Finite Group Databasebeta

← #29888338

Subgroups — #29888338

Order 15616.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454110C211yesmaximal, characteristic, complemented
2#21454098C211yesmaximal, characteristic, complemented
3#21453442C211yesmaximal, characteristic, complemented
4#21453439C211yesmaximal, characteristic, complemented
5#21453195C211yesmaximal, characteristic, complemented
6#21453061C211yesmaximal, characteristic, complemented
7#21453046C211yesmaximal, characteristic, complemented
8#21453035C211yesmaximal, characteristic, complemented
9#21452953C211yesmaximal, characteristic, complemented
10#21452455C211yesmaximal, characteristic, complemented
11#21452382C211yesmaximal, characteristic, complemented
12#21452375C211yesmaximal, characteristic, complemented
13#21452261C211yesmaximal, characteristic, complemented
14#21452254C211yesmaximal, characteristic, complemented
15#21452199C211yesmaximal, characteristic, complemented
16#21452140C211yesmaximal, characteristic, complemented
17#21452125C211yesmaximal, characteristic, complemented
18#21452023C211yesmaximal, characteristic, complemented
19#21451774C211yesmaximal, characteristic, complemented
20#21451752C211yesmaximal, characteristic, complemented
21#21450383C211yesmaximal, characteristic, complemented
22#21449950C211yesmaximal, characteristic, complemented
23#21449565C211yesmaximal, characteristic, complemented
24#21449480C211yesmaximal, characteristic, complemented
25#21449361C211yesmaximal, characteristic, complemented
26#21449194C211yesmaximal, characteristic, complemented
27#21449129C211yesmaximal, characteristic, complemented
28#21448480C211yesmaximal, characteristic, complemented
29#21448397C211yesmaximal, characteristic, complemented
30C2×#16839638C211yesmaximal, characteristic, complemented
31C61×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic, complemented
34C2×#14519763C2211yescharacteristic, complemented
35C2×#14519759C2211yescharacteristic, complemented
36C2×#14519759C2211yescharacteristic, complemented
37C2×#14519756C2211yescharacteristic, complemented
38C2×#14519754C2211yescharacteristic, complemented
39C2×#14519749C2211yescharacteristic, complemented
40C2×#14519749C2211yescharacteristic, complemented
41C2×#14519749C2211yescharacteristic, complemented
42C2×#14519748C2211yescharacteristic, complemented
43C2×#14519748C2211yescharacteristic, complemented
44C2×#14519746C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48C2×#14519745C2211yescharacteristic, complemented
49C2×D4×Dic61C2211yescharacteristic, complemented
50C22×C22⋊Dic61C2211yescharacteristic
51C22×C22⋊Dic61C2211yescharacteristic
52C22×#11758198C2211yescharacteristic, complemented
53C61⋊#401C2211yescharacteristic, complemented
54C61⋊#401C2211yescharacteristic, complemented
55#16839704C2211yescharacteristic, complemented
56#16839704C2211yescharacteristic, complemented
57#16839703C2211yescharacteristic, complemented
58#16839702C2211yescharacteristic, complemented
59#16839701C2211yescharacteristic, complemented
60#16839700C2211yescharacteristic, complemented
61#16839700C2211yescharacteristic, complemented
62#16839698C2211yescharacteristic, complemented
63#16839691C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic, complemented
67#16839690C2211yescharacteristic, complemented
68#16839687C2211yescharacteristic, complemented
69#16839687C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839687C2211yescharacteristic, complemented
73#16839685C2211yescharacteristic, complemented
74#16839685C2211yescharacteristic, complemented
75#16839685C2211yescharacteristic, complemented
76#16839684C2211yescharacteristic, complemented
77#16839678C2211yescharacteristic, complemented
78#16839678C2211yescharacteristic, complemented
79#16839677C2211yescharacteristic
80#16839677C2211yescharacteristic
81#16839677C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic, complemented
83#16839676C2211yescharacteristic, complemented
84#16839676C2211yescharacteristic, complemented
85#16839676C2211yescharacteristic, complemented
86#16839675C2211yescharacteristic, complemented
87#16839674C2211yescharacteristic, complemented
88#16839674C2211yescharacteristic, complemented
89#16839674C2211yescharacteristic, complemented
90#16839670C2211yescharacteristic
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic
93#16839670C2211yescharacteristic
94#16839670C2211yescharacteristic
95#16839670C2211yescharacteristic
96#16839670C2211yescharacteristic, complemented
97#16839665C2211yescharacteristic, complemented
98#16839665C2211yescharacteristic, complemented
99#16839662C2211yescharacteristic, complemented
100#16839662C2211yescharacteristic, complemented
101#16839656C2211yescharacteristic, complemented
102#16839655C2211yescharacteristic, complemented
103#16839655C2211yescharacteristic, complemented
104#16839655C2211yescharacteristic, complemented
105#16839655C2211yescharacteristic, complemented
106#16839655C2211yescharacteristic, complemented
107#16839654C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839651C2211yescharacteristic, complemented
110#16839650C2211yescharacteristic, complemented
111#16839647C2211yescharacteristic, complemented
112#16839643C2211yescharacteristic, complemented
113#16839642C2211yescharacteristic
114#16839642C2211yescharacteristic
115#16839642C2211yescharacteristic
116#16839642C2211yescharacteristic
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839642C2211yescharacteristic, complemented
120#16839642C2211yescharacteristic, complemented
121#16839642C2211yescharacteristic, complemented
122#16839642C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic, complemented
124#16839642C2211yescharacteristic, complemented
125#16839642C2211yescharacteristic, complemented
126#16839642C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic, complemented
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839639C2211yescharacteristic, complemented
131#16839639C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic, complemented
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic, complemented
139#16839638C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839636C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839635C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839634C2211yescharacteristic, complemented
154#16839634C2211yescharacteristic, complemented
155#16839629C2211yescharacteristic, complemented
156#16839625C2211yescharacteristic, complemented
157#16839625C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839623C2211yescharacteristic, complemented
161#16839622C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839619C2211yescharacteristic, complemented
164#16839619C2211yescharacteristic, complemented
165#16839618C2211yescharacteristic
166#16839618C2211yescharacteristic, complemented
167#16839618C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C23×D4×C61C2211yescharacteristic
173C2×#121×C61C2211yescharacteristic
174C2×#121×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic, complemented
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#394C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#392C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#379C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×C22⋊D61—24no—
190C22×C22⋊D61—42no—
191C22×C22⋊D61—42no—
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C22×C4×D61—42no—
209C22×C4×D61—42no—
210C22×C4×D61—42no—
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215#14519763—42no—
216#14519759—42no—
217#14519759—42no—
218#14519756—42no—
219#14519754—42no—
220#14519749—42no—
221#14519749—42no—
222#14519749—42no—
223#14519748—42no—
224#14519748—42no—
225#14519746—42no—
226#14519746—42no—
227#14519745—42no—
228#14519745—42no—
229#14519745—42no—
230D4×Dic61—42no—
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×C22⋊Dic61—42no—
246C2×C22⋊Dic61—42no—
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×#11758198—42no—
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332C25×C61C2311yescharacteristic
333C25×C61C2311yescharacteristic
334C22×D4×C61—24no—
335C22×D4×C61—42no—
336C22×D4×C61—42no—
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C23×C4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349#121×C61—42no—
350#121×C61—42no—
351#120×C61—24no—
352#120×C61—42no—
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61—42no—
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61—41no—
383C24×C61—41no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61#4114yes—
389C24×C61C2411yescharacteristic
390C24×C61C2411yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—22no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—416no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—22no—
435C22×C4×C61—22no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—416no—
481C22×Dic61—22no—
482C22×Dic61—22no—
483C22×Dic61—22no—
484C22×Dic61—41no—
485C22×Dic61—41no—
486C22×Dic61—41no—
487C22×Dic61—41no—
488C22×Dic61—41no—
489C22×Dic61—41no—
490C22×Dic61—41no—
491C22×Dic61—41no—
492C22×Dic61—41no—
493C22×Dic61—41no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C22×Dic61C2411yescharacteristic
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—416no—
526C2×Dic122—41no—
527C2×Dic122—41no—
528C2×Dic122—41no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61—41no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—41no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591C4⋊Dic61—22no—
592C4⋊Dic61—41no—
593C4⋊Dic61—41no—
594C4⋊Dic61—41no—
595C4⋊Dic61—41no—
596C4⋊Dic61—41no—
597#11758196—22no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604#11758196—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—28no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—44no—
647C23×C61—44no—
648C23×C61—44no—
649C23×C61—82no—
650C23×C61—82no—
651C23×C61—82no—
652C23×C61—82no—
653C23×C61—82no—
654C23×C61—82no—
655C23×C61—82no—
656C23×C61—82no—
657C23×C61—82no—
658C23×C61—82no—
659C23×C61C2×#4112yes—
660C23×C61C2×#4112yes—
661C23×C61C2×#4112yes—
662C23×C61H(5,𝔽2)12yes—
663C23×C61H(5,𝔽2)12yes—
664C23×C61C2511yescharacteristic
665C22×D61—28no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—44no—
679C22×D61—44no—
680C22×D61—44no—
681C22×D61—44no—
682C22×D61—44no—
683C22×D61—44no—
684C22×D61H(5,𝔽2)12yes—
685C22×D61H(5,𝔽2)12yes—
686D4×C61—44no—
687D4×C61—44no—
688D4×C61—44no—
689D4×C61—44no—
690D4×C61—44no—
691D4×C61—82no—
692D4×C61—82no—
693D4×C61—82no—
694D4×C61—82no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—44no—
722C2×C4×C61—44no—
723C2×C4×C61—82no—
724C2×C4×C61H(5,𝔽2)12yes—
725C22⋊D61—44no—
726C22⋊D61—44no—
727C22⋊D61—44no—
728C22⋊D61—44no—
729C22⋊D61—82no—
730C22⋊D61—82no—
731C22⋊D61—82no—
732C22⋊D61—82no—
733C22⋊D61—82no—
734C22⋊D61—82no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—44no—
778C2×Dic61—44no—
779C2×Dic61—82no—
780C2×Dic61—82no—
781C2×Dic61—82no—
782C2×Dic61—82no—
783C4×D61—44no—
784C4×D61—44no—
785C4×D61—44no—
786C4×D61—44no—
787Dic122—82no—
788#36776—611nomaximal, Sylow
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—22no—
796C22×C61—22no—
797C22×C61—22no—
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—88no—
831C22×C61—88no—
832C22×C61#53814yes—
833C22×C61C22×#4111yescharacteristic
834C22×C61C2×H(5,𝔽2)11yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61C2×H(5,𝔽2)11yescharacteristic
837C22×C61C2×H(5,𝔽2)11yescharacteristic
838C22×C61C2×H(5,𝔽2)11yescharacteristic
839C22×C61#58511yescharacteristic
840C2×D61—22no—
841C2×D61—22no—
842C2×D61—22no—
843C2×D61—22no—
844C2×D61—22no—
845C2×D61—22no—
846C2×D61—416no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C4×C61—22no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878#2849—611no—
879#2847—611no—
880#2778—611no—
881#2778—611no—
882#2760—611no—
883#2750—611no—
884#2749—611no—
885#2749—611no—
886#2743—611no—
887#2703—611no—
888#2697—611no—
889#2696—611no—
890#2688—611no—
891#2688—611no—
892#2684—611no—
893#2678—611no—
894#2676—611no—
895#2668—611no—
896#2643—611no—
897#2639—611no—
898#2510—611no—
899#2472—611no—
900#2444—611no—
901#2437—611no—
902#2424—611no—
903#2410—611no—
904#2410D6111yescharacteristic, complemented
905#2403—611no—
906#2321—611no—
907#2308—611no—
908C2×#386—611no—
909C2×C61—24no—
910C2×C61—42no—
911C2×C61—42no—
912C2×C61—81no—
913C2×C61—81no—
914C2×C61—81no—
915C2×C61C2×#53811yescharacteristic
916C2×C61#349011yescharacteristic
917C2×C61#350511yescharacteristic
918C2×C61#353211yescharacteristic
919C2×C61#353411yescharacteristic
920C2×C61#353411yescharacteristic
921C2×C61#353711yescharacteristic
922D61—42no—
923D61—42no—
924C23×D4—611no—
925C23×D4C2×D6111yescharacteristic
926C24×C4—611no—
927C2×#124—611no—
928C2×#123—611no—
929C2×#123—611no—
930C2×C22⋊Q8—611no—
931C2×C22⋊Q8—611no—
932C2×#121—611no—
933C2×#121—611no—
934C2×#121—611no—
935C2×#121—611no—
936C2×#121—611no—
937C2×#121C2×D6111yescharacteristic
938C2×#121C2×D6111yescharacteristic
939C2×#120—611no—
940C2×#120—611no—
941C2×#120—611no—
942C2×#120—611no—
943C2×#120—611no—
944C2×#120C2×D6111yescharacteristic
945C2×#120C2×D6111yescharacteristic, complemented
946C2×C4×D4—611no—
947C22×C22⋊C4—611no—
948C22×C22⋊C4—611no—
949C22×C22⋊C4—611no—
950C22×C22⋊C4C2×D6111yescharacteristic
951#401—611no—
952#401—611no—
953#400—611no—
954#400—611no—
955#400—611no—
956#400—611no—
957#400—611no—
958#400—611no—
959#400—611no—
960#399—611no—
961#397—611no—
962#397—611no—
963#397—611no—
964#397—611no—
965#397—611no—
966#397—611no—
967#397—611no—
968#397—611no—
969#397—611no—
970#397—611no—
971#396—611no—
972#396—611no—
973#396—611no—
974#396—611no—
975#394—611no—
976#394—611no—
977#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#394—611no—
983#394—611no—
984#394C2×D6111yescharacteristic, complemented
985#394C2×D6111yescharacteristic, complemented
986#393—611no—
987#393—611no—
988#393—611no—
989#393—611no—
990#392—611no—
991#392—611no—
992#392—611no—
993#392—611no—
994#392—611no—
995#392—611no—
996#392—611no—
997#392C2×D6111yescharacteristic, complemented
998#392C2×D6111yescharacteristic, complemented
999#390—611no—
1000#390—611no—
1001#390—611no—
1002#390—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#388—611no—
1012#388—611no—
1013#387—611no—
1014#387—611no—
1015#386—611no—
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#386—611no—
1048#386—611no—
1049#386C2×D6111yescharacteristic
1050#386C2×D6111yescharacteristic
1051#386C2×D6111yescharacteristic, complemented
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#385—611no—
1058#385—611no—
1059#385—611no—
1060#385C2×D6111yescharacteristic, complemented
1061#383—611no—
1062#381—611no—
1063#381—611no—
1064#381—611no—
1065#381—611no—
1066#381—611no—
1067#380—611no—
1068#380—611no—
1069#380—611no—
1070#380—611no—
1071#379—611no—
1072#379—611no—
1073#379—611no—
1074#379—611no—
1075#379C2×D6111yescharacteristic, complemented
1076C4×C22⋊C4—611no—
1077C2×#95—611no—
1078C2×#95—611no—
1079C61#3677611yescharacteristic, complemented, Sylow
1080C25—611no—
1081C25C22×D6111yescharacteristic
1082C25C22×D6111yescharacteristic
1083C22×Q8—611no—
1084C22×D4—24no—
1085C22×D4—42no—
1086C22×D4—42no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—1224no—
1098C22×D4—2442no—
1099C22×D4—2442no—
1100C22×D4C22×D6111yescharacteristic
1101C22×D4C22×D6111yescharacteristic
1102C22×D4C22×D6111yescharacteristic
1103C22×D4C22×D6111yescharacteristic
1104C22×D4C22×D6111yescharacteristic
1105C22×D4C22×D6111yescharacteristic
1106C22×D4C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—2442no—
1120C23×C4—2442no—
1121C23×C4—2442no—
1122C23×C4C22×D6111yescharacteristic
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#124—2442no—
1126#123—2442no—
1127#123—2442no—
1128C22⋊Q8—2442no—
1129C22⋊Q8—2442no—
1130#121—42no—
1131#121—42no—
1132#121—2442no—
1133#121—2442no—
1134#121—2442no—
1135#121—2442no—
1136#121—2442no—
1137#120—24no—
1138#120—42no—
1139#120—2442no—
1140#120—2442no—
1141#120—2442no—
1142#120—2442no—
1143#120—2442no—
1144C4×D4—2442no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4C22×D6111yescharacteristic
1160C2×C4⋊C4C22×D6111yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—2442no—
1208C2×C22⋊C4—2442no—
1209C2×C22⋊C4—2442no—
1210C2×C22⋊C4C22×D6111yescharacteristic
1211C2×C22⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C22⋊C4C22×D6111yescharacteristic
1220C2×C22⋊C4C22×D6111yescharacteristic
1221C2×C22⋊C4C22×D6111yescharacteristic
1222C2×C22⋊C4C22×D6111yescharacteristic
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95C22×D6111yescharacteristic
1265#95C22×D6111yescharacteristic
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—611no—
1282C24—611no—
1283C24—1222no—
1284C24—1222no—
1285C24—1222no—
1286C24—1222no—
1287C24—1222no—
1288C24—2441no—
1289C24—2441no—
1290C24#1175822414yes—
1291C24C23×D6111yescharacteristic
1292C24C23×D6111yescharacteristic
1293C24C23×D6111yescharacteristic
1294C24C23×D6111yescharacteristic
1295C24C23×D6111yescharacteristic
1296C24C23×D6111yescharacteristic
1297C2×Q8—2441no—
1298C2×Q8—2441no—
1299C2×Q8—2441no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—416no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—24416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
1380C22×C4—611no—
1381C22×C4—611no—
1382C22×C4—1222no—
1383C22×C4—1222no—
1384C22×C4—1222no—
1385C22×C4—1222no—
1386C22×C4—1222no—
1387C22×C4—1222no—
1388C22×C4—1222no—
1389C22×C4—2441no—
1390C22×C4—2441no—
1391C22×C4—2441no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—24416no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—2441no—
1401C22×C4—2441no—
1402C22×C4—2441no—
1403C22×C4—2441no—
1404C22×C4—2441no—
1405C22×C4—2441no—
1406C22×C4—2441no—
1407C22×C4—2441no—
1408C22×C4—2441no—
1409C22×C4—2441no—
1410C22×C4—2441no—
1411C22×C4—2441no—
1412C22×C4—2441no—
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C22×C4C23×D6111yescharacteristic
1417C22×C4C23×D6111yescharacteristic
1418C22×C4C23×D6111yescharacteristic
1419C22×C4C23×D6111yescharacteristic
1420C22×C4C23×D6111yescharacteristic
1421C22×C4C23×D6111yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—1222no—
1425C4⋊C4—1222no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C4⋊C4—2441no—
1430C4⋊C4—2441no—
1431C4⋊C4—2441no—
1432C4⋊C4—2441no—
1433C4⋊C4—2441no—
1434C4⋊C4—2441no—
1435C4⋊C4—2441no—
1436C4⋊C4—2441no—
1437C4⋊C4—2441no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—1222no—
1456C22⋊C4—1222no—
1457C22⋊C4—1222no—
1458C22⋊C4—1222no—
1459C22⋊C4—1222no—
1460C22⋊C4—1222no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C42—2441no—
1499C42—2441no—
1500C42—2441no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—82no—
1551C23—82no—
1552C23—612no—
1553C23—612no—
1554C23—1228no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—2444no—
1568C23—2444no—
1569C23—2444no—
1570C23—2444no—
1571C23—2444no—
1572C23—2444no—
1573C23C2×#1175822412yes—
1574C23C2×#1175822412yes—
1575C23C2×#1175822412yes—
1576C23#1451982212yes—
1577C23#1451982212yes—
1578C23C24×D6111yescharacteristic
1579Q8—4882no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—82no—
1586D4—82no—
1587D4—82no—
1588D4—82no—
1589D4—4882no—
1590D4—4882no—
1591D4—4882no—
1592D4—4882no—
1593D4—4882no—
1594D4—4882no—
1595D4—2444no—
1596D4—2444no—
1597D4—2444no—
1598D4—2444no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—82no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—4882no—
1671C2×C4—4882no—
1672C2×C4—4882no—
1673C2×C4—4882no—
1674C2×C4—2444no—
1675C2×C4—2444no—
1676C2×C4—2444no—
1677C2×C4—2444no—
1678C2×C4—2444no—
1679C2×C4—2444no—
1680C2×C4#1451982212yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—88no—
1723C22—88no—
1724C22—1222no—
1725C22—1222no—
1726C22—1222no—
1727C22—1222no—
1728C22—1222no—
1729C22—1222no—
1730C22—24416no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22#1684034714yes—
1740C22C22×#1175822411yescharacteristic
1741C22H(5,𝔽2)×D6111yescharacteristic
1742C22H(5,𝔽2)×D6111yescharacteristic
1743C22C2×#1451982211yescharacteristic
1744C22C2×#1451982211yescharacteristic
1745C22C2×#1451982211yescharacteristic
1746C22#1684059811yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4—2441no—
1761C4—2441no—
1762C4—2441no—
1763C4—2441no—
1764C4—2441no—
1765C4—2441no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—81no—
1776C2—2442no—
1777C2—2442no—
1778C2C2×#1684034711yescharacteristic
1779C2#2145950711yescharacteristic
1780C2#2145965311yescharacteristic
1781C2#2145996911yescharacteristic
1782C2#2146000111yescharacteristic
1783C2#2146000411yescharacteristic
1784C2#2146005011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2410C2
hypercenter#2410D61
hypocenterC61#36776
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. #21454110C2semidirect
2. #21454098C2semidirect
3. #21453442C2semidirect
4. #21453439C2semidirect
5. #21453195C2semidirect
6. #21453061C2semidirect
7. #21453046C2semidirect
8. #21453035C2semidirect
9. #21452953C2semidirect
10. #21452455C2semidirect
11. #21452382C2semidirect
12. #21452375C2semidirect
13. #21452261C2semidirect
14. #21452254C2semidirect
15. #21452199C2semidirect
16. #21452140C2semidirect
17. #21452125C2semidirect
18. #21452023C2semidirect
19. #21451774C2semidirect
20. #21451752C2semidirect
21. #21450383C2semidirect
22. #21449950C2semidirect
23. #21449565C2semidirect
24. #21449480C2semidirect
25. #21449361C2semidirect
26. #21449194C2semidirect
27. #21449129C2semidirect
28. #21448480C2semidirect
29. #21448397C2semidirect
30. C2×#16839638C2semidirect
31. C61×#2410C2semidirect
33. C23×C4×D61C22semidirect
34. C2×#14519763C22semidirect
35. C2×#14519759C22semidirect
36. C2×#14519759C22semidirect
37. C2×#14519756C22semidirect
38. C2×#14519754C22semidirect
39. C2×#14519749C22semidirect
40. C2×#14519749C22semidirect
41. C2×#14519749C22semidirect
42. C2×#14519748C22semidirect
43. C2×#14519748C22semidirect
48. C2×#14519745C22semidirect
49. C2×D4×Dic61C22semidirect
52. C22×#11758198C22semidirect
53. C61⋊#401C22semidirect
54. C61⋊#401C22semidirect
55. #16839704C22semidirect
56. #16839704C22semidirect
57. #16839703C22semidirect
58. #16839702C22semidirect
59. #16839701C22semidirect
60. #16839700C22semidirect
61. #16839700C22semidirect
62. #16839698C22semidirect
63. #16839691C22semidirect
64. #16839690C22semidirect
65. #16839690C22semidirect
66. #16839690C22semidirect
67. #16839690C22semidirect
68. #16839687C22semidirect
69. #16839687C22semidirect
70. #16839687C22semidirect
71. #16839687C22semidirect
72. #16839687C22semidirect
73. #16839685C22semidirect
74. #16839685C22semidirect
75. #16839685C22semidirect
76. #16839684C22semidirect
77. #16839678C22semidirect
78. #16839678C22semidirect
81. #16839677C22semidirect
82. #16839677C22semidirect
83. #16839676C22semidirect
84. #16839676C22semidirect
85. #16839676C22semidirect
86. #16839675C22semidirect
87. #16839674C22semidirect
88. #16839674C22semidirect
89. #16839674C22semidirect
96. #16839670C22semidirect
97. #16839665C22semidirect
98. #16839665C22semidirect
99. #16839662C22semidirect
100. #16839662C22semidirect
101. #16839656C22semidirect
102. #16839655C22semidirect
103. #16839655C22semidirect
104. #16839655C22semidirect
105. #16839655C22semidirect
106. #16839655C22semidirect
107. #16839654C22semidirect
108. #16839652C22semidirect
109. #16839651C22semidirect
110. #16839650C22semidirect
111. #16839647C22semidirect
112. #16839643C22semidirect
119. #16839642C22semidirect
120. #16839642C22semidirect
121. #16839642C22semidirect
122. #16839642C22semidirect
123. #16839642C22semidirect
124. #16839642C22semidirect
125. #16839642C22semidirect
126. #16839642C22semidirect
127. #16839642C22semidirect
130. #16839639C22semidirect
131. #16839639C22semidirect
132. #16839639C22semidirect
137. #16839638C22semidirect
138. #16839638C22semidirect
139. #16839638C22semidirect
140. #16839638C22semidirect
141. #16839638C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839637C22semidirect
148. #16839637C22semidirect
149. #16839636C22semidirect
150. #16839636C22semidirect
151. #16839635C22semidirect
152. #16839635C22semidirect
153. #16839634C22semidirect
154. #16839634C22semidirect
155. #16839629C22semidirect
156. #16839625C22semidirect
157. #16839625C22semidirect
158. #16839624C22semidirect
159. #16839624C22semidirect
160. #16839623C22semidirect
161. #16839622C22semidirect
162. #16839620C22semidirect
163. #16839619C22semidirect
164. #16839619C22semidirect
166. #16839618C22semidirect
167. #16839618C22semidirect
168. #16839617C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
176. C2×#120×C61C22semidirect
178. C61×#394C22semidirect
179. C61×#394C22semidirect
180. C61×#392C22semidirect
181. C61×#392C22semidirect
184. C61×#386C22semidirect
185. C61×#385C22semidirect
186. C61×#379C22semidirect
904. #2410D61semidirect
945. C2×#120C2×D61semidirect
984. #394C2×D61semidirect
985. #394C2×D61semidirect
997. #392C2×D61semidirect
998. #392C2×D61semidirect
1051. #386C2×D61semidirect
1060. #385C2×D61semidirect
1075. #379C2×D61semidirect
1079. C61#36776semidirect

Maximal subgroups

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

subgroupindex
#214541102
#214540982
#214534422
#214534392
#214531952
#214530612
#214530462
#214530352
#214529532
#214524552
#214523822
#214523752
#214522612
#214522542
#214521992
#214521402
#214521252
#214520232
#214517742
#214517522
#214503832
#214499502
#214495652
#214494802
#214493612
#214491942
#214491292
#214484802
#214483972
C2×#168396382
C61×#24102
#3677661