Finite Group Databasebeta

← #33967967

Subgroups — #33967967

Order 18688.

1920 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#22623538C211yesmaximal, characteristic, complemented
2#22623488C211yesmaximal, characteristic, complemented
3#22623002C211yesmaximal, characteristic, complemented
4#22622886C211yesmaximal, characteristic, complemented
5#22622761C211yesmaximal, characteristic, complemented
6#22622691C211yesmaximal, characteristic, complemented
7#22622387C211yesmaximal, characteristic, complemented
8#22622311C211yesmaximal, characteristic, complemented
9#22622081C211yesmaximal, characteristic, complemented
10#22622015C211yesmaximal, characteristic, complemented
11#22621955C211yesmaximal, characteristic, complemented
12#22621901C211yesmaximal, characteristic, complemented
13#22621784C211yesmaximal, characteristic, complemented
14#22621769C211yesmaximal, characteristic, complemented
15#22621619C211yesmaximal, characteristic, complemented
16#22621461C211yesmaximal, characteristic, complemented
17#22621418C211yesmaximal, characteristic, complemented
18#22620655C211yesmaximal, characteristic, complemented
19#22620642C211yesmaximal, characteristic, complemented
20#22620624C211yesmaximal, characteristic, complemented
21#22620077C211yesmaximal, characteristic, complemented
22#22620074C211yesmaximal, characteristic, complemented
23#22620066C211yesmaximal, characteristic, complemented
24#22620035C211yesmaximal, characteristic, complemented
25#22620035C211yesmaximal, characteristic, complemented
26#22620032C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618738C211yesmaximal, characteristic, complemented
29#22618731C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3347C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556613C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic, complemented
37#17989298C2211yescharacteristic, complemented
38#17989293C2211yescharacteristic, complemented
39#17989292C2211yescharacteristic
40#17989284—21no—
41#17989282—21no—
42#17989281C2211yescharacteristic
43#17989276—21no—
44#17989276C2211yescharacteristic
45#17989276C2211yescharacteristic, complemented
46#17989267—21no—
47#17989267—21no—
48#17989266—21no—
49#17989262—21no—
50#17989242C2211yescharacteristic, complemented
51#17989234C2211yescharacteristic
52#17989234C2211yescharacteristic
53#17989234C2211yescharacteristic, complemented
54#17989233C2211yescharacteristic, complemented
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989132C2211yescharacteristic, complemented
59#17989122C2211yescharacteristic
60#17989120—21no—
61#17989118C2211yescharacteristic, complemented
62#17989118C2211yescharacteristic, complemented
63#17989118C2211yescharacteristic, complemented
64#17989116—21no—
65#17989116—21no—
66#17989097—21no—
67#17989097—21no—
68#17989095—21no—
69#17989055C2211yescharacteristic, complemented
70#17989055C2211yescharacteristic, complemented
71#17989055C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic
73C2×#14556553C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73—21no—
78#17988995C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988981C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic
82#17988970C2211yescharacteristic, complemented
83#17988957C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic
97#17988893C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988864C2211yescharacteristic, complemented
107#17988845C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988829C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic
114#17988817C2211yescharacteristic
115#17988816C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic
122#17988801C2211yescharacteristic
123#17988801C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988793C2211yescharacteristic, complemented
126#17988792C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic, complemented
132#17988739C2211yescharacteristic
133#17988739C2211yescharacteristic
134#17988739C2211yescharacteristic, complemented
135#17988734C2211yescharacteristic, complemented
136#17988730C2211yescharacteristic
137#17988730C2211yescharacteristic
138#17988730C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic
146#17988698C2211yescharacteristic
147#17988698C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic
149#17988697C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic
151#17988696C2211yescharacteristic, complemented
152#17988696C2211yescharacteristic, complemented
153#17988693C2211yescharacteristic, complemented
154#17988693C2211yescharacteristic, complemented
155#17988693C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988686C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988581C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
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#14556613—24no—
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232D8×D73—24no—
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556585—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556583—21no—
250#14556583—21no—
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556579C2311yescharacteristic
257#14556578C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556574—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556571—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556570—21no—
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556567—21no—
291#14556567—21no—
292#14556567—21no—
293#14556566C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556563—21no—
299#14556562—21no—
300#14556562—21no—
301#14556562—21no—
302#14556562—21no—
303#14556561—21no—
304#14556559—21no—
305#14556559—21no—
306#14556559—21no—
307#14556559—21no—
308#14556559—21no—
309Q8×Dic73—21no—
310C4×Dic146C2311yescharacteristic
311#14556556D411yescharacteristic
312#14556556C2311yescharacteristic
313#14556556C2311yescharacteristic
314#14556556C2311yescharacteristic
315#14556556C2311yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321D4×Dic73—21no—
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73D411yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327#14556553—21no—
328#14556553—21no—
329#14556553—21no—
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73C2311yescharacteristic
343C4×C22⋊D73C2311yescharacteristic
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551D411yescharacteristic
354#14556551D411yescharacteristic
355#14556550—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549D411yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547D411yescharacteristic
368#14556547D411yescharacteristic
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73C2311yescharacteristic
444#124×C73—21no—
445#124×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—22no—
485#11924028—22no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—42no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×D292—22no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514D4×D73—22no—
515D4×D73—22no—
516D4×D73—41no—
517D4×D73—41no—
518D4×D73—44no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
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—21no—
540C2×C4×D73—44no—
541C2×C4×D73—82no—
542C2×C4×D73—82no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546Dic292—22no—
547Dic292—41no—
548#11924017—22no—
549#11924017—22no—
550#11924017—22no—
551#11924017—22no—
552#11924017—41no—
553#11924016—41no—
554#11924016—41no—
555#11924016—41no—
556D584—22no—
557D584#4114yescomplemented
558#11924013—22no—
559#11924013—22no—
560#11924013—41no—
561#11924012—41no—
562C2×#10596831—41no—
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C8×D73—22no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580#11924007—21no—
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#11924007—21no—
594#11924007—21no—
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659D8×C73—22no—
660M16×C73—22no—
661C2×C8×C73—22no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
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—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709Q8×C73—81no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—41no—
715D4×C73—42no—
716D4×C73—81no—
717D4×C73—81no—
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—21no—
728C2×C4×C73—21no—
729C2×C4×C73—42no—
730C2×C4×C73—81no—
731C2×C4×C73—81no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—22no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—41no—
753C2×Dic73—41no—
754C2×Dic73—41no—
755C2×Dic73—41no—
756C2×Dic73—42no—
757C2×Dic73—42no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—42no—
770D292—42no—
771D292C2×#4112yes—
772D292C2×#4112yes—
773C4×D73—22no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—41no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—81no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792Dic146—21no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—41no—
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—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73C23×D411yescharacteristic
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—22no—
824C2×D73—22no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—41no—
862C2×C73—41no—
863C2×C73—81no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—22no—
869D73—42no—
870D73—42no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347D7311yescharacteristic, complemented
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555C2×D7311yescharacteristic, complemented
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—1461no—
915#553—1461no—
916#553C2×D7311yescharacteristic, complemented
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—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
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#501—731no—
953#501C2×D7311yescharacteristic, complemented
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482C2×D7311yescharacteristic, complemented
972#482C2×D7311yescharacteristic, complemented
973#482C2×D7311yescharacteristic, complemented
974#480—731no—
975#480C2×D7311yescharacteristic, complemented
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478C2×D7311yescharacteristic, complemented
984#475—731no—
985#474—731no—
986#474—731no—
987#474C2×D7311yescharacteristic, complemented
988#470—731no—
989#469C2×D7311yescharacteristic
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466C2×D7311yescharacteristic, complemented
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
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#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435C2×D7311yescharacteristic, complemented
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428C2×D7311yescharacteristic, complemented
1064#427C2×D7311yescharacteristic, complemented
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
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—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—1464no—
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16C22×D7311yescharacteristic
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8C22×D7311yescharacteristic
1115#127—731no—
1116#126—21no—
1117#126—1461no—
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—731no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—731no—
1137#124—731no—
1138#124—731no—
1139#124—731no—
1140#124—1461no—
1141#124—1461no—
1142#123—21no—
1143#123—1461no—
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—731no—
1163C22⋊Q8—731no—
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⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—21no—
1175#121—21no—
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#121C22×D7311yescharacteristic
1187#121C22×D7311yescharacteristic
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—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×D4—21no—
1206C4×D4—731no—
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—1461no—
1224C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117C22×D7311yescharacteristic
1262#117C22×D7311yescharacteristic
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
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—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107C22×D7311yescharacteristic
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8C22×D7311yescharacteristic
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#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
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#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2921no—
1357#41—2921no—
1358#41—2921no—
1359#41—2922no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—21no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—731no—
1369C2×Q8—1461no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2921no—
1375C2×D4—2924no—
1376C2×D4—2921no—
1377C2×D4—2921no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1462no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1462no—
1390C2×D4—1462no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4D4×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—2924no—
1403C22×C4—5842no—
1404C22×C4—5842no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
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×C4—1461no—
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—2921no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—2921no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—22no—
1448M16—2921no—
1449C2×C8—22no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
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—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
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—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1544C22⋊C4D4×D7311yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—731no—
1556C42—731no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
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—1461no—
1577C23—1461no—
1578C23—1461no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—81no—
1582Q8—2921no—
1583Q8—5841no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—41no—
1595D4—42no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—5841no—
1608D4—5841no—
1609D4—732no—
1610D4—732no—
1611D4—1462no—
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—21no—
1626C2×C4—21no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2921no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2921no—
1643C2×C4—2921no—
1644C2×C4—2921no—
1645C2×C4—2921no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—1462no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4—1461no—
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—21no—
1684C22—21no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—5844no—
1700C22—5844no—
1701C22—5844no—
1702C22—732no—
1703C22—1462no—
1704C22—1462no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942411yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—81no—
1735C2—81no—
1736C2—2922no—
1737C2—2922no—
1738C2—5841no—
1739C2—1462no—
1740C2#2262341811yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3347C2
socleC22×C73C23×D4
hypercenter#3347D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. #22623488C2semidirect
3. #22623002C2semidirect
4. #22622886C2semidirect
5. #22622761C2semidirect
6. #22622691C2semidirect
7. #22622387C2semidirect
8. #22622311C2semidirect
9. #22622081C2semidirect
10. #22622015C2semidirect
11. #22621955C2semidirect
12. #22621901C2semidirect
13. #22621784C2semidirect
14. #22621769C2semidirect
15. #22621619C2semidirect
16. #22621461C2semidirect
17. #22621418C2semidirect
18. #22620655C2semidirect
19. #22620642C2semidirect
20. #22620624C2semidirect
21. #22620077C2semidirect
22. #22620074C2semidirect
23. #22620066C2semidirect
24. #22620035C2semidirect
25. #22620035C2semidirect
26. #22620032C2semidirect
27. #22618941C2semidirect
28. #22618738C2semidirect
29. #22618731C2semidirect
30. #442×D73C2semidirect
31. C73×#3347C2semidirect
35. #17989320C22semidirect
36. #17989307C22semidirect
37. #17989298C22semidirect
38. #17989293C22semidirect
45. #17989276C22semidirect
50. #17989242C22semidirect
53. #17989234C22semidirect
54. #17989233C22semidirect
57. #17989142C22semidirect
58. #17989132C22semidirect
61. #17989118C22semidirect
62. #17989118C22semidirect
63. #17989118C22semidirect
69. #17989055C22semidirect
70. #17989055C22semidirect
71. #17989055C22semidirect
73. C2×#14556553C22semidirect
76. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988987C22semidirect
80. #17988981C22semidirect
82. #17988970C22semidirect
83. #17988957C22semidirect
84. #17988950C22semidirect
85. #17988949C22semidirect
86. #17988945C22semidirect
87. #17988940C22semidirect
88. #17988940C22semidirect
89. #17988928C22semidirect
90. #17988928C22semidirect
91. #17988924C22semidirect
92. #17988924C22semidirect
93. #17988919C22semidirect
94. #17988917C22semidirect
95. #17988911C22semidirect
97. #17988893C22semidirect
98. #17988893C22semidirect
99. #17988890C22semidirect
100. #17988890C22semidirect
101. #17988886C22semidirect
102. #17988886C22semidirect
103. #17988884C22semidirect
104. #17988871C22semidirect
105. #17988866C22semidirect
106. #17988864C22semidirect
107. #17988845C22semidirect
108. #17988831C22semidirect
109. #17988831C22semidirect
110. #17988829C22semidirect
111. #17988829C22semidirect
112. #17988821C22semidirect
115. #17988816C22semidirect
116. #17988814C22semidirect
117. #17988808C22semidirect
118. #17988808C22semidirect
119. #17988803C22semidirect
120. #17988802C22semidirect
123. #17988801C22semidirect
124. #17988801C22semidirect
125. #17988793C22semidirect
126. #17988792C22semidirect
127. #17988786C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988740C22semidirect
134. #17988739C22semidirect
135. #17988734C22semidirect
138. #17988730C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988699C22semidirect
147. #17988698C22semidirect
149. #17988697C22semidirect
151. #17988696C22semidirect
152. #17988696C22semidirect
153. #17988693C22semidirect
154. #17988693C22semidirect
155. #17988693C22semidirect
156. #17988686C22semidirect
157. #17988686C22semidirect
158. #17988686C22semidirect
159. #17988686C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
166. #17988674C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
171. #17988659C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #106×D73C22semidirect
179. #17988591C22semidirect
180. #17988586C22semidirect
181. #17988581C22semidirect
182. #17988581C22semidirect
184. #102×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #555×C73C22semidirect
189. #553×C73C22semidirect
190. #501×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #474×C73C22semidirect
198. #466×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
557. D584#41semidirect
878. #3347D73semidirect
903. C73#61454semidirect
909. #555C2×D73semidirect
916. #553C2×D73semidirect
953. #501C2×D73semidirect
971. #482C2×D73semidirect
972. #482C2×D73semidirect
973. #482C2×D73semidirect
975. #480C2×D73semidirect
983. #478C2×D73semidirect
987. #474C2×D73semidirect
995. #466C2×D73semidirect
1036. #442C2×D73semidirect
1057. #435C2×D73semidirect
1063. #428C2×D73semidirect
1064. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226234882
#226230022
#226228862
#226227612
#226226912
#226223872
#226223112
#226220812
#226220152
#226219552
#226219012
#226217842
#226217692
#226216192
#226214612
#226214182
#226206552
#226206422
#226206242
#226200772
#226200742
#226200662
#226200352
#226200322
#226189412
#226187382
#226187312
#442×D732
C73×#33472
#6145473