Finite Group Databasebeta

← #30557882

Subgroups — #30557882

Order 15616.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459533C211yesmaximal, characteristic, complemented
2#21459479C211yesmaximal, characteristic, complemented
3#21458074C211yesmaximal, characteristic, complemented
4#21458070C211yesmaximal, characteristic, complemented
5#21458043C211yesmaximal, characteristic, complemented
6#21457976C211yesmaximal, characteristic, complemented
7#21457972C211yesmaximal, characteristic, complemented
8#21457961C211yesmaximal, characteristic, complemented
9#21457960C211yesmaximal, characteristic, complemented
10#21457952C211yesmaximal, characteristic, complemented
11#21457940C211yesmaximal, characteristic, complemented
12#21457880C211yesmaximal, characteristic, complemented
13#21457879C211yesmaximal, characteristic, complemented
14#21457768C211yesmaximal, characteristic, complemented
15#21457767C211yesmaximal, characteristic, complemented
16#21457659C211yesmaximal, characteristic, complemented
17#21457658C211yesmaximal, characteristic, complemented
18#21456168C211yesmaximal, characteristic, complemented
19#21455811C211yesmaximal, characteristic, complemented
20#482×D61C211yesmaximal, characteristic, complemented
21#21455665C211yesmaximal, characteristic, complemented
22#21455487C211yesmaximal, characteristic, complemented
23#21455433C211yesmaximal, characteristic, complemented
24#21455355C211yesmaximal, characteristic, complemented
25#21455124C211yesmaximal, characteristic, complemented
26#21455038C211yesmaximal, characteristic, complemented
27#21454697C211yesmaximal, characteristic, complemented
28#21454548C211yesmaximal, characteristic, complemented
29#21454344C211yesmaximal, characteristic, complemented
30#21454333C211yesmaximal, characteristic, complemented
31C61×#3324C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic
33C22×#11758224C2211yescharacteristic
34C2×#14519804C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic, complemented
37C2×#14519785C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic, complemented
39#16840484—21no—
40#16840483C2211yescharacteristic, complemented
41#16840478C2211yescharacteristic, complemented
42#16840475C2211yescharacteristic, complemented
43#16840474—21no—
44#16840463—21no—
45#16840458C2211yescharacteristic, complemented
46#16840456C2211yescharacteristic, complemented
47#16840454C2211yescharacteristic, complemented
48#16840453C2211yescharacteristic, complemented
49#16840448—21no—
50#16840432C2211yescharacteristic
51#16840430C2211yescharacteristic
52#16840421C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840407C2211yescharacteristic
55#16840406C2211yescharacteristic
56#16840401—21no—
57#16840399—21no—
58D4×C22⋊D61—21no—
59D4×C22⋊D61C2211yescharacteristic
60#16840394—21no—
61#16840389C2211yescharacteristic, complemented
62#16840351—21no—
63#16840346—21no—
64#16840342C2211yescharacteristic, complemented
65#16840341C2211yescharacteristic
66#16840339—21no—
67#16840327—21no—
68#16840325C2211yescharacteristic
69#16840299—21no—
70#16840295—21no—
71#16840275C2211yescharacteristic, complemented
72#16840271C2211yescharacteristic
73#16840268—21no—
74C2×#14519749—21no—
75#121×D61C2211yescharacteristic
76#16840244C2211yescharacteristic, complemented
77#16840242C2211yescharacteristic, complemented
78#16840241C2211yescharacteristic
79#117×D61C2211yescharacteristic, complemented
80#16840126C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic, complemented
82#16840124C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840117C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840094C2211yescharacteristic, complemented
90#16840093C2211yescharacteristic, complemented
91#16840089C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic, complemented
98#16840083C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840078C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840054C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840015C2211yescharacteristic, complemented
109#16840013C2211yescharacteristic, complemented
110#16840010C2211yescharacteristic, complemented
111#16840009C2211yescharacteristic, complemented
112#16840008C2211yescharacteristic, complemented
113#16840005C2211yescharacteristic, complemented
114#16840002C2211yescharacteristic, complemented
115#16840001C2211yescharacteristic, complemented
116#16839999C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839997C2211yescharacteristic, complemented
119#16839996C2211yescharacteristic, complemented
120#16839994C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic, complemented
124#16839978C2211yescharacteristic, complemented
125#16839976C2211yescharacteristic, complemented
126#16839960C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839954C2211yescharacteristic, complemented
129#16839922C2211yescharacteristic, complemented
130#16839921C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839921C2211yescharacteristic, complemented
133#16839917C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839909C2211yescharacteristic, complemented
136#16839908C2211yescharacteristic, complemented
137#16839908C2211yescharacteristic, complemented
138#16839908C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic, complemented
140#16839897C2211yescharacteristic, complemented
141#16839896C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147C4×#11758190C2211yescharacteristic, complemented
148SD16×Dic61C2211yescharacteristic, complemented
149#16839849C2211yescharacteristic, complemented
150#16839837C2211yescharacteristic, complemented
151#16839834C2211yescharacteristic, complemented
152#16839832C2211yescharacteristic, complemented
153#16839831C2211yescharacteristic, complemented
154#16839831C2211yescharacteristic, complemented
155C8×D244C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#107×D61C2211yescharacteristic, complemented
159#106×D61C2211yescharacteristic, complemented
160#16839787C2211yescharacteristic, complemented
161#16839772C2211yescharacteristic, complemented
162#16839770C2211yescharacteristic, complemented
163#16839767C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839765C2211yescharacteristic, complemented
166#16839764C2211yescharacteristic, complemented
167#16839762C2211yescharacteristic, complemented
168#16839760C2211yescharacteristic
169#16839760C2211yescharacteristic
170#16839760C2211yescharacteristic, complemented
171#16839760C2211yescharacteristic, complemented
172#16839760C2211yescharacteristic, complemented
173#16839756C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic
175#16839755C2211yescharacteristic, complemented
176#16839755C2211yescharacteristic, complemented
177#16839755C2211yescharacteristic, complemented
178#16839755C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181C2×#14519698C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187#16839716C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189D42×C61C2211yescharacteristic
190C61×#486C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#450C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C61×#418C2211yescharacteristic, complemented
203#14519822—24no—
204#14519822—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—24no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—42no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C22×Dic122C2311yescharacteristic
219C22×C22⋊D61—21no—
220C22×C22⋊D61—21no—
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61C2311yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C23×Dic61—21no—
228C22×C4×D61C2311yescharacteristic
229#14519804—42no—
230#14519798—24no—
231#14519798—42no—
232C2×#11758202C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758190C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241#14519785—42no—
242C2×#11758194C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246M16×D61—42no—
247C22×#92418C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253#14519776C2311yescharacteristic
254#14519775—21no—
255#14519773—21no—
256#14519773—21no—
257#14519773C2311yescharacteristic
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519771—21no—
262#14519771—21no—
263#14519770—21no—
264#14519769C2311yescharacteristic
265#14519768—21no—
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519766—21no—
270#14519766—21no—
271#14519765—21no—
272#14519765C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519761—21no—
282#14519761—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759D411yescharacteristic
286#14519758—21no—
287#14519757C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755D411yescharacteristic
293#14519754—21no—
294#14519754—21no—
295#14519754D411yescharacteristic
296#14519753—21no—
297#14519753C2311yescharacteristic
298#14519753C2311yescharacteristic
299#14519752—21no—
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750D411yescharacteristic
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749D411yescharacteristic
329#14519748—21no—
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519747—21no—
333#14519747—21no—
334#14519747D411yescharacteristic
335#14519746—21no—
336#14519746—21no—
337#14519745—21no—
338#14519745—21no—
339#14519745—21no—
340#14519745D411yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122C2311yescharacteristic
344#14519742—21no—
345#14519742C2311yescharacteristic
346C4×D244—21no—
347C4×D244—21no—
348C4×D244—21no—
349C4×D244C2311yescharacteristic
350C4×D244C2311yescharacteristic
351D4×Dic61—21no—
352D4×Dic61—21no—
353D4×Dic61C2311yescharacteristic
354#14519739—21no—
355#14519739—21no—
356#14519739C2311yescharacteristic
357C4×C22⋊D61—21no—
358C4×C22⋊D61C2311yescharacteristic
359C4×C22⋊D61C2311yescharacteristic
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519736C2311yescharacteristic
368#14519735—21no—
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519734—21no—
374#14519734—21no—
375#14519734—21no—
376#14519734—21no—
377#14519734C2311yescharacteristic
378#14519733—21no—
379#14519733—21no—
380#14519733—21no—
381C2×C4⋊Dic61C2311yescharacteristic
382C2×#11758196—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61C2311yescharacteristic
385C4⋊C4×D61C2311yescharacteristic
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C2×C22⋊Dic61—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C42×D61—21no—
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C22×D4×C61—21no—
445C22×D4×C61C2311yescharacteristic
446C22×D4×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451C2×M16×C61C2311yescharacteristic
452C4⋊Q8×C61C2311yescharacteristic
453#127×C61C2311yescharacteristic
454#126×C61—21no—
455#126×C61—21no—
456#124×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463#120×C61—21no—
464C4×Q8×C61—21no—
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C24×C61—21no—
488C24×C61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61C2×D411yescharacteristic
492C2×Q8×C61—21no—
493C2×Q8×C61C2411yescharacteristic
494C2×D4×C61—22no—
495C2×D4×C61—22no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—41no—
503C2×D4×C61—41no—
504C2×D4×C61—82no—
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C22×C4×C61—21no—
510C22×C4×C61C2411yescharacteristic
511C22×C4×C61C2411yescharacteristic
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—44no—
528C2×C22⋊D61—44no—
529C2×C22⋊D61—44no—
530C2×C22⋊D61—82no—
531C2×C22⋊D61C2×D411yescharacteristic
532C2×C22⋊D61C2×D411yescharacteristic
533C2×C22⋊D61C2×D411yescharacteristic
534C2×C22⋊D61C2×D411yescharacteristic
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61—21no—
542C22×Dic61—21no—
543C22×Dic61—44no—
544C22×Dic61C2×D411yescharacteristic
545#11758226—22no—
546#11758226—22no—
547#11758224—22no—
548#11758224—22no—
549#11758224—22no—
550#11758224—22no—
551#11758224—22no—
552#11758224—22no—
553#11758224—41no—
554#11758224—41no—
555#11758224—41no—
556#11758224—44no—
557#11758224—44no—
558#11758224—44no—
559#11758224#4114yes—
560D4×D61—22no—
561D4×D61—22no—
562D4×D61—22no—
563D4×D61—41no—
564D4×D61—44no—
565D4×D61—82no—
566#11758222—22no—
567#11758222—22no—
568#11758222—22no—
569#11758222—41no—
570C2×D244—21no—
571C2×D244—21no—
572C2×D244—21no—
573C2×D244—21no—
574C2×D244C2×D411yescharacteristic
575C2×D244C2×D411yescharacteristic
576C2×D244C2411yescharacteristic
577C2×D244C2411yescharacteristic
578C2×C4×D61—22no—
579C2×C4×D61—22no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61C2×D411yescharacteristic
589C2×C4×D61C2×D411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×C4×D61C2411yescharacteristic
592C2×C4×D61C2411yescharacteristic
593C2×Dic122—22no—
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122—41no—
597C2×Dic122C2×D411yescharacteristic
598C2×Dic122C2411yescharacteristic
599C2×Dic122C2411yescharacteristic
600SD16×C61—22no—
601SD16×C61—41no—
602SD16×C61—41no—
603M16×C61—41no—
604M16×C61—41no—
605C2×C8×C61C2411yescharacteristic
606C2×C8×C61C2411yescharacteristic
607C2×C8×C61C2411yescharacteristic
608C2×C8×C61C2411yescharacteristic
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61C2×D411yescharacteristic
626C22⋊C4×C61C2×D411yescharacteristic
627C42×C61—21no—
628C42×C61—21no—
629C42×C61—21no—
630C42×C61C2411yescharacteristic
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640#11758202—22no—
641#11758202—41no—
642#11758201—41no—
643#11758199—22no—
644#11758199—41no—
645#11758199—41no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61C2×D411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196C2×D411yescharacteristic
692#11758196C2×D411yescharacteristic
693#11758196C2×D411yescharacteristic
694#11758196C2×D411yescharacteristic
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710D488—41no—
711#11758190—22no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—41no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—21no—
724C23×C61—42no—
725C23×C61—42no—
726C23×C61—42no—
727C23×C61—81no—
728C23×C61—81no—
729C23×C61—81no—
730C23×C61C22×D411yescharacteristic
731C23×C61C22×D411yescharacteristic
732C22×D61—22no—
733C22×D61—21no—
734C22×D61—21no—
735C22×D61—41no—
736C22×D61—41no—
737C22×D61—42no—
738C22×D61—42no—
739C22×D61—81no—
740C22×D61—81no—
741C22×D61—81no—
742C22×D61—81no—
743C22×D61C22×D411yescharacteristic
744C22×D61C22×D411yescharacteristic
745C22×D61C22×D411yescharacteristic
746Q8×C61—21no—
747Q8×C61—21no—
748Q8×C61—81no—
749D4×C61—21no—
750D4×C61—21no—
751D4×C61—21no—
752D4×C61—21no—
753D4×C61—21no—
754D4×C61—41no—
755D4×C61—42no—
756D4×C61—42no—
757D4×C61—42no—
758D4×C61—81no—
759D4×C61—81no—
760D4×C61—81no—
761D4×C61C2×#4112yes—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—81no—
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C2511yescharacteristic
777C22⋊D61—22no—
778C22⋊D61—24no—
779C22⋊D61—22no—
780C22⋊D61—41no—
781C22⋊D61—41no—
782C22⋊D61—42no—
783C22⋊D61—42no—
784C22⋊D61—42no—
785C22⋊D61—42no—
786C22⋊D61—42no—
787C22⋊D61—42no—
788C22⋊D61—42no—
789C22⋊D61—42no—
790C22⋊D61—81no—
791C22⋊D61—81no—
792C22⋊D61—81no—
793C22⋊D61—81no—
794C22⋊D61—81no—
795C22⋊D61—81no—
796C2×Dic61—21no—
797C2×Dic61—22no—
798C2×Dic61—24no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—42no—
805C2×Dic61—42no—
806C2×Dic61—42no—
807C2×Dic61—42no—
808C2×Dic61—42no—
809C2×Dic61—81no—
810C2×Dic61—81no—
811C2×Dic61C22×D411yescharacteristic
812C2×Dic61C22×D411yescharacteristic
813C2×Dic61C22×D411yescharacteristic
814C2×Dic61C22×D411yescharacteristic
815C2×Dic61C22×D411yescharacteristic
816D244—22no—
817D244—21no—
818D244—21no—
819D244—21no—
820D244—21no—
821D244—41no—
822D244—42no—
823D244—81no—
824D244—81no—
825D244—81no—
826C4×D61—22no—
827C4×D61—21no—
828C4×D61—21no—
829C4×D61—21no—
830C4×D61—21no—
831C4×D61—22no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—81no—
835C4×D61—81no—
836C4×D61—81no—
837C4×D61—81no—
838C4×D61—81no—
839C4×D61—81no—
840C4×D61C2×#4112yes—
841C4×D61H(5,𝔽2)12yes—
842Dic122—21no—
843Dic122—22no—
844Dic122—21no—
845Dic122—21no—
846Dic122—42no—
847Dic122—81no—
848Dic122C2×#4112yes—
849C8×C61—21no—
850C8×C61—21no—
851C8×C61—21no—
852C8×C61—21no—
853#92418—21no—
854#92418—21no—
855#92418—21no—
856#92418—21no—
857#61196—611nomaximal, Sylow
858C22×C61—21no—
859C22×C61—21no—
860C22×C61—21no—
861C22×C61—21no—
862C22×C61—21no—
863C22×C61—22no—
864C22×C61—21no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—84no—
874C22×C61—162no—
875C22×C61C23×D411yescharacteristic
876C2×D61—21no—
877C2×D61—21no—
878C2×D61—21no—
879C2×D61—21no—
880C2×D61—21no—
881C2×D61—21no—
882C2×D61—21no—
883C2×D61—21no—
884C2×D61—41no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—82no—
891C2×D61—162no—
892C2×D61—162no—
893C2×D61#54612yes—
894C4×C61—21no—
895C4×C61—21no—
896C4×C61—21no—
897C4×C61—21no—
898C4×C61—41no—
899C4×C61—41no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61—41no—
903C4×C61C22×#4111yescharacteristic
904C4×C61C2×H(5,𝔽2)11yescharacteristic
905Dic61—21no—
906Dic61—21no—
907Dic61—21no—
908Dic61—22no—
909Dic61—21no—
910Dic61—41no—
911Dic61—41no—
912Dic61—41no—
913Dic61—41no—
914Dic61—41no—
915Dic61#54612yes—
916#3493—611no—
917#3488—611no—
918#3326—611no—
919#3326—611no—
920#3324—611no—
921#3324D6111yescharacteristic, complemented
922#3319—611no—
923#3319—611no—
924#3318—611no—
925#3318—611no—
926#3317—611no—
927#3317—611no—
928#3313—611no—
929#3313—611no—
930#3305—611no—
931#3305—611no—
932#3296—611no—
933#3296—611no—
934#3136—611no—
935#3099—611no—
936C2×#482—611no—
937#3083—611no—
938#3061—611no—
939#3055—611no—
940#3045—611no—
941#3012—611no—
942#3002—611no—
943#2952—611no—
944#2933—611no—
945#2897—611no—
946#2896—611no—
947C2×C61—41no—
948C2×C61—42no—
949C2×C61—41no—
950C2×C61—81no—
951C2×C61—81no—
952C2×C61C2×#54611yescharacteristic
953C2×C61#358411yescharacteristic
954C2×C61#358511yescharacteristic
955D61—22no—
956D61—41no—
957D61—41no—
958D61—81no—
959D61—81no—
960C2×H(5,𝔽2)—611no—
961C22×#41—611no—
962C2×AGL(1,ℤ/8)—611no—
963C2×#135—611no—
964C2×#135—611no—
965C2×#131—611no—
966C22×M16—611no—
967#556—611no—
968#556—1221no—
969#556C2×D6111yescharacteristic, complemented
970#555—611no—
971#555—611no—
972#555—1221no—
973#553—611no—
974#553—611no—
975#553—1221no—
976#552—611no—
977#552—611no—
978#552—1221no—
979#550—611no—
980#550—611no—
981#548—611no—
982#548—611no—
983#546—611no—
984#546—611no—
985#546—1221no—
986#546—1221no—
987D42—611no—
988D42—1221no—
989D42—1221no—
990D42C2×D6111yescharacteristic
991#544—611no—
992#538—1221no—
993#538—1221no—
994#537—611no—
995#537—611no—
996#537—1221no—
997#535—611no—
998#535—1221no—
999#529—1221no—
1000#529—1221no—
1001#525—611no—
1002#525—611no—
1003#525—1221no—
1004C2×#121—611no—
1005C2×#121—1221no—
1006#520—611no—
1007#520—611no—
1008#520—611no—
1009C2×#117—611no—
1010#490—611no—
1011#490—611no—
1012#489—611no—
1013#489—611no—
1014#488—611no—
1015#488—611no—
1016#486—611no—
1017#486C2×D6111yescharacteristic, complemented
1018#485—611no—
1019#485—611no—
1020#483—611no—
1021#483—611no—
1022#482—611no—
1023#482—611no—
1024#482—611no—
1025#482—611no—
1026#482—611no—
1027#482—611no—
1028#482—611no—
1029#482—611no—
1030#482C2×D6111yescharacteristic, complemented
1031#482C2×D6111yescharacteristic, complemented
1032#481—611no—
1033#481—611no—
1034#479—611no—
1035#479—611no—
1036#478—611no—
1037#478—611no—
1038#477—611no—
1039#477—611no—
1040#474—611no—
1041#474C2×D6111yescharacteristic, complemented
1042#469—611no—
1043#469—611no—
1044#468—611no—
1045#468—611no—
1046#468—611no—
1047#468—611no—
1048#468C2×D6111yescharacteristic, complemented
1049#468C2×D6111yescharacteristic, complemented
1050#467—611no—
1051#467—611no—
1052#466—611no—
1053#466—611no—
1054#466—611no—
1055#466—611no—
1056#465—611no—
1057#465—611no—
1058#464—611no—
1059#464—611no—
1060#463—611no—
1061#463—611no—
1062#460—611no—
1063#460C2×D6111yescharacteristic, complemented
1064#459—611no—
1065#459—611no—
1066#452—611no—
1067#452—611no—
1068#452—611no—
1069#452—611no—
1070#451—611no—
1071#450—611no—
1072#450C2×D6111yescharacteristic, complemented
1073#450C2×D6111yescharacteristic, complemented
1074#449—611no—
1075#449—611no—
1076#449—611no—
1077#449—611no—
1078#448—611no—
1079#447—611no—
1080#447—611no—
1081#447—611no—
1082#442—611no—
1083#442—611no—
1084#441—611no—
1085#441—611no—
1086C4×SD16—611no—
1087C4×SD16—611no—
1088C4×SD16—611no—
1089C4×SD16C2×D6111yescharacteristic, complemented
1090#436—611no—
1091#436C2×D6111yescharacteristic, complemented
1092#435—611no—
1093#435—611no—
1094#435—611no—
1095#435—611no—
1096C8×D4—611no—
1097C8×D4—611no—
1098#428—611no—
1099C2×#107—611no—
1100C2×#106—611no—
1101#424—611no—
1102#419—611no—
1103#419—611no—
1104#418—611no—
1105#418—611no—
1106#418—611no—
1107#418C2×D6111yescharacteristic, complemented
1108#418C2×D6111yescharacteristic, complemented
1109#417—611no—
1110#417—611no—
1111#417—611no—
1112#417—611no—
1113#417—611no—
1114#417—611no—
1115#417—611no—
1116#416—611no—
1117#416—611no—
1118#416—611no—
1119#416—611no—
1120#416—611no—
1121#416—611no—
1122#416—611no—
1123#416—611no—
1124C2×#102—611no—
1125C2×#102—611no—
1126C2×#102—611no—
1127C2×#102—611no—
1128#408—611no—
1129C2×C22⋊C8—611no—
1130#405—611no—
1131C61#6119611yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—1224no—
1133H(5,𝔽2)—2442no—
1134C2×#41—611no—
1135C2×#41—611no—
1136C2×#41—611no—
1137C2×#41—611no—
1138C2×#41—611no—
1139C2×#41—611no—
1140C2×#41—611no—
1141C2×#41—611no—
1142C2×#41—1221no—
1143C2×#41—1221no—
1144C2×#41—1221no—
1145C2×#41—1224no—
1146C2×#41—2442no—
1147C22×Q8—611no—
1148C22×D4—21no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—1221no—
1152C22×D4—1221no—
1153C22×D4—1221no—
1154C22×D4—1221no—
1155C22×D4—1221no—
1156C22×D4—1221no—
1157C22×D4C22×D6111yescharacteristic
1158C22×D4C22×D6111yescharacteristic
1159C23×C4—611no—
1160C23×C4—1221no—
1161AGL(1,ℤ/8)—2442no—
1162#135—1224no—
1163#135—2442no—
1164C2×Q16—611no—
1165C2×Q16—611no—
1166C2×SD16—611no—
1167C2×SD16—611no—
1168C2×SD16—611no—
1169C2×SD16C22×D6111yescharacteristic
1170C2×SD16C22×D6111yescharacteristic
1171C2×SD16C22×D6111yescharacteristic
1172C2×D8—611no—
1173C2×D8—611no—
1174C2×D8—611no—
1175C2×D8—611no—
1176#131—2442no—
1177C2×M16—611no—
1178C2×M16—611no—
1179C2×M16—611no—
1180C2×M16—611no—
1181C2×M16—2442no—
1182C2×M16C22×D6111yescharacteristic
1183C2×M16C22×D6111yescharacteristic
1184C22×C8—611no—
1185C22×C8—611no—
1186C22×C8—611no—
1187C22×C8—611no—
1188C22×C8—611no—
1189C22×C8—611no—
1190C4⋊Q8—611no—
1191C4⋊Q8—1221no—
1192C4⋊Q8C22×D6111yescharacteristic
1193#127—611no—
1194#127—1221no—
1195#127—1221no—
1196#127C22×D6111yescharacteristic
1197#126—21no—
1198#126—21no—
1199#126—1221no—
1200#126—1221no—
1201#126—1221no—
1202#126—1221no—
1203#126—1221no—
1204#126—1221no—
1205#125—611no—
1206#125—611no—
1207#125—1221no—
1208#125—1221no—
1209#125—1221no—
1210#124—21no—
1211#124—611no—
1212#124—611no—
1213#124—1221no—
1214#124—1221no—
1215#124—1221no—
1216#124—1221no—
1217#124—1221no—
1218#124—1221no—
1219#124—1221no—
1220#123—611no—
1221#123—611no—
1222#123—1221no—
1223#123—1221no—
1224#123—1221no—
1225#123—1221no—
1226#123—1221no—
1227#123—1221no—
1228#123—1221no—
1229C22⋊Q8—611no—
1230C22⋊Q8—611no—
1231C22⋊Q8—611no—
1232C22⋊Q8—611no—
1233C22⋊Q8—611no—
1234C22⋊Q8—611no—
1235C22⋊Q8—1221no—
1236C22⋊Q8—1221no—
1237C22⋊Q8—1221no—
1238C22⋊Q8—1221no—
1239C22⋊Q8—1221no—
1240C22⋊Q8—1221no—
1241C22⋊Q8C22×D6111yescharacteristic
1242C22⋊Q8C22×D6111yescharacteristic
1243#121—21no—
1244#121—611no—
1245#121—611no—
1246#121—611no—
1247#121—611no—
1248#121—611no—
1249#121—611no—
1250#121—611no—
1251#121—611no—
1252#121—611no—
1253#121—611no—
1254#121—1221no—
1255#121—1221no—
1256#121—1221no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121—1221no—
1272#121—1221no—
1273#121—1221no—
1274#121—1221no—
1275#121—1221no—
1276#121—1221no—
1277#121C22×D6111yescharacteristic
1278#121C22×D6111yescharacteristic
1279#120—21no—
1280#120—21no—
1281#120—611no—
1282#120—611no—
1283#120—1221no—
1284#120—1221no—
1285#120—1221no—
1286#120—1221no—
1287#120—1221no—
1288#120—1221no—
1289#120—1221no—
1290C4×Q8—21no—
1291C4×Q8—611no—
1292C4×Q8—611no—
1293C4×Q8—611no—
1294C4×Q8—1221no—
1295C4×Q8—1221no—
1296C4×Q8C22×D6111yescharacteristic
1297C4×D4—611no—
1298C4×D4—611no—
1299C4×D4—611no—
1300C4×D4—611no—
1301C4×D4—611no—
1302C4×D4—611no—
1303C4×D4—1221no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4—1221no—
1307C4×D4—1221no—
1308C4×D4—1221no—
1309C4×D4—1221no—
1310C4×D4—1221no—
1311C4×D4—1221no—
1312C4×D4—1221no—
1313C4×D4—1221no—
1314C4×D4—1221no—
1315C4×D4—1221no—
1316C4×D4—1221no—
1317C4×D4—1221no—
1318C4×D4C22×D6111yescharacteristic
1319C4×D4C22×D6111yescharacteristic
1320#117—611no—
1321#117—611no—
1322#117—611no—
1323#117—611no—
1324#117—611no—
1325#117—611no—
1326#117—1221no—
1327#117—1221no—
1328#117—1221no—
1329#117—1221no—
1330#117—1221no—
1331#117—1221no—
1332#117—1221no—
1333#117—1221no—
1334#117C22×D6111yescharacteristic
1335#117C22×D6111yescharacteristic
1336C2×C4⋊C4—611no—
1337C2×C4⋊C4—611no—
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—611no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—1221no—
1342C2×C4⋊C4—1221no—
1343C2×C22⋊C4—1221no—
1344C2×C22⋊C4—1221no—
1345C2×C22⋊C4—1221no—
1346C2×C22⋊C4—1221no—
1347C2×C42—1221no—
1348#107—611no—
1349#107—611no—
1350#107—611no—
1351#107—611no—
1352#107C22×D6111yescharacteristic
1353#107C22×D6111yescharacteristic
1354#106—611no—
1355#106—611no—
1356#106—611no—
1357#106—611no—
1358#106—611no—
1359#106C22×D6111yescharacteristic
1360C4⋊C8—611no—
1361C4⋊C8—611no—
1362C4⋊C8—611no—
1363C4⋊C8C22×D6111yescharacteristic
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103—611no—
1372#103—611no—
1373#103—611no—
1374#103—611no—
1375#103—611no—
1376#103—611no—
1377#103C22×D6111yescharacteristic
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102C22×D6111yescharacteristic
1396#102C22×D6111yescharacteristic
1397#102C22×D6111yescharacteristic
1398#102C22×D6111yescharacteristic
1399#102C22×D6111yescharacteristic
1400#102C22×D6111yescharacteristic
1401#102C22×D6111yescharacteristic
1402#102C22×D6111yescharacteristic
1403#102C22×D6111yescharacteristic
1404C22⋊C8—611no—
1405C22⋊C8—611no—
1406C22⋊C8—611no—
1407C22⋊C8—611no—
1408C22⋊C8—611no—
1409C22⋊C8—611no—
1410C22⋊C8C22×D6111yescharacteristic
1411C22⋊C8C22×D6111yescharacteristic
1412#97—611no—
1413#97—611no—
1414C4×C8—611no—
1415C4×C8C22×D6111yescharacteristic
1416C24—21no—
1417C24—21no—
1418C24—611no—
1419C24—1221no—
1420C24—1221no—
1421#41—614no—
1422#41—1222no—
1423#41—1222no—
1424#41—1222no—
1425#41—1222no—
1426#41—1222no—
1427#41—1222no—
1428#41—1222no—
1429#41—1222no—
1430#41—1222no—
1431#41—1222no—
1432#41—1222no—
1433#41—2441no—
1434#41—2444no—
1435#41—2441no—
1436#41—2441no—
1437#41—2441no—
1438#41—2444no—
1439#41—2444no—
1440C2×Q8—21no—
1441C2×Q8—611no—
1442C2×Q8—611no—
1443C2×Q8—611no—
1444C2×Q8—1221no—
1445C2×Q8—1222no—
1446C2×Q8—1221no—
1447C2×Q8—2441no—
1448C2×Q8C23×D6111yescharacteristic
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—41no—
1458C2×D4—41no—
1459C2×D4—82no—
1460C2×D4—611no—
1461C2×D4—611no—
1462C2×D4—611no—
1463C2×D4—611no—
1464C2×D4—611no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1222no—
1473C2×D4—1222no—
1474C2×D4—1221no—
1475C2×D4—1221no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—1222no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—1221no—
1490C2×D4—4882no—
1491C2×D4—4882no—
1492C2×D4—2441no—
1493C2×D4—2444no—
1494C2×D4—2444no—
1495C2×D4—2444no—
1496C2×D4—2444no—
1497C2×D4D4×D6111yescharacteristic
1498C2×D4C23×D6111yescharacteristic
1499C2×D4C23×D6111yescharacteristic
1500C2×D4C23×D6111yescharacteristic
1501C22×C4—21no—
1502C22×C4—611no—
1503C22×C4—611no—
1504C22×C4—611no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—611no—
1508C22×C4—1222no—
1509C22×C4—1222no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4—1221no—
1517C22×C4—1221no—
1518C22×C4—1221no—
1519C22×C4—1221no—
1520C22×C4—1221no—
1521C22×C4—1221no—
1522C22×C4—1221no—
1523C22×C4—1221no—
1524C22×C4—1221no—
1525C22×C4—1221no—
1526C22×C4—2444no—
1527C22×C4C23×D6111yescharacteristic
1528C22×C4C23×D6111yescharacteristic
1529Q16—1222no—
1530Q16—2441no—
1531SD16—22no—
1532SD16—41no—
1533SD16—41no—
1534SD16—1222no—
1535SD16—2441no—
1536SD16—2441no—
1537D8—1222no—
1538D8—2441no—
1539D8—2441no—
1540D8—2441no—
1541M16—41no—
1542M16—41no—
1543M16—1222no—
1544M16—1222no—
1545M16—2441no—
1546M16—2441no—
1547C2×C8—611no—
1548C2×C8—611no—
1549C2×C8—611no—
1550C2×C8—611no—
1551C2×C8—1222no—
1552C2×C8—1222no—
1553C2×C8—2441no—
1554C2×C8—2441no—
1555C2×C8—2441no—
1556C2×C8—2441no—
1557C2×C8C23×D6111yescharacteristic
1558C2×C8C23×D6111yescharacteristic
1559C2×C8C23×D6111yescharacteristic
1560C2×C8C23×D6111yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—611no—
1566C4⋊C4—611no—
1567C4⋊C4—611no—
1568C4⋊C4—611no—
1569C4⋊C4—611no—
1570C4⋊C4—611no—
1571C4⋊C4—611no—
1572C4⋊C4—611no—
1573C4⋊C4—611no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4—1221no—
1581C4⋊C4—1221no—
1582C4⋊C4—1221no—
1583C4⋊C4—1221no—
1584C4⋊C4—1221no—
1585C4⋊C4—1221no—
1586C4⋊C4—1221no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4D4×D6111yescharacteristic
1592C4⋊C4C23×D6111yescharacteristic
1593C4⋊C4C23×D6111yescharacteristic
1594C4⋊C4C23×D6111yescharacteristic
1595C4⋊C4C23×D6111yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—611no—
1604C22⋊C4—611no—
1605C22⋊C4—611no—
1606C22⋊C4—611no—
1607C22⋊C4—611no—
1608C22⋊C4—611no—
1609C22⋊C4—611no—
1610C22⋊C4—611no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4D4×D6111yescharacteristic
1636C22⋊C4D4×D6111yescharacteristic
1637C42—21no—
1638C42—21no—
1639C42—21no—
1640C42—611no—
1641C42—1221no—
1642C42—1221no—
1643C42—1221no—
1644C42—1221no—
1645C42—1221no—
1646C42—1221no—
1647C42—1221no—
1648C42—1221no—
1649C42C23×D6111yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—42no—
1654C23—42no—
1655C23—42no—
1656C23—81no—
1657C23—81no—
1658C23—81no—
1659C23—611no—
1660C23—611no—
1661C23—611no—
1662C23—1222no—
1663C23—1221no—
1664C23—1221no—
1665C23—4881no—
1666C23—4881no—
1667C23—4881no—
1668C23—4881no—
1669C23—2441no—
1670C23—2441no—
1671C23—2442no—
1672C23—2442no—
1673C23C2×D4×D6111yescharacteristic
1674C23C2×D4×D6111yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—81no—
1678Q8—612no—
1679Q8—1222no—
1680Q8—1221no—
1681Q8—1221no—
1682Q8—1221no—
1683Q8—4881no—
1684Q8—2442no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—41no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—1222no—
1698D4—1222no—
1699D4—1222no—
1700D4—1224no—
1701D4—1221no—
1702D4—1221no—
1703D4—1221no—
1704D4—1221no—
1705D4—4881no—
1706D4—4881no—
1707D4—4881no—
1708D4—4881no—
1709D4—4881no—
1710D4—4881no—
1711D4—4881no—
1712D4—4881no—
1713D4—4881no—
1714D4—2441no—
1715D4—2442no—
1716D4—2442no—
1717D4—2441no—
1718D4—2441no—
1719D4—2442no—
1720D4—2442no—
1721D4—2442no—
1722D4—2442no—
1723D4—2442no—
1724D4—2442no—
1725D4—2442no—
1726D4#41×D6112yes—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—81no—
1737C2×C4—611no—
1738C2×C4—612no—
1739C2×C4—612no—
1740C2×C4—611no—
1741C2×C4—611no—
1742C2×C4—611no—
1743C2×C4—611no—
1744C2×C4—1222no—
1745C2×C4—1222no—
1746C2×C4—1222no—
1747C2×C4—1224no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—4881no—
1759C2×C4—4881no—
1760C2×C4—4881no—
1761C2×C4—4881no—
1762C2×C4—4881no—
1763C2×C4—4881no—
1764C2×C4—4881no—
1765C2×C4—4881no—
1766C2×C4—2442no—
1767C2×C4—2442no—
1768C2×C4—2442no—
1769C2×C4—2442no—
1770C2×C4—2442no—
1771C2×C4—2442no—
1772C2×C4—2442no—
1773C2×C4C2×D4×D6111yescharacteristic
1774C2×C4C2×D4×D6111yescharacteristic
1775C2×C4C2×D4×D6111yescharacteristic
1776C2×C4C2×D4×D6111yescharacteristic
1777C2×C4C24×D6111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1221no—
1783C8—1221no—
1784C8—1221no—
1785C8—1221no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—84no—
1802C22—162no—
1803C22—612no—
1804C22—1221no—
1805C22—1221no—
1806C22—1221no—
1807C22—1221no—
1808C22—1221no—
1809C22—1221no—
1810C22—1221no—
1811C22—1221no—
1812C22—9762no—
1813C22—9762no—
1814C22—4882no—
1815C22—2441no—
1816C22—2441no—
1817C22—2441no—
1818C22—2441no—
1819C22—2441no—
1820C22—2441no—
1821C22C22×D4×D6111yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—612no—
1832C4—1221no—
1833C4—1221no—
1834C4—1222no—
1835C4—1221no—
1836C4—1221no—
1837C4—2441no—
1838C4—2441no—
1839C4—2441no—
1840C4—2441no—
1841C4—2441no—
1842C4C2×#41×D6111yescharacteristic
1843C4H(5,𝔽2)×D6111yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—1222no—
1850C2—4881no—
1851C2—4881no—
1852C2—2441no—
1853C2—2441no—
1854C2#546×D6111yescharacteristic
1855C2#2146059111yescharacteristic
1856C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3324C2
socleC22×C61C23×D4
hypercenter#3324D61
hypocenterC61#61196
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #21459533C2semidirect
2. #21459479C2semidirect
3. #21458074C2semidirect
4. #21458070C2semidirect
5. #21458043C2semidirect
6. #21457976C2semidirect
7. #21457972C2semidirect
8. #21457961C2semidirect
9. #21457960C2semidirect
10. #21457952C2semidirect
11. #21457940C2semidirect
12. #21457880C2semidirect
13. #21457879C2semidirect
14. #21457768C2semidirect
15. #21457767C2semidirect
16. #21457659C2semidirect
17. #21457658C2semidirect
18. #21456168C2semidirect
19. #21455811C2semidirect
20. #482×D61C2semidirect
21. #21455665C2semidirect
22. #21455487C2semidirect
23. #21455433C2semidirect
24. #21455355C2semidirect
25. #21455124C2semidirect
26. #21455038C2semidirect
27. #21454697C2semidirect
28. #21454548C2semidirect
29. #21454344C2semidirect
30. #21454333C2semidirect
31. C61×#3324C2semidirect
34. C2×#14519804C22semidirect
36. C2×#14519798C22semidirect
37. C2×#14519785C22semidirect
38. C2×M16×D61C22semidirect
40. #16840483C22semidirect
41. #16840478C22semidirect
42. #16840475C22semidirect
45. #16840458C22semidirect
46. #16840456C22semidirect
47. #16840454C22semidirect
48. #16840453C22semidirect
61. #16840389C22semidirect
64. #16840342C22semidirect
71. #16840275C22semidirect
76. #16840244C22semidirect
77. #16840242C22semidirect
79. #117×D61C22semidirect
80. #16840126C22semidirect
81. #16840125C22semidirect
82. #16840124C22semidirect
83. #16840120C22semidirect
84. #16840117C22semidirect
85. #16840115C22semidirect
86. #16840107C22semidirect
87. #16840105C22semidirect
88. #16840103C22semidirect
89. #16840094C22semidirect
90. #16840093C22semidirect
91. #16840089C22semidirect
92. #16840088C22semidirect
93. #16840087C22semidirect
94. #16840086C22semidirect
95. #16840085C22semidirect
96. #16840085C22semidirect
97. #16840084C22semidirect
98. #16840083C22semidirect
99. #16840079C22semidirect
100. #16840078C22semidirect
101. #16840070C22semidirect
102. #16840068C22semidirect
103. #16840064C22semidirect
104. #16840062C22semidirect
105. #16840056C22semidirect
106. #16840054C22semidirect
107. #16840040C22semidirect
108. #16840015C22semidirect
109. #16840013C22semidirect
110. #16840010C22semidirect
111. #16840009C22semidirect
112. #16840008C22semidirect
113. #16840005C22semidirect
114. #16840002C22semidirect
115. #16840001C22semidirect
116. #16839999C22semidirect
117. #16839997C22semidirect
118. #16839997C22semidirect
119. #16839996C22semidirect
120. #16839994C22semidirect
121. #16839988C22semidirect
122. #16839984C22semidirect
123. #16839982C22semidirect
124. #16839978C22semidirect
125. #16839976C22semidirect
126. #16839960C22semidirect
127. #16839956C22semidirect
128. #16839954C22semidirect
129. #16839922C22semidirect
130. #16839921C22semidirect
131. #16839921C22semidirect
132. #16839921C22semidirect
133. #16839917C22semidirect
134. #16839911C22semidirect
135. #16839909C22semidirect
136. #16839908C22semidirect
137. #16839908C22semidirect
138. #16839908C22semidirect
139. #16839903C22semidirect
140. #16839897C22semidirect
141. #16839896C22semidirect
142. #16839896C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. C4×#11758190C22semidirect
148. SD16×Dic61C22semidirect
149. #16839849C22semidirect
150. #16839837C22semidirect
151. #16839834C22semidirect
152. #16839832C22semidirect
153. #16839831C22semidirect
154. #16839831C22semidirect
155. C8×D244C22semidirect
156. #16839825C22semidirect
157. #16839803C22semidirect
158. #107×D61C22semidirect
159. #106×D61C22semidirect
160. #16839787C22semidirect
161. #16839772C22semidirect
162. #16839770C22semidirect
163. #16839767C22semidirect
164. #16839765C22semidirect
165. #16839765C22semidirect
166. #16839764C22semidirect
167. #16839762C22semidirect
170. #16839760C22semidirect
171. #16839760C22semidirect
172. #16839760C22semidirect
173. #16839756C22semidirect
175. #16839755C22semidirect
176. #16839755C22semidirect
177. #16839755C22semidirect
178. #16839755C22semidirect
179. #16839755C22semidirect
180. #16839755C22semidirect
181. C2×#14519698C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839727C22semidirect
186. C22⋊C8×D61C22semidirect
187. #16839716C22semidirect
188. C61×#556C22semidirect
190. C61×#486C22semidirect
191. C61×#482C22semidirect
192. C61×#482C22semidirect
193. C61×#474C22semidirect
194. C61×#468C22semidirect
195. C61×#468C22semidirect
196. C61×#460C22semidirect
197. C61×#450C22semidirect
198. C61×#450C22semidirect
199. C4×SD16×C61C22semidirect
200. C61×#436C22semidirect
201. C61×#418C22semidirect
202. C61×#418C22semidirect
921. #3324D61semidirect
969. #556C2×D61semidirect
1017. #486C2×D61semidirect
1030. #482C2×D61semidirect
1031. #482C2×D61semidirect
1041. #474C2×D61semidirect
1048. #468C2×D61semidirect
1049. #468C2×D61semidirect
1063. #460C2×D61semidirect
1072. #450C2×D61semidirect
1073. #450C2×D61semidirect
1089. C4×SD16C2×D61semidirect
1091. #436C2×D61semidirect
1107. #418C2×D61semidirect
1108. #418C2×D61semidirect
1131. C61#61196semidirect

Maximal subgroups

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

subgroupindex
#214595332
#214594792
#214580742
#214580702
#214580432
#214579762
#214579722
#214579612
#214579602
#214579522
#214579402
#214578802
#214578792
#214577682
#214577672
#214576592
#214576582
#214561682
#214558112
#482×D612
#214556652
#214554872
#214554332
#214553552
#214551242
#214550382
#214546972
#214545482
#214543442
#214543332
C61×#33242
#6119661