Finite Group Databasebeta

← #33968228

Subgroups — #33968228

Order 18688.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic, complemented
2#22623487C211yesmaximal, characteristic, complemented
3#22622924C211yesmaximal, characteristic, complemented
4#22622795C211yesmaximal, characteristic, complemented
5#22622588C211yesmaximal, characteristic, complemented
6#22622577C211yesmaximal, characteristic, complemented
7#22622552C211yesmaximal, characteristic, complemented
8#22622490C211yesmaximal, characteristic, complemented
9#22622486C211yesmaximal, characteristic, complemented
10#22622242C211yesmaximal, characteristic, complemented
11#22622168C211yesmaximal, characteristic, complemented
12#22622153C211yesmaximal, characteristic, complemented
13#22622146C211yesmaximal, characteristic, complemented
14#22622131C211yesmaximal, characteristic, complemented
15#22622127C211yesmaximal, characteristic, complemented
16#22621540C211yesmaximal, characteristic, complemented
17#22621539C211yesmaximal, characteristic, complemented
18#22621528C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620646C211yesmaximal, characteristic, complemented
21#22620091C211yesmaximal, characteristic, complemented
22#22620067C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620046C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22620020C211yesmaximal, characteristic, complemented
27#22618949C211yesmaximal, characteristic, complemented
28C4×#14556619C211yesmaximal, characteristic, complemented
29#22618736C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3183C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35#17989319C2211yescharacteristic, complemented
36#17989306C2211yescharacteristic, complemented
37#17989301C2211yescharacteristic
38#17989295C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989293C2211yescharacteristic, complemented
41#17989290C2211yescharacteristic
42#17989289C2211yescharacteristic
43#17989288—21no—
44#17989282—21no—
45#17989275C2211yescharacteristic, complemented
46#17989273—21no—
47#17989271C2211yescharacteristic, complemented
48#17989265—21no—
49#17989262—21no—
50#17989262—21no—
51#17989260—21no—
52#17989239C2211yescharacteristic
53#17989234C2211yescharacteristic, complemented
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic, complemented
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic, complemented
59#17989141C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic
61#17989124C2211yescharacteristic, complemented
62#17989119—21no—
63#17989119C2211yescharacteristic, complemented
64#17989115—21no—
65#17989115—21no—
66#17989099—21no—
67#17989096—21no—
68#17989096—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924028C2211yescharacteristic
72C4×#11924028C2211yescharacteristic, complemented
73C2×C4×D292C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73—21no—
78#17988991C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988968C2211yescharacteristic, complemented
81#17988958C2211yescharacteristic, complemented
82#17988943C2211yescharacteristic, complemented
83#17988940C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988931C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988898C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988884C2211yescharacteristic, complemented
105#17988884C2211yescharacteristic, complemented
106#17988880C2211yescharacteristic, complemented
107#17988876C2211yescharacteristic, complemented
108#17988876C2211yescharacteristic, complemented
109#17988875C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988834C2211yescharacteristic, complemented
115#17988832C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic
122#17988800C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic
124#17988799C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988780C2211yescharacteristic
130#17988752C2211yescharacteristic
131#17988748C2211yescharacteristic
132#17988748C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988737C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic
137#17988730C2211yescharacteristic
138#17988722C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988719C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143C8×Dic146C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic, complemented
149#17988692C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988689C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155#17988685C2211yescharacteristic, complemented
156C4×#11924017C2211yescharacteristic, complemented
157C4×#11924017C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159SD16×Dic73C2211yescharacteristic, complemented
160#17988672C2211yescharacteristic, complemented
161#17988672C2211yescharacteristic, complemented
162C4×D584C2211yescharacteristic
163C4×D584C2211yescharacteristic, complemented
164#17988669C2211yescharacteristic
165#17988669C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988666C2211yescharacteristic, complemented
169#17988666C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988593C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic
185#17988587C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic
196#468×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028D411yescharacteristic
207C2×#11924028C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556618—24no—
217#14556618—24no—
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556582—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580C2311yescharacteristic
253#14556578—21no—
254#14556578C2311yescharacteristic
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556576—21no—
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556575—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556571—21no—
273#14556571—21no—
274#14556571—21no—
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556568—21no—
283#14556568—21no—
284#14556567C2311yescharacteristic
285#14556567C2311yescharacteristic
286#14556566—21no—
287#14556566—21no—
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556564—21no—
291#14556564—21no—
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556563—21no—
296#14556563—21no—
297#14556562—21no—
298#14556562C2311yescharacteristic
299#14556562C2311yescharacteristic
300#14556561—21no—
301#14556561—21no—
302#14556561—21no—
303#14556561—21no—
304#14556559—21no—
305#14556559—21no—
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146D411yescharacteristic
310C4×Dic146C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312C4×Dic146C2311yescharacteristic
313C4×D292—21no—
314C4×D292—21no—
315C4×D292—21no—
316C4×D292—21no—
317C4×D292—21no—
318C4×D292D411yescharacteristic
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321C4×D292C2311yescharacteristic
322C4×D292C2311yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326D4×Dic73—21no—
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556550D411yescharacteristic
352#14556550C2311yescharacteristic
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548D411yescharacteristic
363#14556548D411yescharacteristic
364#14556547—21no—
365#14556547—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C42×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444#126×C73—21no—
445#126×C73—21no—
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451#123×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924028—22no—
489#11924028—42no—
490#11924028—41no—
491#11924028—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—22no—
517D4×D73—22no—
518D4×D73—41no—
519D4×D73—41no—
520D4×D73—44no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—44no—
540C2×C4×D73—82no—
541C2×C4×D73—82no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548#11924018—41no—
549#11924017—22no—
550#11924017—22no—
551#11924016—41no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555D584—22no—
556D584#4114yescomplemented
557#11924013—22no—
558#11924013—22no—
559#11924013—41no—
560#11924011—22no—
561#11924011—22no—
562#11924011—41no—
563#11924011—41no—
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73C2×D411yescharacteristic
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654Q16×C73—41no—
655SD16×C73—22no—
656SD16×C73—22no—
657D8×C73—41no—
658M16×C73—22no—
659M16×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—42no—
718D4×C73—81no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—41no—
728C2×C4×C73—41no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—41no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—42no—
752C2×Dic73—81no—
753C2×Dic73—81no—
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—41no—
765D292—42no—
766D292—42no—
767D292—42no—
768D292—42no—
769D292—81no—
770D292C2×#4112yes—
771D292C2×#4112yes—
772C4×D73—21no—
773C4×D73—21no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—22no—
777C4×D73—41no—
778C4×D73—41no—
779C4×D73—41no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—22no—
796Dic146—21no—
797Dic146—21no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—22no—
823C2×D73—22no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73#57512yes—
860#61464—731nomaximal, Sylow
861C2×C73—41no—
862C2×C73—81no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—41no—
868D73—41no—
869D73—42no—
870D73—42no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3394—731no—
875#3380—731no—
876#3361—731no—
877#3360—731no—
878#3357—731no—
879#3351—731no—
880#3351—731no—
881#3331—731no—
882#3325—731no—
883#3323—731no—
884#3323—731no—
885#3322—731no—
886#3322—731no—
887#3273—731no—
888#3273—731no—
889#3272—731no—
890#3183—731no—
891#3183D7311yescharacteristic, complemented
892#3182—731no—
893#3116—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3109—731no—
899#2971—731no—
900C4×AGL(1,ℤ/8)—731no—
901C4×AGL(1,ℤ/8)—731no—
902C4×AGL(1,ℤ/8)—731no—
903C73#6146411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×AGL(1,ℤ/8)—731no—
906C2×AGL(1,ℤ/8)—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—1461no—
936#529—1461no—
937#529—1461no—
938#529C2×D7311yescharacteristic, complemented
939#529C2×D7311yescharacteristic, complemented
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#500—731no—
953#499—731no—
954#499C2×D7311yescharacteristic, complemented
955#495—731no—
956#495C2×D7311yescharacteristic, complemented
957#492—731no—
958#488—731no—
959#488—731no—
960#488C2×D7311yescharacteristic, complemented
961#488C2×D7311yescharacteristic, complemented
962#487—731no—
963#486—731no—
964#485—731no—
965#485—731no—
966#485—731no—
967#485—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#477—731no—
985#476—731no—
986#476—731no—
987#476—731no—
988#470—731no—
989#470C2×D7311yescharacteristic, complemented
990#469—731no—
991#469C2×D7311yescharacteristic
992#468—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#468—731no—
998#468C2×D7311yescharacteristic, complemented
999#468C2×D7311yescharacteristic, complemented
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#462—731no—
1009#461—731no—
1010#459—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#452—731no—
1015#452—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#447—731no—
1024C8×Q8—731no—
1025C8×Q8—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442C2×D7311yescharacteristic, complemented
1032#441—731no—
1033#441C2×D7311yescharacteristic, complemented
1034#440—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440C2×D7311yescharacteristic, complemented
1041#440C2×D7311yescharacteristic, complemented
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16—731no—
1046C4×SD16—731no—
1047C4×SD16—731no—
1048C4×D8—731no—
1049C4×D8—731no—
1050C4×D8—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#436—731no—
1055#436—731no—
1056#436—731no—
1057#436—731no—
1058#436—731no—
1059#436—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#428—731no—
1065#428—731no—
1066#418—731no—
1067#418—731no—
1068#418—731no—
1069#417—731no—
1070#417—731no—
1071#417—731no—
1072C4×M16—731no—
1073C4×M16—731no—
1074C4×M16C2×D7311yescharacteristic, complemented
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088AGL(1,ℤ/8)—1464no—
1089AGL(1,ℤ/8)—1464no—
1090C2×Q16—731no—
1091C2×Q16C22×D7311yescharacteristic
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16C22×D7311yescharacteristic
1099C2×SD16C22×D7311yescharacteristic
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C2×M16—731no—
1109C2×M16—731no—
1110C2×M16C22×D7311yescharacteristic
1111C2×M16C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—21no—
1117#126—21no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—1461no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—1461no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124C22×D7311yescharacteristic
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8C22×D7311yescharacteristic
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—731no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97C22×D7311yescharacteristic
1346#97C22×D7311yescharacteristic
1347C4×C8—731no—
1348C4×C8—731no—
1349C4×C8—731no—
1350C4×C8—731no—
1351C4×C8C22×D7311yescharacteristic
1352C4×C8C22×D7311yescharacteristic
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2921no—
1357#41—2922no—
1358#41—2921no—
1359#41—2921no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—2921no—
1373C2×D4—2924no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1462no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1462no—
1392C2×D4—1462no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—2924no—
1402C22×C4—5842no—
1403C22×C4—5842no—
1404C22×C4—731no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—41no—
1432Q16—2921no—
1433SD16—22no—
1434SD16—22no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—41no—
1442D8—2921no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—22no—
1448M16—41no—
1449M16—2921no—
1450M16—2921no—
1451M16—1462no—
1452M16—1462no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
1517C22⋊C4—731no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—21no—
1546C42—21no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—5841no—
1573C23—5841no—
1574C23—5841no—
1575C23—731no—
1576C23—731no—
1577C23—1461no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—5841no—
1586Q8—5841no—
1587Q8—1462no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—81no—
1596D4—2922no—
1597D4—2921no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2921no—
1604D4—2922no—
1605D4—2922no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—732no—
1611D4—732no—
1612D4—1462no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—1462no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8#41×D7312yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—5844no—
1697C22—5844no—
1698C22—5844no—
1699C22—1461no—
1700C22—1461no—
1701C22—1462no—
1702C22—1462no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—732no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—41no—
1733C2—81no—
1734C2—81no—
1735C2—2922no—
1736C2—2922no—
1737C2—2921no—
1738C2—2921no—
1739C2—5841no—
1740C2#2262341711yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3183C2
socleC22×C73C23×D4
hypercenter#3183D73
hypocenterC73#61464
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3183

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623487C2semidirect
3. #22622924C2semidirect
4. #22622795C2semidirect
5. #22622588C2semidirect
6. #22622577C2semidirect
7. #22622552C2semidirect
8. #22622490C2semidirect
9. #22622486C2semidirect
10. #22622242C2semidirect
11. #22622168C2semidirect
12. #22622153C2semidirect
13. #22622146C2semidirect
14. #22622131C2semidirect
15. #22622127C2semidirect
16. #22621540C2semidirect
17. #22621539C2semidirect
18. #22621528C2semidirect
19. #22620656C2semidirect
20. #22620646C2semidirect
21. #22620091C2semidirect
22. #22620067C2semidirect
23. #22620065C2semidirect
24. #22620046C2semidirect
25. #22620034C2semidirect
26. #22620020C2semidirect
27. #22618949C2semidirect
28. C4×#14556619C2semidirect
29. #22618736C2semidirect
30. #22618736C2semidirect
31. C73×#3183C2semidirect
35. #17989319C22semidirect
36. #17989306C22semidirect
38. #17989295C22semidirect
39. #17989293C22semidirect
40. #17989293C22semidirect
45. #17989275C22semidirect
47. #17989271C22semidirect
53. #17989234C22semidirect
55. #17989230C22semidirect
58. #17989221C22semidirect
59. #17989141C22semidirect
61. #17989124C22semidirect
63. #17989119C22semidirect
70. C4×#11924029C22semidirect
72. C4×#11924028C22semidirect
73. C2×C4×D292C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
78. #17988991C22semidirect
79. #17988988C22semidirect
80. #17988968C22semidirect
81. #17988958C22semidirect
82. #17988943C22semidirect
83. #17988940C22semidirect
84. #17988936C22semidirect
85. #17988932C22semidirect
86. #17988931C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988919C22semidirect
91. #17988915C22semidirect
92. #17988913C22semidirect
93. #17988908C22semidirect
94. #17988907C22semidirect
95. #17988904C22semidirect
96. #17988899C22semidirect
97. #17988898C22semidirect
98. #17988892C22semidirect
99. #17988891C22semidirect
100. #17988886C22semidirect
101. #17988886C22semidirect
102. #17988885C22semidirect
103. #17988884C22semidirect
104. #17988884C22semidirect
105. #17988884C22semidirect
106. #17988880C22semidirect
107. #17988876C22semidirect
108. #17988876C22semidirect
109. #17988875C22semidirect
110. #17988844C22semidirect
112. #17988836C22semidirect
113. #17988834C22semidirect
114. #17988834C22semidirect
115. #17988832C22semidirect
116. #17988830C22semidirect
117. #17988830C22semidirect
118. #17988811C22semidirect
119. #17988806C22semidirect
120. #17988805C22semidirect
122. #17988800C22semidirect
124. #17988799C22semidirect
125. #17988799C22semidirect
126. #17988795C22semidirect
127. #17988791C22semidirect
132. #17988748C22semidirect
133. #17988747C22semidirect
134. #17988739C22semidirect
135. #17988737C22semidirect
138. #17988722C22semidirect
141. #17988719C22semidirect
142. C8×Dic146C22semidirect
143. C8×Dic146C22semidirect
145. #17988700C22semidirect
147. #17988697C22semidirect
148. #17988697C22semidirect
149. #17988692C22semidirect
150. #17988689C22semidirect
151. #17988689C22semidirect
152. #17988687C22semidirect
153. #17988685C22semidirect
154. #17988685C22semidirect
155. #17988685C22semidirect
156. C4×#11924017C22semidirect
157. C4×#11924017C22semidirect
158. SD16×Dic73C22semidirect
159. SD16×Dic73C22semidirect
160. #17988672C22semidirect
161. #17988672C22semidirect
163. C4×D584C22semidirect
167. #17988667C22semidirect
168. #17988666C22semidirect
169. #17988666C22semidirect
170. #17988663C22semidirect
171. #17988663C22semidirect
172. #17988663C22semidirect
173. #17988663C22semidirect
174. #17988644C22semidirect
175. #17988642C22semidirect
176. #17988642C22semidirect
177. #17988629C22semidirect
178. #17988628C22semidirect
179. #17988628C22semidirect
180. #17988593C22semidirect
181. #17988590C22semidirect
182. #17988590C22semidirect
183. #17988589C22semidirect
185. #17988587C22semidirect
186. #17988539C22semidirect
187. #17988539C22semidirect
188. #529×C73C22semidirect
189. #529×C73C22semidirect
190. #499×C73C22semidirect
191. #495×C73C22semidirect
192. #488×C73C22semidirect
193. #488×C73C22semidirect
194. #470×C73C22semidirect
196. #468×C73C22semidirect
197. #468×C73C22semidirect
198. #442×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C4×M16×C73C22semidirect
556. D584#41semidirect
891. #3183D73semidirect
903. C73#61464semidirect
938. #529C2×D73semidirect
939. #529C2×D73semidirect
954. #499C2×D73semidirect
956. #495C2×D73semidirect
960. #488C2×D73semidirect
961. #488C2×D73semidirect
989. #470C2×D73semidirect
998. #468C2×D73semidirect
999. #468C2×D73semidirect
1031. #442C2×D73semidirect
1033. #441C2×D73semidirect
1040. #440C2×D73semidirect
1041. #440C2×D73semidirect
1074. C4×M16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226234872
#226229242
#226227952
#226225882
#226225772
#226225522
#226224902
#226224862
#226222422
#226221682
#226221532
#226221462
#226221312
#226221272
#226215402
#226215392
#226215282
#226206562
#226206462
#226200912
#226200672
#226200652
#226200462
#226200342
#226200202
#226189492
C4×#145566192
#226187362
C73×#31832
#6146473