Finite Group Databasebeta

← #29886921

Subgroups — #29886921

Order 15616.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840362C211yesmaximal, characteristic, complemented
2C2×#16840269C211yesmaximal, characteristic, complemented
3#21454110C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452334C211yesmaximal, characteristic, complemented
6#21452327C211yesmaximal, characteristic, complemented
7#21452280C211yesmaximal, characteristic, complemented
8#21452254C211yesmaximal, characteristic, complemented
9#21452235C211yesmaximal, characteristic, complemented
10#21452141C211yesmaximal, characteristic, complemented
11#21452115C211yesmaximal, characteristic, complemented
12#21452111C211yesmaximal, characteristic, complemented
13#21452084C211yesmaximal, characteristic, complemented
14#21452079C211yesmaximal, characteristic, complemented
15#21452065C211yesmaximal, characteristic, complemented
16#21452057C211yesmaximal, characteristic, complemented
17#21452057C211yesmaximal, characteristic, complemented
18#21452032C211yesmaximal, characteristic, complemented
19#21452030C211yesmaximal, characteristic, complemented
20#21452021C211yesmaximal, characteristic, complemented
21#21451707C211yesmaximal, characteristic, complemented
22#21451662C211yesmaximal, characteristic, complemented
23#21451493C211yesmaximal, characteristic, complemented
24#21451425C211yesmaximal, characteristic, complemented
25#21451382C211yesmaximal, characteristic, complemented
26#21451381C211yesmaximal, characteristic, complemented
27#21450781C211yesmaximal, characteristic, complemented
28#21450719C211yesmaximal, characteristic, complemented
29#21449423C211yesmaximal, characteristic, complemented
30#21448446C211yesmaximal, characteristic, complemented
31C61×#2431C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33#16840362—28no—
34C2×#14519773C2211yescharacteristic
35C2×#14519767C2211yescharacteristic, complemented
36#16840269—28no—
37C2×#14519762C2211yescharacteristic
38C2×#14519760C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic
40C2×#14519759C2211yescharacteristic
41C2×#14519758C2211yescharacteristic
42C2×#14519758C2211yescharacteristic
43C2×#14519758C2211yescharacteristic, complemented
44C2×#14519753C2211yescharacteristic
45C2×#14519753C2211yescharacteristic
46C2×#14519750C2211yescharacteristic
47C2×#14519750C2211yescharacteristic
48C2×#14519750C2211yescharacteristic
49C2×#14519749C2211yescharacteristic
50C2×#14519749C2211yescharacteristic
51C2×#14519749C2211yescharacteristic
52C2×#14519749C2211yescharacteristic
53C2×#14519749C2211yescharacteristic
54C2×#14519749C2211yescharacteristic
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic, complemented
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519748C2211yescharacteristic
59C2×#14519748C2211yescharacteristic
60C2×#14519748C2211yescharacteristic, complemented
61C2×#14519747C2211yescharacteristic
62C2×#14519745C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×C4×C22⋊D61C2211yescharacteristic
67C2×C4×C22⋊D61C2211yescharacteristic
68C2×C4×C22⋊D61C2211yescharacteristic
69C2×C4×C22⋊D61C2211yescharacteristic
70C2×#14519737C2211yescharacteristic, complemented
71C2×#14519736C2211yescharacteristic
72C2×#14519733C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839703C2211yescharacteristic, complemented
76#16839698C2211yescharacteristic
77#16839698C2211yescharacteristic, complemented
78#16839698C2211yescharacteristic, complemented
79#16839696C2211yescharacteristic, complemented
80#16839696C2211yescharacteristic, complemented
81#16839693C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic
83#16839691C2211yescharacteristic
84#16839690C2211yescharacteristic, complemented
85#16839688C2211yescharacteristic
86#16839687C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic
88#16839685C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839681C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic
99#16839677C2211yescharacteristic
100#16839677C2211yescharacteristic, complemented
101#16839676C2211yescharacteristic
102#16839676C2211yescharacteristic
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839673C2211yescharacteristic, complemented
106#16839671C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839671C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic
114#16839670C2211yescharacteristic
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839664C2211yescharacteristic
118#16839660C2211yescharacteristic, complemented
119#16839656C2211yescharacteristic
120#16839655C2211yescharacteristic, complemented
121#16839654C2211yescharacteristic, complemented
122#16839653C2211yescharacteristic
123#16839653C2211yescharacteristic
124#16839653C2211yescharacteristic
125#16839653C2211yescharacteristic, complemented
126#16839651C2211yescharacteristic
127#16839650C2211yescharacteristic, complemented
128#16839650C2211yescharacteristic, complemented
129#16839649C2211yescharacteristic, complemented
130#16839647C2211yescharacteristic, complemented
131#16839646C2211yescharacteristic, complemented
132#16839646C2211yescharacteristic, complemented
133#16839642C2211yescharacteristic
134#16839642C2211yescharacteristic
135#16839642C2211yescharacteristic
136#16839642C2211yescharacteristic
137#16839642C2211yescharacteristic, complemented
138#16839642C2211yescharacteristic, complemented
139#16839642C2211yescharacteristic, complemented
140#16839642C2211yescharacteristic, complemented
141#16839641C2211yescharacteristic
142#16839641C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic
144#16839640C2211yescharacteristic
145#16839639C2211yescharacteristic
146#16839639C2211yescharacteristic
147#16839639C2211yescharacteristic
148#16839638C2211yescharacteristic
149#16839638C2211yescharacteristic
150#16839638C2211yescharacteristic
151#16839638C2211yescharacteristic
152#16839638C2211yescharacteristic
153#16839637C2211yescharacteristic
154#16839637C2211yescharacteristic, complemented
155#16839637C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic
157#16839636C2211yescharacteristic
158#16839636C2211yescharacteristic, complemented
159#16839635C2211yescharacteristic
160#16839635C2211yescharacteristic, complemented
161#16839634C2211yescharacteristic, complemented
162#16839634C2211yescharacteristic, complemented
163#16839629C2211yescharacteristic, complemented
164#16839626C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic
166#16839624C2211yescharacteristic
167#16839621C2211yescharacteristic
168#16839621C2211yescharacteristic
169#16839621C2211yescharacteristic, complemented
170#16839620C2211yescharacteristic
171#16839620C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic
173C2×#14519684C2211yescharacteristic, complemented
174C22×#41×C61C2211yescharacteristic
175C2×#127×C61C2211yescharacteristic
176C2×#124×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C61×#392C2211yescharacteristic
179C61×#392C2211yescharacteristic
180C61×#392C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic, complemented
182C61×#391C2211yescharacteristic, complemented
183C61×#390C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C4×C22⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
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
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61—24no—
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218#14519773—24no—
219#14519767—24no—
220#14519762—24no—
221#14519760—24no—
222#14519759—24no—
223#14519759—42no—
224#14519758—24no—
225#14519758—24no—
226#14519758—24no—
227#14519753—24no—
228#14519753—24no—
229#14519750—24no—
230#14519750—42no—
231#14519750—42no—
232#14519749—24no—
233#14519749—24no—
234#14519749—24no—
235#14519749—42no—
236#14519749—42no—
237#14519749—42no—
238#14519749—42no—
239#14519749—42no—
240#14519749—42no—
241#14519748—24no—
242#14519748—24no—
243#14519748—24no—
244#14519747—42no—
245#14519745—24no—
246#14519745—24no—
247#14519745—42no—
248#14519745—42no—
249C4×C22⋊D61—24no—
250C4×C22⋊D61—24no—
251C4×C22⋊D61—24no—
252C4×C22⋊D61D418yescomplemented
253#14519737—24no—
254#14519736—24no—
255#14519733—24no—
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
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×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
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×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
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
350C2×#41×C61—24no—
351C2×#41×C61—42no—
352C2×#41×C61—42no—
353C22×Q8×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367#127×C61—42no—
368#124×C61—42no—
369#121×C61—24no—
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C42×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406#41×C61—416no—
407C2×Q8×C61—22no—
408C2×Q8×C61—22no—
409C2×Q8×C61—41no—
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—22no—
419C2×D4×C61—22no—
420C2×D4×C61—22no—
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—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61C2×D414yes—
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
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—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
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⋊D61C2×D414yes—
498C22×Dic61—22no—
499C22×Dic61—22no—
500C22×Dic61—22no—
501C22×Dic61—22no—
502C22×Dic61—41no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61—41no—
506C22×Dic61—41no—
507C22×Dic61—41no—
508C22×Dic61—41no—
509C22×Dic61—41no—
510C22×Dic61—41no—
511C22×Dic61—41no—
512C22×Dic61—41no—
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C2×D244—22no—
527C2×D244—22no—
528C2×D244—41no—
529C2×D244—41no—
530C2×D244—41no—
531C2×D244—41no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—22no—
536C2×C4×D61—22no—
537C2×C4×D61—22no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61—41no—
543C2×C4×D61—41no—
544C2×C4×D61—416no—
545C2×C4×D61—41no—
546C2×C4×D61—41no—
547C2×C4×D61C2×D414yes—
548C4⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C42×C61—41no—
562C42×C61—41no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
581C22⋊Dic61—41no—
582C22⋊Dic61—41no—
583C22⋊Dic61C2×D414yes—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198—41no—
603#11758198—41no—
604#11758198C2×D414yes—
605C4⋊Dic61—22no—
606C4⋊Dic61—22no—
607C4⋊Dic61—22no—
608C4⋊Dic61—41no—
609C4⋊Dic61—41no—
610C4⋊Dic61—41no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—22no—
619#11758196—22no—
620#11758196—41no—
621#11758196—41no—
622#11758196—41no—
623#11758196—41no—
624#11758196—41no—
625#11758196—41no—
626#11758196—41no—
627#11758196C2×D414yes—
628C4×Dic61—22no—
629C4×Dic61—22no—
630C4×Dic61C2×D414yes—
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—21no—
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—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61C22×D412yes—
665C23×C61H(5,𝔽2)12yes—
666C23×C61C2511yescharacteristic
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—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—44no—
687C22×D61—44no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61C22×D412yes—
694C22×D61H(5,𝔽2)12yes—
695Q8×C61—44no—
696D4×C61—44no—
697D4×C61—44no—
698D4×C61—44no—
699D4×C61—82no—
700D4×C61—82no—
701D4×C61—82no—
702D4×C61—82no—
703D4×C61—82no—
704D4×C61—82no—
705D4×C61—82no—
706C2×C4×C61—28no—
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—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—44no—
735C2×C4×C61—44no—
736C2×C4×C61C22×D412yes—
737C2×C4×C61C22×D412yes—
738C2×C4×C61H(5,𝔽2)12yes—
739C22⋊D61—44no—
740C22⋊D61—44no—
741C22⋊D61—44no—
742C22⋊D61—44no—
743C22⋊D61—44no—
744C22⋊D61—82no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C22⋊D61—82no—
749C22⋊D61—82no—
750C22⋊D61—82no—
751C22⋊D61—82no—
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—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—44no—
789C2×Dic61—44no—
790C2×Dic61—82no—
791C2×Dic61—82no—
792C2×Dic61—82no—
793C2×Dic61C22×D412yes—
794C2×Dic61C22×D412yes—
795C2×Dic61C22×D412yes—
796D244—82no—
797D244—82no—
798C4×D61—44no—
799C4×D61—44no—
800C4×D61—44no—
801C4×D61—44no—
802C4×D61—82no—
803#36713—611nomaximal, Sylow
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
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—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61C23×D411yescharacteristic
840C22×C61C2×H(5,𝔽2)11yescharacteristic
841C22×C61C2×H(5,𝔽2)11yescharacteristic
842C22×C61C2×H(5,𝔽2)11yescharacteristic
843C22×C61#58511yescharacteristic
844C22×C61#58511yescharacteristic
845C22×C61#58511yescharacteristic
846C2×D61—22no—
847C2×D61—22no—
848C2×D61—22no—
849C2×D61—22no—
850C2×D61—22no—
851C2×D61—22no—
852C2×D61—416no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C4×C61—22no—
869C4×C61—22no—
870C4×C61—22no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878Dic61—22no—
879Dic61—22no—
880Dic61—22no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891C2×#540—611no—
892C2×#525—611no—
893#2849—611no—
894#2847—611no—
895#2694—611no—
896#2693—611no—
897#2690—611no—
898#2688—611no—
899#2687—611no—
900#2678—611no—
901#2676—611no—
902#2675—611no—
903#2673—611no—
904#2673—611no—
905#2672—611no—
906#2671—611no—
907#2671—611no—
908#2669—611no—
909#2669—611no—
910#2668—611no—
911#2635—611no—
912#2630—611no—
913#2609—611no—
914#2602—611no—
915#2598—611no—
916#2598—611no—
917#2543—611no—
918#2535—611no—
919#2431D6111yescharacteristic, complemented
920#2430—611no—
921#2318—611no—
922C2×C61—42no—
923C2×C61—42no—
924C2×C61—81no—
925C2×C61—81no—
926C2×C61—81no—
927C2×C61#344911yescharacteristic
928C2×C61#348411yescharacteristic
929C2×C61#348811yescharacteristic
930C2×C61#353311yescharacteristic
931C2×C61#353411yescharacteristic
932C2×C61#353911yescharacteristic
933C2×C61#354211yescharacteristic
934D61—42no—
935D61—42no—
936D61—81no—
937C22×#41C2×D6111yescharacteristic
938C24×C4—611no—
939#540—1228no—
940C2×#127—611no—
941C2×#127C2×D6111yescharacteristic
942C2×#125—611no—
943C2×#124C2×D6111yescharacteristic, complemented
944#525—1228no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×#123—611no—
949C2×#123—611no—
950C2×#123—611no—
951C2×#123—611no—
952C2×C22⋊Q8—611no—
953C2×C22⋊Q8—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121—611no—
968C2×#121—611no—
969C2×#121C2×D6111yescharacteristic, complemented
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×C4×D4—611no—
976C2×C4×D4—611no—
977C2×C4×D4—611no—
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×#117—611no—
981C2×#117—611no—
982#400—611no—
983#400—611no—
984#400—611no—
985#399—611no—
986#399—611no—
987#399—611no—
988#398—611no—
989#398—611no—
990#398—611no—
991#397—611no—
992#397—611no—
993#397—611no—
994#397—611no—
995#397—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#396—611no—
1000#395—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#394—611no—
1013#394—611no—
1014#393—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392C2×D6111yescharacteristic
1027#392C2×D6111yescharacteristic
1028#392C2×D6111yescharacteristic, complemented
1029#392C2×D6111yescharacteristic, complemented
1030#391C2×D6111yescharacteristic, complemented
1031#390—611no—
1032#390C2×D6111yescharacteristic
1033#389—611no—
1034#388—611no—
1035#388—611no—
1036#388—611no—
1037#388—611no—
1038#388—611no—
1039#388—611no—
1040#388—611no—
1041#388—611no—
1042#388—611no—
1043#388—611no—
1044#387—611no—
1045#387—611no—
1046#387—611no—
1047#387—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386—611no—
1056#386—611no—
1057#386—611no—
1058#386—611no—
1059#386—611no—
1060#386—611no—
1061#386—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386C2×D6111yescharacteristic
1069#386C2×D6111yescharacteristic
1070#386C2×D6111yescharacteristic, complemented
1071#386C2×D6111yescharacteristic, complemented
1072#385—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385—611no—
1081#385—611no—
1082#383—611no—
1083#382—611no—
1084#381—611no—
1085#381—611no—
1086#380—611no—
1087#380—611no—
1088#380—611no—
1089#380—611no—
1090#380—611no—
1091#379—611no—
1092C4×C22⋊C4C2×D6111yescharacteristic, complemented
1093C2×#95—611no—
1094C61#3671311yescharacteristic, complemented, Sylow
1095C25—611no—
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C22×D6111yescharacteristic
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4C22×D6111yescharacteristic
1116C22×D4C22×D6111yescharacteristic
1117C22×D4C22×D6111yescharacteristic
1118C22×D4C22×D6111yescharacteristic
1119C22×D4C22×D6111yescharacteristic
1120C22×D4C22×D6111yescharacteristic
1121C22×D4C22×D6111yescharacteristic
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C23×C4—611no—
1126C23×C4—611no—
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—611no—
1134C23×C4—611no—
1135C23×C4—1224no—
1136C23×C4—2442no—
1137C23×C4—2442no—
1138C23×C4C22×D6111yescharacteristic
1139C23×C4C22×D6111yescharacteristic
1140C23×C4C22×D6111yescharacteristic
1141#127—42no—
1142#127—1224no—
1143#125—1224no—
1144#124—42no—
1145#123—1224no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—1224no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154#121—24no—
1155#121—1224no—
1156#121—1224no—
1157#121—1224no—
1158#121—1224no—
1159#121—1224no—
1160#121—1224no—
1161#121—1224no—
1162#121—2442no—
1163#121—2442no—
1164#121—2442no—
1165#121—2442no—
1166#121—2442no—
1167#121—2442no—
1168#121—2442no—
1169#121—2442no—
1170#120—1224no—
1171#120—1224no—
1172#120—2442no—
1173#120—2442no—
1174#120—2442no—
1175C4×D4—618no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179C4×D4—1224no—
1180#117—1224no—
1181#117—1224no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42C22×D6111yescharacteristic
1264C2×C42C22×D6111yescharacteristic
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291#95C22×D6111yescharacteristic
1292#95C22×D6111yescharacteristic
1293#95C22×D6111yescharacteristic
1294#95C22×D6111yescharacteristic
1295#95C22×D6111yescharacteristic
1296#95C22×D6111yescharacteristic
1297C24—611no—
1298C24—611no—
1299C24—611no—
1300C24—1222no—
1301C24—1222no—
1302C24—1222no—
1303C24—2441no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24C23×D6111yescharacteristic
1308C24C23×D6111yescharacteristic
1309C24C23×D6111yescharacteristic
1310C24C23×D6111yescharacteristic
1311C24C23×D6111yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—614no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—1222no—
1354C2×D4—1222no—
1355C2×D4—1222no—
1356C2×D4—1222no—
1357C2×D4—1222no—
1358C2×D4—1222no—
1359C2×D4—1222no—
1360C2×D4—1222no—
1361C2×D4—1222no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—614no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—1222no—
1414C22×C4—1222no—
1415C22×C4—1222no—
1416C22×C4—1222no—
1417C22×C4—1222no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—1222no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4—2441no—
1426C22×C4—2441no—
1427C22×C4—2441no—
1428C22×C4—2441no—
1429C22×C4—2441no—
1430C22×C4—2441no—
1431C22×C4—24416no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4—2441no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4—2441no—
1441C22×C4—2441no—
1442C22×C4—2441no—
1443C22×C4D4×D6114yes—
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451C22×C4C23×D6111yescharacteristic
1452C22×C4C23×D6111yescharacteristic
1453C22×C4C23×D6111yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—614no—
1456C4⋊C4—1222no—
1457C4⋊C4—1222no—
1458C4⋊C4—1222no—
1459C4⋊C4—1222no—
1460C4⋊C4—1222no—
1461C4⋊C4—1222no—
1462C4⋊C4—1222no—
1463C4⋊C4—1222no—
1464C4⋊C4—1222no—
1465C4⋊C4—1222no—
1466C4⋊C4—1222no—
1467C4⋊C4—1222no—
1468C4⋊C4—2441no—
1469C4⋊C4—2441no—
1470C4⋊C4—2441no—
1471C4⋊C4—2441no—
1472C4⋊C4—2441no—
1473C4⋊C4—2441no—
1474C4⋊C4—2441no—
1475C4⋊C4—2441no—
1476C4⋊C4—2441no—
1477C4⋊C4—2441no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—614no—
1491C22⋊C4—614no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—1222no—
1501C22⋊C4—1222no—
1502C22⋊C4—1222no—
1503C22⋊C4—1222no—
1504C22⋊C4—1222no—
1505C22⋊C4—1222no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
1508C22⋊C4—1222no—
1509C22⋊C4—1222no—
1510C22⋊C4—1222no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4—2441no—
1532C42—41no—
1533C42—41no—
1534C42—614no—
1535C42—1222no—
1536C42—1222no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—612no—
1571C23—612no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—2444no—
1592C23—2444no—
1593C23—2444no—
1594C23—2444no—
1595C23—2444no—
1596C23—2444no—
1597C23—2444no—
1598C23C2×D4×D6112yes—
1599C23#1451982212yes—
1600C23C24×D6111yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—4882no—
1619D4—4882no—
1620D4—4882no—
1621D4—4882no—
1622D4—2444no—
1623D4—2444no—
1624D4—2444no—
1625D4—2444no—
1626D4—2444no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—612no—
1658C2×C4—612no—
1659C2×C4—612no—
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—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—4882no—
1697C2×C4—4882no—
1698C2×C4—4882no—
1699C2×C4—4882no—
1700C2×C4—2444no—
1701C2×C4—2444no—
1702C2×C4—2444no—
1703C2×C4—2444no—
1704C2×C4—2444no—
1705C2×C4—2444no—
1706C2×C4C2×D4×D6112yes—
1707C2×C4C2×D4×D6112yes—
1708C2×C4#1451982212yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—1222no—
1745C22—1222no—
1746C22—1222no—
1747C22—1222no—
1748C22—1222no—
1749C22—1222no—
1750C22—24416no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22C22×D4×D6111yescharacteristic
1767C22H(5,𝔽2)×D6111yescharacteristic
1768C22C2×#1451982211yescharacteristic
1769C22C2×#1451982211yescharacteristic
1770C22#1684059711yescharacteristic
1771C22#1684059811yescharacteristic
1772C22#1684059811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—1222no—
1784C4—1222no—
1785C4—1222no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—4881no—
1802C2—2442no—
1803C2—2442no—
1804C2#2145914611yescharacteristic
1805C2#2145944811yescharacteristic
1806C2#2145948611yescharacteristic
1807C2#2145997811yescharacteristic
1808C2#2146000111yescharacteristic
1809C2#2146007011yescharacteristic
1810C2#2146012511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2431C2
hypercenter#2431D61
hypocenterC61#36713
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2431

Complements

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

NH ≅ G/Ntype
1. C2×#16840362C2semidirect
2. C2×#16840269C2semidirect
3. #21454110C2semidirect
4. #21454100C2semidirect
5. #21452334C2semidirect
6. #21452327C2semidirect
7. #21452280C2semidirect
8. #21452254C2semidirect
9. #21452235C2semidirect
10. #21452141C2semidirect
11. #21452115C2semidirect
12. #21452111C2semidirect
13. #21452084C2semidirect
14. #21452079C2semidirect
15. #21452065C2semidirect
16. #21452057C2semidirect
17. #21452057C2semidirect
18. #21452032C2semidirect
19. #21452030C2semidirect
20. #21452021C2semidirect
21. #21451707C2semidirect
22. #21451662C2semidirect
23. #21451493C2semidirect
24. #21451425C2semidirect
25. #21451382C2semidirect
26. #21451381C2semidirect
27. #21450781C2semidirect
28. #21450719C2semidirect
29. #21449423C2semidirect
30. #21448446C2semidirect
31. C61×#2431C2semidirect
35. C2×#14519767C22semidirect
38. C2×#14519760C22semidirect
43. C2×#14519758C22semidirect
56. C2×#14519749C22semidirect
57. C2×#14519749C22semidirect
60. C2×#14519748C22semidirect
70. C2×#14519737C22semidirect
72. C2×#14519733C22semidirect
73. #16839704C22semidirect
74. #16839703C22semidirect
75. #16839703C22semidirect
77. #16839698C22semidirect
78. #16839698C22semidirect
79. #16839696C22semidirect
80. #16839696C22semidirect
81. #16839693C22semidirect
84. #16839690C22semidirect
86. #16839687C22semidirect
88. #16839685C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839681C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
100. #16839677C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839673C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
118. #16839660C22semidirect
120. #16839655C22semidirect
121. #16839654C22semidirect
125. #16839653C22semidirect
127. #16839650C22semidirect
128. #16839650C22semidirect
129. #16839649C22semidirect
130. #16839647C22semidirect
131. #16839646C22semidirect
132. #16839646C22semidirect
137. #16839642C22semidirect
138. #16839642C22semidirect
139. #16839642C22semidirect
140. #16839642C22semidirect
142. #16839641C22semidirect
154. #16839637C22semidirect
155. #16839637C22semidirect
158. #16839636C22semidirect
160. #16839635C22semidirect
161. #16839634C22semidirect
162. #16839634C22semidirect
163. #16839629C22semidirect
164. #16839626C22semidirect
169. #16839621C22semidirect
171. #16839620C22semidirect
173. C2×#14519684C22semidirect
176. C2×#124×C61C22semidirect
177. C2×#121×C61C22semidirect
180. C61×#392C22semidirect
181. C61×#392C22semidirect
182. C61×#391C22semidirect
186. C61×#386C22semidirect
187. C61×#386C22semidirect
188. C4×C22⋊C4×C61C22semidirect
252. C4×C22⋊D61D4semidirect
919. #2431D61semidirect
943. C2×#124C2×D61semidirect
969. C2×#121C2×D61semidirect
1028. #392C2×D61semidirect
1029. #392C2×D61semidirect
1030. #391C2×D61semidirect
1070. #386C2×D61semidirect
1071. #386C2×D61semidirect
1092. C4×C22⋊C4C2×D61semidirect
1094. C61#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168403622
C2×#168402692
#214541102
#214541002
#214523342
#214523272
#214522802
#214522542
#214522352
#214521412
#214521152
#214521112
#214520842
#214520792
#214520652
#214520572
#214520322
#214520302
#214520212
#214517072
#214516622
#214514932
#214514252
#214513822
#214513812
#214507812
#214507192
#214494232
#214484462
C61×#24312
#3671361