Finite Group Databasebeta

← #29852675

Subgroups — #29852675

Order 15616.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840347C211yesmaximal, characteristic, complemented
2C22×#14519737C211yesmaximal, characteristic, complemented
3#21454132C211yesmaximal, characteristic, complemented
4#21454118C211yesmaximal, characteristic, complemented
5#21454110C211yesmaximal, characteristic, complemented
6#21454098C211yesmaximal, characteristic, complemented
7#21451721C211yesmaximal, characteristic, complemented
8#21451708C211yesmaximal, characteristic, complemented
9#21451676C211yesmaximal, characteristic, complemented
10#21451663C211yesmaximal, characteristic, complemented
11#21450085C211yesmaximal, characteristic, complemented
12#21449950C211yesmaximal, characteristic, complemented
13#21449871C211yesmaximal, characteristic, complemented
14#21449757C211yesmaximal, characteristic, complemented
15#21449712C211yesmaximal, characteristic, complemented
16#21449706C211yesmaximal, characteristic, complemented
17#21449641C211yesmaximal, characteristic, complemented
18#21449575C211yesmaximal, characteristic, complemented
19#21449550C211yesmaximal, characteristic, complemented
20#21449480C211yesmaximal, characteristic, complemented
21#21449361C211yesmaximal, characteristic, complemented
22#21449351C211yesmaximal, characteristic, complemented
23#21449285C211yesmaximal, characteristic, complemented
24#21449194C211yesmaximal, characteristic, complemented
25#21449129C211yesmaximal, characteristic, complemented
26#21448520C211yesmaximal, characteristic, complemented
27#21448474C211yesmaximal, characteristic, complemented
28#21448447C211yesmaximal, characteristic, complemented
29#120×Dic61C211yesmaximal, characteristic, complemented
30C2×#16839642C211yesmaximal, characteristic, complemented
31C61×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic, complemented
35#16840347—28no—
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519770C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40C2×#14519759C2211yescharacteristic, complemented
41C2×#14519759C2211yescharacteristic, complemented
42C2×#14519758C2211yescharacteristic, complemented
43C2×#14519756C2211yescharacteristic, complemented
44C2×#14519754C2211yescharacteristic, complemented
45C2×#14519749C2211yescharacteristic
46C2×#14519749C2211yescharacteristic
47C2×#14519749C2211yescharacteristic, complemented
48C2×#14519748C2211yescharacteristic, complemented
49C2×#14519748C2211yescharacteristic, complemented
50C2×#14519746C2211yescharacteristic
51C2×#14519746C2211yescharacteristic
52C2×#14519745C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×#14519745C2211yescharacteristic, complemented
55C2×D4×Dic61C2211yescharacteristic, complemented
56C2×D4×Dic61C2211yescharacteristic, complemented
57C2×D4×Dic61C2211yescharacteristic, complemented
58C2×#14519737—28no—
59C2×#14519737C2211yescharacteristic
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic
62C2×#14519737C2211yescharacteristic
63C2×#14519737C2211yescharacteristic, complemented
64C2×#14519737C2211yescharacteristic, complemented
65C2×#14519737C2211yescharacteristic, complemented
66C2×#14519737C2211yescharacteristic, complemented
67C22×#11758196C2211yescharacteristic, complemented
68C22×C22⋊Dic61C2211yescharacteristic
69C22×C22⋊Dic61C2211yescharacteristic, complemented
70C22×C22⋊Dic61C2211yescharacteristic, complemented
71C22×#11758198C2211yescharacteristic, complemented
72C22×C4×Dic61C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839702C2211yescharacteristic, complemented
75#16839698C2211yescharacteristic, complemented
76#16839698C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839685C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839678C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic, complemented
90#16839677C2211yescharacteristic, complemented
91#16839676C2211yescharacteristic, complemented
92#16839675C2211yescharacteristic, complemented
93#16839674C2211yescharacteristic, complemented
94#16839670C2211yescharacteristic
95#16839670C2211yescharacteristic
96#16839670C2211yescharacteristic
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic, complemented
99#16839670C2211yescharacteristic, complemented
100#16839670C2211yescharacteristic, complemented
101#16839667C2211yescharacteristic, complemented
102#16839665C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839662C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic, complemented
109#16839656C2211yescharacteristic, complemented
110#16839655C2211yescharacteristic, complemented
111#16839654C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic, complemented
113#16839651C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic, complemented
116#16839650C2211yescharacteristic, complemented
117#16839649C2211yescharacteristic, complemented
118#16839649C2211yescharacteristic, complemented
119#16839647C2211yescharacteristic, complemented
120#16839644C2211yescharacteristic, complemented
121#16839644C2211yescharacteristic, complemented
122#16839643C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic
124#16839642C2211yescharacteristic
125#16839642C2211yescharacteristic
126#16839642C2211yescharacteristic
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic, complemented
130#16839642C2211yescharacteristic, complemented
131#16839642C2211yescharacteristic, complemented
132#16839642C2211yescharacteristic, complemented
133#16839642C2211yescharacteristic, complemented
134#16839642C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic, complemented
136#16839642C2211yescharacteristic, complemented
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic
139#16839639C2211yescharacteristic
140#16839639C2211yescharacteristic
141#16839639C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic, complemented
150#16839637C2211yescharacteristic, complemented
151#16839637C2211yescharacteristic, complemented
152#16839636C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839635C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic, complemented
157#16839634C2211yescharacteristic, complemented
158#16839634C2211yescharacteristic, complemented
159#16839629C2211yescharacteristic, complemented
160#16839627C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic, complemented
163#16839622C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic, complemented
167#16839618C2211yescharacteristic
168#16839617C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C22⋊C4×Dic61C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C23×D4×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic, complemented
179C22×C22⋊C4×C61C2211yescharacteristic
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×C22⋊D61—24no—
192C22×C22⋊D61—24no—
193C22×C22⋊D61—24no—
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C23×Dic61—24no—
205C23×Dic61—42no—
206C23×Dic61—42no—
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C22×C4×D61—24no—
218C22×C4×D61—42no—
219C22×C4×D61—42no—
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224#14519770—24no—
225#14519770—24no—
226#14519764—24no—
227#14519763—24no—
228#14519759—24no—
229#14519759—42no—
230#14519758—24no—
231#14519756—42no—
232#14519754—24no—
233#14519749—24no—
234#14519749—24no—
235#14519749—24no—
236#14519748—24no—
237#14519748—42no—
238#14519746—24no—
239#14519746—24no—
240#14519745—42no—
241#14519745—42no—
242#14519745—42no—
243D4×Dic61—24no—
244D4×Dic61—42no—
245D4×Dic61—42no—
246#14519737—24no—
247#14519737—24no—
248#14519737—24no—
249#14519737—24no—
250#14519737—24no—
251#14519737—24no—
252#14519737—24no—
253#14519737D418yescomplemented
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×#11758196—24no—
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×C22⋊Dic61—24no—
274C2×C22⋊Dic61—42no—
275C2×C22⋊Dic61—42no—
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×#11758198—24no—
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×C4×Dic61—24no—
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C25×C61C2311yescharacteristic
355C25×C61C2311yescharacteristic
356C22×D4×C61—24no—
357C22×D4×C61—42no—
358C22×D4×C61—42no—
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C22×D4×C61C2311yescharacteristic
367C22×D4×C61C2311yescharacteristic
368C23×C4×C61C2311yescharacteristic
369C23×C4×C61C2311yescharacteristic
370C23×C4×C61C2311yescharacteristic
371#121×C61—42no—
372#121×C61—42no—
373#120×C61—24no—
374#120×C61—24no—
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61—24no—
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—22no—
401C24×C61—22no—
402C24×C61—22no—
403C24×C61—22no—
404C24×C61—41no—
405C24×C61—41no—
406C24×C61—41no—
407C24×C61—41no—
408C24×C61—41no—
409C24×C61—41no—
410C24×C61#4114yes—
411C24×C61C2411yescharacteristic
412C24×C61C2411yescharacteristic
413C24×C61C2411yescharacteristic
414C24×C61C2411yescharacteristic
415C24×C61C2411yescharacteristic
416C24×C61C2411yescharacteristic
417C23×D61—22no—
418C23×D61—22no—
419C23×D61—22no—
420C23×D61—22no—
421C23×D61—22no—
422C23×D61—41no—
423C23×D61—41no—
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C2×D4×C61—22no—
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—22no—
439C2×D4×C61—22no—
440C2×D4×C61—22no—
441C2×D4×C61—22no—
442C2×D4×C61—22no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C2×D4×C61—41no—
452C2×D4×C61—41no—
453C2×D4×C61—416no—
454C22×C4×C61—22no—
455C22×C4×C61—22no—
456C22×C4×C61—22no—
457C22×C4×C61—22no—
458C22×C4×C61—22no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—41no—
462C22×C4×C61—41no—
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C2×C22⋊D61—232no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61C2×D414yes—
502C2×C22⋊D61#4114yes—
503C22×Dic61—22no—
504C22×Dic61—22no—
505C22×Dic61—22no—
506C22×Dic61—22no—
507C22×Dic61—22no—
508C22×Dic61—22no—
509C22×Dic61—22no—
510C22×Dic61—22no—
511C22×Dic61—22no—
512C22×Dic61—22no—
513C22×Dic61—22no—
514C22×Dic61—22no—
515C22×Dic61—22no—
516C22×Dic61—22no—
517C22×Dic61—22no—
518C22×Dic61—22no—
519C22×Dic61—41no—
520C22×Dic61—41no—
521C22×Dic61—41no—
522C22×Dic61—41no—
523C22×Dic61—41no—
524C22×Dic61—41no—
525C22×Dic61—41no—
526C22×Dic61—41no—
527C22×Dic61—41no—
528C22×Dic61—41no—
529C22×Dic61—41no—
530C22×Dic61—41no—
531C22×Dic61—41no—
532C22×Dic61—416no—
533C22×Dic61C2×D414yes—
534C22×Dic61C2411yescharacteristic
535C22×Dic61C2411yescharacteristic
536C22×Dic61C2411yescharacteristic
537C22×Dic61C2411yescharacteristic
538C22×Dic61C2411yescharacteristic
539C22×Dic61C2411yescharacteristic
540C22×Dic61C2411yescharacteristic
541C22×Dic61C2411yescharacteristic
542C22×Dic61C2411yescharacteristic
543C22×Dic61C2411yescharacteristic
544C22×Dic61C2411yescharacteristic
545C22×Dic61C2411yescharacteristic
546C22×Dic61C2411yescharacteristic
547C22×Dic61C2411yescharacteristic
548C2×C4×D61—22no—
549C2×C4×D61—22no—
550C2×C4×D61—22no—
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—41no—
554C2×C4×D61—41no—
555C2×C4×D61—41no—
556C2×C4×D61—41no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—416no—
560C2×C4×D61C2×D414yescomplemented
561C2×Dic122—22no—
562C2×Dic122—41no—
563C2×Dic122—41no—
564C4⋊C4×C61—41no—
565C4⋊C4×C61—41no—
566C22⋊C4×C61—22no—
567C22⋊C4×C61—22no—
568C22⋊C4×C61—22no—
569C22⋊C4×C61—22no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—41no—
575C22⋊C4×C61—41no—
576C22⋊C4×C61—41no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61C2×D414yes—
581C22⋊Dic61—22no—
582C22⋊Dic61—22no—
583C22⋊Dic61—22no—
584C22⋊Dic61—22no—
585C22⋊Dic61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—22no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—22no—
592C22⋊Dic61—22no—
593C22⋊Dic61—22no—
594C22⋊Dic61—22no—
595C22⋊Dic61—22no—
596C22⋊Dic61—22no—
597C22⋊Dic61—22no—
598C22⋊Dic61—22no—
599C22⋊Dic61—22no—
600C22⋊Dic61—22no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603C22⋊Dic61—41no—
604C22⋊Dic61—41no—
605C22⋊Dic61—41no—
606C22⋊Dic61—41no—
607C22⋊Dic61—41no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—41no—
614#11758198—41no—
615#11758198—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620#11758198—41no—
621#11758198C2×D414yescomplemented
622C4⋊Dic61—22no—
623C4⋊Dic61—22no—
624C4⋊Dic61—22no—
625C4⋊Dic61—41no—
626C4⋊Dic61—41no—
627C4⋊Dic61—41no—
628#11758196—22no—
629#11758196—22no—
630#11758196—22no—
631#11758196—22no—
632#11758196—22no—
633#11758196—22no—
634#11758196—22no—
635#11758196—41no—
636#11758196—41no—
637#11758196—41no—
638#11758196—41no—
639#11758196C2×D414yescomplemented
640C4×Dic61—22no—
641C4×Dic61—22no—
642C4×Dic61—22no—
643C4×Dic61—22no—
644C4×Dic61—41no—
645C4×Dic61—41no—
646C4×Dic61C2×D414yescomplemented
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—28no—
656C23×C61—28no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—44no—
685C23×C61—44no—
686C23×C61—44no—
687C23×C61—44no—
688C23×C61—44no—
689C23×C61—44no—
690C23×C61—44no—
691C23×C61—44no—
692C23×C61—82no—
693C23×C61—82no—
694C23×C61—82no—
695C23×C61—82no—
696C23×C61C22×D412yes—
697C23×C61C2×#4112yes—
698C23×C61C2×#4112yes—
699C23×C61C2×#4112yes—
700C23×C61C2×#4112yes—
701C23×C61H(5,𝔽2)12yes—
702C23×C61H(5,𝔽2)12yes—
703C23×C61C2511yescharacteristic
704C22×D61—28no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—44no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—44no—
723C22×D61C22×D412yes—
724C22×D61C2×#4112yes—
725D4×C61—44no—
726D4×C61—44no—
727D4×C61—44no—
728D4×C61—44no—
729D4×C61—44no—
730D4×C61—44no—
731D4×C61—44no—
732D4×C61—82no—
733D4×C61—82no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
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—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—44no—
760C2×C4×C61—44no—
761C2×C4×C61—44no—
762C2×C4×C61C22×D412yes—
763C2×C4×C61C22×D412yes—
764C22⋊D61—28no—
765C22⋊D61—28no—
766C22⋊D61—28no—
767C22⋊D61—28no—
768C22⋊D61—82no—
769C22⋊D61—82no—
770C22⋊D61—82no—
771C22⋊D61—82no—
772C22⋊D61—82no—
773C22⋊D61—82no—
774C2×Dic61—28no—
775C2×Dic61—28no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—44no—
814C2×Dic61—44no—
815C2×Dic61—44no—
816C2×Dic61—44no—
817C2×Dic61—44no—
818C2×Dic61—82no—
819C2×Dic61—82no—
820C2×Dic61—82no—
821C2×Dic61C22×D412yes—
822C2×Dic61C22×D412yes—
823C2×Dic61C22×D412yes—
824C2×Dic61C2×#4112yes—
825C2×Dic61H(5,𝔽2)12yes—
826C4×D61—44no—
827C4×D61—44no—
828C4×D61—44no—
829C4×D61—44no—
830Dic122—82no—
831#34990—611nomaximal, Sylow
832C22×C61—22no—
833C22×C61—22no—
834C22×C61—22no—
835C22×C61—22no—
836C22×C61—22no—
837C22×C61—22no—
838C22×C61—22no—
839C22×C61—22no—
840C22×C61—22no—
841C22×C61—22no—
842C22×C61—22no—
843C22×C61—22no—
844C22×C61—22no—
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—416no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—88no—
874C22×C61#52514yes—
875C22×C61#53814yescomplemented
876C22×C61C23×D411yescharacteristic
877C22×C61C22×#4111yescharacteristic
878C22×C61C22×#4111yescharacteristic
879C22×C61C2×H(5,𝔽2)11yescharacteristic
880C22×C61C2×H(5,𝔽2)11yescharacteristic
881C22×C61C2×H(5,𝔽2)11yescharacteristic
882C22×C61#58511yescharacteristic
883C2×D61—22no—
884C2×D61—22no—
885C2×D61—22no—
886C2×D61—22no—
887C2×D61—22no—
888C2×D61—22no—
889C2×D61—416no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C4×C61—22no—
899C4×C61—22no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61—41no—
903C4×C61—41no—
904C4×C61—41no—
905C4×C61—41no—
906C4×C61—41no—
907Dic61—22no—
908Dic61—22no—
909Dic61—22no—
910Dic61—22no—
911Dic61—22no—
912Dic61—41no—
913Dic61—41no—
914Dic61—41no—
915Dic61—41no—
916Dic61—41no—
917Dic61—41no—
918Dic61—41no—
919Dic61—41no—
920Dic61—41no—
921C2×#538—611no—
922C22×C4×D4—611no—
923#2852—611no—
924#2850—611no—
925#2849—611no—
926#2847—611no—
927#2636—611no—
928#2635—611no—
929#2631—611no—
930#2630—611no—
931#2481—611no—
932#2472—611no—
933#2467—611no—
934#2459—611no—
935#2456—611no—
936#2456—611no—
937#2450—611no—
938#2444—611no—
939#2443—611no—
940#2437—611no—
941#2424—611no—
942#2424—611no—
943#2418—611no—
944#2410—611no—
945#2410D6111yescharacteristic, complemented
946#2403—611no—
947#2325—611no—
948#2321—611no—
949#2318—611no—
950C4×#120—611no—
951C2×#386—611no—
952C2×C61—24no—
953C2×C61—24no—
954C2×C61—42no—
955C2×C61—81no—
956C2×C61—81no—
957C2×C61—81no—
958C2×C61C2×#52511yescharacteristic
959C2×C61C2×#53811yescharacteristic
960C2×C61#345911yescharacteristic
961C2×C61#348411yescharacteristic
962C2×C61#348811yescharacteristic
963C2×C61#351311yescharacteristic
964C2×C61#351911yescharacteristic
965D61—42no—
966D61—42no—
967C23×D4—611no—
968C23×D4C2×D6111yescharacteristic
969C24×C4—611no—
970C24×C4—611no—
971#538—1228no—
972C2×#126—611no—
973C2×#126—611no—
974C2×#124—611no—
975C2×#124—611no—
976C2×#123—611no—
977C2×#123—611no—
978C2×#123—611no—
979C2×C22⋊Q8—611no—
980C2×C22⋊Q8—611no—
981C2×#121—611no—
982C2×#121—611no—
983C2×#121—611no—
984C2×#121—611no—
985C2×#121—611no—
986C2×#121C2×D6111yescharacteristic
987C2×#121C2×D6111yescharacteristic
988C2×#120—611no—
989C2×#120—611no—
990C2×#120—611no—
991C2×#120—611no—
992C2×#120—611no—
993C2×#120C2×D6111yescharacteristic
994C2×#120C2×D6111yescharacteristic, complemented
995C2×C4×D4—611no—
996C2×C4×D4—611no—
997C2×C4×D4—611no—
998C2×C4×D4—611no—
999C2×C4×D4—611no—
1000C2×C4×D4—611no—
1001C2×C4×D4—611no—
1002C2×C4×D4—611no—
1003C2×C4×D4—611no—
1004C2×C4×D4—611no—
1005C2×C4×D4—611no—
1006C2×C4×D4—1228no—
1007C22×C4⋊C4—611no—
1008C22×C22⋊C4—611no—
1009C22×C22⋊C4—611no—
1010C22×C22⋊C4—611no—
1011C22×C22⋊C4—611no—
1012C22×C22⋊C4C2×D6111yescharacteristic
1013C22×C42—611no—
1014#400—611no—
1015#400—611no—
1016#399—611no—
1017#399—611no—
1018#398—611no—
1019#397—611no—
1020#397—611no—
1021#397—611no—
1022#396—611no—
1023#396—611no—
1024#396—611no—
1025#396—611no—
1026#394—611no—
1027#394—611no—
1028#394—611no—
1029#394—611no—
1030#394—611no—
1031#394—611no—
1032#394—611no—
1033#394C2×D6111yescharacteristic, complemented
1034#394C2×D6111yescharacteristic, complemented
1035#393—611no—
1036#393—611no—
1037#392—611no—
1038#392—611no—
1039#392—611no—
1040#392—611no—
1041#392—611no—
1042#392—611no—
1043#392—611no—
1044#392C2×D6111yescharacteristic, complemented
1045#392C2×D6111yescharacteristic, complemented
1046#391—611no—
1047#390—611no—
1048#390—611no—
1049#390—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388—611no—
1057#388—611no—
1058#388—611no—
1059#388—611no—
1060#388—611no—
1061#388—611no—
1062#387—611no—
1063#387—611no—
1064#387—611no—
1065#387—611no—
1066#387—611no—
1067#387—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#386—611no—
1074#386—611no—
1075#386—611no—
1076#386—611no—
1077#386—611no—
1078#386—611no—
1079#386—611no—
1080#386—611no—
1081#386—611no—
1082#386—611no—
1083#386—611no—
1084#386—611no—
1085#386—611no—
1086#386—611no—
1087#386—611no—
1088#386—611no—
1089#386—611no—
1090#386—611no—
1091#386—611no—
1092#386—611no—
1093#386C2×D6111yescharacteristic
1094#386C2×D6111yescharacteristic
1095#386C2×D6111yescharacteristic, complemented
1096#385—611no—
1097#385—611no—
1098#385—611no—
1099#385—611no—
1100#385—611no—
1101#385—611no—
1102#385—611no—
1103#385—611no—
1104#385—611no—
1105#385—611no—
1106#385—611no—
1107#385C2×D6111yescharacteristic, complemented
1108#383—611no—
1109#382—611no—
1110#381—611no—
1111#381—611no—
1112#380—611no—
1113#380—611no—
1114#380—611no—
1115#380—611no—
1116#379—611no—
1117#379—611no—
1118#379C2×D6111yescharacteristic, complemented
1119C4×C22⋊C4—611no—
1120C4×C22⋊C4—611no—
1121C4×C22⋊C4—611no—
1122C2×#95—611no—
1123C2×#95—611no—
1124C61#3499011yescharacteristic, complemented, Sylow
1125C25—611no—
1126C25C22×D6111yescharacteristic
1127C25C22×D6111yescharacteristic
1128C22×Q8—611no—
1129C22×D4—24no—
1130C22×D4—42no—
1131C22×D4—42no—
1132C22×D4—611no—
1133C22×D4—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—611no—
1137C22×D4—611no—
1138C22×D4—611no—
1139C22×D4—611no—
1140C22×D4—611no—
1141C22×D4—611no—
1142C22×D4—1224no—
1143C22×D4—1224no—
1144C22×D4—1224no—
1145C22×D4C22×D6111yescharacteristic
1146C22×D4C22×D6111yescharacteristic
1147C22×D4C22×D6111yescharacteristic
1148C22×D4C22×D6111yescharacteristic
1149C22×D4C22×D6111yescharacteristic
1150C22×D4C22×D6111yescharacteristic
1151C22×D4C22×D6111yescharacteristic
1152C22×D4C22×D6111yescharacteristic
1153C22×D4C22×D6111yescharacteristic
1154C23×C4—611no—
1155C23×C4—611no—
1156C23×C4—611no—
1157C23×C4—611no—
1158C23×C4—611no—
1159C23×C4—611no—
1160C23×C4—611no—
1161C23×C4—611no—
1162C23×C4—611no—
1163C23×C4—611no—
1164C23×C4—611no—
1165C23×C4—611no—
1166C23×C4—611no—
1167C23×C4—611no—
1168C23×C4—1224no—
1169C23×C4—1224no—
1170C23×C4—2442no—
1171C23×C4—2442no—
1172C23×C4—2442no—
1173C23×C4—2442no—
1174C23×C4C22×D6111yescharacteristic
1175C23×C4C22×D6111yescharacteristic
1176C23×C4C22×D6111yescharacteristic
1177#126—1224no—
1178#126—1224no—
1179#124—1224no—
1180#124—1224no—
1181#123—1224no—
1182#123—1224no—
1183#123—2442no—
1184C22⋊Q8—1224no—
1185C22⋊Q8—2442no—
1186#121—42no—
1187#121—42no—
1188#121—1224no—
1189#121—1224no—
1190#121—1224no—
1191#121—1224no—
1192#121—2442no—
1193#120—24no—
1194#120—24no—
1195#120—1224no—
1196#120—1224no—
1197#120—2442no—
1198#120—2442no—
1199#120—2442no—
1200C4×D4—618no—
1201C4×D4—1224no—
1202C4×D4—1224no—
1203C4×D4—1224no—
1204C4×D4—1224no—
1205C4×D4—1224no—
1206C4×D4—1224no—
1207C4×D4—1224no—
1208C4×D4—1224no—
1209C4×D4—2442no—
1210C4×D4—2442no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—1224no—
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—1224no—
1275C2×C22⋊C4—1224no—
1276C2×C22⋊C4—2442no—
1277C2×C22⋊C4—2442no—
1278C2×C22⋊C4C22×D6111yescharacteristic
1279C2×C22⋊C4C22×D6111yescharacteristic
1280C2×C22⋊C4C22×D6111yescharacteristic
1281C2×C22⋊C4C22×D6111yescharacteristic
1282C2×C22⋊C4C22×D6111yescharacteristic
1283C2×C22⋊C4C22×D6111yescharacteristic
1284C2×C22⋊C4C22×D6111yescharacteristic
1285C2×C22⋊C4C22×D6111yescharacteristic
1286C2×C22⋊C4C22×D6111yescharacteristic
1287C2×C22⋊C4C22×D6111yescharacteristic
1288C2×C22⋊C4C22×D6111yescharacteristic
1289C2×C22⋊C4C22×D6111yescharacteristic
1290C2×C22⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4C22×D6111yescharacteristic
1292C2×C22⋊C4C22×D6111yescharacteristic
1293C2×C42—611no—
1294C2×C42—611no—
1295C2×C42—611no—
1296C2×C42—611no—
1297C2×C42—611no—
1298C2×C42—611no—
1299C2×C42—611no—
1300C2×C42—1224no—
1301#95—611no—
1302#95—611no—
1303#95—611no—
1304#95—611no—
1305#95—611no—
1306#95—611no—
1307#95—611no—
1308#95—611no—
1309#95—611no—
1310#95—611no—
1311#95—611no—
1312#95—611no—
1313#95—611no—
1314#95—611no—
1315#95—611no—
1316#95—611no—
1317#95—611no—
1318#95—611no—
1319#95—611no—
1320#95—611no—
1321#95—611no—
1322#95—611no—
1323#95—611no—
1324#95—611no—
1325#95—611no—
1326#95—611no—
1327#95—611no—
1328#95—611no—
1329#95C22×D6111yescharacteristic
1330#95C22×D6111yescharacteristic
1331#95C22×D6111yescharacteristic
1332#95C22×D6111yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—41no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—611no—
1347C24—611no—
1348C24—1222no—
1349C24—1222no—
1350C24—1222no—
1351C24—1222no—
1352C24—1222no—
1353C24—2441no—
1354C24—2441no—
1355C24#1175822414yes—
1356C24C23×D6111yescharacteristic
1357C24C23×D6111yescharacteristic
1358C24C23×D6111yescharacteristic
1359C24C23×D6111yescharacteristic
1360C24C23×D6111yescharacteristic
1361C24C23×D6111yescharacteristic
1362C2×Q8—1222no—
1363C2×Q8—2441no—
1364C2×Q8—2441no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—416no—
1393C2×D4—614no—
1394C2×D4—614no—
1395C2×D4—1222no—
1396C2×D4—1222no—
1397C2×D4—1222no—
1398C2×D4—1222no—
1399C2×D4—12232no—
1400C2×D4—1222no—
1401C2×D4—1222no—
1402C2×D4—1222no—
1403C2×D4—1222no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—1222no—
1412C2×D4—2441no—
1413C2×D4—2441no—
1414C2×D4—2441no—
1415C2×D4—2441no—
1416C2×D4—2441no—
1417C2×D4—2441no—
1418C2×D4—2441no—
1419C2×D4—2441no—
1420C2×D4—2441no—
1421C2×D4—2441no—
1422C2×D4—2441no—
1423C2×D4—2441no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—614no—
1439C22×C4—614no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—611no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—1222no—
1450C22×C4—1222no—
1451C22×C4—1222no—
1452C22×C4—1222no—
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—1222no—
1462C22×C4—1222no—
1463C22×C4—1222no—
1464C22×C4—1222no—
1465C22×C4—1222no—
1466C22×C4—1222no—
1467C22×C4—1222no—
1468C22×C4—1222no—
1469C22×C4—1222no—
1470C22×C4—2441no—
1471C22×C4—2441no—
1472C22×C4—2441no—
1473C22×C4—2441no—
1474C22×C4—2441no—
1475C22×C4—2441no—
1476C22×C4—24416no—
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—24416no—
1491C22×C4C23×D6111yescharacteristic
1492C22×C4C23×D6111yescharacteristic
1493C22×C4C23×D6111yescharacteristic
1494C22×C4C23×D6111yescharacteristic
1495C22×C4C23×D6111yescharacteristic
1496C22×C4C23×D6111yescharacteristic
1497C22×C4C23×D6111yescharacteristic
1498C22×C4C23×D6111yescharacteristic
1499C22×C4C23×D6111yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—614no—
1503C4⋊C4—1222no—
1504C4⋊C4—1222no—
1505C4⋊C4—1222no—
1506C4⋊C4—1222no—
1507C4⋊C4—1222no—
1508C4⋊C4—1222no—
1509C4⋊C4—1222no—
1510C4⋊C4—1222no—
1511C4⋊C4—1222no—
1512C4⋊C4—1222no—
1513C4⋊C4—2441no—
1514C4⋊C4—2441no—
1515C4⋊C4—2441no—
1516C4⋊C4—2441no—
1517C4⋊C4—2441no—
1518C4⋊C4—2441no—
1519C4⋊C4—2441no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—614no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—1222no—
1543C22⋊C4—1222no—
1544C22⋊C4—1222no—
1545C22⋊C4—1222no—
1546C22⋊C4—1222no—
1547C22⋊C4—1222no—
1548C22⋊C4—1222no—
1549C22⋊C4—1222no—
1550C22⋊C4—1222no—
1551C22⋊C4—1222no—
1552C22⋊C4—1222no—
1553C22⋊C4—1222no—
1554C22⋊C4—1222no—
1555C22⋊C4—1222no—
1556C22⋊C4—1222no—
1557C22⋊C4—1222no—
1558C22⋊C4—1222no—
1559C22⋊C4—1222no—
1560C22⋊C4—2441no—
1561C22⋊C4—2441no—
1562C22⋊C4—2441no—
1563C22⋊C4—2441no—
1564C22⋊C4—2441no—
1565C22⋊C4—2441no—
1566C22⋊C4—2441no—
1567C22⋊C4—2441no—
1568C22⋊C4—2441no—
1569C22⋊C4—2441no—
1570C22⋊C4—2441no—
1571C22⋊C4—2441no—
1572C22⋊C4—2441no—
1573C22⋊C4—2441no—
1574C22⋊C4—2441no—
1575C22⋊C4D4×D6114yes—
1576C42—614no—
1577C42—1222no—
1578C42—1222no—
1579C42—1222no—
1580C42—1222no—
1581C42—2441no—
1582C42—2441no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—28no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—82no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—612no—
1633C23—612no—
1634C23—1228no—
1635C23—1221no—
1636C23—1221no—
1637C23—1221no—
1638C23—1221no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—2444no—
1648C23—2444no—
1649C23—2444no—
1650C23—2444no—
1651C23—2444no—
1652C23—2444no—
1653C23C2×D4×D6112yes—
1654C23#41×D6112yes—
1655C23C2×#1175822412yes—
1656C23C2×#1175822412yes—
1657C23C2×#1175822412yes—
1658C23#1451982212yes—
1659C23#1451982212yes—
1660C23C24×D6111yescharacteristic
1661Q8—4882no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—82no—
1670D4—82no—
1671D4—1228no—
1672D4—1228no—
1673D4—1228no—
1674D4—1228no—
1675D4—4882no—
1676D4—4882no—
1677D4—4882no—
1678D4—4882no—
1679D4—4882no—
1680D4—4882no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—612no—
1710C2×C4—612no—
1711C2×C4—612no—
1712C2×C4—612no—
1713C2×C4—612no—
1714C2×C4—1228no—
1715C2×C4—1228no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—1221no—
1745C2×C4—1221no—
1746C2×C4—1221no—
1747C2×C4—1221no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—4882no—
1754C2×C4—4882no—
1755C2×C4—4882no—
1756C2×C4—2444no—
1757C2×C4—2444no—
1758C2×C4—2444no—
1759C2×C4—2444no—
1760C2×C4—2444no—
1761C2×C4—2444no—
1762C2×C4—2444no—
1763C2×C4—2444no—
1764C2×C4—2444no—
1765C2×C4C2×D4×D6112yes—
1766C2×C4C2×D4×D6112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—88no—
1809C22—1222no—
1810C22—1222no—
1811C22—1222no—
1812C22—1222no—
1813C22—1222no—
1814C22—1222no—
1815C22—24416no—
1816C22—2441no—
1817C22—2441no—
1818C22—2441no—
1819C22—2441no—
1820C22—2441no—
1821C22—2441no—
1822C22—2441no—
1823C22—2441no—
1824C22#1684027214yes—
1825C22#1684034714yescomplemented
1826C22C22×D4×D6111yescharacteristic
1827C22C2×#41×D6111yescharacteristic
1828C22C22×#1175822411yescharacteristic
1829C22H(5,𝔽2)×D6111yescharacteristic
1830C22C2×#1451982211yescharacteristic
1831C22C2×#1451982211yescharacteristic
1832C22#1684059711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—1222no—
1843C4—1222no—
1844C4—1222no—
1845C4—1222no—
1846C4—1222no—
1847C4—2441no—
1848C4—2441no—
1849C4—2441no—
1850C4—2441no—
1851C4—2441no—
1852C4—2441no—
1853C4—2441no—
1854C4—2441no—
1855C4—2441no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2—2442no—
1863C2—2442no—
1864C2C2×#1684027211yescharacteristic
1865C2C2×#1684034711yescharacteristic
1866C2#2145922511yescharacteristic
1867C2#2145944711yescharacteristic
1868C2#2145947911yescharacteristic
1869C2#2145975211yescharacteristic
1870C2#2145984011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2410C2
hypercenter#2410D61
hypocenterC61#34990
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#16840347C2semidirect
2. C22×#14519737C2semidirect
3. #21454132C2semidirect
4. #21454118C2semidirect
5. #21454110C2semidirect
6. #21454098C2semidirect
7. #21451721C2semidirect
8. #21451708C2semidirect
9. #21451676C2semidirect
10. #21451663C2semidirect
11. #21450085C2semidirect
12. #21449950C2semidirect
13. #21449871C2semidirect
14. #21449757C2semidirect
15. #21449712C2semidirect
16. #21449706C2semidirect
17. #21449641C2semidirect
18. #21449575C2semidirect
19. #21449550C2semidirect
20. #21449480C2semidirect
21. #21449361C2semidirect
22. #21449351C2semidirect
23. #21449285C2semidirect
24. #21449194C2semidirect
25. #21449129C2semidirect
26. #21448520C2semidirect
27. #21448474C2semidirect
28. #21448447C2semidirect
29. #120×Dic61C2semidirect
30. C2×#16839642C2semidirect
31. C61×#2410C2semidirect
34. C23×C4×D61C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519770C22semidirect
38. C2×#14519764C22semidirect
39. C2×#14519763C22semidirect
40. C2×#14519759C22semidirect
41. C2×#14519759C22semidirect
42. C2×#14519758C22semidirect
43. C2×#14519756C22semidirect
44. C2×#14519754C22semidirect
47. C2×#14519749C22semidirect
48. C2×#14519748C22semidirect
49. C2×#14519748C22semidirect
54. C2×#14519745C22semidirect
55. C2×D4×Dic61C22semidirect
56. C2×D4×Dic61C22semidirect
57. C2×D4×Dic61C22semidirect
63. C2×#14519737C22semidirect
64. C2×#14519737C22semidirect
65. C2×#14519737C22semidirect
66. C2×#14519737C22semidirect
67. C22×#11758196C22semidirect
69. C22×C22⋊Dic61C22semidirect
70. C22×C22⋊Dic61C22semidirect
71. C22×#11758198C22semidirect
72. C22×C4×Dic61C22semidirect
73. #16839703C22semidirect
74. #16839702C22semidirect
75. #16839698C22semidirect
76. #16839698C22semidirect
77. #16839692C22semidirect
78. #16839691C22semidirect
79. #16839690C22semidirect
80. #16839690C22semidirect
81. #16839685C22semidirect
82. #16839685C22semidirect
83. #16839685C22semidirect
84. #16839684C22semidirect
85. #16839678C22semidirect
86. #16839678C22semidirect
87. #16839677C22semidirect
88. #16839677C22semidirect
89. #16839677C22semidirect
90. #16839677C22semidirect
91. #16839676C22semidirect
92. #16839675C22semidirect
93. #16839674C22semidirect
98. #16839670C22semidirect
99. #16839670C22semidirect
100. #16839670C22semidirect
101. #16839667C22semidirect
102. #16839665C22semidirect
103. #16839662C22semidirect
104. #16839662C22semidirect
105. #16839656C22semidirect
106. #16839656C22semidirect
107. #16839656C22semidirect
108. #16839656C22semidirect
109. #16839656C22semidirect
110. #16839655C22semidirect
111. #16839654C22semidirect
112. #16839652C22semidirect
113. #16839651C22semidirect
114. #16839650C22semidirect
115. #16839650C22semidirect
116. #16839650C22semidirect
117. #16839649C22semidirect
118. #16839649C22semidirect
119. #16839647C22semidirect
120. #16839644C22semidirect
121. #16839644C22semidirect
122. #16839643C22semidirect
129. #16839642C22semidirect
130. #16839642C22semidirect
131. #16839642C22semidirect
132. #16839642C22semidirect
133. #16839642C22semidirect
134. #16839642C22semidirect
135. #16839642C22semidirect
136. #16839642C22semidirect
141. #16839639C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839637C22semidirect
149. #16839637C22semidirect
150. #16839637C22semidirect
151. #16839637C22semidirect
152. #16839636C22semidirect
153. #16839636C22semidirect
154. #16839635C22semidirect
155. #16839635C22semidirect
156. #16839634C22semidirect
157. #16839634C22semidirect
158. #16839634C22semidirect
159. #16839629C22semidirect
160. #16839627C22semidirect
161. #16839624C22semidirect
162. #16839624C22semidirect
163. #16839622C22semidirect
164. #16839620C22semidirect
165. #16839619C22semidirect
166. #16839619C22semidirect
168. #16839617C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C22⋊C4×Dic61C22semidirect
171. C22⋊C4×Dic61C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
178. C2×#120×C61C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
186. C61×#386C22semidirect
187. C61×#385C22semidirect
188. C61×#379C22semidirect
253. #14519737D4semidirect
560. C2×C4×D61C2×D4semidirect
621. #11758198C2×D4semidirect
639. #11758196C2×D4semidirect
646. C4×Dic61C2×D4semidirect
875. C22×C61#538semidirect
945. #2410D61semidirect
994. C2×#120C2×D61semidirect
1033. #394C2×D61semidirect
1034. #394C2×D61semidirect
1044. #392C2×D61semidirect
1045. #392C2×D61semidirect
1095. #386C2×D61semidirect
1107. #385C2×D61semidirect
1118. #379C2×D61semidirect
1124. C61#34990semidirect
1825. C22#16840347semidirect

Maximal subgroups

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

subgroupindex
C2×#168403472
C22×#145197372
#214541322
#214541182
#214541102
#214540982
#214517212
#214517082
#214516762
#214516632
#214500852
#214499502
#214498712
#214497572
#214497122
#214497062
#214496412
#214495752
#214495502
#214494802
#214493612
#214493512
#214492852
#214491942
#214491292
#214485202
#214484742
#214484472
#120×Dic612
C2×#168396422
C61×#24102
#3499061