Finite Group Databasebeta

← #33978950

Subgroups — #33978950

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623894C211yesmaximal, characteristic, complemented
2#22623487C211yesmaximal, characteristic, complemented
3#22623009C211yesmaximal, characteristic, complemented
4#22623000C211yesmaximal, characteristic, complemented
5#22622761C211yesmaximal, characteristic, complemented
6#22622687C211yesmaximal, characteristic, complemented
7#22622123C211yesmaximal, characteristic, complemented
8#22622093C211yesmaximal, characteristic, complemented
9#22621979C211yesmaximal, characteristic, complemented
10#22621949C211yesmaximal, characteristic, complemented
11#22621813C211yesmaximal, characteristic, complemented
12#22621761C211yesmaximal, characteristic, complemented
13#22621645C211yesmaximal, characteristic, complemented
14#22621619C211yesmaximal, characteristic, complemented
15#22621483C211yesmaximal, characteristic, complemented
16#22621453C211yesmaximal, characteristic, complemented
17#22621436C211yesmaximal, characteristic, complemented
18#22621417C211yesmaximal, characteristic, complemented
19#22621331C211yesmaximal, characteristic, complemented
20#22621267C211yesmaximal, characteristic, complemented
21#22620964C211yesmaximal, characteristic, complemented
22#22620932C211yesmaximal, characteristic, complemented
23#22620894C211yesmaximal, characteristic, complemented
24#22620074C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22619956C211yesmaximal, characteristic, complemented
27#22619422C211yesmaximal, characteristic, complemented
28#22619388C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619053C211yesmaximal, characteristic, complemented
31C73×#3250C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic
34C2×#14556613C2211yescharacteristic, complemented
35C2×#14556613C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989307C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989302—21no—
42#17989301C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989282—21no—
45#17989275C2211yescharacteristic
46#17989273—21no—
47#17989271C2211yescharacteristic, complemented
48#17989265—21no—
49#17989262—21no—
50#17989262—21no—
51#17989262—21no—
52Q8×D292C2211yescharacteristic
53#17989247C2211yescharacteristic
54#17989247C2211yescharacteristic, complemented
55#17989239C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic
57#17989234C2211yescharacteristic, complemented
58#17989234C2211yescharacteristic, complemented
59#17989233—21no—
60#17989230C2211yescharacteristic
61D4×D292C2211yescharacteristic
62#17989208—21no—
63#17989173—21no—
64#17989173—21no—
65#17989141C2211yescharacteristic, complemented
66#17989137C2211yescharacteristic, complemented
67#17989122C2211yescharacteristic
68#17989122C2211yescharacteristic, complemented
69#17989119—21no—
70#17989119C2211yescharacteristic, complemented
71#17989115—21no—
72#124×D73C2211yescharacteristic
73#124×D73C2211yescharacteristic, complemented
74#17989096—21no—
75#17989061—21no—
76C4×#11924029C2211yescharacteristic, complemented
77C4×#11924028C2211yescharacteristic
78C4×#11924028C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic, complemented
80#117×D73—21no—
81#17988982C2211yescharacteristic, complemented
82#17988980C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988977C2211yescharacteristic
85#17988970C2211yescharacteristic
86#17988968C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988953C2211yescharacteristic, complemented
89#17988948C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988943C2211yescharacteristic, complemented
92#17988940C2211yescharacteristic, complemented
93#17988930C2211yescharacteristic, complemented
94#17988925C2211yescharacteristic, complemented
95#17988919C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988834C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic
112#17988817C2211yescharacteristic
113#17988811C2211yescharacteristic, complemented
114#17988810C2211yescharacteristic, complemented
115#17988810C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic, complemented
125#17988803C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic
129#17988801C2211yescharacteristic
130#17988801C2211yescharacteristic, complemented
131#17988800C2211yescharacteristic
132#17988799C2211yescharacteristic
133#17988798C2211yescharacteristic, complemented
134#17988796C2211yescharacteristic, complemented
135#17988793C2211yescharacteristic, complemented
136#17988791C2211yescharacteristic, complemented
137#17988788C2211yescharacteristic, complemented
138#17988783C2211yescharacteristic
139#17988752C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988747C2211yescharacteristic, complemented
142#17988747C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988744C2211yescharacteristic, complemented
145#17988741C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic
147#17988739C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic
150#17988735C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988730C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic, complemented
154#17988724C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic
156#17988719C2211yescharacteristic
157#17988716C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988698C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic
161#17988696C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988679C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988669C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic
174#17988657C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988643C2211yescharacteristic, complemented
179#17988639C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988584C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic, complemented
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#464×C73C2211yescharacteristic, complemented
199#464×C73C2211yescharacteristic, complemented
200#463×C73C2211yescharacteristic
201#463×C73C2211yescharacteristic
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556623—42no—
216#14556618—42no—
217#14556613—42no—
218#14556613—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234SD16×D73—42no—
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240D8×D73—42no—
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591—21no—
246#14556591C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556589C2311yescharacteristic
249#14556588C2311yescharacteristic
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556582—21no—
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556579C2311yescharacteristic
267#14556579C2311yescharacteristic
268#14556578—21no—
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556571—21no—
293#14556571—21no—
294#14556571—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556570—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556568—21no—
306#14556567C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556562—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324#14556559—21no—
325#14556559—21no—
326#14556559—21no—
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146D411yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335C4×D292—21no—
336C4×D292—21no—
337C4×D292—21no—
338C4×D292—21no—
339C4×D292—21no—
340C4×D292D411yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73D411yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556550—21no—
364#14556550—21no—
365#14556550D411yescharacteristic
366#14556550C2311yescharacteristic
367#14556549—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549—21no—
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556548D411yescharacteristic
376#14556548D411yescharacteristic
377#14556547—21no—
378#14556547—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73C2311yescharacteristic
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C42×D73—21no—
392C42×D73—21no—
393C42×D73C2311yescharacteristic
394C42×D73C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447#126×C73—21no—
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#125×C73C2311yescharacteristic
451#124×C73C2311yescharacteristic
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73—21no—
466#117×C73—21no—
467C2×C42×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—22no—
488#11924029—41no—
489#11924028—22no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924028—41no—
494#11924028—41no—
495#11924028—42no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—41no—
504Q8×D73—41no—
505Q8×D73—41no—
506Q8×D73—41no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—44no—
513C2×D292C2×D411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—22no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—41no—
531D4×D73—41no—
532C22×Dic73—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—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—44no—
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553Dic292—41no—
554Dic292—41no—
555#11924018—41no—
556#11924018—41no—
557#11924018—41no—
558#11924017—22no—
559#11924017—22no—
560#11924017—41no—
561#11924017—41no—
562#11924016—41no—
563#11924016—41no—
564#11924016—41no—
565#11924015—22no—
566#11924015—41no—
567#11924015—41no—
568D584—22no—
569D584—22no—
570#11924013—22no—
571#11924013—41no—
572#11924013—41no—
573#11924011—41no—
574#11924011—41no—
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C8×D73—41no—
580C8×D73—41no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73C2×D411yescharacteristic
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668Q16×C73—41no—
669SD16×C73—41no—
670SD16×C73—41no—
671D8×C73—41no—
672C2×C8×C73—41no—
673C2×C8×C73—41no—
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—81no—
732D4×C73—81no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—41no—
742C2×C4×C73—41no—
743C2×C4×C73—42no—
744C2×C4×C73—42no—
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—22no—
752C22⋊D73—41no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—42no—
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772D292—22no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—42no—
779D292—42no—
780D292—42no—
781D292—42no—
782D292—81no—
783D292H(5,𝔽2)12yes—
784C4×D73—22no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—41no—
790C4×D73—41no—
791C4×D73—41no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—81no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—22no—
838C2×D73—21no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—84no—
848C2×D73—162no—
849C2×D73—162no—
850C2×D73#57512yes—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73C2×H(5,𝔽2)11yescharacteristic
863C4×C73#58511yescharacteristic
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—41no—
877C2×C73—81no—
878C2×C73—81no—
879C2×C73#348811yescharacteristic
880C2×C73C2×#57511yescharacteristic
881C2×C73#358411yescharacteristic
882D73—22no—
883D73—41no—
884D73—42no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250D7311yescharacteristic, complemented
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—1461no—
958#529—1461no—
959#529C2×D7311yescharacteristic, complemented
960#529C2×D7311yescharacteristic, complemented
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479C2×D7311yescharacteristic, complemented
991#479C2×D7311yescharacteristic, complemented
992#478—731no—
993#478—731no—
994#478C2×D7311yescharacteristic, complemented
995#478C2×D7311yescharacteristic, complemented
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467C2×D7311yescharacteristic, complemented
1005#466C2×D7311yescharacteristic
1006#465—731no—
1007#465—731no—
1008#465C2×D7311yescharacteristic, complemented
1009#465C2×D7311yescharacteristic, complemented
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464C2×D7311yescharacteristic, complemented
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463C2×D7311yescharacteristic
1033#463C2×D7311yescharacteristic
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8C2×D7311yescharacteristic, complemented
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8C22×D7311yescharacteristic
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127—731no—
1143#126—21no—
1144#126—21no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—1461no—
1156#125—1461no—
1157#125—1461no—
1158#125C22×D7311yescharacteristic
1159#125C22×D7311yescharacteristic
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—21no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8C22×D7311yescharacteristic
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—21no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—731no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—1461no—
1307C2×C42—1461no—
1308C2×C42C22×D7311yescharacteristic
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106C22×D7311yescharacteristic
1316#106C22×D7311yescharacteristic
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8C22×D7311yescharacteristic
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—1461no—
1372C24—1461no—
1373C24—1461no—
1374#41—2921no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2922no—
1380#41—2921no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—2924no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1462no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—2924no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4D4×D7311yescharacteristic
1449C22×C4D4×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—41no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—41no—
1458SD16—41no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—41no—
1470D8—2921no—
1471D8—2921no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—731no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C42—21no—
1575C42—21no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42D4×D7311yescharacteristic
1590C42D4×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—2922no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—5841no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—731no—
1605C23—731no—
1606C23—1461no—
1607C23—1461no—
1608C23—1461no—
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—2921no—
1615Q8—5841no—
1616Q8—5841no—
1617Q8—5841no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—81no—
1629D4—81no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2921no—
1636D4—2922no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—732no—
1644D4—1462no—
1645D4—1462no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2921no—
1666C2×C4—2921no—
1667C2×C4—2921no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—1462no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4—1461no—
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—5844no—
1728C22—732no—
1729C22—11682no—
1730C22—11682no—
1731C22—1462no—
1732C22—1461no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4H(5,𝔽2)×D7311yescharacteristic
1761C4#1798942411yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—2922no—
1766C2—2921no—
1767C2—5841no—
1768C2—5841no—
1769C2—1462no—
1770C2#2262359511yescharacteristic
1771C2#575×D7311yescharacteristic
1772C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3250C2
socleC22×C73C23×D4
hypercenter#3250D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3250

Complements

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

NH ≅ G/Ntype
1. #22623894C2semidirect
2. #22623487C2semidirect
3. #22623009C2semidirect
4. #22623000C2semidirect
5. #22622761C2semidirect
6. #22622687C2semidirect
7. #22622123C2semidirect
8. #22622093C2semidirect
9. #22621979C2semidirect
10. #22621949C2semidirect
11. #22621813C2semidirect
12. #22621761C2semidirect
13. #22621645C2semidirect
14. #22621619C2semidirect
15. #22621483C2semidirect
16. #22621453C2semidirect
17. #22621436C2semidirect
18. #22621417C2semidirect
19. #22621331C2semidirect
20. #22621267C2semidirect
21. #22620964C2semidirect
22. #22620932C2semidirect
23. #22620894C2semidirect
24. #22620074C2semidirect
25. #22620034C2semidirect
26. #22619956C2semidirect
27. #22619422C2semidirect
28. #22619388C2semidirect
29. #463×D73C2semidirect
30. #22619053C2semidirect
31. C73×#3250C2semidirect
32. C2×#14556623C22semidirect
34. C2×#14556613C22semidirect
35. C2×#14556613C22semidirect
36. C2×SD16×D73C22semidirect
38. #17989322C22semidirect
39. #17989307C22semidirect
40. #17989306C22semidirect
42. #17989301C22semidirect
43. #17989293C22semidirect
47. #17989271C22semidirect
54. #17989247C22semidirect
55. #17989239C22semidirect
57. #17989234C22semidirect
58. #17989234C22semidirect
65. #17989141C22semidirect
66. #17989137C22semidirect
68. #17989122C22semidirect
70. #17989119C22semidirect
73. #124×D73C22semidirect
76. C4×#11924029C22semidirect
78. C4×#11924028C22semidirect
79. C4×D4×D73C22semidirect
81. #17988982C22semidirect
82. #17988980C22semidirect
83. #17988978C22semidirect
86. #17988968C22semidirect
87. #17988957C22semidirect
88. #17988953C22semidirect
89. #17988948C22semidirect
90. #17988945C22semidirect
91. #17988943C22semidirect
92. #17988940C22semidirect
93. #17988930C22semidirect
94. #17988925C22semidirect
95. #17988919C22semidirect
96. #17988913C22semidirect
97. #17988908C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
101. #17988886C22semidirect
102. #17988884C22semidirect
103. #17988871C22semidirect
104. #17988866C22semidirect
105. #17988846C22semidirect
107. #17988834C22semidirect
108. #17988832C22semidirect
109. #17988829C22semidirect
110. #17988827C22semidirect
113. #17988811C22semidirect
114. #17988810C22semidirect
115. #17988810C22semidirect
116. #17988809C22semidirect
117. #17988809C22semidirect
118. #17988808C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
124. #17988803C22semidirect
125. #17988803C22semidirect
126. #17988802C22semidirect
127. #17988802C22semidirect
130. #17988801C22semidirect
133. #17988798C22semidirect
134. #17988796C22semidirect
135. #17988793C22semidirect
136. #17988791C22semidirect
137. #17988788C22semidirect
139. #17988752C22semidirect
140. #17988747C22semidirect
141. #17988747C22semidirect
142. #17988747C22semidirect
143. #17988744C22semidirect
144. #17988744C22semidirect
145. #17988741C22semidirect
147. #17988739C22semidirect
148. #17988739C22semidirect
152. #17988730C22semidirect
153. #17988730C22semidirect
154. #17988724C22semidirect
157. #17988716C22semidirect
158. #17988716C22semidirect
159. #17988698C22semidirect
161. #17988696C22semidirect
162. #17988692C22semidirect
163. #17988687C22semidirect
164. #17988686C22semidirect
165. #17988685C22semidirect
166. #17988684C22semidirect
167. #17988679C22semidirect
168. #17988674C22semidirect
169. #17988672C22semidirect
170. #17988669C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988643C22semidirect
179. #17988639C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
183. #17988590C22semidirect
184. #17988584C22semidirect
185. #17988584C22semidirect
186. #103×D73C22semidirect
188. #529×C73C22semidirect
189. #529×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #467×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #464×C73C22semidirect
199. #464×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
906. #3250D73semidirect
918. C73#61990semidirect
959. #529C2×D73semidirect
960. #529C2×D73semidirect
990. #479C2×D73semidirect
991. #479C2×D73semidirect
994. #478C2×D73semidirect
995. #478C2×D73semidirect
1004. #467C2×D73semidirect
1008. #465C2×D73semidirect
1009. #465C2×D73semidirect
1018. #464C2×D73semidirect
1019. #464C2×D73semidirect
1083. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238942
#226234872
#226230092
#226230002
#226227612
#226226872
#226221232
#226220932
#226219792
#226219492
#226218132
#226217612
#226216452
#226216192
#226214832
#226214532
#226214362
#226214172
#226213312
#226212672
#226209642
#226209322
#226208942
#226200742
#226200342
#226199562
#226194222
#226193882
#463×D732
#226190532
C73×#32502
#6199073