Finite Group Databasebeta

← D61×#3310 #30556547

Subgroups — D61×#3310 #30556547

Order 15616.

2578 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic, complemented
2D42×D61C211yesmaximal, characteristic
3#21457847C211yesmaximal, characteristic, complemented
4#21457846C211yesmaximal, characteristic, complemented
5#21457845C211yesmaximal, characteristic, complemented
6#21457844C211yesmaximal, characteristic, complemented
7#21457843C211yesmaximal, characteristic, complemented
8#21457842C211yesmaximal, characteristic, complemented
9#21457841C211yesmaximal, characteristic, complemented
10#21457840C211yesmaximal, characteristic, complemented
11#21457839C211yesmaximal, characteristic, complemented
12#21457838C211yesmaximal, characteristic, complemented
13#21457837C211yesmaximal, characteristic, complemented
14#21457836C211yesmaximal, characteristic, complemented
15#21457835C211yesmaximal, characteristic, complemented
16#21457834C211yesmaximal, characteristic, complemented
17#21457833C211yesmaximal, characteristic, complemented
18#490×D61C211yesmaximal, characteristic, complemented
19#482×D61C211yesmaximal, characteristic, complemented
20#480×D61C211yesmaximal, characteristic, complemented
21#478×D61C211yesmaximal, characteristic, complemented
22#468×D61C211yesmaximal, characteristic, complemented
23#465×D61C211yesmaximal, characteristic, complemented
24#460×D61C211yesmaximal, characteristic, complemented
25#450×D61C211yesmaximal, characteristic, complemented
26#450×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#418×D61C211yesmaximal, characteristic, complemented
30C2×#102×D61C211yesmaximal, characteristic, complemented
31C61×#3310C211yesmaximal, characteristic, complemented
32C22×D4×D61—21no—
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic, complemented
39C22×C8×D61C2211yescharacteristic, complemented
40#16840454C2211yescharacteristic, complemented
41#16840453C2211yescharacteristic, complemented
42#16840452C2211yescharacteristic, complemented
43#16840451C2211yescharacteristic, complemented
44#16840450C2211yescharacteristic, complemented
45#16840449—21no—
46#16840448—21no—
47#16840447C2211yescharacteristic, complemented
48#16840446C2211yescharacteristic, complemented
49#16840445—21no—
50#16840444—21no—
51D4×D244C2211yescharacteristic
52D4×D244C2211yescharacteristic
53#16840397C2211yescharacteristic
54#16840396—21no—
55#16840396C2211yescharacteristic
56#16840396C2211yescharacteristic
57D4×C22⋊D61—21no—
58D4×C22⋊D61C2211yescharacteristic
59D4×C22⋊D61C2211yescharacteristic
60#16840394—21no—
61#16840394—21no—
62#127×D61C2211yescharacteristic
63#126×D61—21no—
64#125×D61—21no—
65#125×D61C2211yescharacteristic, complemented
66#123×D61—21no—
67C22⋊Q8×D61C2211yescharacteristic, complemented
68C22⋊Q8×D61C2211yescharacteristic, complemented
69#121×D61—21no—
70#121×D61C2211yescharacteristic
71#121×D61C2211yescharacteristic
72#120×D61—21no—
73#120×D61—21no—
74C4×Q8×D61C2211yescharacteristic, complemented
75C4×D4×D61C2211yescharacteristic
76C4×D4×D61C2211yescharacteristic
77#117×D61—21no—
78#117×D61C2211yescharacteristic, complemented
79C2×C4⋊C4×D61C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840125C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840125C2211yescharacteristic, complemented
87#16840089C2211yescharacteristic, complemented
88#16840088C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840086C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840084C2211yescharacteristic, complemented
93#16840083C2211yescharacteristic, complemented
94#16840077C2211yescharacteristic, complemented
95#16840077C2211yescharacteristic, complemented
96#16840076C2211yescharacteristic, complemented
97#16840075C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840073C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840061C2211yescharacteristic, complemented
106#16840060C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840011C2211yescharacteristic, complemented
109#16840010C2211yescharacteristic, complemented
110#16840009C2211yescharacteristic, complemented
111#16840008C2211yescharacteristic, complemented
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16839994C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839992C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839963C2211yescharacteristic, complemented
123#16839962C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839961C2211yescharacteristic, complemented
126#16839960C2211yescharacteristic, complemented
127#16839960C2211yescharacteristic, complemented
128#16839959C2211yescharacteristic, complemented
129#16839915C2211yescharacteristic, complemented
130#16839915C2211yescharacteristic, complemented
131#16839914C2211yescharacteristic, complemented
132#16839914C2211yescharacteristic, complemented
133#16839914C2211yescharacteristic, complemented
134#16839914C2211yescharacteristic, complemented
135#16839913C2211yescharacteristic, complemented
136#16839913C2211yescharacteristic, complemented
137#16839912C2211yescharacteristic, complemented
138#16839912C2211yescharacteristic, complemented
139#16839911C2211yescharacteristic, complemented
140#16839911C2211yescharacteristic, complemented
141#16839911C2211yescharacteristic, complemented
142#16839911C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839863C2211yescharacteristic, complemented
146#16839862C2211yescharacteristic, complemented
147#16839861C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149#16839859C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic, complemented
158#107×D61C2211yescharacteristic, complemented
159#106×D61C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839768C2211yescharacteristic, complemented
162#16839767C2211yescharacteristic, complemented
163#16839766C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839765C2211yescharacteristic, complemented
166#16839765C2211yescharacteristic, complemented
167#16839765C2211yescharacteristic, complemented
168#103×D61C2211yescharacteristic, complemented
169C2×#14519699C2211yescharacteristic, complemented
170C2×#14519698C2211yescharacteristic, complemented
171C2×#14519697C2211yescharacteristic, complemented
172#102×D61C2211yescharacteristic
173#102×D61C2211yescharacteristic
174#102×D61C2211yescharacteristic
175#102×D61C2211yescharacteristic, complemented
176#102×D61C2211yescharacteristic, complemented
177#102×D61C2211yescharacteristic, complemented
178#102×D61C2211yescharacteristic, complemented
179#102×D61C2211yescharacteristic, complemented
180#102×D61C2211yescharacteristic, complemented
181#102×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic, complemented
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#450C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203C24×D61—21no—
204C24×D61—21no—
205C2×Q8×D61C2311yescharacteristic
206C22×D244—21no—
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×C22⋊D61—21no—
210C22×C22⋊D61—21no—
211C22×C22⋊D61—21no—
212C22×C22⋊D61—21no—
213C2×D4×D61—24no—
214C2×D4×D61—24no—
215C2×D4×D61—21no—
216C2×D4×D61—21no—
217C2×D4×D61—21no—
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—42no—
228C2×D4×D61—42no—
229C2×D4×D61—48no—
230C2×D4×D61D411yescharacteristic
231C2×D4×D61C2311yescharacteristic
232C2×D4×D61C2311yescharacteristic
233C2×D4×D61C2311yescharacteristic
234C2×D4×D61C2311yescharacteristic
235C2×D4×D61C2311yescharacteristic
236C2×D4×D61C2311yescharacteristic
237C2×D4×D61C2311yescharacteristic
238C22×C4×D61—21no—
239C22×C4×D61—21no—
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242C2×#11758190C2311yescharacteristic
243C2×#11758190C2311yescharacteristic, complemented
244C2×#11758190C2311yescharacteristic, complemented
245C2×#11758200C2311yescharacteristic
246C2×#11758200C2311yescharacteristic, complemented
247C2×#11758200C2311yescharacteristic, complemented
248C2×#11758201C2311yescharacteristic
249C2×#11758201C2311yescharacteristic, complemented
250C2×#11758201C2311yescharacteristic, complemented
251SD16×D61—24no—
252SD16×D61—42no—
253SD16×D61—42no—
254C2×#11758194C2311yescharacteristic, complemented
255C2×#11758189C2311yescharacteristic, complemented
256C2×#11758189C2311yescharacteristic, complemented
257M16×D61—42no—
258C22×#92418C2311yescharacteristic, complemented
259C2×C8×D61—42no—
260C2×C8×D61C2311yescharacteristic
261C2×C8×D61C2311yescharacteristic
262C2×C8×D61C2311yescharacteristic
263C2×C8×D61C2311yescharacteristic
264C2×C8×D61C2311yescharacteristic, complemented
265C2×C8×D61C2311yescharacteristic, complemented
266#14519774C2311yescharacteristic
267#14519773—21no—
268#14519773—21no—
269#14519773C2311yescharacteristic
270#14519773C2311yescharacteristic
271#14519772—21no—
272#14519772—21no—
273#14519772—21no—
274#14519771—21no—
275#14519770—21no—
276#14519770—21no—
277#14519770—21no—
278#14519769—21no—
279#14519769C2311yescharacteristic, complemented
280#14519768—21no—
281#14519768—21no—
282#14519768C2311yescharacteristic, complemented
283#14519768C2311yescharacteristic, complemented
284#14519767—21no—
285#14519767—21no—
286#14519767—21no—
287#14519767—21no—
288#14519767—21no—
289#14519767—21no—
290#14519762—21no—
291#14519762—21no—
292#14519761—21no—
293#14519760—21no—
294#14519759—21no—
295#14519759—21no—
296#14519758—21no—
297#14519757C2311yescharacteristic, complemented
298#14519757C2311yescharacteristic, complemented
299#14519756C2311yescharacteristic, complemented
300#14519756C2311yescharacteristic, complemented
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519753C2311yescharacteristic, complemented
306#14519753C2311yescharacteristic, complemented
307#14519752—21no—
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751C2311yescharacteristic
312#14519751C2311yescharacteristic
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519748—21no—
322#14519748C2311yescharacteristic
323#14519748C2311yescharacteristic
324#14519747—21no—
325#14519747—21no—
326#14519747—21no—
327#14519747—21no—
328#14519747—21no—
329#14519747—21no—
330#14519746—21no—
331#14519746—21no—
332#14519745—21no—
333#14519745—21no—
334#14519745—21no—
335#14519745—21no—
336#14519745—21no—
337#14519745—21no—
338Q8×Dic61C2311yescharacteristic, complemented
339C4×Dic122—21no—
340C4×Dic122C2311yescharacteristic, complemented
341#14519742—21no—
342#14519742C2311yescharacteristic, complemented
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345D4×Dic61D411yescharacteristic
346D4×Dic61C2311yescharacteristic
347#14519739D411yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61C2311yescharacteristic
351C4×C22⋊D61C2311yescharacteristic
352#14519737—21no—
353#14519737D411yescharacteristic
354#14519737D411yescharacteristic
355#14519736—21no—
356#14519736C2311yescharacteristic, complemented
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic, complemented
360#14519735C2311yescharacteristic, complemented
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367C2×C4⋊Dic61C2311yescharacteristic, complemented
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61D411yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic, complemented
382C4⋊C4×D61C2311yescharacteristic, complemented
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61D411yescharacteristic
390C22⋊C4×D61D411yescharacteristic
391C42×D61—21no—
392C42×D61—21no—
393C42×D61C2311yescharacteristic
394#14519711C2311yescharacteristic, complemented
395#14519711C2311yescharacteristic, complemented
396#14519710C2311yescharacteristic, complemented
397#14519710C2311yescharacteristic, complemented
398#14519710C2311yescharacteristic, complemented
399#14519710C2311yescharacteristic, complemented
400#14519709C2311yescharacteristic, complemented
401#14519708C2311yescharacteristic, complemented
402#14519708C2311yescharacteristic, complemented
403C4⋊#92418C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519706C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519701C2311yescharacteristic, complemented
408#14519700C2311yescharacteristic, complemented
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic, complemented
413#14519699C2311yescharacteristic, complemented
414#14519699C2311yescharacteristic, complemented
415#14519699C2311yescharacteristic, complemented
416#14519699C2311yescharacteristic, complemented
417#14519699C2311yescharacteristic, complemented
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic, complemented
422#14519698C2311yescharacteristic, complemented
423#14519698C2311yescharacteristic, complemented
424#14519698C2311yescharacteristic, complemented
425#14519698C2311yescharacteristic, complemented
426#14519698C2311yescharacteristic, complemented
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic, complemented
431#14519697C2311yescharacteristic, complemented
432#14519697C2311yescharacteristic, complemented
433#14519697C2311yescharacteristic, complemented
434#14519697C2311yescharacteristic, complemented
435#14519697C2311yescharacteristic, complemented
436C22⋊#92418C2311yescharacteristic, complemented
437C22⋊#92418C2311yescharacteristic, complemented
438#14519689C2311yescharacteristic, complemented
439#14519689C2311yescharacteristic, complemented
440#14519689C2311yescharacteristic, complemented
441#14519689C2311yescharacteristic, complemented
442#14519688C2311yescharacteristic, complemented
443#14519687C2311yescharacteristic, complemented
444#14519687C2311yescharacteristic, complemented
445C22×D4×C61—21no—
446C22×D4×C61C2311yescharacteristic
447C22×D4×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic, complemented
450C2×SD16×C61C2311yescharacteristic, complemented
451C2×M16×C61C2311yescharacteristic, complemented
452C22×C8×C61C2311yescharacteristic, complemented
453#127×C61C2311yescharacteristic
454#126×C61—21no—
455#125×C61—21no—
456#125×C61C2311yescharacteristic, complemented
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic, complemented
459C22⋊Q8×C61C2311yescharacteristic, complemented
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463#120×C61—21no—
464#120×C61—21no—
465C4×Q8×C61C2311yescharacteristic, complemented
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61C2311yescharacteristic, complemented
470C2×C4⋊C4×C61C2311yescharacteristic, complemented
471#107×C61C2311yescharacteristic, complemented
472#107×C61C2311yescharacteristic, complemented
473#106×C61C2311yescharacteristic, complemented
474C4⋊C8×C61C2311yescharacteristic, complemented
475#103×C61C2311yescharacteristic, complemented
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic, complemented
480#102×C61C2311yescharacteristic, complemented
481#102×C61C2311yescharacteristic, complemented
482#102×C61C2311yescharacteristic, complemented
483#102×C61C2311yescharacteristic, complemented
484#102×C61C2311yescharacteristic, complemented
485C22⋊C8×C61C2311yescharacteristic, complemented
486C22⋊C8×C61C2311yescharacteristic, complemented
487#97×C61C2311yescharacteristic, complemented
488C24×C61—21no—
489C24×C61—21no—
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61—21no—
499C23×D61—44no—
500C23×D61—44no—
501C23×D61—44no—
502C23×D61—44no—
503C23×D61—82no—
504C23×D61—82no—
505C23×D61C2×D411yescharacteristic
506C23×D61C2×D411yescharacteristic
507C2×Q8×C61C2411yescharacteristic
508C2×D4×C61—22no—
509C2×D4×C61—22no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—41no—
517C2×D4×C61—41no—
518C2×D4×C61—44no—
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C2×D4×C61C2411yescharacteristic
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61C2411yescharacteristic
526C22×C4×C61C2411yescharacteristic
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
539C2×C22⋊D61—21no—
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C2×C22⋊D61—44no—
543C2×C22⋊D61—44no—
544C2×C22⋊D61—44no—
545C2×C22⋊D61—44no—
546C2×C22⋊D61C2×D411yescharacteristic
547C2×C22⋊D61C2×D411yescharacteristic
548C22×Dic61—21no—
549C22×Dic61—21no—
550C22×Dic61C2×D411yescharacteristic
551C22×Dic61C2×D411yescharacteristic
552Q8×D61—22no—
553Q8×D61—22no—
554D4×D61—24no—
555D4×D61—22no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—22no—
560D4×D61—22no—
561D4×D61—22no—
562D4×D61—22no—
563D4×D61—22no—
564D4×D61—41no—
565D4×D61—41no—
566D4×D61—41no—
567D4×D61—41no—
568D4×D61—44no—
569D4×D61—44no—
570D4×D61—44no—
571D4×D61—44no—
572D4×D61—44no—
573D4×D61—44no—
574D4×D61—44no—
575D4×D61—44no—
576D4×D61—44no—
577D4×D61—44no—
578D4×D61—44no—
579D4×D61—82no—
580D4×D61#4114yes—
581C2×D244—22no—
582C2×D244—22no—
583C2×D244—21no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—21no—
587C2×D244—21no—
588C2×D244—21no—
589C2×D244—41no—
590C2×D244—41no—
591C2×D244—44no—
592C2×D244C2×D411yescharacteristic
593C2×D244C2411yescharacteristic
594C2×D244C2411yescharacteristic
595C2×D244C2411yescharacteristic
596C2×C4×D61—22no—
597C2×C4×D61—22no—
598C2×C4×D61—22no—
599C2×C4×D61—22no—
600C2×C4×D61—21no—
601C2×C4×D61—21no—
602C2×C4×D61—21no—
603C2×C4×D61—21no—
604C2×C4×D61—21no—
605C2×C4×D61—21no—
606C2×C4×D61—21no—
607C2×C4×D61—21no—
608C2×C4×D61—21no—
609C2×C4×D61—44no—
610C2×C4×D61—44no—
611C2×C4×D61C2×D411yescharacteristic
612C2×C4×D61C2×D411yescharacteristic
613C2×C4×D61C2×D411yescharacteristic
614C2×C4×D61C2×D411yescharacteristic
615C2×C4×D61C2×D411yescharacteristic
616C2×C4×D61C2×D411yescharacteristic
617C2×C4×D61C2411yescharacteristic
618C2×C4×D61C2411yescharacteristic
619C2×C4×D61C2411yescharacteristic
620C2×Dic122—21no—
621C2×Dic122C2411yescharacteristic
622SD16×C61—22no—
623SD16×C61—41no—
624SD16×C61—41no—
625M16×C61—41no—
626C2×C8×C61—41no—
627C2×C8×C61C2411yescharacteristic
628C2×C8×C61C2411yescharacteristic
629C2×C8×C61C2411yescharacteristic
630C2×C8×C61C2411yescharacteristic
631C4⋊C4×C61—21no—
632C4⋊C4×C61—21no—
633C4⋊C4×C61—21no—
634C4⋊C4×C61—21no—
635C4⋊C4×C61—21no—
636C4⋊C4×C61—21no—
637C4⋊C4×C61C2×D411yescharacteristic
638C4⋊C4×C61C2411yescharacteristic
639C4⋊C4×C61C2411yescharacteristic
640C4⋊C4×C61C2411yescharacteristic
641C4⋊C4×C61C2411yescharacteristic
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61C2×D411yescharacteristic
649C22⋊C4×C61C2×D411yescharacteristic
650C42×C61—21no—
651C42×C61—21no—
652C42×C61C2411yescharacteristic
653C22⋊Dic61—21no—
654C22⋊Dic61—21no—
655C22⋊Dic61—21no—
656C22⋊Dic61—21no—
657C22⋊Dic61—21no—
658C22⋊Dic61—21no—
659C22⋊Dic61C2×D411yescharacteristic
660C22⋊Dic61C2×D411yescharacteristic
661#11758201—22no—
662#11758201—41no—
663#11758201—41no—
664#11758200—22no—
665#11758200—41no—
666#11758200—41no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198C2×D411yescharacteristic
680#11758198C2×D411yescharacteristic
681#11758198C2×D411yescharacteristic
682#11758198C2×D411yescharacteristic
683C4⋊Dic61—21no—
684C4⋊Dic61—21no—
685C4⋊Dic61—21no—
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61C2×D411yescharacteristic
690C4⋊Dic61C2411yescharacteristic
691C4⋊Dic61C2411yescharacteristic
692C4⋊Dic61C2411yescharacteristic
693C4⋊Dic61C2411yescharacteristic
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196C2×D411yescharacteristic
711#11758196C2×D411yescharacteristic
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61C2×D411yescharacteristic
719C4×Dic61C2×D411yescharacteristic
720C4×Dic61C2411yescharacteristic
721#11758194—41no—
722C2×#92418—41no—
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726C2×#92418C2411yescharacteristic
727#11758190—22no—
728#11758190—41no—
729#11758190—41no—
730#11758189—41no—
731#11758189—41no—
732C8×D61—22no—
733C8×D61—22no—
734C8×D61—22no—
735C8×D61—22no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—42no—
742C23×C61—42no—
743C23×C61—42no—
744C23×C61—42no—
745C23×C61—81no—
746C23×C61—81no—
747C23×C61C22×D411yescharacteristic
748C23×C61C22×D411yescharacteristic
749C22×D61—22no—
750C22×D61—22no—
751C22×D61—21no—
752C22×D61—22no—
753C22×D61—24no—
754C22×D61—22no—
755C22×D61—22no—
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—42no—
759C22×D61—42no—
760C22×D61—42no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—42no—
764C22×D61—42no—
765C22×D61—42no—
766C22×D61—42no—
767C22×D61—42no—
768C22×D61—42no—
769C22×D61—42no—
770C22×D61—42no—
771C22×D61—42no—
772C22×D61—42no—
773C22×D61—42no—
774C22×D61—42no—
775C22×D61—42no—
776C22×D61—42no—
777C22×D61—42no—
778C22×D61—81no—
779C22×D61—81no—
780C22×D61—81no—
781C22×D61—81no—
782C22×D61—816no—
783C22×D61—81no—
784C22×D61—81no—
785C22×D61—816no—
786C22×D61AGL(1,ℤ/8)14yes—
787C22×D61C22×D411yescharacteristic
788C22×D61C22×D411yescharacteristic
789C22×D61C22×D411yescharacteristic
790Q8×C61—21no—
791Q8×C61—21no—
792D4×C61—22no—
793D4×C61—21no—
794D4×C61—21no—
795D4×C61—21no—
796D4×C61—21no—
797D4×C61—21no—
798D4×C61—42no—
799D4×C61—42no—
800D4×C61—42no—
801D4×C61—42no—
802D4×C61—42no—
803D4×C61—81no—
804D4×C61C2×#4112yes—
805C2×C4×C61—21no—
806C2×C4×C61—21no—
807C2×C4×C61—21no—
808C2×C4×C61—21no—
809C2×C4×C61—21no—
810C2×C4×C61—21no—
811C2×C4×C61—21no—
812C2×C4×C61—21no—
813C2×C4×C61—21no—
814C2×C4×C61—42no—
815C2×C4×C61—42no—
816C2×C4×C61C22×D411yescharacteristic
817C2×C4×C61C22×D411yescharacteristic
818C2×C4×C61C22×D411yescharacteristic
819C2×C4×C61C22×D411yescharacteristic
820C2×C4×C61C2511yescharacteristic
821C22⋊D61—22no—
822C22⋊D61—22no—
823C22⋊D61—24no—
824C22⋊D61—42no—
825C22⋊D61—42no—
826C22⋊D61—42no—
827C22⋊D61—42no—
828C22⋊D61—42no—
829C22⋊D61—42no—
830C22⋊D61—42no—
831C22⋊D61—42no—
832C22⋊D61—42no—
833C22⋊D61—42no—
834C22⋊D61—42no—
835C22⋊D61—42no—
836C22⋊D61—81no—
837C22⋊D61—81no—
838C2×Dic61—22no—
839C2×Dic61—22no—
840C2×Dic61—21no—
841C2×Dic61—21no—
842C2×Dic61—21no—
843C2×Dic61—21no—
844C2×Dic61—21no—
845C2×Dic61—42no—
846C2×Dic61—42no—
847C2×Dic61C22×D411yescharacteristic
848C2×Dic61C22×D411yescharacteristic
849C2×Dic61C22×D411yescharacteristic
850C2×Dic61C22×D411yescharacteristic
851C2×Dic61C22×D411yescharacteristic
852D244—22no—
853D244—21no—
854D244—21no—
855D244—21no—
856D244—21no—
857D244—21no—
858D244—42no—
859D244—42no—
860D244—42no—
861D244—42no—
862D244—42no—
863D244—81no—
864D244C2×#4112yes—
865C4×D61—22no—
866C4×D61—22no—
867C4×D61—22no—
868C4×D61—22no—
869C4×D61—21no—
870C4×D61—21no—
871C4×D61—21no—
872C4×D61—21no—
873C4×D61—22no—
874C4×D61—22no—
875C4×D61—42no—
876C4×D61—42no—
877C4×D61—42no—
878C4×D61—42no—
879C4×D61—42no—
880C4×D61—42no—
881C4×D61—42no—
882C4×D61—42no—
883C4×D61—42no—
884C4×D61C2×#4112yes—
885C4×D61H(5,𝔽2)12yes—
886Dic122—21no—
887Dic122—21no—
888Dic122—42no—
889C8×C61—21no—
890C8×C61—21no—
891C8×C61—21no—
892C8×C61—21no—
893#92418—21no—
894#92418—21no—
895#92418—21no—
896#92418—21no—
897C2×#3310—611nomaximal, Sylow
898C22×C61—21no—
899C22×C61—21no—
900C22×C61—21no—
901C22×C61—22no—
902C22×C61—21no—
903C22×C61—21no—
904C22×C61—41no—
905C22×C61—41no—
906C22×C61—41no—
907C22×C61—41no—
908C22×C61—41no—
909C22×C61—41no—
910C22×C61—41no—
911C22×C61—41no—
912C22×C61—84no—
913C22×C61—84no—
914C22×C61C2×AGL(1,ℤ/8)12yes—
915C22×C61C23×D411yescharacteristic
916C2×D61—21no—
917C2×D61—21no—
918C2×D61—28no—
919C2×D61—21no—
920C2×D61—22no—
921C2×D61—21no—
922C2×D61—21no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—44no—
926C2×D61—48no—
927C2×D61—41no—
928C2×D61—41no—
929C2×D61—41no—
930C2×D61—41no—
931C2×D61—41no—
932C2×D61—41no—
933C2×D61—84no—
934C2×D61—84no—
935C2×D61—84no—
936C2×D61—84no—
937C2×D61—84no—
938C2×D61—84no—
939C2×D61—84no—
940C2×D61—84no—
941C2×D61#54612yes—
942C2×D61C2×AGL(1,ℤ/8)12yes—
943C2×D61C2×AGL(1,ℤ/8)12yes—
944C2×D61#57712yes—
945C4×C61—21no—
946C4×C61—21no—
947C4×C61—21no—
948C4×C61—21no—
949C4×C61—41no—
950C4×C61—41no—
951C4×C61—41no—
952C4×C61—41no—
953C4×C61—41no—
954C4×C61C22×#4111yescharacteristic
955C4×C61C2×H(5,𝔽2)11yescharacteristic
956Dic61—21no—
957Dic61—21no—
958Dic61—21no—
959Dic61—21no—
960Dic61—41no—
961Dic61—41no—
962Dic61—41no—
963Dic61—41no—
964Dic61—41no—
965Dic61#54612yes—
966C2×#552—611no—
967C2×D42—611no—
968#3310—611no—
969#3310—611no—
970#3310—611no—
971#3310—611no—
972#3310—611no—
973#3310—611no—
974#3310—611no—
975#3310—611no—
976#3310—611no—
977#3310—611no—
978#3310—611no—
979#3310—611no—
980#3310—611no—
981#3310—611no—
982#3310—611no—
983#3310D6111yescharacteristic, direct product factor
984C2×#490—611no—
985C2×#482—611no—
986C2×#480—611no—
987C2×#478—611no—
988C2×#468—611no—
989C2×#465—611no—
990C2×#460—611no—
991C2×#450—611no—
992C2×#450—611no—
993C2×#440—611no—
994C2×#435—611no—
995C2×#418—611no—
996C22×#102—611no—
997C2×C61—22no—
998C2×C61—41no—
999C2×C61—42no—
1000C2×C61—81no—
1001C2×C61—81no—
1002C2×C61C2×#54611yescharacteristic
1003C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
1004C2×C61C2×#57711yescharacteristic
1005D61—22no—
1006D61—41no—
1007D61—42no—
1008D61—81no—
1009D61—81no—
1010D61#331014yesdirect product factor
1011C23×D4—611no—
1012C23×D4—611no—
1013C23×D4—1221no—
1014C22×SD16—611no—
1015C22×SD16—611no—
1016C22×SD16—611no—
1017C22×M16—611no—
1018C23×C8—611no—
1019#552—611no—
1020#552—611no—
1021#552—611no—
1022#552—611no—
1023#552—611no—
1024#552—611no—
1025#552—611no—
1026#552—1221no—
1027#552—1221no—
1028#552—1221no—
1029#552—1221no—
1030#552C2×D6111yescharacteristic, complemented
1031D42—611no—
1032D42—611no—
1033D42—611no—
1034D42—611no—
1035D42—611no—
1036D42—611no—
1037D42—611no—
1038D42—1221no—
1039D42—1221no—
1040D42—1221no—
1041D42—1221no—
1042D42C2×D6111yescharacteristic
1043C2×#127—611no—
1044C2×#126—1221no—
1045C2×#125—611no—
1046C2×#125—1221no—
1047C2×#123—1221no—
1048C2×C22⋊Q8—611no—
1049C2×C22⋊Q8—611no—
1050C2×#121—611no—
1051C2×#121—611no—
1052C2×#121—1221no—
1053C2×#120—1221no—
1054C2×#120—1221no—
1055C2×C4×Q8—611no—
1056C2×C4×D4—611no—
1057C2×C4×D4—611no—
1058C2×#117—611no—
1059C2×#117—1221no—
1060C22×C4⋊C4—611no—
1061#490—611no—
1062#490—611no—
1063#490—611no—
1064#490—611no—
1065#490—611no—
1066#490—611no—
1067#490—611no—
1068#490C2×D6111yescharacteristic, complemented
1069#482—611no—
1070#482—611no—
1071#482—611no—
1072#482—611no—
1073#482—611no—
1074#482—611no—
1075#482—611no—
1076#482C2×D6111yescharacteristic, complemented
1077#480—611no—
1078#480—611no—
1079#480—611no—
1080#480—611no—
1081#480—611no—
1082#480—611no—
1083#480—611no—
1084#480C2×D6111yescharacteristic, complemented
1085#478—611no—
1086#478—611no—
1087#478—611no—
1088#478—611no—
1089#478—611no—
1090#478—611no—
1091#478—611no—
1092#478C2×D6111yescharacteristic, complemented
1093#468—611no—
1094#468—611no—
1095#468—611no—
1096#468—611no—
1097#468—611no—
1098#468—611no—
1099#468—611no—
1100#468C2×D6111yescharacteristic, complemented
1101#465—611no—
1102#465—611no—
1103#465—611no—
1104#465—611no—
1105#465—611no—
1106#465—611no—
1107#465—611no—
1108#465C2×D6111yescharacteristic, complemented
1109#460—611no—
1110#460—611no—
1111#460—611no—
1112#460—611no—
1113#460—611no—
1114#460—611no—
1115#460—611no—
1116#460C2×D6111yescharacteristic, complemented
1117#450—611no—
1118#450—611no—
1119#450—611no—
1120#450—611no—
1121#450—611no—
1122#450—611no—
1123#450—611no—
1124#450—611no—
1125#450—611no—
1126#450—611no—
1127#450—611no—
1128#450—611no—
1129#450—611no—
1130#450—611no—
1131#450C2×D6111yescharacteristic, complemented
1132#450C2×D6111yescharacteristic, complemented
1133#440—611no—
1134#440—611no—
1135#440—611no—
1136#440—611no—
1137#440—611no—
1138#440—611no—
1139#440—611no—
1140#440C2×D6111yescharacteristic, complemented
1141#435—611no—
1142#435—611no—
1143#435—611no—
1144#435—611no—
1145#435—611no—
1146#435—611no—
1147#435—611no—
1148#435C2×D6111yescharacteristic, complemented
1149C2×#107—611no—
1150C2×#107—611no—
1151C2×#106—611no—
1152C2×C4⋊C8—611no—
1153#418—611no—
1154#418—611no—
1155#418—611no—
1156#418—611no—
1157#418—611no—
1158#418—611no—
1159#418—611no—
1160#418C2×D6111yescharacteristic, complemented
1161C2×#103—611no—
1162C2×#102—611no—
1163C2×#102—611no—
1164C2×#102—611no—
1165C2×#102—611no—
1166C2×#102—611no—
1167C2×#102—611no—
1168C2×#102—611no—
1169C2×#102—611no—
1170C2×#102—611no—
1171C2×#102—611no—
1172C2×#102—611no—
1173C2×#102—611no—
1174C2×#102—611no—
1175C2×#102—611no—
1176C2×#102—611no—
1177C2×#102—611no—
1178C2×#102C2×D6111yescharacteristic, complemented
1179C2×C22⋊C8—611no—
1180C2×C22⋊C8—611no—
1181C2×#97—611no—
1182C61C2×#331011yescharacteristic, complemented, Sylow
1183C25—1221no—
1184C25—1221no—
1185C22×Q8—611no—
1186C22×D4—21no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—611no—
1191C22×D4—611no—
1192C22×D4—611no—
1193C22×D4—611no—
1194C22×D4—611no—
1195C22×D4—611no—
1196C22×D4—611no—
1197C22×D4—1221no—
1198C22×D4—1221no—
1199C22×D4—1221no—
1200C22×D4—1221no—
1201C22×D4—1221no—
1202C22×D4—1221no—
1203C22×D4—1221no—
1204C22×D4—1221no—
1205C22×D4—1221no—
1206C22×D4—1224no—
1207C22×D4—1224no—
1208C22×D4—1221no—
1209C22×D4—1221no—
1210C22×D4—1221no—
1211C22×D4—1221no—
1212C22×D4—1221no—
1213C22×D4—1221no—
1214C22×D4—1221no—
1215C22×D4—1221no—
1216C22×D4—2442no—
1217C22×D4—2442no—
1218C22×D4—2448no—
1219C22×D4C22×D6111yescharacteristic
1220C22×D4C22×D6111yescharacteristic
1221C23×C4—611no—
1222C23×C4—611no—
1223C23×C4—1221no—
1224C23×C4—1221no—
1225C2×SD16—611no—
1226C2×SD16—611no—
1227C2×SD16—611no—
1228C2×SD16—611no—
1229C2×SD16—611no—
1230C2×SD16—611no—
1231C2×SD16—611no—
1232C2×SD16—611no—
1233C2×SD16—611no—
1234C2×SD16—1224no—
1235C2×SD16—2442no—
1236C2×SD16—2442no—
1237C2×SD16C22×D6111yescharacteristic
1238C2×SD16C22×D6111yescharacteristic, complemented
1239C2×SD16C22×D6111yescharacteristic, complemented
1240C2×M16—611no—
1241C2×M16—611no—
1242C2×M16—611no—
1243C2×M16—2442no—
1244C2×M16C22×D6111yescharacteristic, complemented
1245C22×C8—611no—
1246C22×C8—611no—
1247C22×C8—611no—
1248C22×C8—611no—
1249C22×C8—611no—
1250C22×C8—611no—
1251C22×C8—611no—
1252C22×C8—2442no—
1253C22×C8C22×D6111yescharacteristic, complemented
1254#127—611no—
1255#127—611no—
1256#127—611no—
1257#127—1221no—
1258#127—1221no—
1259#127C22×D6111yescharacteristic
1260#126—21no—
1261#126—1221no—
1262#126—1221no—
1263#126—1221no—
1264#126—1221no—
1265#126—1221no—
1266#126—1221no—
1267#126—1221no—
1268#125—21no—
1269#125—611no—
1270#125—611no—
1271#125—611no—
1272#125—1221no—
1273#125—1221no—
1274#125—1221no—
1275#125—1221no—
1276#125—1221no—
1277#125—1221no—
1278#125—1221no—
1279#125—1221no—
1280#125—1221no—
1281#125C22×D6111yescharacteristic, complemented
1282#123—21no—
1283#123—1221no—
1284#123—1221no—
1285#123—1221no—
1286#123—1221no—
1287#123—1221no—
1288#123—1221no—
1289#123—1221no—
1290C22⋊Q8—611no—
1291C22⋊Q8—611no—
1292C22⋊Q8—611no—
1293C22⋊Q8—611no—
1294C22⋊Q8—611no—
1295C22⋊Q8—611no—
1296C22⋊Q8—1221no—
1297C22⋊Q8—1221no—
1298C22⋊Q8—1221no—
1299C22⋊Q8—1221no—
1300C22⋊Q8C22×D6111yescharacteristic, complemented
1301C22⋊Q8C22×D6111yescharacteristic, complemented
1302#121—21no—
1303#121—611no—
1304#121—611no—
1305#121—611no—
1306#121—611no—
1307#121—611no—
1308#121—611no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121C22×D6111yescharacteristic
1321#121C22×D6111yescharacteristic
1322#120—21no—
1323#120—21no—
1324#120—1221no—
1325#120—1221no—
1326#120—1221no—
1327#120—1221no—
1328#120—1221no—
1329#120—1221no—
1330#120—1221no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337#120—1221no—
1338C4×Q8—611no—
1339C4×Q8—611no—
1340C4×Q8—611no—
1341C4×Q8—1221no—
1342C4×Q8—1221no—
1343C4×Q8C22×D6111yescharacteristic, complemented
1344C4×D4—611no—
1345C4×D4—611no—
1346C4×D4—611no—
1347C4×D4—611no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—611no—
1352C4×D4—611no—
1353C4×D4—611no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4C22×D6111yescharacteristic
1357C4×D4C22×D6111yescharacteristic
1358#117—21no—
1359#117—611no—
1360#117—611no—
1361#117—611no—
1362#117—1221no—
1363#117—1221no—
1364#117—1221no—
1365#117—1221no—
1366#117—1221no—
1367#117—1221no—
1368#117—1221no—
1369#117—1221no—
1370#117—1221no—
1371#117C22×D6111yescharacteristic, complemented
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—1221no—
1381C2×C4⋊C4—1221no—
1382C2×C4⋊C4—1221no—
1383C2×C4⋊C4—1221no—
1384C2×C4⋊C4—1221no—
1385C2×C4⋊C4—1221no—
1386C2×C4⋊C4—1221no—
1387C2×C4⋊C4—1221no—
1388C2×C4⋊C4C22×D6111yescharacteristic, complemented
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—1221no—
1392C2×C22⋊C4—1221no—
1393C2×C22⋊C4—1221no—
1394C2×C22⋊C4—1221no—
1395C2×C22⋊C4—1221no—
1396C2×C22⋊C4—1221no—
1397C2×C42—611no—
1398C2×C42—1221no—
1399C2×C42—1221no—
1400#107—611no—
1401#107—611no—
1402#107—611no—
1403#107—611no—
1404#107—611no—
1405#107—611no—
1406#107C22×D6111yescharacteristic, complemented
1407#107C22×D6111yescharacteristic, complemented
1408#106—611no—
1409#106—611no—
1410#106—611no—
1411#106C22×D6111yescharacteristic, complemented
1412C4⋊C8—611no—
1413C4⋊C8—611no—
1414C4⋊C8—611no—
1415C4⋊C8C22×D6111yescharacteristic, complemented
1416#103—611no—
1417#103—611no—
1418#103—611no—
1419#103C22×D6111yescharacteristic, complemented
1420#102—611no—
1421#102—611no—
1422#102—611no—
1423#102—611no—
1424#102—611no—
1425#102—611no—
1426#102—611no—
1427#102—611no—
1428#102—611no—
1429#102—611no—
1430#102—611no—
1431#102—611no—
1432#102—611no—
1433#102—611no—
1434#102—611no—
1435#102—611no—
1436#102—611no—
1437#102—611no—
1438#102—611no—
1439#102—611no—
1440#102—611no—
1441#102—611no—
1442#102—611no—
1443#102—611no—
1444#102—611no—
1445#102—611no—
1446#102—611no—
1447#102C22×D6111yescharacteristic
1448#102C22×D6111yescharacteristic
1449#102C22×D6111yescharacteristic
1450#102C22×D6111yescharacteristic, complemented
1451#102C22×D6111yescharacteristic, complemented
1452#102C22×D6111yescharacteristic, complemented
1453#102C22×D6111yescharacteristic, complemented
1454#102C22×D6111yescharacteristic, complemented
1455#102C22×D6111yescharacteristic, complemented
1456C22⋊C8—611no—
1457C22⋊C8—611no—
1458C22⋊C8—611no—
1459C22⋊C8—611no—
1460C22⋊C8—611no—
1461C22⋊C8—611no—
1462C22⋊C8C22×D6111yescharacteristic, complemented
1463C22⋊C8C22×D6111yescharacteristic, complemented
1464#97—611no—
1465#97—611no—
1466#97—611no—
1467#97C22×D6111yescharacteristic, complemented
1468C24—21no—
1469C24—21no—
1470C24—611no—
1471C24—611no—
1472C24—1221no—
1473C24—1221no—
1474C24—1221no—
1475C24—1221no—
1476C24—1221no—
1477C24—1221no—
1478C24—1221no—
1479C24—1221no—
1480C24—1221no—
1481C24—4882no—
1482C24—4882no—
1483C24—2444no—
1484C24—2444no—
1485C24—2444no—
1486C24—2444no—
1487C2×Q8—611no—
1488C2×Q8—1221no—
1489C2×Q8—1222no—
1490C2×Q8—1222no—
1491C2×Q8C23×D6111yescharacteristic
1492C2×D4—22no—
1493C2×D4—22no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—44no—
1503C2×D4—614no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—611no—
1508C2×D4—611no—
1509C2×D4—611no—
1510C2×D4—1222no—
1511C2×D4—1222no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1222no—
1515C2×D4—1222no—
1516C2×D4—1222no—
1517C2×D4—1222no—
1518C2×D4—1222no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1222no—
1531C2×D4—1222no—
1532C2×D4—1224no—
1533C2×D4—1222no—
1534C2×D4—1222no—
1535C2×D4—1221no—
1536C2×D4—1221no—
1537C2×D4—1221no—
1538C2×D4—1221no—
1539C2×D4—1221no—
1540C2×D4—1221no—
1541C2×D4—1221no—
1542C2×D4—1221no—
1543C2×D4—4882no—
1544C2×D4—2441no—
1545C2×D4—2441no—
1546C2×D4—2444no—
1547C2×D4—2441no—
1548C2×D4—2441no—
1549C2×D4—2441no—
1550C2×D4—2441no—
1551C2×D4—2444no—
1552C2×D4—2444no—
1553C2×D4—2444no—
1554C2×D4—2444no—
1555C2×D4—2444no—
1556C2×D4—2444no—
1557C2×D4—2444no—
1558C2×D4—2444no—
1559C2×D4—2444no—
1560C2×D4—2444no—
1561C2×D4—2444no—
1562C2×D4—2444no—
1563C2×D4—2444no—
1564C2×D4—2444no—
1565C2×D4—2444no—
1566C2×D4D4×D6111yescharacteristic
1567C2×D4C23×D6111yescharacteristic
1568C2×D4C23×D6111yescharacteristic
1569C2×D4C23×D6111yescharacteristic
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—611no—
1573C22×C4—611no—
1574C22×C4—611no—
1575C22×C4—611no—
1576C22×C4—611no—
1577C22×C4—611no—
1578C22×C4—611no—
1579C22×C4—611no—
1580C22×C4—611no—
1581C22×C4—611no—
1582C22×C4—611no—
1583C22×C4—1222no—
1584C22×C4—1222no—
1585C22×C4—1222no—
1586C22×C4—1222no—
1587C22×C4—1221no—
1588C22×C4—1221no—
1589C22×C4—1221no—
1590C22×C4—1221no—
1591C22×C4—1221no—
1592C22×C4—1221no—
1593C22×C4—1221no—
1594C22×C4—1221no—
1595C22×C4—1221no—
1596C22×C4—1221no—
1597C22×C4—1221no—
1598C22×C4—2444no—
1599C22×C4—2444no—
1600C22×C4C23×D6111yescharacteristic
1601C22×C4C23×D6111yescharacteristic
1602SD16—22no—
1603SD16—41no—
1604SD16—41no—
1605SD16—1222no—
1606SD16—1222no—
1607SD16—1222no—
1608SD16—2441no—
1609SD16—2441no—
1610SD16—2441no—
1611SD16—2441no—
1612SD16—2441no—
1613SD16—2441no—
1614M16—41no—
1615M16—2441no—
1616M16—2441no—
1617M16—2441no—
1618C2×C8—41no—
1619C2×C8—611no—
1620C2×C8—611no—
1621C2×C8—611no—
1622C2×C8—611no—
1623C2×C8—1222no—
1624C2×C8—1222no—
1625C2×C8—1222no—
1626C2×C8—1222no—
1627C2×C8—2441no—
1628C2×C8—2441no—
1629C2×C8—2441no—
1630C2×C8C23×D6111yescharacteristic
1631C2×C8C23×D6111yescharacteristic
1632C2×C8C23×D6111yescharacteristic
1633C2×C8C23×D6111yescharacteristic
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—611no—
1641C4⋊C4—611no—
1642C4⋊C4—611no—
1643C4⋊C4—611no—
1644C4⋊C4—611no—
1645C4⋊C4—611no—
1646C4⋊C4—611no—
1647C4⋊C4—1221no—
1648C4⋊C4—1221no—
1649C4⋊C4—1221no—
1650C4⋊C4—1221no—
1651C4⋊C4—1221no—
1652C4⋊C4—1221no—
1653C4⋊C4—1221no—
1654C4⋊C4—1221no—
1655C4⋊C4—1221no—
1656C4⋊C4—1221no—
1657C4⋊C4—1221no—
1658C4⋊C4—1221no—
1659C4⋊C4—1221no—
1660C4⋊C4—1221no—
1661C4⋊C4—1221no—
1662C4⋊C4—1221no—
1663C4⋊C4—1221no—
1664C4⋊C4—1221no—
1665C4⋊C4—1221no—
1666C4⋊C4—1221no—
1667C4⋊C4—1221no—
1668C4⋊C4—1221no—
1669C4⋊C4D4×D6111yescharacteristic
1670C4⋊C4C23×D6111yescharacteristic
1671C4⋊C4C23×D6111yescharacteristic
1672C4⋊C4C23×D6111yescharacteristic
1673C4⋊C4C23×D6111yescharacteristic
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—611no—
1681C22⋊C4—611no—
1682C22⋊C4—611no—
1683C22⋊C4—611no—
1684C22⋊C4—611no—
1685C22⋊C4—611no—
1686C22⋊C4—1221no—
1687C22⋊C4—1221no—
1688C22⋊C4—1221no—
1689C22⋊C4—1221no—
1690C22⋊C4—1221no—
1691C22⋊C4—1221no—
1692C22⋊C4—1221no—
1693C22⋊C4—1221no—
1694C22⋊C4—1221no—
1695C22⋊C4—1221no—
1696C22⋊C4—1221no—
1697C22⋊C4—1221no—
1698C22⋊C4—1221no—
1699C22⋊C4—1221no—
1700C22⋊C4—1221no—
1701C22⋊C4—1221no—
1702C22⋊C4—1221no—
1703C22⋊C4—1221no—
1704C22⋊C4D4×D6111yescharacteristic
1705C22⋊C4D4×D6111yescharacteristic
1706C42—21no—
1707C42—21no—
1708C42—611no—
1709C42—611no—
1710C42—611no—
1711C42—1221no—
1712C42—1221no—
1713C42—1221no—
1714C42—1221no—
1715C42—1221no—
1716C42—1221no—
1717C42C23×D6111yescharacteristic
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—81no—
1726C23—81no—
1727C23—611no—
1728C23—614no—
1729C23—611no—
1730C23—611no—
1731C23—1222no—
1732C23—1222no—
1733C23—1222no—
1734C23—1224no—
1735C23—1222no—
1736C23—1222no—
1737C23—1221no—
1738C23—1221no—
1739C23—1221no—
1740C23—4881no—
1741C23—4881no—
1742C23—4881no—
1743C23—4881no—
1744C23—4881no—
1745C23—4881no—
1746C23—48816no—
1747C23—48816no—
1748C23—2442no—
1749C23—2442no—
1750C23—2442no—
1751C23—2442no—
1752C23—2442no—
1753C23—2442no—
1754C23—2442no—
1755C23—2442no—
1756C23—2442no—
1757C23—2442no—
1758C23—2442no—
1759C23—2442no—
1760C23—2442no—
1761C23—2442no—
1762C23—2442no—
1763C23—2442no—
1764C23—2442no—
1765C23—2442no—
1766C23—2442no—
1767C23—2442no—
1768C23C2×D4×D6111yescharacteristic
1769C23C2×D4×D6111yescharacteristic
1770Q8—21no—
1771Q8—21no—
1772Q8—1221no—
1773Q8—1221no—
1774Q8—2442no—
1775D4—22no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—81no—
1787D4—612no—
1788D4—1222no—
1789D4—1224no—
1790D4—1222no—
1791D4—1222no—
1792D4—1221no—
1793D4—1221no—
1794D4—1221no—
1795D4—1221no—
1796D4—1221no—
1797D4—4881no—
1798D4—4881no—
1799D4—4881no—
1800D4—2442no—
1801D4—2442no—
1802D4—2442no—
1803D4—2442no—
1804D4—2442no—
1805D4—2442no—
1806D4—2442no—
1807D4—2442no—
1808D4—2442no—
1809D4—2442no—
1810D4—2442no—
1811D4—2442no—
1812D4—2442no—
1813D4—2442no—
1814D4—2442no—
1815D4—2442no—
1816D4—2442no—
1817D4#41×D6112yes—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—42no—
1828C2×C4—42no—
1829C2×C4—611no—
1830C2×C4—612no—
1831C2×C4—612no—
1832C2×C4—611no—
1833C2×C4—611no—
1834C2×C4—611no—
1835C2×C4—611no—
1836C2×C4—1222no—
1837C2×C4—1222no—
1838C2×C4—1222no—
1839C2×C4—1222no—
1840C2×C4—1222no—
1841C2×C4—1222no—
1842C2×C4—1222no—
1843C2×C4—1222no—
1844C2×C4—1221no—
1845C2×C4—1221no—
1846C2×C4—1221no—
1847C2×C4—1221no—
1848C2×C4—1221no—
1849C2×C4—1221no—
1850C2×C4—1221no—
1851C2×C4—1221no—
1852C2×C4—1221no—
1853C2×C4—2442no—
1854C2×C4—2442no—
1855C2×C4—2442no—
1856C2×C4—2442no—
1857C2×C4—2442no—
1858C2×C4—2442no—
1859C2×C4—2442no—
1860C2×C4—2442no—
1861C2×C4—2442no—
1862C2×C4—2442no—
1863C2×C4—2442no—
1864C2×C4C2×D4×D6111yescharacteristic
1865C2×C4C2×D4×D6111yescharacteristic
1866C2×C4C2×D4×D6111yescharacteristic
1867C2×C4C2×D4×D6111yescharacteristic
1868C2×C4C24×D6111yescharacteristic
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C8—21no—
1873C8—1221no—
1874C8—1221no—
1875C8—1221no—
1876C8—1221no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—22no—
1881C22—21no—
1882C22—21no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—84no—
1892C22—84no—
1893C22—612no—
1894C22—612no—
1895C22—612no—
1896C22—612no—
1897C22—1228no—
1898C22—1221no—
1899C22—1221no—
1900C22—1221no—
1901C22—1222no—
1902C22—1221no—
1903C22—1221no—
1904C22—4884no—
1905C22—4884no—
1906C22—4884no—
1907C22—4884no—
1908C22—4884no—
1909C22—4884no—
1910C22—4884no—
1911C22—4884no—
1912C22—2444no—
1913C22—2448no—
1914C22—2441no—
1915C22—2441no—
1916C22—2441no—
1917C22—2441no—
1918C22—2441no—
1919C22—2441no—
1920C22—2441no—
1921C22—2441no—
1922C22AGL(1,ℤ/8)×D6112yes—
1923C22C22×D4×D6111yescharacteristic
1924C4—21no—
1925C4—21no—
1926C4—21no—
1927C4—21no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—612no—
1934C4—1221no—
1935C4—1221no—
1936C4—1221no—
1937C4—1221no—
1938C4—2441no—
1939C4—2441no—
1940C4—2441no—
1941C4—2441no—
1942C4—2441no—
1943C4C2×#41×D6111yescharacteristic
1944C4H(5,𝔽2)×D6111yescharacteristic
1945C2—22no—
1946C2—41no—
1947C2—42no—
1948C2—81no—
1949C2—81no—
1950C2—614no—
1951C2—1222no—
1952C2—4881no—
1953C2—4881no—
1954C2—2441no—
1955C2—2442no—
1956C2#546×D6111yescharacteristic
1957C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1958C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3310C2
socleC22×C61C23×D4
prime radicalD42×D61C2
hypercenter#3310D61
hypocenterC61C2×#3310
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #552×D61C2semidirect
3. #21457847C2semidirect
4. #21457846C2semidirect
5. #21457845C2semidirect
6. #21457844C2semidirect
7. #21457843C2semidirect
8. #21457842C2semidirect
9. #21457841C2semidirect
10. #21457840C2semidirect
11. #21457839C2semidirect
12. #21457838C2semidirect
13. #21457837C2semidirect
14. #21457836C2semidirect
15. #21457835C2semidirect
16. #21457834C2semidirect
17. #21457833C2semidirect
18. #490×D61C2semidirect
19. #482×D61C2semidirect
20. #480×D61C2semidirect
21. #478×D61C2semidirect
22. #468×D61C2semidirect
23. #465×D61C2semidirect
24. #460×D61C2semidirect
25. #450×D61C2semidirect
26. #450×D61C2semidirect
27. #440×D61C2semidirect
28. #435×D61C2semidirect
29. #418×D61C2semidirect
30. C2×#102×D61C2semidirect
31. C61×#3310C2semidirect
36. C2×SD16×D61C22semidirect
37. C2×SD16×D61C22semidirect
38. C2×M16×D61C22semidirect
39. C22×C8×D61C22semidirect
40. #16840454C22semidirect
41. #16840453C22semidirect
42. #16840452C22semidirect
43. #16840451C22semidirect
44. #16840450C22semidirect
47. #16840447C22semidirect
48. #16840446C22semidirect
65. #125×D61C22semidirect
67. C22⋊Q8×D61C22semidirect
68. C22⋊Q8×D61C22semidirect
74. C4×Q8×D61C22semidirect
78. #117×D61C22semidirect
79. C2×C4⋊C4×D61C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840126C22semidirect
83. #16840125C22semidirect
84. #16840125C22semidirect
85. #16840125C22semidirect
86. #16840125C22semidirect
87. #16840089C22semidirect
88. #16840088C22semidirect
89. #16840087C22semidirect
90. #16840086C22semidirect
91. #16840085C22semidirect
92. #16840084C22semidirect
93. #16840083C22semidirect
94. #16840077C22semidirect
95. #16840077C22semidirect
96. #16840076C22semidirect
97. #16840075C22semidirect
98. #16840074C22semidirect
99. #16840074C22semidirect
100. #16840073C22semidirect
101. #16840065C22semidirect
102. #16840064C22semidirect
103. #16840063C22semidirect
104. #16840062C22semidirect
105. #16840061C22semidirect
106. #16840060C22semidirect
107. #16840059C22semidirect
108. #16840011C22semidirect
109. #16840010C22semidirect
110. #16840009C22semidirect
111. #16840008C22semidirect
112. #16840007C22semidirect
113. #16840006C22semidirect
114. #16840005C22semidirect
115. #16839994C22semidirect
116. #16839993C22semidirect
117. #16839992C22semidirect
118. #16839991C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839963C22semidirect
123. #16839962C22semidirect
124. #16839961C22semidirect
125. #16839961C22semidirect
126. #16839960C22semidirect
127. #16839960C22semidirect
128. #16839959C22semidirect
129. #16839915C22semidirect
130. #16839915C22semidirect
131. #16839914C22semidirect
132. #16839914C22semidirect
133. #16839914C22semidirect
134. #16839914C22semidirect
135. #16839913C22semidirect
136. #16839913C22semidirect
137. #16839912C22semidirect
138. #16839912C22semidirect
139. #16839911C22semidirect
140. #16839911C22semidirect
141. #16839911C22semidirect
142. #16839911C22semidirect
143. #16839865C22semidirect
144. #16839864C22semidirect
145. #16839863C22semidirect
146. #16839862C22semidirect
147. #16839861C22semidirect
148. #16839860C22semidirect
149. #16839859C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #107×D61C22semidirect
158. #107×D61C22semidirect
159. #106×D61C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839768C22semidirect
162. #16839767C22semidirect
163. #16839766C22semidirect
164. #16839765C22semidirect
165. #16839765C22semidirect
166. #16839765C22semidirect
167. #16839765C22semidirect
168. #103×D61C22semidirect
169. C2×#14519699C22semidirect
170. C2×#14519698C22semidirect
171. C2×#14519697C22semidirect
175. #102×D61C22semidirect
176. #102×D61C22semidirect
177. #102×D61C22semidirect
178. #102×D61C22semidirect
179. #102×D61C22semidirect
180. #102×D61C22semidirect
181. #102×D61C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. C22⋊C8×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. #97×D61C22semidirect
188. C61×#552C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#480C22semidirect
193. C61×#478C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#460C22semidirect
197. C61×#450C22semidirect
198. C61×#450C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#418C22semidirect
202. C2×#102×C61C22semidirect
243. C2×#11758190C23semidirect
244. C2×#11758190C23semidirect
246. C2×#11758200C23semidirect
247. C2×#11758200C23semidirect
249. C2×#11758201C23semidirect
250. C2×#11758201C23semidirect
254. C2×#11758194C23semidirect
255. C2×#11758189C23semidirect
256. C2×#11758189C23semidirect
258. C22×#92418C23semidirect
264. C2×C8×D61C23semidirect
265. C2×C8×D61C23semidirect
279. #14519769C23semidirect
282. #14519768C23semidirect
283. #14519768C23semidirect
297. #14519757C23semidirect
298. #14519757C23semidirect
299. #14519756C23semidirect
300. #14519756C23semidirect
305. #14519753C23semidirect
306. #14519753C23semidirect
338. Q8×Dic61C23semidirect
340. C4×Dic122C23semidirect
342. #14519742C23semidirect
356. #14519736C23semidirect
359. #14519735C23semidirect
360. #14519735C23semidirect
367. C2×C4⋊Dic61C23semidirect
381. C4⋊C4×D61C23semidirect
382. C4⋊C4×D61C23semidirect
394. #14519711C23semidirect
395. #14519711C23semidirect
396. #14519710C23semidirect
397. #14519710C23semidirect
398. #14519710C23semidirect
399. #14519710C23semidirect
400. #14519709C23semidirect
401. #14519708C23semidirect
402. #14519708C23semidirect
403. C4⋊#92418C23semidirect
404. #14519706C23semidirect
405. #14519706C23semidirect
406. #14519702C23semidirect
407. #14519701C23semidirect
408. #14519700C23semidirect
412. #14519699C23semidirect
413. #14519699C23semidirect
414. #14519699C23semidirect
415. #14519699C23semidirect
416. #14519699C23semidirect
417. #14519699C23semidirect
421. #14519698C23semidirect
422. #14519698C23semidirect
423. #14519698C23semidirect
424. #14519698C23semidirect
425. #14519698C23semidirect
426. #14519698C23semidirect
430. #14519697C23semidirect
431. #14519697C23semidirect
432. #14519697C23semidirect
433. #14519697C23semidirect
434. #14519697C23semidirect
435. #14519697C23semidirect
436. C22⋊#92418C23semidirect
437. C22⋊#92418C23semidirect
438. #14519689C23semidirect
439. #14519689C23semidirect
440. #14519689C23semidirect
441. #14519689C23semidirect
442. #14519688C23semidirect
443. #14519687C23semidirect
444. #14519687C23semidirect
449. C2×SD16×C61C23semidirect
450. C2×SD16×C61C23semidirect
451. C2×M16×C61C23semidirect
452. C22×C8×C61C23semidirect
456. #125×C61C23semidirect
458. C22⋊Q8×C61C23semidirect
459. C22⋊Q8×C61C23semidirect
465. C4×Q8×C61C23semidirect
469. #117×C61C23semidirect
470. C2×C4⋊C4×C61C23semidirect
471. #107×C61C23semidirect
472. #107×C61C23semidirect
473. #106×C61C23semidirect
474. C4⋊C8×C61C23semidirect
475. #103×C61C23semidirect
479. #102×C61C23semidirect
480. #102×C61C23semidirect
481. #102×C61C23semidirect
482. #102×C61C23semidirect
483. #102×C61C23semidirect
484. #102×C61C23semidirect
485. C22⋊C8×C61C23semidirect
486. C22⋊C8×C61C23semidirect
487. #97×C61C23semidirect
983. #3310D61direct (N × H)
1010. D61#3310direct (N × H)
1030. #552C2×D61semidirect
1068. #490C2×D61semidirect
1076. #482C2×D61semidirect
1084. #480C2×D61semidirect
1092. #478C2×D61semidirect
1100. #468C2×D61semidirect
1108. #465C2×D61semidirect
1116. #460C2×D61semidirect
1131. #450C2×D61semidirect
1132. #450C2×D61semidirect
1140. #440C2×D61semidirect
1148. #435C2×D61semidirect
1160. #418C2×D61semidirect
1178. C2×#102C2×D61semidirect
1182. C61C2×#3310semidirect
1238. C2×SD16C22×D61semidirect
1239. C2×SD16C22×D61semidirect
1244. C2×M16C22×D61semidirect
1253. C22×C8C22×D61semidirect
1281. #125C22×D61semidirect
1300. C22⋊Q8C22×D61semidirect
1301. C22⋊Q8C22×D61semidirect
1343. C4×Q8C22×D61semidirect
1371. #117C22×D61semidirect
1388. C2×C4⋊C4C22×D61semidirect
1406. #107C22×D61semidirect
1407. #107C22×D61semidirect
1411. #106C22×D61semidirect
1415. C4⋊C8C22×D61semidirect
1419. #103C22×D61semidirect
1450. #102C22×D61semidirect
1451. #102C22×D61semidirect
1452. #102C22×D61semidirect
1453. #102C22×D61semidirect
1454. #102C22×D61semidirect
1455. #102C22×D61semidirect
1462. C22⋊C8C22×D61semidirect
1463. C22⋊C8C22×D61semidirect
1467. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
#552×D612
D42×D612
#214578472
#214578462
#214578452
#214578442
#214578432
#214578422
#214578412
#214578402
#214578392
#214578382
#214578372
#214578362
#214578352
#214578342
#214578332
#490×D612
#482×D612
#480×D612
#478×D612
#468×D612
#465×D612
#460×D612
#450×D612
#440×D612
#435×D612
#418×D612
C2×#102×D612
C61×#33102
C2×#331061