented
169#17988587C2211yescharacteristic, complemented
170#17988587C2211yescharacteristic, complemented
171#17988587C2211yescharacteristic, complemented
172#17988583C2211yescharacteristic, complemented
173#17988582C2211yescharacteristic, complemented
174#17988582C2211yescharacteristic, complemented
175#17988582C2211yescharacteristic, complemented
176#17988582C2211yescharacteristic, complemented
177#17988582C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179C2×#14556513C2211yescharacteristic, complemented
180C2×#14556511C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic, complemented
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556637—24no—
204#14556637—24no—
205#14556637—42no—
206#14556637—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924028—21no—
212C2×#11924028—21no—
213C2×#11924028—21no—
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C22×D292—21no—
218C22×D292—21no—
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73—21no—
233#14556618—42no—
234#14556618—42no—
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244D8×D73—24no—
245#14556599—42no—
246#14556597—42no—
247C2×#11924012C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×#11924011C2311yescharacteristic
251C2×#11924011C2311yescharacteristic
252C22×#10596831C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257#14556590D411yescharacteristic
258#14556590C2311yescharacteristic
259#14556590C2311yescharacteristic
260#14556588C2311yescharacteristic
261#14556587—21no—
262#14556587—21no—
263#14556587D411yescharacteristic
264#14556586—21no—
265#14556586—21no—
266#14556584—21no—
267#14556583C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556579—21no—
271#14556578—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577D411yescharacteristic
277#14556577D411yescharacteristic
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556574—21no—
285#14556574—21no—
286#14556574—21no—
287#14556574—21no—
288#14556573—21no—
289#14556573—21no—
290#14556572—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566—21no—
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566D411yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564D411yescharacteristic
325#14556564D411yescharacteristic
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556562D411yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345C4×Dic146—21no—
346#14556556—21no—
347#14556556—21no—
348#14556556—21no—
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355#14556553—21no—
356#14556553—21no—
357#14556553—21no—
358#14556553—21no—
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73C2311yescharacteristic
367C4×C22⋊D73C2311yescharacteristic
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556550C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556549C2311yescharacteristic
378#14556548—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443#14556501C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#126×C73—21no—
453#125×C73C2311yescharacteristic
454#123×C73—21no—
455#123×C73—21no—
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73—21no—
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73—21no—
469C2×C4⋊C4×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486#97×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493#11924029—22no—
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—22no—
499#11924029—41no—
500#11924029—41no—
501#11924028—22no—
502#11924028—22no—
503#11924028—22no—
504#11924028—22no—
505#11924028—44no—
506#11924028—44no—
507#11924028—82no—
508#11924027—82no—
509C2×Dic146—21no—
510C2×Dic146—21no—
511C2×Dic146C2×D411yescharacteristic
512C2×Dic146C2×D411yescharacteristic
513C2×D292—22no—
514C2×D292—22no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—41no—
528C2×D292—41no—
529C2×D292—44no—
530C2×D292—44no—
531C2×D292—82no—
532C2×D292C2×D411yescharacteristic
533C2×D292C2×D411yescharacteristic
534C2×D292C2×D411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—22no—
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—44no—
565D4×D73—44no—
566D4×D73—82no—
567D4×D73#4114yescomplemented
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—82no—
584C2×C4×D73—82no—
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590#11924015—41no—
591#11924015—41no—
592D584—22no—
593D584—41no—
594D584—41no—
595#11924013—22no—
596#11924013—22no—
597#11924013—41no—
598#11924013—41no—
599#11924012—41no—
600#11924011—22no—
601#11924011—22no—
602#11924011—41no—
603#11924011—41no—
604C2×#10596831—41no—
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C8×D73—22no—
610C8×D73—22no—
611C8×D73—41no—
612C8×D73—41no—
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007C2×D411yescharacteristic
630#11924007C2×D411yescharacteristic
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73C2×D411yescharacteristic
637C22⋊Dic73C2×D411yescharacteristic
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73C2×D411yescharacteristic
670C4×Dic73C2×D411yescharacteristic
671C4×Dic73C2411yescharacteristic
672#41×C73—22no—
673#41×C73—22no—
674#41×C73—41no—
675#41×C73—41no—
676C2×Q8×C73C2411yescharacteristic
677C2×Q8×C73C2411yescharacteristic
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73C2×D411yescharacteristic
683C2×D4×C73C2411yescharacteristic
684C2×D4×C73C2411yescharacteristic
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692SD16×C73—41no—
693SD16×C73—41no—
694D8×C73—22no—
695M16×C73—41no—
696C2×C8×C73—41no—
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73—21no—
707C4⋊C4×C73—21no—
708C4⋊C4×C73C2×D411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C4⋊C4×C73C2411yescharacteristic
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73C2×D411yescharacteristic
721C22⋊C4×C73C2×D411yescharacteristic
722C42×C73—21no—
723C42×C73C2411yescharacteristic
724C23×C73—21no—
725C23×C73—21no—
726C23×C73C22×D411yescharacteristic
727C23×C73C22×D411yescharacteristic
728C22×D73—21no—
729C22×D73—24no—
730C22×D73—21no—
731C22×D73—21no—
732C22×D73—21no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73—81no—
744C22×D73—81no—
745C22×D73—81no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73C22×D411yescharacteristic
751C22×D73C22×D411yescharacteristic
752C22×D73C22×D411yescharacteristic
753Q8×C73—21no—
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—41no—
761D4×C73—42no—
762D4×C73—42no—
763D4×C73—81no—
764D4×C73—81no—
765D4×C73C2×#4112yes—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—42no—
777C2×C4×C73—42no—
778C2×C4×C73—42no—
779C2×C4×C73—81no—
780C2×C4×C73—81no—
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C2511yescharacteristic
786C22⋊D73—22no—
787C22⋊D73—22no—
788C22⋊D73—24no—
789C22⋊D73—22no—
790C22⋊D73—22no—
791C22⋊D73—41no—
792C22⋊D73—41no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—42no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814D292—22no—
815D292—22no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—21no—
822D292—21no—
823D292—41no—
824D292—42no—
825D292—42no—
826D292—42no—
827D292—42no—
828D292—42no—
829D292—42no—
830D292—42no—
831D292—81no—
832D292—81no—
833D292—81no—
834D292—81no—
835D292—81no—
836D292C2×#4112yes—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—41no—
842C4×D73—41no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73C2×#4112yes—
856C4×D73H(5,𝔽2)12yes—
857Dic146—22no—
858Dic146—22no—
859Dic146—42no—
860Dic146—81no—
861C8×C73—21no—
862C8×C73—21no—
863C8×C73—21no—
864C8×C73—21no—
865#10596831—21no—
866#10596831—21no—
867#10596831—21no—
868#10596831—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—22no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73C23×D411yescharacteristic
882C2×D73—21no—
883C2×D73—21no—
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—22no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—84no—
903C2×D73—84no—
904C2×D73—162no—
905C2×D73—162no—
906C2×D73—162no—
907C2×D73—162no—
908C2×D73#54612yes—
909C4×C73—21no—
910C4×C73—21no—
911C4×C73—21no—
912C4×C73—21no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73—41no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73C22×#4111yescharacteristic
920C4×C73C2×H(5,𝔽2)11yescharacteristic
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—21no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928Dic73—41no—
929Dic73#54612yes—
930#61218—731nomaximal, Sylow
931C2×C73—42no—
932C2×C73—41no—
933C2×C73—41no—
934C2×C73—81no—
935C2×C73C2×#54611yescharacteristic
936C2×C73#358511yescharacteristic
937C2×C73#358511yescharacteristic
938D73—22no—
939D73—41no—
940D73—41no—
941D73—42no—
942D73—81no—
943D73—81no—
944D73—81no—
945#3506—731no—
946#3496—731no—
947#3319—731no—
948#3319—731no—
949#3319—731no—
950#3319—731no—
951#3318—731no—
952#3318—731no—
953#3318—731no—
954#3318—731no—
955#3307—731no—
956#3307—731no—
957#3307—731no—
958#3307D7311yescharacteristic, complemented
959#3306—731no—
960#3306—731no—
961#3306—731no—
962#3306—731no—
963#3135—731no—
964#3099—731no—
965#3099—731no—
966#3077—731no—
967#3062—731no—
968#3062—731no—
969#3036—731no—
970#3008—731no—
971#3008—731no—
972C2×#442—731no—
973#2932—731no—
974#2897—731no—
975#2897—731no—
976C73#6121811yescharacteristic, complemented, Sylow
977C2×H(5,𝔽2)—731no—
978C2×H(5,𝔽2)—731no—
979C2×AGL(1,ℤ/8)—731no—
980C2×AGL(1,ℤ/8)—731no—
981C22×D8—731no—
982C2×#131—731no—
983C2×#131—731no—
984#559—1461no—
985#559—1461no—
986#556—1461no—
987#555—731no—
988#555—731no—
989#553—731no—
990#553—731no—
991#553—731no—
992#553C2×D7311yescharacteristic, complemented
993#550—1461no—
994#547—731no—
995#547—731no—
996#547—731no—
997#547—1461no—
998#547C2×D7311yescharacteristic, complemented
999#546—731no—
1000#546—731no—
1001#546—731no—
1002#546—731no—
1003#546—1461no—
1004#546—1461no—
1005D42—731no—
1006D42—731no—
1007D42—1461no—
1008#538—1461no—
1009#538—1461no—
1010#537—731no—
1011#537—731no—
1012#535—731no—
1013#535—731no—
1014#534—1461no—
1015#534—1461no—
1016#533—731no—
1017#532—731no—
1018#532—731no—
1019#525—1461no—
1020#525—1461no—
1021C2×#121—1461no—
1022C2×#121—1461no—
1023#520—731no—
1024#520—731no—
1025C2×C4×D4—731no—
1026C2×C4×D4—731no—
1027#491—731no—
1028#491C2×D7311yescharacteristic, complemented
1029#490—731no—
1030#490—731no—
1031#489—731no—
1032#489—731no—
1033#489—731no—
1034#489—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485C2×D7311yescharacteristic, complemented
1039#483—731no—
1040#483—731no—
1041#483—731no—
1042#483C2×D7311yescharacteristic, complemented
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#481—731no—
1048#481—731no—
1049#481—731no—
1050#481—731no—
1051#478—731no—
1052#478—731no—
1053#478—731no—
1054#478C2×D7311yescharacteristic, complemented
1055#476—731no—
1056#476—731no—
1057#474—731no—
1058#474—731no—
1059#469—731no—
1060#469—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468C2×D7311yescharacteristic, complemented
1067#466—731no—
1068#466—731no—
1069#466—731no—
1070#466—731no—
1071#465—731no—
1072#465—731no—
1073#465—731no—
1074#465C2×D7311yescharacteristic, complemented
1075#463—731no—
1076#463—731no—
1077#463—731no—
1078#463—731no—
1079#461—731no—
1080#461C2×D7311yescharacteristic, complemented
1081#459—731no—
1082#459—731no—
1083#449—731no—
1084#449—731no—
1085#449—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449C2×D7311yescharacteristic, complemented
1090#449C2×D7311yescharacteristic, complemented
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#442—731no—
1100#442—731no—
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442—731no—
1105#442—731no—
1106#442C2×D7311yescharacteristic, complemented
1107#435—731no—
1108#435—731no—
1109#435—731no—
1110#435—731no—
1111#435—731no—
1112#435—731no—
1113#435—731no—
1114#435C2×D7311yescharacteristic, complemented
1115#428—731no—
1116#428—731no—
1117C2×#106—731no—
1118#423—731no—
1119#418—731no—
1120#418—731no—
1121#418—731no—
1122#418—731no—
1123#418—731no—
1124#418—731no—
1125#417—731no—
1126#417—731no—
1127#417—731no—
1128#417—731no—
1129#417—731no—
1130#417C2×D7311yescharacteristic, complemented
1131#416—731no—
1132#416—731no—
1133#416—731no—
1134#416—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416C2×D7311yescharacteristic, complemented
1139C2×#102—731no—
1140C2×#102—731no—
1141C2×#102—731no—
1142C2×#102—731no—
1143C2×#102—731no—
1144C2×#102—731no—
1145#408—731no—
1146#408—731no—
1147C2×#97—731no—
1148H(5,𝔽2)—2922no—
1149H(5,𝔽2)—2922no—
1150H(5,𝔽2)—1464no—
1151H(5,𝔽2)—1464no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×D4—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—731no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C22×D4—1461no—
1175C22×D4—1461no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C23×C4—1461no—
1179C23×C4—1461no—
1180AGL(1,ℤ/8)—2922no—
1181AGL(1,ℤ/8)—2922no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16C22×D7311yescharacteristic
1185C2×SD16C22×D7311yescharacteristic
1186C2×D8—731no—
1187C2×D8—731no—
1188C2×D8—731no—
1189C2×D8—731no—
1190C2×D8—731no—
1191C2×D8—731no—
1192C2×D8—731no—
1193C2×D8—1464no—
1194C2×D8C22×D7311yescharacteristic
1195#131—2922no—
1196#131—2922no—
1197C2×M16—731no—
1198C2×M16—731no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16C22×D7311yescharacteristic
1203C22×C8—731no—
1204C22×C8—731no—
1205C22×C8—731no—
1206C22×C8—731no—
1207C22×C8—731no—
1208C22×C8C22×D7311yescharacteristic
1209C4⋊Q8—731no—
1210C4⋊Q8—731no—
1211C4⋊Q8—731no—
1212C4⋊Q8C22×D7311yescharacteristic
1213#127—731no—
1214#127—731no—
1215#127—1461no—
1216#127—1461no—
1217#126—21no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#125—731no—
1222#125C22×D7311yescharacteristic
1223#124—731no—
1224#124—731no—
1225#124—731no—
1226#124—731no—
1227#124—1461no—
1228#124—1461no—
1229#124—1461no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249C22⋊Q8—731no—
1250C22⋊Q8—731no—
1251C22⋊Q8—1461no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8—1461no—
1255C22⋊Q8—1461no—
1256C22⋊Q8—1461no—
1257C22⋊Q8C22×D7311yescharacteristic
1258C22⋊Q8C22×D7311yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—731no—
1262#121—731no—
1263#121—731no—
1264#121—731no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—731no—
1273#121—731no—
1274#121—731no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121—1461no—
1289#121—1461no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121C22×D7311yescharacteristic
1296#121C22×D7311yescharacteristic
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309C4×Q8—1461no—
1310C4×Q8—1461no—
1311C4×Q8—1461no—
1312C4×Q8—1461no—
1313C4×D4—21no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4C22×D7311yescharacteristic
1339C4×D4C22×D7311yescharacteristic
1340C4×D4C22×D7311yescharacteristic
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—731no—
1346#117—1461no—
1347#117—1461no—
1348#117C22×D7311yescharacteristic
1349C2×C4⋊C4—21no—
1350C2×C4⋊C4—731no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—731no—
1354C2×C4⋊C4—731no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4C22×D7311yescharacteristic
1357C2×C22⋊C4—1461no—
1358C2×C22⋊C4—1461no—
1359C2×C22⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C42—731no—
1364#107—731no—
1365#107—731no—
1366#107—731no—
1367#107C22×D7311yescharacteristic
1368#106—731no—
1369#106—731no—
1370#106—731no—
1371#106—731no—
1372#106—731no—
1373#106—731no—
1374#106C22×D7311yescharacteristic
1375#106C22×D7311yescharacteristic
1376C4⋊C8—731no—
1377C4⋊C8—731no—
1378C4⋊C8—731no—
1379C4⋊C8C22×D7311yescharacteristic
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103C22×D7311yescharacteristic
1387#103C22×D7311yescharacteristic
1388#103C22×D7311yescharacteristic
1389#103C22×D7311yescharacteristic
1390#103C22×D7311yescharacteristic
1391#103C22×D7311yescharacteristic
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102C22×D7311yescharacteristic
1417#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428#97—731no—
1429#97—731no—
1430#97—731no—
1431#97C22×D7311yescharacteristic
1432C24—1461no—
1433C24—1461no—
1434C24—1461no—
1435C24—1461no—
1436C24—1461no—
1437C24—1461no—
1438#41—22no—
1439#41—22no—
1440#41—41no—
1441#41—41no—
1442#41—2924no—
1443#41—2924no—
1444#41—2921no—
1445#41—2921no—
1446#41—5842no—
1447#41—5842no—
1448#41—1462no—
1449#41—1462no—
1450#41—1462no—
1451#41—1462no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458C2×Q8—731no—
1459C2×Q8—731no—
1460C2×Q8—1461no—
1461C2×Q8—1461no—
1462C2×Q8C23×D7311yescharacteristic
1463C2×Q8C23×D7311yescharacteristic
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—2921no—
1469C2×D4—2921no—
1470C2×D4—2924no—
1471C2×D4—2924no—
1472C2×D4—2924no—
1473C2×D4—2924no—
1474C2×D4—2924no—
1475C2×D4—2924no—
1476C2×D4—2921no—
1477C2×D4—2921no—
1478C2×D4—5842no—
1479C2×D4—5842no—
1480C2×D4—731no—
1481C2×D4—731no—
1482C2×D4—734no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—731no—
1487C2×D4—731no—
1488C2×D4—731no—
1489C2×D4—731no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1462no—
1499C2×D4—1462no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1462no—
1505C2×D4—1462no—
1506C2×D4—1462no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1462no—
1512C2×D4—1462no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4D4×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C2×D4C23×D7311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—5842no—
1532C22×C4—5842no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4C23×D7311yescharacteristic
1554C22×C4C23×D7311yescharacteristic
1555SD16—41no—
1556SD16—41no—
1557SD16—2921no—
1558SD16—2921no—
1559D8—22no—
1560D8—2921no—
1561D8—2921no—
1562D8—2921no—
1563D8—2921no—
1564D8—1462no—
1565D8—1462no—
1566D8—1462no—
1567M16—41no—
1568M16—2921no—
1569M16—2921no—
1570M16—2921no—
1571M16—1462no—
1572M16—1462no—
1573C2×C8—41no—
1574C2×C8—2921no—
1575C2×C8—2921no—
1576C2×C8—2921no—
1577C2×C8—731no—
1578C2×C8—731no—
1579C2×C8—731no—
1580C2×C8—731no—
1581C2×C8—1462no—
1582C2×C8—1462no—
1583C2×C8C23×D7311yescharacteristic
1584C2×C8C23×D7311yescharacteristic
1585C2×C8C23×D7311yescharacteristic
1586C2×C8C23×D7311yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4D4×D7311yescharacteristic
1613C4⋊C4C23×D7311yescharacteristic
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—731no—
1625C22⋊C4—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4D4×D7311yescharacteristic
1658C22⋊C4D4×D7311yescharacteristic
1659C42—21no—
1660C42—731no—
1661C42—731no—
1662C42—731no—
1663C42—1461no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42C23×D7311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—2922no—
1672C23—2922no—
1673C23—2922no—
1674C23—2922no—
1675C23—2922no—
1676C23—5841no—
1677C23—5841no—
1678C23—5841no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—5841no—
1683C23—5841no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—731no—
1689C23—731no—
1690C23—731no—
1691C23—1464no—
1692C23—1461no—
1693C23—1461no—
1694C23—1461no—
1695C23—1461no—
1696C23C2×D4×D7311yescharacteristic
1697C23C2×D4×D7311yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—2922no—
1703Q8—5841no—
1704Q8—1462no—
1705Q8—1462no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—41no—
1710D4—42no—
1711D4—42no—
1712D4—81no—
1713D4—81no—
1714D4—2922no—
1715D4—2922no—
1716D4—2922no—
1717D4—2921no—
1718D4—2922no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2921no—
1726D4—2921no—
1727D4—5841no—
1728D4—5841no—
1729D4—5841no—
1730D4—5841no—
1731D4—5841no—
1732D4—5841no—
1733D4—5841no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—732no—
1739D4—1462no—
1740D4—1462no—
1741D4—1464no—
1742D4—1462no—
1743D4—1462no—
1744D4—1462no—
1745D4—1462no—
1746D4—1461no—
1747D4—1461no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4#41×D7312yes—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—2922no—
1770C2×C4—2921no—
1771C2×C4—2921no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—732no—
1788C2×C4—732no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—731no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4C2×D4×D7311yescharacteristic
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—5844no—
1838C22—5844no—
1839C22—732no—
1840C22—11682no—
1841C22—11682no—
1842C22—11682no—
1843C22—11682no—
1844C22—1462no—
1845C22—1461no—
1846C22—1461no—
1847C22—1461no—
1848C22—1461no—
1849C22—1461no—
1850C22—1461no—
1851C22—1461no—
1852C22—1461no—
1853C22C22×D4×D7311yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—2921no—
1865C4—2921no—
1866C4—2921no—
1867C4—2921no—
1868C4—732no—
1869C4—1461no—
1870C4—1461no—
1871C4—1461no—
1872C4—1461no—
1873C4C2×#41×D7311yescharacteristic
1874C4H(5,𝔽2)×D7311yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—81no—
1879C2—2922no—
1880C2—2921no—
1881C2—2921no—
1882C2—5841no—
1883C2—5841no—
1884C2—5841no—
1885C2—1462no—
1886C2#546×D7311yescharacteristic
1887C2#2262470811yescharacteristic
1888C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3307C2
socleC22×C73C23×D4
hypercenter#3307D73
hypocenterC73#61218
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #22623777C2semidirect
2. #22623689C2semidirect
3. #22622091C2semidirect
4. #22622090C2semidirect
5. #22622083C2semidirect
6. #22622082C2semidirect
7. #22622077C2semidirect
8. #22622074C2semidirect
9. #22622069C2semidirect
10. #22622066C2semidirect
11. #22621914C2semidirect
12. #22621907C2semidirect
13. #22621906C2semidirect
14. #22621898C2semidirect
15. #22621893C2semidirect
16. #22621890C2semidirect
17. #22621885C2semidirect
18. #22620278C2semidirect
19. #22619917C2semidirect
20. #22619915C2semidirect
21. #22619726C2semidirect
22. #22619606C2semidirect
23. #22619604C2semidirect
24. #22619396C2semidirect
25. #22619196C2semidirect
26. #22619196C2semidirect
27. #442×D73C2semidirect
28. #22618645C2semidirect
29. #22618455C2semidirect
30. #22618453C2semidirect
31. C73×#3307C2semidirect
34. C2×#14556618C22semidirect
35. C2×#14556618C22semidirect
37. C2×#14556599C22semidirect
38. C2×#14556597C22semidirect
42. #17989301C22semidirect
43. #17989300C22semidirect
44. #17989290C22semidirect
45. #17989287C22semidirect
46. #17989283C22semidirect
48. #17989240C22semidirect
50. #17989238C22semidirect
51. #17989237C22semidirect
54. #17989228C22semidirect
55. #17989228C22semidirect
56. #17989225C22semidirect
57. #17989225C22semidirect
58. D4×D292C22semidirect
59. D4×D292C22semidirect
65. #17989153C22semidirect
66. #17989153C22semidirect
69. #17989143C22semidirect
76. #17989068C22semidirect
77. #17989067C22semidirect
79. C4×D4×D73C22semidirect
80. #17988955C22semidirect
81. #17988953C22semidirect
82. #17988952C22semidirect
83. #17988948C22semidirect
84. #17988948C22semidirect
85. #17988948C22semidirect
86. #17988948C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988916C22semidirect
91. #17988916C22semidirect
92. #17988915C22semidirect
93. #17988914C22semidirect
94. #17988913C22semidirect
95. #17988912C22semidirect
96. #17988911C22semidirect
97. #17988907C22semidirect
98. #17988907C22semidirect
99. #17988906C22semidirect
100. #17988905C22semidirect
101. #17988888C22semidirect
102. #17988887C22semidirect
103. #17988884C22semidirect
104. #17988876C22semidirect
105. #17988875C22semidirect
106. #17988866C22semidirect
107. #17988865C22semidirect
108. #17988841C22semidirect
109. #17988840C22semidirect
110. #17988839C22semidirect
111. #17988838C22semidirect
112. #17988836C22semidirect
113. #17988835C22semidirect
114. #17988830C22semidirect
115. #17988824C22semidirect
116. #17988823C22semidirect
117. #17988822C22semidirect
118. #17988821C22semidirect
119. #17988819C22semidirect
120. #17988818C22semidirect
121. #17988813C22semidirect
122. #17988805C22semidirect
123. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988789C22semidirect
127. #17988783C22semidirect
128. #17988782C22semidirect
129. #17988735C22semidirect
130. #17988735C22semidirect
131. #17988732C22semidirect
132. #17988732C22semidirect
133. #17988731C22semidirect
134. #17988731C22semidirect
135. #17988723C22semidirect
136. #17988723C22semidirect
137. #17988722C22semidirect
138. #17988722C22semidirect
139. #17988720C22semidirect
140. #17988720C22semidirect
141. #17988719C22semidirect
142. #17988719C22semidirect
143. #17988700C22semidirect
144. #17988699C22semidirect
145. #17988698C22semidirect
146. #17988697C22semidirect
147. #17988697C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988661C22semidirect
151. #17988660C22semidirect
152. #17988659C22semidirect
153. #17988658C22semidirect
154. #17988657C22semidirect
155. #17988656C22semidirect
156. #17988655C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #106×D73C22semidirect
160. #17988609C22semidirect
161. #17988593C22semidirect
162. #17988591C22semidirect
165. #17988590C22semidirect
166. #17988590C22semidirect
167. #17988588C22semidirect
168. #17988587C22semidirect
169. #17988587C22semidirect
170. #17988587C22semidirect
171. #17988587C22semidirect
172. #17988583C22semidirect
173. #17988582C22semidirect
174. #17988582C22semidirect
175. #17988582C22semidirect
176. #17988582C22semidirect
177. #17988582C22semidirect
178. #17988582C22semidirect
179. C2×#14556513C22semidirect
180. C2×#14556511C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. #97×D73C22semidirect
188. #553×C73C22semidirect
189. #547×C73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #461×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
567. D4×D73#41semidirect
958. #3307D73semidirect
976. C73#61218semidirect
992. #553C2×D73semidirect
998. #547C2×D73semidirect
1028. #491C2×D73semidirect
1038. #485C2×D73semidirect
1042. #483C2×D73semidirect
1054. #478C2×D73semidirect
1066. #468C2×D73semidirect
1074. #465C2×D73semidirect
1080. #461C2×D73semidirect
1089. #449C2×D73semidirect
1090. #449C2×D73semidirect
1106. #442C2×D73semidirect
1114. #435C2×D73semidirect
1130. #417C2×D73semidirect
1138. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237772
#226236892
#226220912
#226220902
#226220832
#226220822
#226220772
#226220742
#226220692
#226220662
#226219142
#226219072
#226219062
#226218982
#226218932
#226218902
#226218852
#226202782
#226199172
#226199152
#226197262
#226196062
#226196042
#226193962
#226191962
#442×D732
#226186452
#226184552
#226184532
C73×#33072
#6121873