Finite Group Databasebeta

← #30575508

Subgroups — #30575508

Order 15616.

1840 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460333C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458881C211yesmaximal, characteristic, complemented
4#21458878C211yesmaximal, characteristic, complemented
5#21458638C211yesmaximal, characteristic, complemented
6#21458636C211yesmaximal, characteristic, complemented
7#21458046C211yesmaximal, characteristic, complemented
8#21457976C211yesmaximal, characteristic, complemented
9#21457973C211yesmaximal, characteristic, complemented
10#21457888C211yesmaximal, characteristic, complemented
11#21457879C211yesmaximal, characteristic, complemented
12#21457477C211yesmaximal, characteristic, complemented
13#21457473C211yesmaximal, characteristic, complemented
14#21457336C211yesmaximal, characteristic, complemented
15#21457333C211yesmaximal, characteristic, complemented
16#21457312C211yesmaximal, characteristic, complemented
17#21457310C211yesmaximal, characteristic, complemented
18#21457279C211yesmaximal, characteristic, complemented
19#21457276C211yesmaximal, characteristic, complemented
20#21457201C211yesmaximal, characteristic, complemented
21#21456917C211yesmaximal, characteristic, complemented
22#21456916C211yesmaximal, characteristic, complemented
23#21456819C211yesmaximal, characteristic, complemented
24#21456044C211yesmaximal, characteristic, complemented
25#21456043C211yesmaximal, characteristic, complemented
26#21455965C211yesmaximal, characteristic, complemented
27#21455339C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455312C211yesmaximal, characteristic, complemented
30#21454983C211yesmaximal, characteristic, complemented
31C61×#3324C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic, complemented
33C2×#14519810C2211yescharacteristic, complemented
34C2×#14519806C2211yescharacteristic, complemented
35C2×#14519803C2211yescharacteristic
36C22×#11758200C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38#16840507—21no—
39#16840505—21no—
40#16840498C2211yescharacteristic
41#16840495C2211yescharacteristic
42#16840492C2211yescharacteristic, complemented
43#16840484—21no—
44#16840484C2211yescharacteristic, complemented
45#16840480C2211yescharacteristic, complemented
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic, complemented
49#16840474—21no—
50#16840425C2211yescharacteristic, complemented
51#16840422C2211yescharacteristic, complemented
52#16840421C2211yescharacteristic
53#16840421C2211yescharacteristic, complemented
54#16840418C2211yescharacteristic
55#16840409C2211yescharacteristic
56#16840406—21no—
57#16840406C2211yescharacteristic
58#16840399—21no—
59D4×C22⋊D61C2211yescharacteristic
60#16840386C2211yescharacteristic, complemented
61#16840385C2211yescharacteristic, complemented
62#16840379C2211yescharacteristic
63#16840378—21no—
64#16840377C2211yescharacteristic
65#16840376—21no—
66#16840347—21no—
67#16840347—21no—
68#16840344—21no—
69#16840329C2211yescharacteristic
70#16840325C2211yescharacteristic
71#16840321—21no—
72#16840316—21no—
73#16840314C2211yescharacteristic, complemented
74#16840307C2211yescharacteristic
75#16840295—21no—
76#16840292C2211yescharacteristic
77C2×#14519764C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic, complemented
82#16840153C2211yescharacteristic, complemented
83#16840149C2211yescharacteristic
84#16840148C2211yescharacteristic
85#16840146C2211yescharacteristic, complemented
86#16840143C2211yescharacteristic, complemented
87#16840124C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic, complemented
89#16840120C2211yescharacteristic, complemented
90#16840120C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic
92#16840106C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic
96#16840056C2211yescharacteristic, complemented
97#16840056C2211yescharacteristic, complemented
98#16840055C2211yescharacteristic, complemented
99#16840054C2211yescharacteristic, complemented
100#16840046C2211yescharacteristic, complemented
101#16840041C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic, complemented
104#16840040C2211yescharacteristic, complemented
105#16840010C2211yescharacteristic, complemented
106#16840009C2211yescharacteristic, complemented
107#16840008C2211yescharacteristic, complemented
108#16840008C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic
110#16840006C2211yescharacteristic, complemented
111#16840004C2211yescharacteristic, complemented
112#16840001C2211yescharacteristic, complemented
113#16839997C2211yescharacteristic
114#16839996C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839985C2211yescharacteristic, complemented
117#16839985C2211yescharacteristic, complemented
118#16839984C2211yescharacteristic, complemented
119#16839983C2211yescharacteristic, complemented
120#16839983C2211yescharacteristic, complemented
121#16839983C2211yescharacteristic, complemented
122#16839983C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839983C2211yescharacteristic, complemented
126#16839983C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839982C2211yescharacteristic, complemented
129#16839979C2211yescharacteristic, complemented
130#16839977C2211yescharacteristic, complemented
131#16839976C2211yescharacteristic, complemented
132#16839976C2211yescharacteristic, complemented
133#16839976C2211yescharacteristic, complemented
134#16839976C2211yescharacteristic, complemented
135#16839966C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic, complemented
140#16839961C2211yescharacteristic, complemented
141#16839960C2211yescharacteristic, complemented
142#16839959C2211yescharacteristic
143#16839956C2211yescharacteristic, complemented
144#16839925C2211yescharacteristic, complemented
145#16839922C2211yescharacteristic, complemented
146#16839920C2211yescharacteristic, complemented
147#16839920C2211yescharacteristic, complemented
148#16839919C2211yescharacteristic, complemented
149#16839917C2211yescharacteristic, complemented
150#16839914C2211yescharacteristic, complemented
151#16839913C2211yescharacteristic
152#16839909C2211yescharacteristic, complemented
153#16839909C2211yescharacteristic, complemented
154#16839908C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839900C2211yescharacteristic
157#16839899C2211yescharacteristic
158#16839897C2211yescharacteristic, complemented
159#16839896C2211yescharacteristic, complemented
160#16839892C2211yescharacteristic, complemented
161#16839891C2211yescharacteristic, complemented
162#16839873C2211yescharacteristic, complemented
163#16839871C2211yescharacteristic, complemented
164#16839868C2211yescharacteristic, complemented
165#16839867C2211yescharacteristic, complemented
166#16839862C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic, complemented
169#16839859C2211yescharacteristic, complemented
170C4×Dic244C2211yescharacteristic, complemented
171#16839856C2211yescharacteristic, complemented
172#16839853C2211yescharacteristic, complemented
173#16839838C2211yescharacteristic, complemented
174#16839836C2211yescharacteristic, complemented
175#16839834C2211yescharacteristic, complemented
176#16839831C2211yescharacteristic, complemented
177#16839830C2211yescharacteristic, complemented
178#16839821C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839785C2211yescharacteristic, complemented
184#16839770C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic, complemented
186#16839756C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189D42×C61C2211yescharacteristic
190C61×#486C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic
195C61×#468C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic
197C61×#450C2211yescharacteristic
198C61×#450C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#418C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C22×Dic122C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C22×C22⋊D61—21no—
211C2×D4×D61C2311yescharacteristic
212#14519810—42no—
213#14519810—42no—
214#14519806—42no—
215#14519803—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758200—42no—
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234SD16×D61—42no—
235C2×D488C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758194C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243#14519776—21no—
244#14519776—21no—
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519775—21no—
249#14519775—21no—
250#14519775C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772D411yescharacteristic
257#14519771—21no—
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770D411yescharacteristic
263#14519767—21no—
264#14519767D411yescharacteristic
265#14519766—21no—
266#14519766C2311yescharacteristic
267#14519765—21no—
268#14519765C2311yescharacteristic
269#14519765C2311yescharacteristic
270#14519764—21no—
271#14519764—21no—
272#14519764—21no—
273#14519764—21no—
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763D411yescharacteristic
290#14519762—21no—
291#14519761D411yescharacteristic
292#14519760—21no—
293#14519760—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519758—21no—
298#14519758—21no—
299#14519758—21no—
300#14519758—21no—
301#14519758D411yescharacteristic
302#14519757—21no—
303#14519757C2311yescharacteristic
304#14519757C2311yescharacteristic
305#14519756—21no—
306#14519756C2311yescharacteristic
307#14519756C2311yescharacteristic
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754D411yescharacteristic
318#14519753—21no—
319#14519752C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519751C2311yescharacteristic
322#14519750—21no—
323#14519750—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749D411yescharacteristic
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748C2311yescharacteristic
337#14519746—21no—
338#14519746—21no—
339#14519746—21no—
340#14519746—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345Q8×Dic61C2311yescharacteristic
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353#14519742—21no—
354#14519742—21no—
355#14519742—21no—
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362D4×Dic61—21no—
363D4×Dic61—21no—
364D4×Dic61C2311yescharacteristic
365D4×Dic61C2311yescharacteristic
366#14519739—21no—
367#14519739C2311yescharacteristic
368#14519739C2311yescharacteristic
369#14519739C2311yescharacteristic
370C4×C22⋊D61—21no—
371C4×C22⋊D61C2311yescharacteristic
372C4×C22⋊D61C2311yescharacteristic
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519736C2311yescharacteristic
380#14519735—21no—
381#14519735C2311yescharacteristic
382#14519734—21no—
383#14519734—21no—
384#14519734—21no—
385#14519734—21no—
386#14519734C2311yescharacteristic
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390C2×C22⋊Dic61—21no—
391C2×C22⋊Dic61—21no—
392C2×C22⋊Dic61—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C22×D4×C61—21no—
442C22×D4×C61C2311yescharacteristic
443C22×D4×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×M16×C61C2311yescharacteristic
448C2×M16×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450#127×C61C2311yescharacteristic
451#126×C61—21no—
452#126×C61—21no—
453#124×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456#121×C61—21no—
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460#120×C61—21no—
461C4×Q8×C61—21no—
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466#117×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C24×C61—21no—
486C23×D61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—41no—
496C2×D4×C61—41no—
497C2×D4×C61—41no—
498C2×D4×C61—41no—
499C2×D4×C61—82no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
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—82no—
519C2×C22⋊D61C2×D411yescharacteristic
520C2×C22⋊D61C2×D411yescharacteristic
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61C2×D411yescharacteristic
527C22×Dic61C2×D411yescharacteristic
528Q8×D61—22no—
529Q8×D61—41no—
530#11758224—41no—
531#11758224—41no—
532#11758224—82no—
533D4×D61—41no—
534D4×D61—41no—
535#11758222—22no—
536#11758222—41no—
537#11758222—41no—
538#11758222—41no—
539C2×D244—21no—
540C2×D244C2411yescharacteristic
541C2×D244C2411yescharacteristic
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—22no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—41no—
557C2×Dic122—41no—
558C2×Dic122—41no—
559C2×Dic122C2×D411yescharacteristic
560C2×Dic122C2411yescharacteristic
561C2×Dic122C2411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564SD16×C61—41no—
565SD16×C61—41no—
566SD16×C61—41no—
567M16×C61—41no—
568M16×C61—41no—
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61C2×D411yescharacteristic
590C22⋊C4×C61C2×D411yescharacteristic
591C42×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61C2411yescharacteristic
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614#11758202—41no—
615#11758202—41no—
616#11758201—41no—
617#11758200—22no—
618#11758200—22no—
619#11758200—22no—
620#11758200—41no—
621#11758200—41no—
622#11758200—41no—
623#11758199—41no—
624#11758199—41no—
625#11758199—41no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61C2×D411yescharacteristic
649C4⋊Dic61C2×D411yescharacteristic
650C4⋊Dic61C2×D411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—22no—
696Dic244—22no—
697Dic244—41no—
698Dic244—41no—
699D488—41no—
700#11758190—22no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—42no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61—81no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61C22×D411yescharacteristic
716C23×C61C22×D411yescharacteristic
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—81no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—41no—
733D4×C61—42no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—81no—
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C2511yescharacteristic
754C22⋊D61—41no—
755C22⋊D61—41no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—41no—
774C2×Dic61—41no—
775C2×Dic61—42no—
776C2×Dic61—81no—
777C2×Dic61—81no—
778C2×Dic61—81no—
779C2×Dic61—81no—
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787D244—21no—
788D244—21no—
789D244—21no—
790D244—21no—
791D244—81no—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—42no—
795C4×D61—42no—
796C4×D61—42no—
797C4×D61—81no—
798C4×D61—81no—
799C4×D61—81no—
800Dic122—21no—
801Dic122—21no—
802Dic122—21no—
803Dic122—21no—
804Dic122—21no—
805Dic122—21no—
806Dic122—21no—
807Dic122—41no—
808Dic122—42no—
809Dic122—42no—
810Dic122—81no—
811Dic122—81no—
812Dic122—81no—
813Dic122—81no—
814Dic122H(5,𝔽2)12yes—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—162no—
840C22×C61—162no—
841C22×C61C23×D411yescharacteristic
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61C2×H(5,𝔽2)11yescharacteristic
862C4×C61#58511yescharacteristic
863Dic61—21no—
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—22no—
870Dic61—21no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401—611no—
880#3375—611no—
881#3375—611no—
882#3324—611no—
883#3324D6111yescharacteristic, complemented
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313—611no—
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265—611no—
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224—611no—
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043—611no—
905#3040—611no—
906#2995—611no—
907C2×C61—41no—
908C2×C61—41no—
909C2×C61—81no—
910C2×C61—81no—
911C2×C61—81no—
912C2×C61#348811yescharacteristic
913C2×C61#358511yescharacteristic
914C2×C61#358611yescharacteristic
915D61—41no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137—611no—
921C2×AGL(1,ℤ/8)—611no—
922C22×SD16—611no—
923C22×SD16—611no—
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559—611no—
928Q82—611no—
929#556—611no—
930#556—611no—
931#556—1221no—
932#556—1221no—
933#556—1221no—
934#556C2×D6111yescharacteristic, complemented
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548—611no—
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42C2×D6111yescharacteristic
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—1221no—
953#542—1221no—
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535—611no—
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519—611no—
968C4×#41—611no—
969#497—611no—
970#497—611no—
971#496—611no—
972#496—611no—
973#495—611no—
974#495—611no—
975#489—611no—
976#489—611no—
977#489—611no—
978#489—611no—
979#486—611no—
980#486C2×D6111yescharacteristic
981#485—611no—
982#485—611no—
983#482—611no—
984#482—611no—
985#482C2×D6111yescharacteristic
986#482C2×D6111yescharacteristic, complemented
987#477—611no—
988#477—611no—
989#477—611no—
990#477—611no—
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474C2×D6111yescharacteristic, complemented
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468C2×D6111yescharacteristic
1004#468C2×D6111yescharacteristic, complemented
1005#467—611no—
1006#467—611no—
1007#466—611no—
1008#466—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#461—611no—
1030#461—611no—
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451—611no—
1045#450—611no—
1046#450—611no—
1047#450C2×D6111yescharacteristic
1048#450C2×D6111yescharacteristic, complemented
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#447—611no—
1057#446—611no—
1058#446—611no—
1059#442—611no—
1060#442—611no—
1061#441—611no—
1062#441—611no—
1063#440—611no—
1064#440—611no—
1065#440—611no—
1066#440—611no—
1067C4×Q16—611no—
1068C4×Q16—611no—
1069C4×SD16—611no—
1070C4×SD16C2×D6111yescharacteristic, complemented
1071#436—611no—
1072#436C2×D6111yescharacteristic, complemented
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#433—611no—
1078#433—611no—
1079#432—611no—
1080#424—611no—
1081#424—611no—
1082#423—611no—
1083#419—611no—
1084#418—611no—
1085#418C2×D6111yescharacteristic
1086#418C2×D6111yescharacteristic, complemented
1087#416—611no—
1088#416—611no—
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41—1221no—
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8—611no—
1097C22×D4—21no—
1098C22×D4—611no—
1099C22×D4—1221no—
1100C22×D4C22×D6111yescharacteristic
1101C22×D4C22×D6111yescharacteristic
1102#137—2442no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×Q16—611no—
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—2442no—
1124C2×SD16—2442no—
1125C2×SD16C22×D6111yescharacteristic
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16C22×D6111yescharacteristic
1135C2×M16C22×D6111yescharacteristic
1136C22×C8—611no—
1137C22×C8—611no—
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—1221no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8C22×D6111yescharacteristic
1147#127—611no—
1148#127—611no—
1149#127C22×D6111yescharacteristic
1150#126—21no—
1151#126—21no—
1152#126—611no—
1153#126—611no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—21no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—611no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#123—611no—
1191#123—611no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8C22×D6111yescharacteristic
1220C22⋊Q8C22×D6111yescharacteristic
1221#121—21no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121C22×D6111yescharacteristic
1241#121C22×D6111yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—21no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4C22×D6111yescharacteristic
1289C4×D4C22×D6111yescharacteristic
1290#117—611no—
1291#117—611no—
1292#117—611no—
1293#117—1221no—
1294#117—1221no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117C22×D6111yescharacteristic
1302#117C22×D6111yescharacteristic
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#107C22×D6111yescharacteristic
1314#107C22×D6111yescharacteristic
1315#106—611no—
1316#106C22×D6111yescharacteristic
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102C22×D6111yescharacteristic
1351#102C22×D6111yescharacteristic
1352#102C22×D6111yescharacteristic
1353#102C22×D6111yescharacteristic
1354#102C22×D6111yescharacteristic
1355#102C22×D6111yescharacteristic
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8C22×D6111yescharacteristic
1364C22⋊C8C22×D6111yescharacteristic
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97—611no—
1369C4×C8—611no—
1370C4×C8C22×D6111yescharacteristic
1371C24—21no—
1372C24—21no—
1373C24—1221no—
1374#41—1222no—
1375#41—4882no—
1376#41—2441no—
1377#41—2441no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—611no—
1383C2×Q8—611no—
1384C2×Q8—611no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—1221no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1222no—
1392C2×Q8—1221no—
1393C2×Q8—1221no—
1394C2×Q8—1222no—
1395C2×Q8—2441no—
1396C2×Q8—2441no—
1397C2×Q8—2441no—
1398C2×Q8—2441no—
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—82no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—4882no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4D4×D6111yescharacteristic
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451Q16—1222no—
1452Q16—1222no—
1453Q16—2441no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—1222no—
1461SD16—1222no—
1462SD16—1222no—
1463SD16—1222no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—2441no—
1472D8—2441no—
1473D8—2441no—
1474D8—2441no—
1475M16—41no—
1476M16—41no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—611no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—2441no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4D4×D6111yescharacteristic
1523C4⋊C4C23×D6111yescharacteristic
1524C4⋊C4C23×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—611no—
1578C42—611no—
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—1221no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—611no—
1603C23—1221no—
1604C23—1221no—
1605C23—4881no—
1606C23—4881no—
1607C23—4881no—
1608C23C2×D4×D6111yescharacteristic
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—612no—
1614Q8—1221no—
1615Q8—1221no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627Q8—2442no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—1221no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—2441no—
1656D4—2441no—
1657D4—2442no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—81no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—611no—
1675C2×C4—611no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—4881no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—4881no—
1691C2×C4—2442no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2441no—
1695C2×C4—2441no—
1696C2×C4—2442no—
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—162no—
1727C22—1221no—
1728C22—1221no—
1729C22—1221no—
1730C22—9762no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—1221no—
1748C4—1222no—
1749C4—1221no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—1221no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4H(5,𝔽2)×D6111yescharacteristic
1761C4#1684059811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—4881no—
1768C2—4881no—
1769C2—2441no—
1770C2#2145948211yescharacteristic
1771C2#2146059511yescharacteristic
1772C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3324C2
socleC22×C61C23×D4
hypercenter#3324D61
hypocenterC61#62092
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. #21460333C2semidirect
2. #21459829C2semidirect
3. #21458881C2semidirect
4. #21458878C2semidirect
5. #21458638C2semidirect
6. #21458636C2semidirect
7. #21458046C2semidirect
8. #21457976C2semidirect
9. #21457973C2semidirect
10. #21457888C2semidirect
11. #21457879C2semidirect
12. #21457477C2semidirect
13. #21457473C2semidirect
14. #21457336C2semidirect
15. #21457333C2semidirect
16. #21457312C2semidirect
17. #21457310C2semidirect
18. #21457279C2semidirect
19. #21457276C2semidirect
20. #21457201C2semidirect
21. #21456917C2semidirect
22. #21456916C2semidirect
23. #21456819C2semidirect
24. #21456044C2semidirect
25. #21456043C2semidirect
26. #21455965C2semidirect
27. #21455339C2semidirect
28. #21455335C2semidirect
29. #21455312C2semidirect
30. #21454983C2semidirect
31. C61×#3324C2semidirect
32. C2×#14519810C22semidirect
33. C2×#14519810C22semidirect
34. C2×#14519806C22semidirect
36. C22×#11758200C22semidirect
37. C2×SD16×D61C22semidirect
42. #16840492C22semidirect
44. #16840484C22semidirect
45. #16840480C22semidirect
48. #16840475C22semidirect
50. #16840425C22semidirect
51. #16840422C22semidirect
53. #16840421C22semidirect
60. #16840386C22semidirect
61. #16840385C22semidirect
73. #16840314C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
80. #16840230C22semidirect
81. #16840153C22semidirect
82. #16840153C22semidirect
85. #16840146C22semidirect
86. #16840143C22semidirect
87. #16840124C22semidirect
88. #16840120C22semidirect
89. #16840120C22semidirect
90. #16840120C22semidirect
92. #16840106C22semidirect
93. #16840103C22semidirect
94. #16840086C22semidirect
96. #16840056C22semidirect
97. #16840056C22semidirect
98. #16840055C22semidirect
99. #16840054C22semidirect
100. #16840046C22semidirect
101. #16840041C22semidirect
102. #16840041C22semidirect
103. #16840040C22semidirect
104. #16840040C22semidirect
105. #16840010C22semidirect
106. #16840009C22semidirect
107. #16840008C22semidirect
108. #16840008C22semidirect
110. #16840006C22semidirect
111. #16840004C22semidirect
112. #16840001C22semidirect
115. #16839987C22semidirect
116. #16839985C22semidirect
117. #16839985C22semidirect
118. #16839984C22semidirect
119. #16839983C22semidirect
120. #16839983C22semidirect
121. #16839983C22semidirect
122. #16839983C22semidirect
123. #16839983C22semidirect
124. #16839983C22semidirect
125. #16839983C22semidirect
126. #16839983C22semidirect
127. #16839982C22semidirect
128. #16839982C22semidirect
129. #16839979C22semidirect
130. #16839977C22semidirect
131. #16839976C22semidirect
132. #16839976C22semidirect
133. #16839976C22semidirect
134. #16839976C22semidirect
135. #16839966C22semidirect
136. #16839965C22semidirect
139. #16839961C22semidirect
140. #16839961C22semidirect
141. #16839960C22semidirect
143. #16839956C22semidirect
144. #16839925C22semidirect
145. #16839922C22semidirect
146. #16839920C22semidirect
147. #16839920C22semidirect
148. #16839919C22semidirect
149. #16839917C22semidirect
150. #16839914C22semidirect
152. #16839909C22semidirect
153. #16839909C22semidirect
154. #16839908C22semidirect
155. #16839905C22semidirect
158. #16839897C22semidirect
159. #16839896C22semidirect
160. #16839892C22semidirect
161. #16839891C22semidirect
162. #16839873C22semidirect
163. #16839871C22semidirect
164. #16839868C22semidirect
165. #16839867C22semidirect
166. #16839862C22semidirect
167. #16839861C22semidirect
168. #16839859C22semidirect
169. #16839859C22semidirect
170. C4×Dic244C22semidirect
171. #16839856C22semidirect
172. #16839853C22semidirect
173. #16839838C22semidirect
174. #16839836C22semidirect
175. #16839834C22semidirect
176. #16839831C22semidirect
177. #16839830C22semidirect
178. #16839821C22semidirect
179. #16839820C22semidirect
180. #16839816C22semidirect
181. #16839790C22semidirect
182. #16839787C22semidirect
183. #16839785C22semidirect
184. #16839770C22semidirect
185. #16839765C22semidirect
186. #16839756C22semidirect
187. #16839755C22semidirect
188. C61×#556C22semidirect
192. C61×#482C22semidirect
193. C61×#474C22semidirect
195. C61×#468C22semidirect
198. C61×#450C22semidirect
199. C4×SD16×C61C22semidirect
200. C61×#436C22semidirect
202. C61×#418C22semidirect
883. #3324D61semidirect
934. #556C2×D61semidirect
986. #482C2×D61semidirect
996. #474C2×D61semidirect
1004. #468C2×D61semidirect
1048. #450C2×D61semidirect
1070. C4×SD16C2×D61semidirect
1072. #436C2×D61semidirect
1086. #418C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603332
#214598292
#214588812
#214588782
#214586382
#214586362
#214580462
#214579762
#214579732
#214578882
#214578792
#214574772
#214574732
#214573362
#214573332
#214573122
#214573102
#214572792
#214572762
#214572012
#214569172
#214569162
#214568192
#214560442
#214560432
#214559652
#214553392
#214553352
#214553122
#214549832
C61×#33242
#6209261