Finite Group Databasebeta

← #30573275

Subgroups — #30573275

Order 15616.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460143C211yesmaximal, characteristic, complemented
2#21459766C211yesmaximal, characteristic, complemented
3#21458908C211yesmaximal, characteristic, complemented
4#21458864C211yesmaximal, characteristic, complemented
5#21458575C211yesmaximal, characteristic, complemented
6#21458523C211yesmaximal, characteristic, complemented
7#21457954C211yesmaximal, characteristic, complemented
8#21457843C211yesmaximal, characteristic, complemented
9#21457781C211yesmaximal, characteristic, complemented
10#21457655C211yesmaximal, characteristic, complemented
11#21457630C211yesmaximal, characteristic, complemented
12#21457502C211yesmaximal, characteristic, complemented
13#21457493C211yesmaximal, characteristic, complemented
14#21457360C211yesmaximal, characteristic, complemented
15#21457306C211yesmaximal, characteristic, complemented
16#21457304C211yesmaximal, characteristic, complemented
17#21457302C211yesmaximal, characteristic, complemented
18#21457255C211yesmaximal, characteristic, complemented
19#21457223C211yesmaximal, characteristic, complemented
20#21457173C211yesmaximal, characteristic, complemented
21#21456911C211yesmaximal, characteristic, complemented
22#21456867C211yesmaximal, characteristic, complemented
23#21456838C211yesmaximal, characteristic, complemented
24#21456058C211yesmaximal, characteristic, complemented
25#21456021C211yesmaximal, characteristic, complemented
26#21455961C211yesmaximal, characteristic, complemented
27#21455357C211yesmaximal, characteristic, complemented
28#21455325C211yesmaximal, characteristic, complemented
29#459×D61C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3309C211yesmaximal, characteristic, complemented
32C2×#14519805C2211yescharacteristic, complemented
33C2×#14519802C2211yescharacteristic, complemented
34C2×#14519797C2211yescharacteristic, complemented
35C22×D488C2211yescharacteristic, complemented
36C2×D8×D61C2211yescharacteristic, complemented
37C2×D8×D61C2211yescharacteristic, complemented
38#16840500—21no—
39#16840500—21no—
40#16840497C2211yescharacteristic, complemented
41#16840495C2211yescharacteristic, complemented
42#16840468C2211yescharacteristic, complemented
43#16840462—21no—
44#16840451C2211yescharacteristic, complemented
45#16840440—21no—
46#16840437—21no—
47#16840432C2211yescharacteristic, complemented
48#16840413C2211yescharacteristic, complemented
49#16840409—21no—
50#16840409C2211yescharacteristic, complemented
51#16840408C2211yescharacteristic, complemented
52#16840407—21no—
53#16840400C2211yescharacteristic
54#16840400C2211yescharacteristic, complemented
55D4×D244C2211yescharacteristic, complemented
56#16840397—21no—
57#16840396C2211yescharacteristic
58#16840396C2211yescharacteristic, complemented
59#16840396C2211yescharacteristic, complemented
60#16840379C2211yescharacteristic, complemented
61#16840365C2211yescharacteristic, complemented
62#16840365C2211yescharacteristic, complemented
63#16840365C2211yescharacteristic, complemented
64#16840363—21no—
65#16840353—21no—
66#16840344—21no—
67#16840326C2211yescharacteristic, complemented
68#16840326C2211yescharacteristic, complemented
69#16840325—21no—
70#16840320—21no—
71#16840320—21no—
72#127×D61C2211yescharacteristic, complemented
73#16840299C2211yescharacteristic, complemented
74#16840297C2211yescharacteristic, complemented
75#16840294C2211yescharacteristic
76#16840271—21no—
77#123×D61—21no—
78#16840243C2211yescharacteristic, complemented
79#16840236C2211yescharacteristic, complemented
80C4×D4×D61C2211yescharacteristic, complemented
81#16840151C2211yescharacteristic, complemented
82#16840150C2211yescharacteristic, complemented
83#16840149C2211yescharacteristic, complemented
84#16840148C2211yescharacteristic, complemented
85#16840143C2211yescharacteristic, complemented
86#16840137C2211yescharacteristic, complemented
87#16840128C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic, complemented
89#16840123C2211yescharacteristic, complemented
90#16840118C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic, complemented
94#16840080C2211yescharacteristic, complemented
95#16840077C2211yescharacteristic, complemented
96#16840068C2211yescharacteristic, complemented
97#16840065C2211yescharacteristic, complemented
98#16840064C2211yescharacteristic, complemented
99#16840064C2211yescharacteristic, complemented
100#16840061C2211yescharacteristic, complemented
101#16840061C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840050C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840015C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic, complemented
107#16840006C2211yescharacteristic, complemented
108#16840002C2211yescharacteristic, complemented
109#16839999C2211yescharacteristic
110#16839996C2211yescharacteristic, complemented
111#16839996C2211yescharacteristic, complemented
112#16839994C2211yescharacteristic, complemented
113#16839992C2211yescharacteristic, complemented
114#16839991C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic, complemented
118#16839980C2211yescharacteristic, complemented
119#16839980C2211yescharacteristic, complemented
120#16839980C2211yescharacteristic, complemented
121#16839980C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic, complemented
123#16839979C2211yescharacteristic, complemented
124#16839978C2211yescharacteristic, complemented
125#16839976C2211yescharacteristic, complemented
126#16839975C2211yescharacteristic, complemented
127#16839961C2211yescharacteristic, complemented
128#16839961C2211yescharacteristic, complemented
129#16839961C2211yescharacteristic, complemented
130#16839958C2211yescharacteristic
131#16839957C2211yescharacteristic, complemented
132#16839956C2211yescharacteristic, complemented
133#16839956C2211yescharacteristic, complemented
134#16839956C2211yescharacteristic, complemented
135#16839956C2211yescharacteristic, complemented
136#16839956C2211yescharacteristic, complemented
137#16839956C2211yescharacteristic, complemented
138#16839956C2211yescharacteristic, complemented
139#16839956C2211yescharacteristic, complemented
140#16839955C2211yescharacteristic, complemented
141#16839955C2211yescharacteristic, complemented
142#16839955C2211yescharacteristic, complemented
143#16839954C2211yescharacteristic, complemented
144#16839924C2211yescharacteristic, complemented
145#16839915C2211yescharacteristic, complemented
146#16839914C2211yescharacteristic, complemented
147#16839914C2211yescharacteristic, complemented
148#16839911C2211yescharacteristic, complemented
149#16839909C2211yescharacteristic, complemented
150#16839907C2211yescharacteristic, complemented
151#16839905C2211yescharacteristic, complemented
152#16839898C2211yescharacteristic, complemented
153#16839898C2211yescharacteristic, complemented
154#16839897C2211yescharacteristic
155#16839897C2211yescharacteristic, complemented
156#16839897C2211yescharacteristic, complemented
157#16839895C2211yescharacteristic, complemented
158#16839895C2211yescharacteristic, complemented
159#16839895C2211yescharacteristic, complemented
160#16839891C2211yescharacteristic, complemented
161#16839890C2211yescharacteristic, complemented
162#16839875C2211yescharacteristic, complemented
163#16839873C2211yescharacteristic, complemented
164#16839872C2211yescharacteristic, complemented
165#16839871C2211yescharacteristic, complemented
166#16839871C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839860C2211yescharacteristic, complemented
169#16839853C2211yescharacteristic, complemented
170#16839844C2211yescharacteristic, complemented
171#16839844C2211yescharacteristic, complemented
172#16839842C2211yescharacteristic, complemented
173#16839836C2211yescharacteristic, complemented
174#16839834C2211yescharacteristic, complemented
175#16839831C2211yescharacteristic, complemented
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic, complemented
178#16839820C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839817C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839788C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839766C2211yescharacteristic, complemented
185C2×#14519697C2211yescharacteristic, complemented
186#102×D61C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C2×D4×D61—21no—
210C2×D4×D61—21no—
211C2×D4×D61—21no—
212C2×D4×D61—21no—
213C2×D4×D61—21no—
214C2×D4×D61—21no—
215C2×D4×D61C2311yescharacteristic
216C2×D4×D61C2311yescharacteristic
217C2×D4×D61C2311yescharacteristic
218C22×C4×D61—21no—
219#14519805—42no—
220#14519802—42no—
221#14519797—42no—
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×D488—42no—
231C2×D488C2311yescharacteristic
232C2×D488C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758199C2311yescharacteristic
243C2×#11758199C2311yescharacteristic
244D8×D61—42no—
245D8×D61—42no—
246C2×#11758194C2311yescharacteristic
247C22×#92418C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250#14519776C2311yescharacteristic
251#14519774C2311yescharacteristic
252#14519773—21no—
253#14519773—21no—
254#14519773C2311yescharacteristic
255#14519773C2311yescharacteristic
256#14519773C2311yescharacteristic
257#14519773C2311yescharacteristic
258#14519773C2311yescharacteristic
259#14519772—21no—
260#14519772—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770D411yescharacteristic
264#14519770D411yescharacteristic
265#14519769—21no—
266#14519768D411yescharacteristic
267#14519768C2311yescharacteristic
268#14519768C2311yescharacteristic
269#14519766C2311yescharacteristic
270#14519766C2311yescharacteristic
271#14519766C2311yescharacteristic
272#14519765—21no—
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519764D411yescharacteristic
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519761—21no—
285#14519761—21no—
286#14519761—21no—
287#14519760—21no—
288#14519760—21no—
289#14519760—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759D411yescharacteristic
298#14519759D411yescharacteristic
299#14519758—21no—
300#14519757—21no—
301#14519757D411yescharacteristic
302#14519757C2311yescharacteristic
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519753C2311yescharacteristic
309#14519752—21no—
310#14519752C2311yescharacteristic
311#14519752C2311yescharacteristic
312#14519751—21no—
313#14519751—21no—
314#14519751—21no—
315#14519751—21no—
316#14519751C2311yescharacteristic
317#14519751C2311yescharacteristic
318#14519751C2311yescharacteristic
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519748—21no—
331#14519748—21no—
332#14519748—21no—
333#14519748—21no—
334#14519748—21no—
335#14519748D411yescharacteristic
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519747—21no—
340#14519747—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345#14519745—21no—
346#14519745—21no—
347#14519745—21no—
348#14519745—21no—
349#14519745—21no—
350#14519745—21no—
351#14519745—21no—
352C4×Dic122C2311yescharacteristic
353#14519742C2311yescharacteristic
354#14519742C2311yescharacteristic
355C4×D244—21no—
356C4×D244—21no—
357C4×D244—21no—
358C4×D244—21no—
359C4×D244C2311yescharacteristic
360C4×D244C2311yescharacteristic
361D4×Dic61C2311yescharacteristic
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364#14519739—21no—
365#14519739C2311yescharacteristic
366#14519739C2311yescharacteristic
367#14519739C2311yescharacteristic
368#14519739C2311yescharacteristic
369#14519739C2311yescharacteristic
370#14519739C2311yescharacteristic
371#14519739C2311yescharacteristic
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61C2311yescharacteristic
377C4×C22⋊D61C2311yescharacteristic
378#14519737—21no—
379#14519736C2311yescharacteristic
380#14519736C2311yescharacteristic
381#14519735—21no—
382#14519735—21no—
383#14519734—21no—
384#14519734—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61—21no—
387C4⋊C4×D61C2311yescharacteristic
388C2×#11758198—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C42×D61C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×#41×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448#127×C61—21no—
449#127×C61C2311yescharacteristic
450#126×C61—21no—
451#125×C61C2311yescharacteristic
452#123×C61—21no—
453#121×C61—21no—
454#121×C61—21no—
455#121×C61—21no—
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61—21no—
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C4⋊C4×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C23×D61—21no—
488C23×D61—21no—
489C23×D61—21no—
490#41×C61—41no—
491#41×C61—41no—
492#41×C61—41no—
493#41×C61—41no—
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535#11758224—82no—
536D4×D61—22no—
537D4×D61—41no—
538D4×D61—41no—
539D4×D61—41no—
540D4×D61—41no—
541D4×D61—41no—
542D4×D61—82no—
543D4×D61—82no—
544D4×D61—82no—
545D4×D61—82no—
546D4×D61—82no—
547D4×D61—82no—
548#11758222—22no—
549#11758222—41no—
550#11758222—82no—
551C2×D244—22no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—41no—
560C2×D244—41no—
561C2×D244—41no—
562C2×D244—41no—
563C2×D244—41no—
564C2×D244C2411yescharacteristic
565C2×D244C2411yescharacteristic
566C2×D244C2411yescharacteristic
567C2×D244C2411yescharacteristic
568C2×D244C2411yescharacteristic
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—82no—
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2411yescharacteristic
584C2×Dic122—21no—
585C2×Dic122C2×D411yescharacteristic
586C2×Dic122C2411yescharacteristic
587SD16×C61—41no—
588D8×C61—41no—
589D8×C61—41no—
590M16×C61—41no—
591C2×C8×C61—41no—
592C2×C8×C61C2411yescharacteristic
593C2×C8×C61C2411yescharacteristic
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61C2×D411yescharacteristic
601C4⋊C4×C61C2411yescharacteristic
602C4⋊C4×C61C2411yescharacteristic
603C4⋊C4×C61C2411yescharacteristic
604C4⋊C4×C61C2411yescharacteristic
605C22⋊C4×C61—21no—
606C22⋊C4×C61—21no—
607C22⋊C4×C61—21no—
608C22⋊C4×C61—21no—
609C22⋊C4×C61—21no—
610C22⋊C4×C61—21no—
611C22⋊C4×C61C2×D411yescharacteristic
612C22⋊C4×C61C2×D411yescharacteristic
613C42×C61—21no—
614C42×C61—21no—
615C42×C61C2411yescharacteristic
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61C2×D411yescharacteristic
623C22⋊Dic61C2×D411yescharacteristic
624C22⋊Dic61C2×D411yescharacteristic
625C22⋊Dic61C2×D411yescharacteristic
626C22⋊Dic61C2×D411yescharacteristic
627C22⋊Dic61C2×D411yescharacteristic
628#11758202—41no—
629#11758201—22no—
630#11758201—41no—
631#11758200—41no—
632#11758200—41no—
633#11758199—22no—
634#11758199—22no—
635#11758199—41no—
636#11758199—41no—
637#11758199—41no—
638#11758199—41no—
639#11758199—41no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61C2×D411yescharacteristic
670C4⋊Dic61C2×D411yescharacteristic
671C4⋊Dic61C2×D411yescharacteristic
672C4⋊Dic61C2×D411yescharacteristic
673C4⋊Dic61C2×D411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196C2×D411yescharacteristic
685#11758196C2×D411yescharacteristic
686#11758196C2×D411yescharacteristic
687#11758196C2×D411yescharacteristic
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C4×Dic61C2411yescharacteristic
695#11758194—41no—
696C2×#92418—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701D488—22no—
702D488—22no—
703D488—22no—
704D488—41no—
705D488—41no—
706D488—41no—
707#11758190—41no—
708#11758190—41no—
709#11758190—41no—
710C8×D61—41no—
711C8×D61—41no—
712C23×C61—21no—
713C23×C61—21no—
714C23×C61—21no—
715C23×C61C22×D411yescharacteristic
716C23×C61C22×D411yescharacteristic
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—42no—
723C22×D61—42no—
724C22×D61—42no—
725C22×D61—42no—
726C22×D61—42no—
727C22×D61—81no—
728C22×D61—81no—
729C22×D61—81no—
730C22×D61—81no—
731C22×D61—81no—
732C22×D61—81no—
733C22×D61—81no—
734C22×D61—81no—
735C22×D61—81no—
736C22×D61—81no—
737C22×D61—81no—
738C22×D61—81no—
739C22×D61—81no—
740C22×D61C22×D411yescharacteristic
741Q8×C61—21no—
742Q8×C61—21no—
743D4×C61—21no—
744D4×C61—21no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—41no—
750D4×C61—42no—
751D4×C61—81no—
752D4×C61—81no—
753D4×C61—81no—
754D4×C61—81no—
755D4×C61—81no—
756D4×C61—81no—
757D4×C61—81no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—81no—
768C2×C4×C61—81no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C2511yescharacteristic
776C22⋊D61—22no—
777C22⋊D61—22no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—81no—
781C22⋊D61—81no—
782C22⋊D61—81no—
783C22⋊D61—81no—
784C22⋊D61—81no—
785C22⋊D61—81no—
786C22⋊D61—81no—
787C22⋊D61—81no—
788C22⋊D61—81no—
789C22⋊D61—81no—
790C22⋊D61—81no—
791C22⋊D61—81no—
792C22⋊D61—81no—
793C22⋊D61—81no—
794C22⋊D61—81no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—81no—
799C2×Dic61—81no—
800C2×Dic61—81no—
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803C2×Dic61C22×D411yescharacteristic
804C2×Dic61C22×D411yescharacteristic
805C2×Dic61C22×D411yescharacteristic
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808D244—21no—
809D244—21no—
810D244—21no—
811D244—21no—
812D244—21no—
813D244—21no—
814D244—21no—
815D244—21no—
816D244—21no—
817D244—42no—
818D244—42no—
819D244—42no—
820D244—42no—
821D244—81no—
822D244—81no—
823D244—81no—
824D244H(5,𝔽2)12yes—
825C4×D61—22no—
826C4×D61—21no—
827C4×D61—21no—
828C4×D61—41no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—81no—
833C4×D61—81no—
834C4×D61—81no—
835C4×D61—81no—
836C4×D61—81no—
837C4×D61—81no—
838C4×D61—81no—
839C4×D61—81no—
840Dic122—21no—
841Dic122—21no—
842Dic122—41no—
843Dic122—81no—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#62007—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—21no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61C23×D411yescharacteristic
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—22no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—41no—
885C2×D61—41no—
886C2×D61—84no—
887C2×D61—162no—
888C2×D61—162no—
889C2×D61—162no—
890C2×D61—162no—
891C2×D61—162no—
892C2×D61#57612yes—
893C4×C61—21no—
894C4×C61—21no—
895C4×C61—21no—
896C4×C61—21no—
897C4×C61—41no—
898C4×C61—41no—
899C4×C61—41no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61C2×H(5,𝔽2)11yescharacteristic
903C4×C61#58511yescharacteristic
904Dic61—21no—
905Dic61—21no—
906Dic61—21no—
907Dic61—21no—
908Dic61—21no—
909Dic61—21no—
910Dic61—21no—
911Dic61—41no—
912Dic61—41no—
913Dic61—41no—
914#3543—611no—
915#3513—611no—
916#3403—611no—
917#3399—611no—
918#3370—611no—
919#3366—611no—
920#3318—611no—
921#3310—611no—
922#3309D6111yescharacteristic, complemented
923#3306—611no—
924#3296—611no—
925#3294—611no—
926#3280—611no—
927D4×D8—611no—
928#3268—611no—
929#3264—611no—
930#3264—611no—
931#3264—611no—
932#3259—611no—
933#3257—611no—
934#3250—611no—
935#3224—611no—
936#3220—611no—
937#3217—611no—
938#3122—611no—
939#3119—611no—
940#3114—611no—
941#3045—611no—
942#3041—611no—
943C2×#459—611no—
944#2992—611no—
945C2×C61—41no—
946C2×C61—41no—
947C2×C61—81no—
948C2×C61—81no—
949C2×C61—81no—
950C2×C61#348811yescharacteristic
951C2×C61C2×#57611yescharacteristic
952C2×C61#358511yescharacteristic
953D61—22no—
954D61—42no—
955D61—81no—
956D61—81no—
957D61—81no—
958D61—81no—
959C2×AGL(1,ℤ/8)—611no—
960C2×AGL(1,ℤ/8)—611no—
961C2×#135—611no—
962C22×D8—611no—
963C22×D8—611no—
964C22×D8—611no—
965#560—1221no—
966#560—1221no—
967#559—611no—
968#559—611no—
969#554—611no—
970#553—1221no—
971#553C2×D6111yescharacteristic, complemented
972#552—611no—
973#551—1221no—
974#551—1221no—
975#550—611no—
976#550C2×D6111yescharacteristic, complemented
977#547—611no—
978#546—611no—
979#546—611no—
980#546—611no—
981#546—611no—
982#546—1221no—
983#546—1221no—
984D42—611no—
985D42—611no—
986D42—611no—
987D42—611no—
988D42—1221no—
989#542—611no—
990#540—611no—
991#540—611no—
992#540—611no—
993#540—1221no—
994#539—1221no—
995#538—1221no—
996#535—611no—
997#535—611no—
998#535—1221no—
999#534—1221no—
1000#534—1221no—
1001C2×#127—611no—
1002#529—611no—
1003#529—611no—
1004#529—611no—
1005#525—1221no—
1006C2×#123—1221no—
1007#520—611no—
1008#518—611no—
1009C2×C4×D4—611no—
1010#496—611no—
1011#496—611no—
1012#496—611no—
1013#496—611no—
1014#495—611no—
1015#493—611no—
1016#490—611no—
1017#490—611no—
1018#490C2×D6111yescharacteristic, complemented
1019#489—611no—
1020#488—611no—
1021#486—611no—
1022#483—611no—
1023#482—611no—
1024#482C2×D6111yescharacteristic, complemented
1025#481—611no—
1026#480—611no—
1027#480C2×D6111yescharacteristic, complemented
1028#479—611no—
1029#479C2×D6111yescharacteristic, complemented
1030#478—611no—
1031#478—611no—
1032#478—611no—
1033#478—611no—
1034#478—611no—
1035#478—611no—
1036#476—611no—
1037#474—611no—
1038#469—611no—
1039#469—611no—
1040#469C2×D6111yescharacteristic, complemented
1041#468—611no—
1042#467—611no—
1043#466—611no—
1044#466—611no—
1045#466—611no—
1046#466C2×D6111yescharacteristic, complemented
1047#465—611no—
1048#465—611no—
1049#465—611no—
1050#464—611no—
1051#464—611no—
1052#464—611no—
1053#463—611no—
1054#463—611no—
1055#463—611no—
1056#463—611no—
1057#463—611no—
1058#463—611no—
1059#463—611no—
1060#463—611no—
1061#463—611no—
1062#460—611no—
1063#460—611no—
1064#460—611no—
1065#459—611no—
1066#459—611no—
1067#459—611no—
1068#459—611no—
1069#459—611no—
1070#459—611no—
1071#459—611no—
1072#459—611no—
1073#459—611no—
1074#459—611no—
1075#459—611no—
1076#459—611no—
1077#459—611no—
1078#459—611no—
1079#459C2×D6111yescharacteristic, complemented
1080#452—611no—
1081#450—611no—
1082#450—611no—
1083#450—611no—
1084#450—611no—
1085#449—611no—
1086#449—611no—
1087#449—611no—
1088#449C2×D6111yescharacteristic, complemented
1089#449C2×D6111yescharacteristic, complemented
1090#447—611no—
1091#447—611no—
1092#447—611no—
1093#447—611no—
1094#447—611no—
1095#447—611no—
1096#447—611no—
1097#447—611no—
1098#446—611no—
1099#446—611no—
1100#442—611no—
1101#442—611no—
1102#442—611no—
1103#442—611no—
1104#442—611no—
1105#440—611no—
1106#440—611no—
1107#440C2×D6111yescharacteristic, complemented
1108C4×SD16—611no—
1109C4×D8—611no—
1110C4×D8—611no—
1111C4×D8—611no—
1112#435—611no—
1113#435—611no—
1114#435—611no—
1115#435C2×D6111yescharacteristic, complemented
1116C8×D4—611no—
1117C8×D4—611no—
1118#433—611no—
1119#433—611no—
1120#432—611no—
1121#424—611no—
1122#424—611no—
1123C2×C4⋊C8—611no—
1124#418—611no—
1125#417C2×D6111yescharacteristic, complemented
1126#416C2×D6111yescharacteristic, complemented
1127C2×#102—611no—
1128C2×#102—611no—
1129C2×#102—611no—
1130C61#6200711yescharacteristic, complemented, Sylow
1131C2×#41—611no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41C22×D6111yescharacteristic
1135C2×#41C22×D6111yescharacteristic
1136C22×D4—611no—
1137C22×D4—611no—
1138C22×D4—611no—
1139C22×D4—611no—
1140C22×D4—611no—
1141C22×D4—611no—
1142C22×D4—1221no—
1143C22×D4—1221no—
1144C22×D4—1221no—
1145C22×D4—1221no—
1146C22×D4—1221no—
1147C22×D4—1221no—
1148C23×C4—1221no—
1149AGL(1,ℤ/8)—2442no—
1150AGL(1,ℤ/8)—2442no—
1151#135—2442no—
1152C2×Q16—611no—
1153C2×SD16—611no—
1154C2×SD16—611no—
1155C2×SD16—611no—
1156C2×SD16—611no—
1157C2×SD16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16C22×D6111yescharacteristic
1161C2×D8—611no—
1162C2×D8—611no—
1163C2×D8—611no—
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8—611no—
1167C2×D8—611no—
1168C2×D8—611no—
1169C2×D8—611no—
1170C2×D8—611no—
1171C2×D8—611no—
1172C2×D8—611no—
1173C2×D8—611no—
1174C2×D8—2442no—
1175C2×D8—2442no—
1176C2×D8—2442no—
1177C2×D8C22×D6111yescharacteristic
1178C2×D8C22×D6111yescharacteristic
1179C2×M16—611no—
1180C2×M16C22×D6111yescharacteristic
1181C22×C8—611no—
1182C22×C8—611no—
1183C22×C8—611no—
1184C22×C8C22×D6111yescharacteristic
1185C4⋊Q8—611no—
1186#127—21no—
1187#127—611no—
1188#127—611no—
1189#127—611no—
1190#127—611no—
1191#127—611no—
1192#127—611no—
1193#127—1221no—
1194#127—1221no—
1195#127C22×D6111yescharacteristic
1196#126—21no—
1197#126—611no—
1198#126—611no—
1199#126—1221no—
1200#126—1221no—
1201#126—1221no—
1202#126—1221no—
1203#125—611no—
1204#125—611no—
1205#125—611no—
1206#125—1221no—
1207#125C22×D6111yescharacteristic
1208#124—611no—
1209#124—611no—
1210#124—611no—
1211#124—611no—
1212#124—611no—
1213#124—611no—
1214#124—1221no—
1215#124—1221no—
1216#124—1221no—
1217#123—21no—
1218#123—611no—
1219#123—611no—
1220#123—1221no—
1221#123—1221no—
1222#123—1221no—
1223#123—1221no—
1224#123—1221no—
1225#123—1221no—
1226#123—1221no—
1227#123—1221no—
1228#123—1221no—
1229#123—1221no—
1230#123—1221no—
1231#123—1221no—
1232#123—1221no—
1233#123—1221no—
1234#123—1221no—
1235#123—1221no—
1236#123—1221no—
1237#123—1221no—
1238#123—1221no—
1239#123—1221no—
1240C22⋊Q8—611no—
1241C22⋊Q8—611no—
1242C22⋊Q8—611no—
1243C22⋊Q8—611no—
1244C22⋊Q8—1221no—
1245C22⋊Q8—1221no—
1246C22⋊Q8—1221no—
1247C22⋊Q8—1221no—
1248C22⋊Q8—1221no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—611no—
1253#121—611no—
1254#121—611no—
1255#121—611no—
1256#121—611no—
1257#121—611no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121—1221no—
1272#121—1221no—
1273#121—1221no—
1274#121—1221no—
1275#121—1221no—
1276#121—1221no—
1277#121—1221no—
1278#121—1221no—
1279#121C22×D6111yescharacteristic
1280#121C22×D6111yescharacteristic
1281#121C22×D6111yescharacteristic
1282#121C22×D6111yescharacteristic
1283#120—1221no—
1284#120—1221no—
1285#120—1221no—
1286#120—1221no—
1287#120—1221no—
1288#120—1221no—
1289#120—1221no—
1290#120—1221no—
1291#120—1221no—
1292#120—1221no—
1293#120—1221no—
1294#120—1221no—
1295#120—1221no—
1296#120—1221no—
1297#120—1221no—
1298#120—1221no—
1299C4×Q8—611no—
1300C4×Q8—611no—
1301C4×Q8—611no—
1302C4×Q8C22×D6111yescharacteristic
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—611no—
1306C4×D4—611no—
1307C4×D4—611no—
1308C4×D4—611no—
1309C4×D4—611no—
1310C4×D4—611no—
1311C4×D4—611no—
1312C4×D4—611no—
1313C4×D4—611no—
1314C4×D4—611no—
1315C4×D4—611no—
1316C4×D4—611no—
1317C4×D4—611no—
1318C4×D4—611no—
1319C4×D4—1221no—
1320C4×D4—1221no—
1321C4×D4—1221no—
1322C4×D4—1221no—
1323C4×D4—1221no—
1324C4×D4—1221no—
1325C4×D4—1221no—
1326C4×D4—1221no—
1327C4×D4—1221no—
1328C4×D4—1221no—
1329C4×D4C22×D6111yescharacteristic
1330C4×D4C22×D6111yescharacteristic
1331#117—611no—
1332#117—611no—
1333#117—1221no—
1334#117—1221no—
1335#117—1221no—
1336#117—1221no—
1337#117C22×D6111yescharacteristic
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—1221no—
1340C2×C4⋊C4—1221no—
1341C2×C4⋊C4C22×D6111yescharacteristic
1342C2×C22⋊C4—1221no—
1343C2×C22⋊C4—1221no—
1344C2×C22⋊C4—1221no—
1345C2×C22⋊C4—1221no—
1346C2×C22⋊C4—1221no—
1347C2×C22⋊C4—1221no—
1348C2×C22⋊C4—1221no—
1349C2×C42—611no—
1350#107—611no—
1351#107—611no—
1352#107C22×D6111yescharacteristic
1353#107C22×D6111yescharacteristic
1354#106—611no—
1355#106—611no—
1356#106—611no—
1357#106C22×D6111yescharacteristic
1358C4⋊C8—611no—
1359C4⋊C8—611no—
1360C4⋊C8—611no—
1361C4⋊C8—611no—
1362C4⋊C8—611no—
1363C4⋊C8—611no—
1364C4⋊C8—611no—
1365C4⋊C8—611no—
1366C4⋊C8—611no—
1367C4⋊C8C22×D6111yescharacteristic
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395#102C22×D6111yescharacteristic
1396#102C22×D6111yescharacteristic
1397#102C22×D6111yescharacteristic
1398#102C22×D6111yescharacteristic
1399#102C22×D6111yescharacteristic
1400C22⋊C8—611no—
1401C22⋊C8—611no—
1402C22⋊C8—611no—
1403C22⋊C8—611no—
1404C22⋊C8C22×D6111yescharacteristic
1405C22⋊C8C22×D6111yescharacteristic
1406#97—611no—
1407#97—611no—
1408#97—611no—
1409#97C22×D6111yescharacteristic
1410C4×C8—611no—
1411C4×C8—611no—
1412C24—1221no—
1413C24—1221no—
1414C24—1221no—
1415C24—1221no—
1416C24—1221no—
1417C24—1221no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—1222no—
1423#41—4882no—
1424#41—4882no—
1425#41—2441no—
1426C2×Q8—611no—
1427C2×Q8—611no—
1428C2×Q8—1221no—
1429C2×Q8C23×D6111yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—611no—
1439C2×D4—611no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—611no—
1443C2×D4—611no—
1444C2×D4—611no—
1445C2×D4—1222no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1221no—
1450C2×D4—1221no—
1451C2×D4—1221no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1222no—
1462C2×D4—1221no—
1463C2×D4—1221no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—4882no—
1472C2×D4—4882no—
1473C2×D4—4882no—
1474C2×D4—4882no—
1475C2×D4—4882no—
1476C2×D4—4882no—
1477C2×D4—2441no—
1478C2×D4—2441no—
1479C2×D4—2441no—
1480C2×D4—2441no—
1481C2×D4—2441no—
1482C2×D4—2441no—
1483C2×D4—2441no—
1484C2×D4—2441no—
1485C2×D4—2441no—
1486C2×D4—2441no—
1487C2×D4D4×D6111yescharacteristic
1488C2×D4C23×D6111yescharacteristic
1489C2×D4C23×D6111yescharacteristic
1490C2×D4C23×D6111yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—1221no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—4882no—
1513C22×C4C23×D6111yescharacteristic
1514C22×C4C23×D6111yescharacteristic
1515Q16—2441no—
1516SD16—41no—
1517SD16—1222no—
1518SD16—2441no—
1519SD16—2441no—
1520SD16—2441no—
1521SD16—2441no—
1522SD16—2441no—
1523SD16—2441no—
1524D8—41no—
1525D8—41no—
1526D8—1222no—
1527D8—1222no—
1528D8—1222no—
1529D8—1222no—
1530D8—1222no—
1531D8—2441no—
1532D8—2441no—
1533D8—2441no—
1534D8—2441no—
1535D8—2441no—
1536D8—2441no—
1537D8—2441no—
1538D8—2441no—
1539M16—41no—
1540M16—2441no—
1541C2×C8—41no—
1542C2×C8—611no—
1543C2×C8—611no—
1544C2×C8—611no—
1545C2×C8—611no—
1546C2×C8—2441no—
1547C2×C8—2441no—
1548C2×C8—2441no—
1549C2×C8C23×D6111yescharacteristic
1550C2×C8C23×D6111yescharacteristic
1551C2×C8C23×D6111yescharacteristic
1552C2×C8C23×D6111yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
1563C4⋊C4—611no—
1564C4⋊C4—611no—
1565C4⋊C4—611no—
1566C4⋊C4—611no—
1567C4⋊C4—611no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4D4×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—611no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4D4×D6111yescharacteristic
1629C22⋊C4D4×D6111yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—611no—
1633C42—611no—
1634C42—611no—
1635C42—611no—
1636C42—611no—
1637C42—1221no—
1638C42—1221no—
1639C42C23×D6111yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—611no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—1221no—
1648C23—1221no—
1649C23—4881no—
1650C23—4881no—
1651C23—4881no—
1652C23—4881no—
1653C23—4881no—
1654C23—4881no—
1655C23—4881no—
1656C23—4881no—
1657C23—4881no—
1658C23—4881no—
1659C23—4881no—
1660C23—4881no—
1661C23—4881no—
1662C23—2442no—
1663C23—2442no—
1664C23—2442no—
1665C23—2442no—
1666C23—2442no—
1667C23C2×D4×D6111yescharacteristic
1668C23C2×D4×D6111yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—1221no—
1672Q8—1221no—
1673Q8—4881no—
1674Q8—2441no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—41no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—612no—
1691D4—1222no—
1692D4—1222no—
1693D4—1221no—
1694D4—1221no—
1695D4—1221no—
1696D4—1221no—
1697D4—1221no—
1698D4—1221no—
1699D4—1221no—
1700D4—1221no—
1701D4—1221no—
1702D4—4881no—
1703D4—4881no—
1704D4—4881no—
1705D4—4881no—
1706D4—4881no—
1707D4—4881no—
1708D4—4881no—
1709D4—4881no—
1710D4—4881no—
1711D4—4881no—
1712D4—4881no—
1713D4—4881no—
1714D4—4881no—
1715D4—4881no—
1716D4—4881no—
1717D4—4881no—
1718D4—4881no—
1719D4—4881no—
1720D4—2442no—
1721D4—2442no—
1722D4—2442no—
1723D4—2442no—
1724D4—2442no—
1725D4—2442no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—81no—
1739C2×C4—611no—
1740C2×C4—611no—
1741C2×C4—611no—
1742C2×C4—611no—
1743C2×C4—611no—
1744C2×C4—611no—
1745C2×C4—611no—
1746C2×C4—1222no—
1747C2×C4—1221no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—4881no—
1753C2×C4—4881no—
1754C2×C4—4881no—
1755C2×C4—4881no—
1756C2×C4—4881no—
1757C2×C4—4881no—
1758C2×C4—4881no—
1759C2×C4—4881no—
1760C2×C4—4881no—
1761C2×C4—4881no—
1762C2×C4—4881no—
1763C2×C4—2441no—
1764C2×C4—2442no—
1765C2×C4—2442no—
1766C2×C4—2442no—
1767C2×C4C2×D4×D6111yescharacteristic
1768C2×C4C2×D4×D6111yescharacteristic
1769C2×C4C2×D4×D6111yescharacteristic
1770C2×C4C2×D4×D6111yescharacteristic
1771C2×C4C24×D6111yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1221no—
1777C8—1221no—
1778C8—1221no—
1779C8—1221no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—612no—
1796C22—1221no—
1797C22—1221no—
1798C22—1222no—
1799C22—9762no—
1800C22—9762no—
1801C22—9762no—
1802C22—9762no—
1803C22—9762no—
1804C22—4884no—
1805C22—2441no—
1806C22—2441no—
1807C22—2441no—
1808C22—2441no—
1809C22—2441no—
1810C22—2441no—
1811C22—2441no—
1812C22—2441no—
1813C22—2441no—
1814C22—2441no—
1815C22—2441no—
1816C22—2441no—
1817C22—2441no—
1818C22—2441no—
1819C22C22×D4×D6111yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—1221no—
1830C4—1221no—
1831C4—1221no—
1832C4—1221no—
1833C4—1221no—
1834C4—1221no—
1835C4—1221no—
1836C4—2441no—
1837C4—2441no—
1838C4—2441no—
1839C4H(5,𝔽2)×D6111yescharacteristic
1840C4#1684059811yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—1222no—
1847C2—4881no—
1848C2—4881no—
1849C2—4881no—
1850C2—4881no—
1851C2—2442no—
1852C2#2145948211yescharacteristic
1853C2#576×D6111yescharacteristic
1854C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3309C2
socleC22×C61C23×D4
hypercenter#3309D61
hypocenterC61#62007
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21460143C2semidirect
2. #21459766C2semidirect
3. #21458908C2semidirect
4. #21458864C2semidirect
5. #21458575C2semidirect
6. #21458523C2semidirect
7. #21457954C2semidirect
8. #21457843C2semidirect
9. #21457781C2semidirect
10. #21457655C2semidirect
11. #21457630C2semidirect
12. #21457502C2semidirect
13. #21457493C2semidirect
14. #21457360C2semidirect
15. #21457306C2semidirect
16. #21457304C2semidirect
17. #21457302C2semidirect
18. #21457255C2semidirect
19. #21457223C2semidirect
20. #21457173C2semidirect
21. #21456911C2semidirect
22. #21456867C2semidirect
23. #21456838C2semidirect
24. #21456058C2semidirect
25. #21456021C2semidirect
26. #21455961C2semidirect
27. #21455357C2semidirect
28. #21455325C2semidirect
29. #459×D61C2semidirect
30. #21454954C2semidirect
31. C61×#3309C2semidirect
32. C2×#14519805C22semidirect
33. C2×#14519802C22semidirect
34. C2×#14519797C22semidirect
35. C22×D488C22semidirect
36. C2×D8×D61C22semidirect
37. C2×D8×D61C22semidirect
40. #16840497C22semidirect
41. #16840495C22semidirect
42. #16840468C22semidirect
44. #16840451C22semidirect
47. #16840432C22semidirect
48. #16840413C22semidirect
50. #16840409C22semidirect
51. #16840408C22semidirect
54. #16840400C22semidirect
55. D4×D244C22semidirect
58. #16840396C22semidirect
59. #16840396C22semidirect
60. #16840379C22semidirect
61. #16840365C22semidirect
62. #16840365C22semidirect
63. #16840365C22semidirect
67. #16840326C22semidirect
68. #16840326C22semidirect
72. #127×D61C22semidirect
73. #16840299C22semidirect
74. #16840297C22semidirect
78. #16840243C22semidirect
79. #16840236C22semidirect
80. C4×D4×D61C22semidirect
81. #16840151C22semidirect
82. #16840150C22semidirect
83. #16840149C22semidirect
84. #16840148C22semidirect
85. #16840143C22semidirect
86. #16840137C22semidirect
87. #16840128C22semidirect
88. #16840125C22semidirect
89. #16840123C22semidirect
90. #16840118C22semidirect
91. #16840107C22semidirect
92. #16840091C22semidirect
93. #16840086C22semidirect
94. #16840080C22semidirect
95. #16840077C22semidirect
96. #16840068C22semidirect
97. #16840065C22semidirect
98. #16840064C22semidirect
99. #16840064C22semidirect
100. #16840061C22semidirect
101. #16840061C22semidirect
102. #16840059C22semidirect
103. #16840050C22semidirect
104. #16840041C22semidirect
105. #16840015C22semidirect
106. #16840013C22semidirect
107. #16840006C22semidirect
108. #16840002C22semidirect
110. #16839996C22semidirect
111. #16839996C22semidirect
112. #16839994C22semidirect
113. #16839992C22semidirect
114. #16839991C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839984C22semidirect
118. #16839980C22semidirect
119. #16839980C22semidirect
120. #16839980C22semidirect
121. #16839980C22semidirect
122. #16839980C22semidirect
123. #16839979C22semidirect
124. #16839978C22semidirect
125. #16839976C22semidirect
126. #16839975C22semidirect
127. #16839961C22semidirect
128. #16839961C22semidirect
129. #16839961C22semidirect
131. #16839957C22semidirect
132. #16839956C22semidirect
133. #16839956C22semidirect
134. #16839956C22semidirect
135. #16839956C22semidirect
136. #16839956C22semidirect
137. #16839956C22semidirect
138. #16839956C22semidirect
139. #16839956C22semidirect
140. #16839955C22semidirect
141. #16839955C22semidirect
142. #16839955C22semidirect
143. #16839954C22semidirect
144. #16839924C22semidirect
145. #16839915C22semidirect
146. #16839914C22semidirect
147. #16839914C22semidirect
148. #16839911C22semidirect
149. #16839909C22semidirect
150. #16839907C22semidirect
151. #16839905C22semidirect
152. #16839898C22semidirect
153. #16839898C22semidirect
155. #16839897C22semidirect
156. #16839897C22semidirect
157. #16839895C22semidirect
158. #16839895C22semidirect
159. #16839895C22semidirect
160. #16839891C22semidirect
161. #16839890C22semidirect
162. #16839875C22semidirect
163. #16839873C22semidirect
164. #16839872C22semidirect
165. #16839871C22semidirect
166. #16839871C22semidirect
167. #16839861C22semidirect
168. #16839860C22semidirect
169. #16839853C22semidirect
170. #16839844C22semidirect
171. #16839844C22semidirect
172. #16839842C22semidirect
173. #16839836C22semidirect
174. #16839834C22semidirect
175. #16839831C22semidirect
176. C8×C22⋊D61C22semidirect
177. #16839825C22semidirect
178. #16839820C22semidirect
179. #16839820C22semidirect
180. #16839817C22semidirect
181. #16839790C22semidirect
182. #16839788C22semidirect
183. C4⋊C8×D61C22semidirect
184. #16839766C22semidirect
185. C2×#14519697C22semidirect
186. #102×D61C22semidirect
187. #102×D61C22semidirect
188. C61×#553C22semidirect
189. C61×#550C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#480C22semidirect
193. C61×#479C22semidirect
194. C61×#469C22semidirect
195. C61×#466C22semidirect
196. C61×#459C22semidirect
197. C61×#449C22semidirect
198. C61×#449C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
922. #3309D61semidirect
971. #553C2×D61semidirect
976. #550C2×D61semidirect
1018. #490C2×D61semidirect
1024. #482C2×D61semidirect
1027. #480C2×D61semidirect
1029. #479C2×D61semidirect
1040. #469C2×D61semidirect
1046. #466C2×D61semidirect
1079. #459C2×D61semidirect
1088. #449C2×D61semidirect
1089. #449C2×D61semidirect
1107. #440C2×D61semidirect
1115. #435C2×D61semidirect
1125. #417C2×D61semidirect
1126. #416C2×D61semidirect
1130. C61#62007semidirect

Maximal subgroups

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

subgroupindex
#214601432
#214597662
#214589082
#214588642
#214585752
#214585232
#214579542
#214578432
#214577812
#214576552
#214576302
#214575022
#214574932
#214573602
#214573062
#214573042
#214573022
#214572552
#214572232
#214571732
#214569112
#214568672
#214568382
#214560582
#214560212
#214559612
#214553572
#214553252
#459×D612
#214549542
C61×#33092
#6200761