Finite Group Databasebeta

← #30556991

Subgroups — #30556991

Order 15616.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459372C211yesmaximal, characteristic, complemented
2D42×D61C211yesmaximal, characteristic, complemented
3#21458059C211yesmaximal, characteristic, complemented
4#21458057C211yesmaximal, characteristic, complemented
5#21458045C211yesmaximal, characteristic, complemented
6#21458043C211yesmaximal, characteristic, complemented
7#21457962C211yesmaximal, characteristic, complemented
8#21457960C211yesmaximal, characteristic, complemented
9#21457959C211yesmaximal, characteristic, complemented
10#21457957C211yesmaximal, characteristic, complemented
11#21457847C211yesmaximal, characteristic, complemented
12#21457845C211yesmaximal, characteristic, complemented
13#21457834C211yesmaximal, characteristic, complemented
14#21457638C211yesmaximal, characteristic, complemented
15#21457636C211yesmaximal, characteristic, complemented
16#21457630C211yesmaximal, characteristic, complemented
17#21457628C211yesmaximal, characteristic, complemented
18#21456192C211yesmaximal, characteristic, complemented
19#21455758C211yesmaximal, characteristic, complemented
20#21455754C211yesmaximal, characteristic, complemented
21#21455614C211yesmaximal, characteristic, complemented
22#21455433C211yesmaximal, characteristic, complemented
23#21455431C211yesmaximal, characteristic, complemented
24#21455296C211yesmaximal, characteristic, complemented
25#21455047C211yesmaximal, characteristic, complemented
26#21455047C211yesmaximal, characteristic, complemented
27#21454624C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29C2×#16839765C211yesmaximal, characteristic, complemented
30#418×D61C211yesmaximal, characteristic, complemented
31C61×#3310C211yesmaximal, characteristic, complemented
32C22×D4×D61—21no—
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C2×#14519804C2211yescharacteristic
36C2×#14519804C2211yescharacteristic, complemented
37C2×#14519804C2211yescharacteristic, complemented
38C22×#11758189C2211yescharacteristic, complemented
39C2×M16×D61C2211yescharacteristic, complemented
40#16840483C2211yescharacteristic, complemented
41#16840475C2211yescharacteristic, complemented
42#16840470C2211yescharacteristic, complemented
43#16840465C2211yescharacteristic, complemented
44#16840458C2211yescharacteristic, complemented
45#16840453C2211yescharacteristic, complemented
46#16840444—21no—
47#16840437—21no—
48#16840436—21no—
49#16840413C2211yescharacteristic, complemented
50#16840404—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#16840318C2211yescharacteristic, complemented
63#127×D61C2211yescharacteristic
64#16840297—21no—
65#16840295—21no—
66#16840289—21no—
67#16840275C2211yescharacteristic, complemented
68#16840275C2211yescharacteristic, complemented
69#121×D61—21no—
70#121×D61C2211yescharacteristic
71#121×D61C2211yescharacteristic
72#120×D61—21no—
73#120×D61—21no—
74C4×#11758226C2211yescharacteristic, complemented
75#16840230—21no—
76C4×D4×D61C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840107C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840089C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840086C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic, complemented
93#16840083C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840078C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840059C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840050C2211yescharacteristic, complemented
106#16840041C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840016C2211yescharacteristic, complemented
109#16840015C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16839999C2211yescharacteristic, complemented
116#16839998C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839996C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839962C2211yescharacteristic, complemented
123#16839960C2211yescharacteristic, complemented
124#16839960C2211yescharacteristic, complemented
125#16839958C2211yescharacteristic, complemented
126#16839956C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839954C2211yescharacteristic, complemented
129#16839912C2211yescharacteristic, complemented
130#16839912C2211yescharacteristic, complemented
131#16839911C2211yescharacteristic, complemented
132#16839911C2211yescharacteristic, complemented
133#16839911C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839898C2211yescharacteristic, complemented
136#16839898C2211yescharacteristic, complemented
137#16839897C2211yescharacteristic, complemented
138#16839897C2211yescharacteristic, complemented
139#16839897C2211yescharacteristic, complemented
140#16839897C2211yescharacteristic, complemented
141#16839896C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839875C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic, complemented
145#16839860C2211yescharacteristic, complemented
146SD16×Dic61C2211yescharacteristic, complemented
147#16839847C2211yescharacteristic, complemented
148#16839844C2211yescharacteristic, complemented
149#16839842C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic, complemented
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#16839803C2211yescharacteristic, complemented
159#16839801C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839768C2211yescharacteristic, complemented
162#16839767C2211yescharacteristic, complemented
163#16839766C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic
165#16839765C2211yescharacteristic
166#16839765C2211yescharacteristic
167#16839765C2211yescharacteristic, complemented
168#16839765C2211yescharacteristic, complemented
169#16839765C2211yescharacteristic, complemented
170#16839765C2211yescharacteristic, complemented
171#16839765C2211yescharacteristic, complemented
172#16839765C2211yescharacteristic, complemented
173#16839765C2211yescharacteristic, complemented
174#16839765C2211yescharacteristic, complemented
175#16839765C2211yescharacteristic, complemented
176#16839765C2211yescharacteristic, complemented
177#16839762C2211yescharacteristic, complemented
178C2×#14519699C2211yescharacteristic, complemented
179C2×#14519698C2211yescharacteristic, complemented
180C2×#14519697C2211yescharacteristic, complemented
181#102×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187#16839714C2211yescharacteristic, 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×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C22×D244—21no—
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×C22⋊D61—21no—
211C22×C22⋊D61—21no—
212C22×C22⋊D61—21no—
213C22×C22⋊D61—21no—
214C2×D4×D61—24no—
215C2×D4×D61—24no—
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—21no—
228C2×D4×D61—42no—
229C2×D4×D61—42no—
230C2×D4×D61—48no—
231C2×D4×D61D411yescharacteristic
232C2×D4×D61C2311yescharacteristic
233C2×D4×D61C2311yescharacteristic
234C2×D4×D61C2311yescharacteristic
235C2×D4×D61C2311yescharacteristic
236C2×D4×D61C2311yescharacteristic
237C2×D4×D61C2311yescharacteristic
238C2×D4×D61C2311yescharacteristic
239C22×C4×D61—21no—
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242#14519804—24no—
243#14519804—42no—
244#14519804—42no—
245C2×#11758201C2311yescharacteristic
246C2×#11758201C2311yescharacteristic, complemented
247C2×#11758201C2311yescharacteristic, complemented
248C2×D488C2311yescharacteristic
249C2×D488C2311yescharacteristic, complemented
250C2×D488C2311yescharacteristic, complemented
251C2×#11758199C2311yescharacteristic
252C2×#11758199C2311yescharacteristic, complemented
253C2×#11758199C2311yescharacteristic, complemented
254C2×#11758194C2311yescharacteristic, complemented
255C2×#11758189—42no—
256C2×#11758189C2311yescharacteristic
257C2×#11758189C2311yescharacteristic
258C2×#11758189C2311yescharacteristic
259C2×#11758189C2311yescharacteristic
260C2×#11758189C2311yescharacteristic, complemented
261C2×#11758189C2311yescharacteristic, complemented
262M16×D61—42no—
263C22×#92418C2311yescharacteristic, complemented
264C2×C8×D61C2311yescharacteristic, complemented
265C2×C8×D61C2311yescharacteristic, complemented
266#14519776C2311yescharacteristic, complemented
267#14519776C2311yescharacteristic, complemented
268#14519774C2311yescharacteristic
269#14519773—21no—
270#14519773—21no—
271#14519773C2311yescharacteristic
272#14519773C2311yescharacteristic
273#14519772—21no—
274#14519772—21no—
275#14519772—21no—
276#14519771—21no—
277#14519770—21no—
278#14519769C2311yescharacteristic, complemented
279#14519767—21no—
280#14519767—21no—
281#14519765—21no—
282#14519763—21no—
283#14519763—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519760—21no—
290#14519759—21no—
291#14519757—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519754—21no—
296#14519753C2311yescharacteristic, complemented
297#14519753C2311yescharacteristic, complemented
298#14519752—21no—
299#14519752—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic, complemented
303#14519752C2311yescharacteristic, complemented
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic, complemented
308#14519751C2311yescharacteristic, complemented
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519748—21no—
320#14519748C2311yescharacteristic
321#14519748C2311yescharacteristic
322#14519747—21no—
323#14519747—21no—
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
339#14519742—21no—
340#14519742—21no—
341#14519742—21no—
342C4×D244—21no—
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic, complemented
346D4×Dic61D411yescharacteristic
347D4×Dic61C2311yescharacteristic
348#14519739—21no—
349#14519739—21no—
350#14519739—21no—
351#14519739—21no—
352#14519739D411yescharacteristic
353#14519739C2311yescharacteristic
354#14519739C2311yescharacteristic, complemented
355C4×C22⋊D61—21no—
356C4×C22⋊D61C2311yescharacteristic
357C4×C22⋊D61C2311yescharacteristic
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737D411yescharacteristic
364#14519737D411yescharacteristic
365#14519736C2311yescharacteristic, complemented
366#14519735—21no—
367#14519735—21no—
368#14519735—21no—
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic, complemented
373#14519735C2311yescharacteristic, complemented
374#14519734—21no—
375#14519734—21no—
376#14519734—21no—
377#14519733—21no—
378C2×C4⋊Dic61C2311yescharacteristic, complemented
379C4⋊C4×D61D411yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic, complemented
382C4⋊C4×D61C2311yescharacteristic, complemented
383C2×#11758198—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61D411yescharacteristic
389C22⋊C4×D61D411yescharacteristic
390C2×C4×Dic61—21no—
391C42×D61—21no—
392C42×D61—21no—
393C42×D61C2311yescharacteristic
394#14519711C2311yescharacteristic, complemented
395#14519710C2311yescharacteristic, complemented
396#14519710C2311yescharacteristic, complemented
397#14519710C2311yescharacteristic, complemented
398#14519709C2311yescharacteristic, complemented
399#14519709C2311yescharacteristic, complemented
400#14519708C2311yescharacteristic, complemented
401#14519708C2311yescharacteristic, complemented
402#14519708C2311yescharacteristic, complemented
403C4⋊#92418C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519706C2311yescharacteristic, complemented
406#14519701C2311yescharacteristic, complemented
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic, complemented
411#14519699C2311yescharacteristic, complemented
412#14519699C2311yescharacteristic, complemented
413#14519699C2311yescharacteristic, complemented
414#14519699C2311yescharacteristic, complemented
415#14519699C2311yescharacteristic, complemented
416#14519699C2311yescharacteristic, complemented
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic, complemented
421#14519698C2311yescharacteristic, complemented
422#14519698C2311yescharacteristic, complemented
423#14519698C2311yescharacteristic, complemented
424#14519698C2311yescharacteristic, complemented
425#14519698C2311yescharacteristic, complemented
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic, complemented
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
443C8×Dic61C2311yescharacteristic, complemented
444C8×Dic61C2311yescharacteristic, 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—21no—
543C2×C22⋊D61—21no—
544C2×C22⋊D61—44no—
545C2×C22⋊D61—44no—
546C2×C22⋊D61—44no—
547C2×C22⋊D61—44no—
548C2×C22⋊D61C2×D411yescharacteristic
549C2×C22⋊D61C2×D411yescharacteristic
550C22×Dic61—21no—
551C22×Dic61—21no—
552C22×Dic61C2×D411yescharacteristic
553C22×Dic61C2×D411yescharacteristic
554#11758226—22no—
555#11758226—22no—
556D4×D61—24no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—22no—
560D4×D61—22no—
561D4×D61—22no—
562D4×D61—22no—
563D4×D61—22no—
564D4×D61—22no—
565D4×D61—22no—
566D4×D61—41no—
567D4×D61—41no—
568D4×D61—41no—
569D4×D61—41no—
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—44no—
580D4×D61—44no—
581D4×D61—82no—
582D4×D61#4114yescomplemented
583#11758222—44no—
584C2×D244—22no—
585C2×D244—22no—
586C2×D244—21no—
587C2×D244—21no—
588C2×D244—21no—
589C2×D244—21no—
590C2×D244—21no—
591C2×D244—21no—
592C2×D244—21no—
593C2×D244—21no—
594C2×D244—21no—
595C2×D244—41no—
596C2×D244—41no—
597C2×D244—44no—
598C2×D244C2×D411yescharacteristic
599C2×D244C2411yescharacteristic
600C2×D244C2411yescharacteristic
601C2×D244C2411yescharacteristic
602C2×D244C2411yescharacteristic
603C2×C4×D61—22no—
604C2×C4×D61—22no—
605C2×C4×D61—22no—
606C2×C4×D61—22no—
607C2×C4×D61—21no—
608C2×C4×D61—21no—
609C2×C4×D61—21no—
610C2×C4×D61—21no—
611C2×C4×D61—21no—
612C2×C4×D61—21no—
613C2×C4×D61—21no—
614C2×C4×D61—21no—
615C2×C4×D61—44no—
616C2×C4×D61C2×D411yescharacteristic
617C2×C4×D61C2×D411yescharacteristic
618C2×C4×D61C2×D411yescharacteristic
619C2×C4×D61C2×D411yescharacteristic
620C2×C4×D61C2×D411yescharacteristic
621C2×C4×D61C2×D411yescharacteristic
622C2×C4×D61C2411yescharacteristic
623C2×C4×D61C2411yescharacteristic
624C2×C4×D61C2411yescharacteristic
625C2×Dic122—21no—
626C2×Dic122—21no—
627SD16×C61—22no—
628SD16×C61—41no—
629SD16×C61—41no—
630M16×C61—41no—
631C2×C8×C61—41no—
632C2×C8×C61C2411yescharacteristic
633C2×C8×C61C2411yescharacteristic
634C2×C8×C61C2411yescharacteristic
635C2×C8×C61C2411yescharacteristic
636C4⋊C4×C61—21no—
637C4⋊C4×C61—21no—
638C4⋊C4×C61—21no—
639C4⋊C4×C61—21no—
640C4⋊C4×C61—21no—
641C4⋊C4×C61—21no—
642C4⋊C4×C61C2×D411yescharacteristic
643C4⋊C4×C61C2411yescharacteristic
644C4⋊C4×C61C2411yescharacteristic
645C4⋊C4×C61C2411yescharacteristic
646C4⋊C4×C61C2411yescharacteristic
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61C2×D411yescharacteristic
654C22⋊C4×C61C2×D411yescharacteristic
655C42×C61—21no—
656C42×C61—21no—
657C42×C61C2411yescharacteristic
658C22⋊Dic61—21no—
659C22⋊Dic61—21no—
660C22⋊Dic61—21no—
661C22⋊Dic61—21no—
662C22⋊Dic61C2×D411yescharacteristic
663C22⋊Dic61C2×D411yescharacteristic
664#11758201—22no—
665#11758201—41no—
666#11758201—41no—
667#11758199—22no—
668#11758199—41no—
669#11758199—41no—
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#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198C2×D411yescharacteristic
690#11758198C2×D411yescharacteristic
691#11758198C2×D411yescharacteristic
692#11758198C2×D411yescharacteristic
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61C2×D411yescharacteristic
696C4⋊Dic61C2411yescharacteristic
697C4⋊Dic61C2411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
699C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
710#11758196C2×D411yescharacteristic
711C4×Dic61—21no—
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
727D488—22no—
728D488—41no—
729D488—41no—
730#11758189—22no—
731#11758189—22no—
732#11758189—22no—
733#11758189—22no—
734#11758189—41no—
735#11758189—41no—
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—21no—
751C22×D61—22no—
752C22×D61—22no—
753C22×D61—24no—
754C22×D61—22no—
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—41no—
759C22×D61—41no—
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—42no—
779C22×D61—42no—
780C22×D61—81no—
781C22×D61—81no—
782C22×D61—81no—
783C22×D61—81no—
784C22×D61—81no—
785C22×D61—81no—
786C22×D61—816no—
787C22×D61—816no—
788C22×D61C22×D411yescharacteristic
789C22×D61C22×D411yescharacteristic
790C22×D61C22×D411yescharacteristic
791Q8×C61—21no—
792Q8×C61—21no—
793D4×C61—22no—
794D4×C61—21no—
795D4×C61—21no—
796D4×C61—21no—
797D4×C61—21no—
798D4×C61—21no—
799D4×C61—42no—
800D4×C61—42no—
801D4×C61—42no—
802D4×C61—42no—
803D4×C61—42no—
804D4×C61—81no—
805D4×C61C2×#4112yes—
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—21no—
815C2×C4×C61—42no—
816C2×C4×C61—42no—
817C2×C4×C61C22×D411yescharacteristic
818C2×C4×C61C22×D411yescharacteristic
819C2×C4×C61C22×D411yescharacteristic
820C2×C4×C61C22×D411yescharacteristic
821C2×C4×C61C2511yescharacteristic
822C22⋊D61—24no—
823C22⋊D61—22no—
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—42no—
837C22⋊D61—81no—
838C22⋊D61—81no—
839C22⋊D61—81no—
840C22⋊D61AGL(1,ℤ/8)14yescomplemented
841C2×Dic61—22no—
842C2×Dic61—22no—
843C2×Dic61—21no—
844C2×Dic61—21no—
845C2×Dic61—21no—
846C2×Dic61—21no—
847C2×Dic61—42no—
848C2×Dic61—81no—
849C2×Dic61C22×D411yescharacteristic
850C2×Dic61C22×D411yescharacteristic
851C2×Dic61C22×D411yescharacteristic
852C2×Dic61C22×D411yescharacteristic
853C2×Dic61C22×D411yescharacteristic
854D244—22no—
855D244—21no—
856D244—21no—
857D244—21no—
858D244—21no—
859D244—21no—
860D244—21no—
861D244—21no—
862D244—42no—
863D244—42no—
864D244—42no—
865D244—42no—
866D244—42no—
867D244—42no—
868D244—42no—
869D244—81no—
870D244—81no—
871D244C2×#4112yes—
872C4×D61—22no—
873C4×D61—22no—
874C4×D61—21no—
875C4×D61—21no—
876C4×D61—21no—
877C4×D61—21no—
878C4×D61—22no—
879C4×D61—22no—
880C4×D61—22no—
881C4×D61—41no—
882C4×D61—42no—
883C4×D61—42no—
884C4×D61—42no—
885C4×D61—42no—
886C4×D61—42no—
887C4×D61—42no—
888C4×D61—81no—
889C4×D61—81no—
890C4×D61C2×#4112yes—
891C4×D61H(5,𝔽2)12yes—
892Dic122—42no—
893Dic122—81no—
894C8×C61—21no—
895C8×C61—21no—
896C8×C61—21no—
897C8×C61—21no—
898#92418—21no—
899#92418—21no—
900#92418—21no—
901#92418—21no—
902#61155—611nomaximal, Sylow
903C22×C61—21no—
904C22×C61—21no—
905C22×C61—21no—
906C22×C61—21no—
907C22×C61—22no—
908C22×C61—21no—
909C22×C61—41no—
910C22×C61—41no—
911C22×C61—41no—
912C22×C61—41no—
913C22×C61—41no—
914C22×C61—41no—
915C22×C61—41no—
916C22×C61—41no—
917C22×C61—84no—
918C22×C61—84no—
919C22×C61C2×AGL(1,ℤ/8)12yes—
920C22×C61C23×D411yescharacteristic
921C2×D61—21no—
922C2×D61—21no—
923C2×D61—21no—
924C2×D61—21no—
925C2×D61—21no—
926C2×D61—21no—
927C2×D61—22no—
928C2×D61—21no—
929C2×D61—44no—
930C2×D61—44no—
931C2×D61—48no—
932C2×D61—41no—
933C2×D61—41no—
934C2×D61—41no—
935C2×D61—41no—
936C2×D61—41no—
937C2×D61—41no—
938C2×D61—41no—
939C2×D61—41no—
940C2×D61—41no—
941C2×D61—41no—
942C2×D61—41no—
943C2×D61—84no—
944C2×D61—84no—
945C2×D61—84no—
946C2×D61—84no—
947C2×D61—84no—
948C2×D61—84no—
949C2×D61—84no—
950C2×D61—84no—
951C2×D61#54612yes—
952C2×D61C2×AGL(1,ℤ/8)12yes—
953C4×C61—21no—
954C4×C61—21no—
955C4×C61—21no—
956C4×C61—21no—
957C4×C61—41no—
958C4×C61—41no—
959C4×C61—41no—
960C4×C61—41no—
961C4×C61—41no—
962C4×C61C22×#4111yescharacteristic
963C4×C61C2×H(5,𝔽2)11yescharacteristic
964Dic61—21no—
965Dic61—21no—
966Dic61—21no—
967Dic61—41no—
968Dic61—41no—
969Dic61—41no—
970Dic61—41no—
971Dic61#54612yes—
972Dic61C2×AGL(1,ℤ/8)12yes—
973#3475—611no—
974C2×D42—611no—
975#3325—611no—
976#3325—611no—
977#3324—611no—
978#3324—611no—
979#3318—611no—
980#3318—611no—
981#3318—611no—
982#3318—611no—
983#3310—611no—
984#3310—611no—
985#3310—611no—
986#3310D6111yescharacteristic, complemented
987#3295—611no—
988#3295—611no—
989#3294—611no—
990#3294—611no—
991#3138—611no—
992#3094—611no—
993#3094—611no—
994#3077—611no—
995#3055—611no—
996#3055—611no—
997#3038—611no—
998#3003—611no—
999#3003—611no—
1000C4×AGL(1,ℤ/8)—611no—
1001D4×M16—611no—
1002C2×#418—611no—
1003C2×#418—611no—
1004C2×C61—22no—
1005C2×C61—41no—
1006C2×C61—42no—
1007C2×C61—81no—
1008C2×C61—81no—
1009C2×C61C2×#54611yescharacteristic
1010C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
1011C2×C61#358511yescharacteristic
1012D61—22no—
1013D61—22no—
1014D61—41no—
1015D61—42no—
1016D61—81no—
1017D61—81no—
1018D61—81no—
1019C23×D4—611no—
1020C23×D4—611no—
1021C23×D4—1221no—
1022C2×AGL(1,ℤ/8)—611no—
1023C2×AGL(1,ℤ/8)—611no—
1024C2×AGL(1,ℤ/8)—611no—
1025C22×M16—611no—
1026C22×M16—611no—
1027#556—611no—
1028#555—611no—
1029#554—611no—
1030#553—611no—
1031#553—611no—
1032#552—611no—
1033#552—1221no—
1034#552C2×D6111yescharacteristic, complemented
1035#551—1221no—
1036#551—1221no—
1037#547—611no—
1038#546—1221no—
1039D42—611no—
1040D42—611no—
1041D42—611no—
1042D42—611no—
1043D42—611no—
1044D42—611no—
1045D42—611no—
1046D42—1221no—
1047D42—1221no—
1048D42—1221no—
1049D42—1221no—
1050D42C2×D6111yescharacteristic
1051#533—611no—
1052C2×#127—611no—
1053#529—1221no—
1054#529—1221no—
1055#529—1221no—
1056#525—611no—
1057#525—611no—
1058C2×#121—611no—
1059C2×#121—611no—
1060C2×#121—1221no—
1061C2×#120—1221no—
1062C2×#120—1221no—
1063C4×#41—611no—
1064C4×#41—1221no—
1065C2×C4×D4—611no—
1066C2×C4×D4—611no—
1067C2×#117—611no—
1068C2×#117—611no—
1069#490—611no—
1070#490—611no—
1071#490—611no—
1072#490C2×D6111yescharacteristic, complemented
1073#486—611no—
1074#486—611no—
1075#486—611no—
1076#486—611no—
1077#482—611no—
1078#482—611no—
1079#482—611no—
1080#482—611no—
1081#482—611no—
1082#482—611no—
1083#482—611no—
1084#482C2×D6111yescharacteristic, complemented
1085#481—611no—
1086#481—611no—
1087#481—611no—
1088#481—611no—
1089#480—611no—
1090#480—611no—
1091#480—611no—
1092#480C2×D6111yescharacteristic, complemented
1093#478—611no—
1094#478—611no—
1095#478—611no—
1096#478C2×D6111yescharacteristic, complemented
1097#476—611no—
1098#476—611no—
1099#474—611no—
1100#474—611no—
1101#469—611no—
1102#469—611no—
1103#469—611no—
1104#469—611no—
1105#468—611no—
1106#468—611no—
1107#468—611no—
1108#468C2×D6111yescharacteristic, complemented
1109#466—611no—
1110#466—611no—
1111#466—611no—
1112#466—611no—
1113#465—611no—
1114#465—611no—
1115#465—611no—
1116#465C2×D6111yescharacteristic, complemented
1117#460—611no—
1118#460—611no—
1119#460—611no—
1120#460C2×D6111yescharacteristic, complemented
1121#459—611no—
1122#459—611no—
1123#459—611no—
1124#459—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#447—611no—
1134#447—611no—
1135#447—611no—
1136#447—611no—
1137#447—611no—
1138#447—611no—
1139#447—611no—
1140#447—611no—
1141#442—611no—
1142#442—611no—
1143#440—611no—
1144#440C2×D6111yescharacteristic, complemented
1145C4×SD16—611no—
1146C4×SD16—611no—
1147C4×D8—611no—
1148C4×D8—611no—
1149#436—611no—
1150#436—611no—
1151#435—611no—
1152#435—611no—
1153#435—611no—
1154#435C2×D6111yescharacteristic, complemented
1155C8×D4—611no—
1156C8×D4—611no—
1157#428—611no—
1158#428—611no—
1159#428—611no—
1160#423—611no—
1161#418—611no—
1162#418—611no—
1163#418—611no—
1164#418—611no—
1165#418—611no—
1166#418—611no—
1167#418—611no—
1168#418—611no—
1169#418—611no—
1170#418—611no—
1171#418—611no—
1172#418—611no—
1173#418—611no—
1174#418—611no—
1175#418—611no—
1176#418—611no—
1177#418C2×D6111yescharacteristic, complemented
1178#417—611no—
1179C2×#102—611no—
1180C2×#102—611no—
1181C2×#102—611no—
1182C2×#102—611no—
1183C2×#102—611no—
1184C2×#102—611no—
1185C2×#102—611no—
1186C2×#102C2×D6111yescharacteristic, complemented
1187#407—611no—
1188#407—611no—
1189C4×M16—611no—
1190C61#6115511yescharacteristic, complemented, Sylow
1191C25—1221no—
1192C25—1221no—
1193C2×#41—611no—
1194C2×#41—1221no—
1195C22×D4—21no—
1196C22×D4—611no—
1197C22×D4—611no—
1198C22×D4—611no—
1199C22×D4—611no—
1200C22×D4—611no—
1201C22×D4—611no—
1202C22×D4—611no—
1203C22×D4—611no—
1204C22×D4—611no—
1205C22×D4—611no—
1206C22×D4—1221no—
1207C22×D4—1221no—
1208C22×D4—1221no—
1209C22×D4—1221no—
1210C22×D4—1221no—
1211C22×D4—1221no—
1212C22×D4—1221no—
1213C22×D4—1221no—
1214C22×D4—1221no—
1215C22×D4—1224no—
1216C22×D4—1224no—
1217C22×D4—1221no—
1218C22×D4—1221no—
1219C22×D4—1221no—
1220C22×D4—1221no—
1221C22×D4—1221no—
1222C22×D4—1221no—
1223C22×D4—1221no—
1224C22×D4—1221no—
1225C22×D4—2442no—
1226C22×D4—2442no—
1227C22×D4—2448no—
1228C22×D4C22×D6111yescharacteristic
1229C22×D4C22×D6111yescharacteristic
1230C23×C4—611no—
1231C23×C4—611no—
1232C23×C4—1221no—
1233AGL(1,ℤ/8)—1224no—
1234AGL(1,ℤ/8)—2442no—
1235AGL(1,ℤ/8)—2442no—
1236C2×SD16—611no—
1237C2×SD16—611no—
1238C2×SD16—611no—
1239C2×SD16C22×D6111yescharacteristic
1240C2×SD16C22×D6111yescharacteristic, complemented
1241C2×SD16C22×D6111yescharacteristic, complemented
1242C2×D8—611no—
1243C2×D8—611no—
1244C2×D8—611no—
1245C2×D8—611no—
1246C2×D8—611no—
1247C2×D8—611no—
1248C2×M16—611no—
1249C2×M16—611no—
1250C2×M16—611no—
1251C2×M16—611no—
1252C2×M16—611no—
1253C2×M16—611no—
1254C2×M16—611no—
1255C2×M16—2442no—
1256C2×M16—2442no—
1257C2×M16C22×D6111yescharacteristic, complemented
1258C22×C8—611no—
1259C22×C8—611no—
1260C22×C8—611no—
1261C22×C8C22×D6111yescharacteristic, complemented
1262C4⋊Q8—611no—
1263C4⋊Q8—611no—
1264#127—611no—
1265#127—611no—
1266#127—611no—
1267#127—1221no—
1268#127—1221no—
1269#127C22×D6111yescharacteristic
1270#126—21no—
1271#126—1221no—
1272#126—1221no—
1273#126—1221no—
1274#126—1221no—
1275#126—1221no—
1276#125—21no—
1277#125—611no—
1278#125—1221no—
1279#125—1221no—
1280#125C22×D6111yescharacteristic, complemented
1281#124—1221no—
1282#124—1221no—
1283#124—1221no—
1284#123—21no—
1285#123—1221no—
1286#123—1221no—
1287#123—1221no—
1288#123—1221no—
1289#123—1221no—
1290#123—1221no—
1291#123—1221no—
1292C22⋊Q8—611no—
1293C22⋊Q8—611no—
1294C22⋊Q8—1221no—
1295C22⋊Q8—1221no—
1296C22⋊Q8—1221no—
1297C22⋊Q8—1221no—
1298C22⋊Q8—1221no—
1299C22⋊Q8C22×D6111yescharacteristic, complemented
1300C22⋊Q8C22×D6111yescharacteristic, complemented
1301#121—21no—
1302#121—611no—
1303#121—611no—
1304#121—611no—
1305#121—611no—
1306#121—611no—
1307#121—611no—
1308#121—611no—
1309#121—611no—
1310#121—611no—
1311#121—611no—
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#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121C22×D6111yescharacteristic
1327#121C22×D6111yescharacteristic
1328#120—21no—
1329#120—21no—
1330#120—1221no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337#120—1221no—
1338#120—1221no—
1339#120—1221no—
1340#120—1221no—
1341#120—1221no—
1342#120—1221no—
1343#120—1221no—
1344#120—1221no—
1345#120—1221no—
1346C4×Q8—611no—
1347C4×Q8—1221no—
1348C4×Q8—1221no—
1349C4×Q8—1221no—
1350C4×Q8C22×D6111yescharacteristic, complemented
1351C4×D4—611no—
1352C4×D4—611no—
1353C4×D4—611no—
1354C4×D4—611no—
1355C4×D4—611no—
1356C4×D4—611no—
1357C4×D4—611no—
1358C4×D4—611no—
1359C4×D4—611no—
1360C4×D4—611no—
1361C4×D4—611no—
1362C4×D4—611no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4—1221no—
1366C4×D4—1221no—
1367C4×D4—1221no—
1368C4×D4—1221no—
1369C4×D4—1221no—
1370C4×D4—1221no—
1371C4×D4—1221no—
1372C4×D4—1221no—
1373C4×D4—1221no—
1374C4×D4C22×D6111yescharacteristic
1375C4×D4C22×D6111yescharacteristic
1376#117—21no—
1377#117—611no—
1378#117—611no—
1379#117—611no—
1380#117—611no—
1381#117—611no—
1382#117—611no—
1383#117—1221no—
1384#117—1221no—
1385#117—1221no—
1386#117—1221no—
1387#117—1221no—
1388#117—1221no—
1389#117—1221no—
1390#117C22×D6111yescharacteristic, complemented
1391C2×C4⋊C4—611no—
1392C2×C4⋊C4—611no—
1393C2×C4⋊C4—611no—
1394C2×C4⋊C4—611no—
1395C2×C4⋊C4—611no—
1396C2×C4⋊C4C22×D6111yescharacteristic, complemented
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—1221no—
1400C2×C22⋊C4—1221no—
1401C2×C22⋊C4—1221no—
1402C2×C22⋊C4—1221no—
1403C2×C22⋊C4—1221no—
1404C2×C42—611no—
1405C2×C42—1221no—
1406C2×C42—1221no—
1407C2×C42—1221no—
1408#107—611no—
1409#107—611no—
1410#107—611no—
1411#107—611no—
1412#107C22×D6111yescharacteristic, complemented
1413#107C22×D6111yescharacteristic, complemented
1414#106—611no—
1415#106—611no—
1416#106—611no—
1417#106—611no—
1418#106—611no—
1419#106C22×D6111yescharacteristic, complemented
1420C4⋊C8—611no—
1421C4⋊C8—611no—
1422C4⋊C8—611no—
1423C4⋊C8C22×D6111yescharacteristic, complemented
1424#103—611no—
1425#103C22×D6111yescharacteristic, complemented
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#102—611no—
1448#102—611no—
1449#102—611no—
1450#102—611no—
1451#102—611no—
1452#102—611no—
1453#102—611no—
1454#102—611no—
1455#102C22×D6111yescharacteristic
1456#102C22×D6111yescharacteristic
1457#102C22×D6111yescharacteristic
1458#102C22×D6111yescharacteristic, complemented
1459#102C22×D6111yescharacteristic, complemented
1460#102C22×D6111yescharacteristic, complemented
1461#102C22×D6111yescharacteristic, complemented
1462#102C22×D6111yescharacteristic, complemented
1463#102C22×D6111yescharacteristic, complemented
1464C22⋊C8—611no—
1465C22⋊C8—611no—
1466C22⋊C8—611no—
1467C22⋊C8—611no—
1468C22⋊C8—611no—
1469C22⋊C8—611no—
1470C22⋊C8C22×D6111yescharacteristic, complemented
1471C22⋊C8C22×D6111yescharacteristic, complemented
1472#97—611no—
1473#97C22×D6111yescharacteristic, complemented
1474C4×C8—611no—
1475C4×C8—611no—
1476C24—21no—
1477C24—21no—
1478C24—611no—
1479C24—611no—
1480C24—1221no—
1481C24—1221no—
1482C24—1221no—
1483C24—1221no—
1484C24—1221no—
1485C24—1221no—
1486C24—1221no—
1487C24—1221no—
1488C24—1221no—
1489C24—4882no—
1490C24—4882no—
1491C24—2444no—
1492C24—2444no—
1493C24—2444no—
1494C24—2444no—
1495#41—1222no—
1496#41—1222no—
1497#41—2444no—
1498C2×Q8—1221no—
1499C2×Q8—1221no—
1500C2×Q8C23×D6111yescharacteristic
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—611no—
1513C2×D4—614no—
1514C2×D4—611no—
1515C2×D4—611no—
1516C2×D4—611no—
1517C2×D4—611no—
1518C2×D4—611no—
1519C2×D4—611no—
1520C2×D4—1222no—
1521C2×D4—1222no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1222no—
1528C2×D4—1222no—
1529C2×D4—1222no—
1530C2×D4—1222no—
1531C2×D4—1222no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
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—1224no—
1544C2×D4—1222no—
1545C2×D4—1222no—
1546C2×D4—1222no—
1547C2×D4—1222no—
1548C2×D4—1221no—
1549C2×D4—1221no—
1550C2×D4—1221no—
1551C2×D4—1221no—
1552C2×D4—1221no—
1553C2×D4—1221no—
1554C2×D4—1221no—
1555C2×D4—1221no—
1556C2×D4—1221no—
1557C2×D4—1221no—
1558C2×D4—4882no—
1559C2×D4—2441no—
1560C2×D4—2441no—
1561C2×D4—2444no—
1562C2×D4—2441no—
1563C2×D4—2441no—
1564C2×D4—2441no—
1565C2×D4—2441no—
1566C2×D4—2444no—
1567C2×D4—2444no—
1568C2×D4—2444no—
1569C2×D4—2444no—
1570C2×D4—2444no—
1571C2×D4—2444no—
1572C2×D4—2444no—
1573C2×D4—2444no—
1574C2×D4—2444no—
1575C2×D4—2444no—
1576C2×D4—2444no—
1577C2×D4—2444no—
1578C2×D4—2444no—
1579C2×D4—2444no—
1580C2×D4—2444no—
1581C2×D4D4×D6111yescharacteristic
1582C2×D4C23×D6111yescharacteristic
1583C2×D4C23×D6111yescharacteristic
1584C2×D4C23×D6111yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—611no—
1588C22×C4—611no—
1589C22×C4—611no—
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—1222no—
1599C22×C4—1222no—
1600C22×C4—1222no—
1601C22×C4—1222no—
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—2444no—
1613C22×C4C23×D6111yescharacteristic
1614C22×C4C23×D6111yescharacteristic
1615SD16—22no—
1616SD16—41no—
1617SD16—41no—
1618SD16—1222no—
1619SD16—2441no—
1620SD16—2441no—
1621D8—1222no—
1622D8—1222no—
1623D8—2441no—
1624D8—2441no—
1625D8—2441no—
1626D8—2441no—
1627M16—41no—
1628M16—1222no—
1629M16—1222no—
1630M16—1222no—
1631M16—1222no—
1632M16—2441no—
1633M16—2441no—
1634M16—2441no—
1635C2×C8—41no—
1636C2×C8—611no—
1637C2×C8—611no—
1638C2×C8—611no—
1639C2×C8—611no—
1640C2×C8—2441no—
1641C2×C8—2441no—
1642C2×C8—2441no—
1643C2×C8C23×D6111yescharacteristic
1644C2×C8C23×D6111yescharacteristic
1645C2×C8C23×D6111yescharacteristic
1646C2×C8C23×D6111yescharacteristic
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—611no—
1654C4⋊C4—611no—
1655C4⋊C4—611no—
1656C4⋊C4—611no—
1657C4⋊C4—611no—
1658C4⋊C4—611no—
1659C4⋊C4—611no—
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⋊C4—1221no—
1670C4⋊C4—1221no—
1671C4⋊C4D4×D6111yescharacteristic
1672C4⋊C4C23×D6111yescharacteristic
1673C4⋊C4C23×D6111yescharacteristic
1674C4⋊C4C23×D6111yescharacteristic
1675C4⋊C4C23×D6111yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—611no—
1683C22⋊C4—611no—
1684C22⋊C4—611no—
1685C22⋊C4—611no—
1686C22⋊C4—611no—
1687C22⋊C4—611no—
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⋊C4—1221no—
1705C22⋊C4—1221no—
1706C22⋊C4—1221no—
1707C22⋊C4—1221no—
1708C22⋊C4—1221no—
1709C22⋊C4—1221no—
1710C22⋊C4—1221no—
1711C22⋊C4D4×D6111yescharacteristic
1712C22⋊C4D4×D6111yescharacteristic
1713C42—21no—
1714C42—21no—
1715C42—611no—
1716C42—611no—
1717C42—611no—
1718C42—1221no—
1719C42—1221no—
1720C42—1221no—
1721C42—1221no—
1722C42—1221no—
1723C42—1221no—
1724C42—1221no—
1725C42C23×D6111yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—611no—
1736C23—611no—
1737C23—611no—
1738C23—1222no—
1739C23—1222no—
1740C23—1224no—
1741C23—1222no—
1742C23—1222no—
1743C23—1221no—
1744C23—1221no—
1745C23—1221no—
1746C23—1221no—
1747C23—4881no—
1748C23—4881no—
1749C23—4881no—
1750C23—4881no—
1751C23—4881no—
1752C23—4881no—
1753C23—48816no—
1754C23—48816no—
1755C23—2441no—
1756C23—2441no—
1757C23—2442no—
1758C23—2442no—
1759C23—2442no—
1760C23—2442no—
1761C23—2442no—
1762C23—2442no—
1763C23—2442no—
1764C23—2442no—
1765C23—2442no—
1766C23—2442no—
1767C23—2442no—
1768C23—2442no—
1769C23—2442no—
1770C23—2442no—
1771C23—2442no—
1772C23—2442no—
1773C23—2442no—
1774C23—2442no—
1775C23—2442no—
1776C23—2442no—
1777C23C2×D4×D6111yescharacteristic
1778C23C2×D4×D6111yescharacteristic
1779Q8—21no—
1780Q8—21no—
1781Q8—4881no—
1782Q8—2442no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—614no—
1796D4—612no—
1797D4—1222no—
1798D4—1224no—
1799D4—1222no—
1800D4—1221no—
1801D4—1221no—
1802D4—1221no—
1803D4—1221no—
1804D4—1221no—
1805D4—1221no—
1806D4—1221no—
1807D4—4881no—
1808D4—4881no—
1809D4—4881no—
1810D4—4881no—
1811D4—4881no—
1812D4—2442no—
1813D4—2442no—
1814D4—2442no—
1815D4—2442no—
1816D4—2442no—
1817D4—2442no—
1818D4—2442no—
1819D4—2442no—
1820D4—2442no—
1821D4—2442no—
1822D4—2442no—
1823D4—2442no—
1824D4—2442no—
1825D4—2442no—
1826D4—2442no—
1827D4—2442no—
1828D4—2442no—
1829D4—2442no—
1830D4—2442no—
1831D4—2442no—
1832D4#41×D6112yes—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—611no—
1845C2×C4—611no—
1846C2×C4—612no—
1847C2×C4—612no—
1848C2×C4—611no—
1849C2×C4—611no—
1850C2×C4—611no—
1851C2×C4—1222no—
1852C2×C4—1222no—
1853C2×C4—1222no—
1854C2×C4—1222no—
1855C2×C4—1222no—
1856C2×C4—1222no—
1857C2×C4—1222no—
1858C2×C4—1221no—
1859C2×C4—1221no—
1860C2×C4—1221no—
1861C2×C4—1221no—
1862C2×C4—1221no—
1863C2×C4—1221no—
1864C2×C4—1221no—
1865C2×C4—1221no—
1866C2×C4—4881no—
1867C2×C4—4881no—
1868C2×C4—4881no—
1869C2×C4—2441no—
1870C2×C4—2442no—
1871C2×C4—2442no—
1872C2×C4—2442no—
1873C2×C4—2442no—
1874C2×C4—2442no—
1875C2×C4—2442no—
1876C2×C4—2442no—
1877C2×C4C2×D4×D6111yescharacteristic
1878C2×C4C2×D4×D6111yescharacteristic
1879C2×C4C2×D4×D6111yescharacteristic
1880C2×C4C2×D4×D6111yescharacteristic
1881C2×C4C24×D6111yescharacteristic
1882C8—21no—
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—1221no—
1887C8—1221no—
1888C8—1221no—
1889C8—1221no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—22no—
1894C22—21no—
1895C22—21no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—84no—
1905C22—84no—
1906C22—612no—
1907C22—612no—
1908C22—1221no—
1909C22—1221no—
1910C22—1221no—
1911C22—1221no—
1912C22—1221no—
1913C22—1222no—
1914C22—1221no—
1915C22—1221no—
1916C22—4884no—
1917C22—4884no—
1918C22—4884no—
1919C22—4884no—
1920C22—4884no—
1921C22—4884no—
1922C22—4884no—
1923C22—4884no—
1924C22—2444no—
1925C22—2444no—
1926C22—2448no—
1927C22—2441no—
1928C22—2441no—
1929C22—2441no—
1930C22—2441no—
1931C22—2441no—
1932C22—2441no—
1933C22—2441no—
1934C22—2441no—
1935C22—2441no—
1936C22—2441no—
1937C22—2441no—
1938C22AGL(1,ℤ/8)×D6112yes—
1939C22C22×D4×D6111yescharacteristic
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—21no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—612no—
1950C4—612no—
1951C4—1221no—
1952C4—1221no—
1953C4—1221no—
1954C4—2441no—
1955C4—2441no—
1956C4—2441no—
1957C4—2441no—
1958C4C2×#41×D6111yescharacteristic
1959C4H(5,𝔽2)×D6111yescharacteristic
1960C2—22no—
1961C2—41no—
1962C2—42no—
1963C2—81no—
1964C2—81no—
1965C2—1222no—
1966C2—1222no—
1967C2—4881no—
1968C2—4881no—
1969C2—4881no—
1970C2—2441no—
1971C2—2442no—
1972C2#546×D6111yescharacteristic
1973C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1974C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3310C2
socleC22×C61C23×D4
hypercenter#3310D61
hypocenterC61#61155
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. #21459372C2semidirect
2. D42×D61C2semidirect
3. #21458059C2semidirect
4. #21458057C2semidirect
5. #21458045C2semidirect
6. #21458043C2semidirect
7. #21457962C2semidirect
8. #21457960C2semidirect
9. #21457959C2semidirect
10. #21457957C2semidirect
11. #21457847C2semidirect
12. #21457845C2semidirect
13. #21457834C2semidirect
14. #21457638C2semidirect
15. #21457636C2semidirect
16. #21457630C2semidirect
17. #21457628C2semidirect
18. #21456192C2semidirect
19. #21455758C2semidirect
20. #21455754C2semidirect
21. #21455614C2semidirect
22. #21455433C2semidirect
23. #21455431C2semidirect
24. #21455296C2semidirect
25. #21455047C2semidirect
26. #21455047C2semidirect
27. #21454624C2semidirect
28. #21454552C2semidirect
29. C2×#16839765C2semidirect
30. #418×D61C2semidirect
31. C61×#3310C2semidirect
36. C2×#14519804C22semidirect
37. C2×#14519804C22semidirect
38. C22×#11758189C22semidirect
39. C2×M16×D61C22semidirect
40. #16840483C22semidirect
41. #16840475C22semidirect
42. #16840470C22semidirect
43. #16840465C22semidirect
44. #16840458C22semidirect
45. #16840453C22semidirect
49. #16840413C22semidirect
62. #16840318C22semidirect
67. #16840275C22semidirect
68. #16840275C22semidirect
74. C4×#11758226C22semidirect
78. C2×#14519735C22semidirect
79. #117×D61C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840126C22semidirect
83. #16840107C22semidirect
84. #16840107C22semidirect
85. #16840107C22semidirect
86. #16840107C22semidirect
87. #16840089C22semidirect
88. #16840089C22semidirect
89. #16840087C22semidirect
90. #16840086C22semidirect
91. #16840085C22semidirect
92. #16840085C22semidirect
93. #16840083C22semidirect
94. #16840082C22semidirect
95. #16840081C22semidirect
96. #16840079C22semidirect
97. #16840078C22semidirect
98. #16840077C22semidirect
99. #16840075C22semidirect
100. #16840074C22semidirect
101. #16840063C22semidirect
102. #16840062C22semidirect
103. #16840059C22semidirect
104. #16840051C22semidirect
105. #16840050C22semidirect
106. #16840041C22semidirect
107. #16840040C22semidirect
108. #16840016C22semidirect
109. #16840015C22semidirect
110. #16840014C22semidirect
111. #16840013C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
114. #16840005C22semidirect
115. #16839999C22semidirect
116. #16839998C22semidirect
117. #16839997C22semidirect
118. #16839996C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839988C22semidirect
122. #16839962C22semidirect
123. #16839960C22semidirect
124. #16839960C22semidirect
125. #16839958C22semidirect
126. #16839956C22semidirect
127. #16839956C22semidirect
128. #16839954C22semidirect
129. #16839912C22semidirect
130. #16839912C22semidirect
131. #16839911C22semidirect
132. #16839911C22semidirect
133. #16839911C22semidirect
134. #16839911C22semidirect
135. #16839898C22semidirect
136. #16839898C22semidirect
137. #16839897C22semidirect
138. #16839897C22semidirect
139. #16839897C22semidirect
140. #16839897C22semidirect
141. #16839896C22semidirect
142. #16839896C22semidirect
143. #16839875C22semidirect
144. #16839872C22semidirect
145. #16839860C22semidirect
146. SD16×Dic61C22semidirect
147. #16839847C22semidirect
148. #16839844C22semidirect
149. #16839842C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
152. #16839835C22semidirect
153. #16839834C22semidirect
154. #16839832C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
157. #16839803C22semidirect
158. #16839803C22semidirect
159. #16839801C22semidirect
160. #16839784C22semidirect
161. #16839768C22semidirect
162. #16839767C22semidirect
163. #16839766C22semidirect
167. #16839765C22semidirect
168. #16839765C22semidirect
169. #16839765C22semidirect
170. #16839765C22semidirect
171. #16839765C22semidirect
172. #16839765C22semidirect
173. #16839765C22semidirect
174. #16839765C22semidirect
175. #16839765C22semidirect
176. #16839765C22semidirect
177. #16839762C22semidirect
178. C2×#14519699C22semidirect
179. C2×#14519698C22semidirect
180. C2×#14519697C22semidirect
181. #102×D61C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839724C22semidirect
186. #16839724C22semidirect
187. #16839714C22semidirect
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
246. C2×#11758201C23semidirect
247. C2×#11758201C23semidirect
249. C2×D488C23semidirect
250. C2×D488C23semidirect
252. C2×#11758199C23semidirect
253. C2×#11758199C23semidirect
254. C2×#11758194C23semidirect
260. C2×#11758189C23semidirect
261. C2×#11758189C23semidirect
263. C22×#92418C23semidirect
264. C2×C8×D61C23semidirect
265. C2×C8×D61C23semidirect
266. #14519776C23semidirect
267. #14519776C23semidirect
278. #14519769C23semidirect
296. #14519753C23semidirect
297. #14519753C23semidirect
302. #14519752C23semidirect
303. #14519752C23semidirect
307. #14519751C23semidirect
308. #14519751C23semidirect
338. Q8×Dic61C23semidirect
345. C4×D244C23semidirect
354. #14519739C23semidirect
365. #14519736C23semidirect
372. #14519735C23semidirect
373. #14519735C23semidirect
378. C2×C4⋊Dic61C23semidirect
381. C4⋊C4×D61C23semidirect
382. C4⋊C4×D61C23semidirect
394. #14519711C23semidirect
395. #14519710C23semidirect
396. #14519710C23semidirect
397. #14519710C23semidirect
398. #14519709C23semidirect
399. #14519709C23semidirect
400. #14519708C23semidirect
401. #14519708C23semidirect
402. #14519708C23semidirect
403. C4⋊#92418C23semidirect
404. #14519706C23semidirect
405. #14519706C23semidirect
406. #14519701C23semidirect
410. #14519699C23semidirect
411. #14519699C23semidirect
412. #14519699C23semidirect
413. #14519699C23semidirect
414. #14519699C23semidirect
415. #14519699C23semidirect
416. #14519699C23semidirect
420. #14519698C23semidirect
421. #14519698C23semidirect
422. #14519698C23semidirect
423. #14519698C23semidirect
424. #14519698C23semidirect
425. #14519698C23semidirect
429. #14519697C23semidirect
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. C8×Dic61C23semidirect
444. C8×Dic61C23semidirect
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
582. D4×D61#41semidirect
840. C22⋊D61AGL(1,ℤ/8)semidirect
986. #3310D61semidirect
1034. #552C2×D61semidirect
1072. #490C2×D61semidirect
1084. #482C2×D61semidirect
1092. #480C2×D61semidirect
1096. #478C2×D61semidirect
1108. #468C2×D61semidirect
1116. #465C2×D61semidirect
1120. #460C2×D61semidirect
1131. #450C2×D61semidirect
1132. #450C2×D61semidirect
1144. #440C2×D61semidirect
1154. #435C2×D61semidirect
1177. #418C2×D61semidirect
1186. C2×#102C2×D61semidirect
1190. C61#61155semidirect
1240. C2×SD16C22×D61semidirect
1241. C2×SD16C22×D61semidirect
1257. C2×M16C22×D61semidirect
1261. C22×C8C22×D61semidirect
1280. #125C22×D61semidirect
1299. C22⋊Q8C22×D61semidirect
1300. C22⋊Q8C22×D61semidirect
1350. C4×Q8C22×D61semidirect
1390. #117C22×D61semidirect
1396. C2×C4⋊C4C22×D61semidirect
1412. #107C22×D61semidirect
1413. #107C22×D61semidirect
1419. #106C22×D61semidirect
1423. C4⋊C8C22×D61semidirect
1425. #103C22×D61semidirect
1458. #102C22×D61semidirect
1459. #102C22×D61semidirect
1460. #102C22×D61semidirect
1461. #102C22×D61semidirect
1462. #102C22×D61semidirect
1463. #102C22×D61semidirect
1470. C22⋊C8C22×D61semidirect
1471. C22⋊C8C22×D61semidirect
1473. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214593722
D42×D612
#214580592
#214580572
#214580452
#214580432
#214579622
#214579602
#214579592
#214579572
#214578472
#214578452
#214578342
#214576382
#214576362
#214576302
#214576282
#214561922
#214557582
#214557542
#214556142
#214554332
#214554312
#214552962
#214550472
#214546242
#214545522
C2×#168397652
#418×D612
C61×#33102
#6115561