Finite Group Databasebeta

← #29888823

Subgroups — #29888823

Order 15616.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454113C211yesmaximal, characteristic, complemented
2#21454099C211yesmaximal, characteristic, complemented
3#21453765C211yesmaximal, characteristic, complemented
4#21453674C211yesmaximal, characteristic, complemented
5#21453562C211yesmaximal, characteristic, complemented
6#21453521C211yesmaximal, characteristic, complemented
7#21453469C211yesmaximal, characteristic, complemented
8#21453439C211yesmaximal, characteristic, complemented
9#21453066C211yesmaximal, characteristic, complemented
10#21453063C211yesmaximal, characteristic, complemented
11#21452982C211yesmaximal, characteristic, complemented
12#21452610C211yesmaximal, characteristic, complemented
13#21452559C211yesmaximal, characteristic, complemented
14#21452539C211yesmaximal, characteristic, complemented
15#21452539C211yesmaximal, characteristic, complemented
16#21452361C211yesmaximal, characteristic, complemented
17#21452227C211yesmaximal, characteristic, complemented
18#21452183C211yesmaximal, characteristic, complemented
19#21451775C211yesmaximal, characteristic, complemented
20#21451749C211yesmaximal, characteristic, complemented
21#21450077C211yesmaximal, characteristic, complemented
22#21449942C211yesmaximal, characteristic, complemented
23#21449552C211yesmaximal, characteristic, complemented
24#21449489C211yesmaximal, characteristic, complemented
25#21449431C211yesmaximal, characteristic, complemented
26#21449359C211yesmaximal, characteristic, complemented
27#21449138C211yesmaximal, characteristic, complemented
28#21448491C211yesmaximal, characteristic, complemented
29#21448407C211yesmaximal, characteristic, complemented
30C2×#16839637C211yesmaximal, characteristic, complemented
31C61×#2411C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519763C2211yescharacteristic
36C2×#14519761C2211yescharacteristic
37C2×#14519761C2211yescharacteristic
38C2×#14519761C2211yescharacteristic, complemented
39C2×#14519754C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519749C2211yescharacteristic
42C2×#14519749C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519749C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C22×C4⋊Dic61C2211yescharacteristic
49C22×C4⋊Dic61C2211yescharacteristic
50C22×C22⋊Dic61C2211yescharacteristic
51C61⋊#401C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839704C2211yescharacteristic, complemented
54#16839704C2211yescharacteristic, complemented
55#16839703C2211yescharacteristic, complemented
56#16839701C2211yescharacteristic, complemented
57#16839701C2211yescharacteristic, complemented
58#16839701C2211yescharacteristic, complemented
59#16839700C2211yescharacteristic, complemented
60#16839699C2211yescharacteristic, complemented
61#16839695C2211yescharacteristic, complemented
62#16839695C2211yescharacteristic, complemented
63#16839694C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic
67#16839690C2211yescharacteristic, complemented
68#16839689C2211yescharacteristic, complemented
69#16839689C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic
73#16839684C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic, complemented
75#16839682C2211yescharacteristic, complemented
76#16839682C2211yescharacteristic, complemented
77#16839679C2211yescharacteristic, complemented
78#16839678C2211yescharacteristic
79#16839678C2211yescharacteristic
80#16839678C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic
83#16839677C2211yescharacteristic, complemented
84#16839676C2211yescharacteristic
85#16839675C2211yescharacteristic, complemented
86#16839674C2211yescharacteristic
87#16839674C2211yescharacteristic
88#16839674C2211yescharacteristic
89#16839674C2211yescharacteristic, complemented
90#16839674C2211yescharacteristic, complemented
91#16839671C2211yescharacteristic
92#16839671C2211yescharacteristic
93#16839671C2211yescharacteristic, complemented
94#16839670C2211yescharacteristic
95#16839668C2211yescharacteristic, complemented
96#16839668C2211yescharacteristic, complemented
97#16839668C2211yescharacteristic, complemented
98#16839664C2211yescharacteristic, complemented
99#16839664C2211yescharacteristic, complemented
100#16839662C2211yescharacteristic
101#16839662C2211yescharacteristic
102#16839661C2211yescharacteristic, complemented
103#16839661C2211yescharacteristic, complemented
104#16839660C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic
106#16839655C2211yescharacteristic
107#16839655C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839650C2211yescharacteristic
112#16839648C2211yescharacteristic, complemented
113#16839648C2211yescharacteristic, complemented
114#16839648C2211yescharacteristic, complemented
115#16839647C2211yescharacteristic, complemented
116#16839646C2211yescharacteristic, complemented
117#16839646C2211yescharacteristic, complemented
118#16839645C2211yescharacteristic, complemented
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic
121#16839642C2211yescharacteristic
122#16839642C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839639C2211yescharacteristic
126#16839639C2211yescharacteristic
127#16839639C2211yescharacteristic
128#16839639C2211yescharacteristic
129#16839639C2211yescharacteristic
130#16839639C2211yescharacteristic
131#16839639C2211yescharacteristic
132#16839639C2211yescharacteristic
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic, complemented
141#16839637C2211yescharacteristic
142#16839637C2211yescharacteristic
143#16839637C2211yescharacteristic
144#16839637C2211yescharacteristic
145#16839637C2211yescharacteristic
146#16839637C2211yescharacteristic
147#16839637C2211yescharacteristic
148#16839637C2211yescharacteristic
149#16839637C2211yescharacteristic
150#16839637C2211yescharacteristic
151#16839637C2211yescharacteristic
152#16839637C2211yescharacteristic
153#16839637C2211yescharacteristic, complemented
154#16839637C2211yescharacteristic, complemented
155#16839637C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839625C2211yescharacteristic
160#16839623C2211yescharacteristic
161#16839623C2211yescharacteristic
162#16839620C2211yescharacteristic
163#16839620C2211yescharacteristic
164#16839620C2211yescharacteristic
165#16839619C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×#123×C61C2211yescharacteristic
173C2×#120×C61C2211yescharacteristic
174C2×#117×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#396C2211yescharacteristic
177C61×#396C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#390C2211yescharacteristic
181C61×#390C2211yescharacteristic
182C61×#388C2211yescharacteristic
183C61×#388C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#385C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C2×#11758222—24no—
188C2×#11758222—42no—
189C2×#11758222—42no—
190C22×Dic122C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C23×Dic61—42no—
202C23×Dic61—42no—
203C23×Dic61—42no—
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215#14519772—42no—
216#14519763—42no—
217#14519761—42no—
218#14519761—42no—
219#14519761—42no—
220#14519754—42no—
221#14519749—42no—
222#14519749—42no—
223#14519749—42no—
224#14519749—42no—
225#14519749—42no—
226#14519746—42no—
227#14519746—42no—
228D4×Dic61—42no—
229C2×C4⋊Dic61—42no—
230C2×C4⋊Dic61—42no—
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×C22⋊Dic61—42no—
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290#14519684C2311yescharacteristic
291#14519684C2311yescharacteristic
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330C25×C61C2311yescharacteristic
331C22×D4×C61C2311yescharacteristic
332C22×D4×C61C2311yescharacteristic
333C22×D4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336#123×C61—24no—
337#120×C61—42no—
338#117×C61—42no—
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61—24no—
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—22no—
372C24×C61—22no—
373C24×C61—22no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C2×D4×C61—22no—
383C2×D4×C61—22no—
384C2×D4×C61—22no—
385C2×D4×C61—22no—
386C2×D4×C61—22no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C22×C4×C61—22no—
392C22×C4×C61—22no—
393C22×C4×C61—22no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61#4114yes—
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C2×C22⋊D61—22no—
409C2×C22⋊D61—22no—
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61—416no—
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474#11758222—416no—
475C2×D244—22no—
476C2×D244—41no—
477C2×D244—41no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×Dic122—22no—
485C2×Dic122—41no—
486C2×Dic122—41no—
487C2×Dic122—41no—
488C2×Dic122—41no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C42×C61—41no—
514C42×C61—41no—
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—
530#11758198—22no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548C4⋊Dic61—22no—
549C4⋊Dic61—22no—
550C4⋊Dic61—22no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61—41no—
554C4⋊Dic61—41no—
555C4⋊Dic61—41no—
556C4⋊Dic61—41no—
557C4⋊Dic61—41no—
558C4⋊Dic61—41no—
559C4⋊Dic61—41no—
560C4⋊Dic61—41no—
561C4⋊Dic61—41no—
562#11758196—22no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—28no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—44no—
598C23×C61—44no—
599C23×C61—44no—
600C23×C61—44no—
601C23×C61—44no—
602C23×C61—44no—
603C23×C61C2×#4112yes—
604C23×C61H(5,𝔽2)12yes—
605C23×C61H(5,𝔽2)12yes—
606C23×C61H(5,𝔽2)12yes—
607C23×C612−1+412yes—
608C23×C61C2511yescharacteristic
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623D4×C61—44no—
624D4×C61—82no—
625D4×C61—82no—
626C2×C4×C61—28no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—44no—
659C2×C4×C61C2×#4112yes—
660C2×C4×C61C2×#4112yes—
661C22⋊D61—44no—
662C22⋊D61—44no—
663C22⋊D61—82no—
664C22⋊D61—82no—
665C22⋊D61—82no—
666C22⋊D61—82no—
667C22⋊D61—82no—
668C22⋊D61—82no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—44no—
711C2×Dic61—44no—
712C2×Dic61—44no—
713C2×Dic61—44no—
714C2×Dic61—44no—
715C2×Dic61—44no—
716C2×Dic61—82no—
717C2×Dic61—82no—
718C2×Dic61—82no—
719C2×Dic61H(5,𝔽2)12yes—
720D244—44no—
721C4×D61—44no—
722C4×D61—44no—
723Dic122—44no—
724Dic122—82no—
725#36791—611nomaximal, Sylow
726C22×C61—22no—
727C22×C61—22no—
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—416no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61#53814yes—
755C22×C61C22×#4111yescharacteristic
756C22×C61C2×H(5,𝔽2)11yescharacteristic
757C22×C61C2×H(5,𝔽2)11yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61C2×H(5,𝔽2)11yescharacteristic
760C22×C61C2×2−1+411yescharacteristic
761C22×C61#58511yescharacteristic
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61—41no—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787Dic61—22no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#2849—611no—
802#2847—611no—
803#2804—611no—
804#2797—611no—
805#2788—611no—
806#2784—611no—
807#2780—611no—
808#2778—611no—
809#2751—611no—
810#2750—611no—
811#2745—611no—
812#2714—611no—
813#2710—611no—
814#2708—611no—
815#2708—611no—
816#2695—611no—
817#2686—611no—
818#2682—611no—
819#2643—611no—
820#2639—611no—
821#2481—611no—
822#2472—611no—
823#2443—611no—
824#2438—611no—
825#2430—611no—
826#2424—611no—
827#2411D6111yescharacteristic, complemented
828#2404—611no—
829#2322—611no—
830#2311—611no—
831C2×#385—611no—
832C2×C61—24no—
833C2×C61—42no—
834C2×C61—42no—
835C2×C61—81no—
836C2×C61C2×#53811yescharacteristic
837C2×C61#349211yescharacteristic
838C2×C61#350611yescharacteristic
839C2×C61#353211yescharacteristic
840C2×C61#353411yescharacteristic
841C2×C61#353511yescharacteristic
842C2×C61#353611yescharacteristic
843D61—81no—
844D61—81no—
845C22×#41—611no—
846C24×C4—611no—
847C2×#126—611no—
848C2×#124—611no—
849C2×#123—611no—
850C2×#123—611no—
851C2×#123—611no—
852C2×#123C2×D6111yescharacteristic
853C2×C22⋊Q8—611no—
854C2×#121—611no—
855C2×#121—611no—
856C2×#121—611no—
857C2×#121—611no—
858C2×#121—611no—
859C2×#120—611no—
860C2×#120—611no—
861C2×#120C2×D6111yescharacteristic
862C2×C4×D4—611no—
863C2×#117C2×D6111yescharacteristic
864C22×C4⋊C4—611no—
865C22×C4⋊C4—611no—
866C22×C22⋊C4—611no—
867C22×C22⋊C4C2×D6111yescharacteristic
868#401—611no—
869#400—611no—
870#400—611no—
871#400—611no—
872#400—611no—
873#400—611no—
874#400—611no—
875#400—611no—
876#400—611no—
877#399—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#397—611no—
882#397—611no—
883#397—611no—
884#397—611no—
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#396—611no—
890#396—611no—
891#396—611no—
892#396C2×D6111yescharacteristic
893#396C2×D6111yescharacteristic
894#395—611no—
895#395—611no—
896#394—611no—
897#394—611no—
898#394—611no—
899#394—611no—
900#394—611no—
901#394—611no—
902#394—611no—
903#394—611no—
904#394C2×D6111yescharacteristic
905#394C2×D6111yescharacteristic
906#393—611no—
907#393—611no—
908#393—611no—
909#393—611no—
910#393—611no—
911#393—611no—
912#392—611no—
913#392—611no—
914#392—611no—
915#392—611no—
916#391—611no—
917#391—611no—
918#391—611no—
919#390—611no—
920#390—611no—
921#390—611no—
922#390—611no—
923#390C2×D6111yescharacteristic
924#390C2×D6111yescharacteristic
925#389—611no—
926#389—611no—
927#389—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388C2×D6111yescharacteristic
936#388C2×D6111yescharacteristic
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387—611no—
944#386—611no—
945#386—611no—
946#386—611no—
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386C2×D6111yescharacteristic
967#385—611no—
968#385—611no—
969#385—611no—
970#385—611no—
971#385—611no—
972#385—611no—
973#385—611no—
974#385—611no—
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#385—611no—
984#385—611no—
985#385C2×D6111yescharacteristic
986#381—611no—
987#381—611no—
988#381—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#379C2×D6111yescharacteristic
997C4×C22⋊C4—611no—
998C2×#95—611no—
999C2×#95—611no—
1000C61#3679111yescharacteristic, complemented, Sylow
1001C25C22×D6111yescharacteristic
1002C2×#41—1224no—
1003C2×#41—2442no—
1004C2×#41—2442no—
1005C22×Q8—611no—
1006C22×Q8—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C22×D4—611no—
1010C22×D4—611no—
1011C22×D4—611no—
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4C22×D6111yescharacteristic
1017C22×D4C22×D6111yescharacteristic
1018C22×D4C22×D6111yescharacteristic
1019C23×C4—611no—
1020C23×C4—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—611no—
1029C23×C4—611no—
1030C23×C4—2442no—
1031C23×C4—2442no—
1032C23×C4—2442no—
1033C23×C4C22×D6111yescharacteristic
1034C23×C4C22×D6111yescharacteristic
1035#126—2442no—
1036#124—2442no—
1037#123—24no—
1038#123—2442no—
1039#123—2442no—
1040#123—2442no—
1041C22⋊Q8—2442no—
1042#121—2442no—
1043#121—2442no—
1044#121—2442no—
1045#121—2442no—
1046#121—2442no—
1047#120—42no—
1048#120—2442no—
1049#120—2442no—
1050C4×D4—2442no—
1051#117—42no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—2442no—
1075C2×C4⋊C4—2442no—
1076C2×C4⋊C4C22×D6111yescharacteristic
1077C2×C4⋊C4C22×D6111yescharacteristic
1078C2×C4⋊C4C22×D6111yescharacteristic
1079C2×C4⋊C4C22×D6111yescharacteristic
1080C2×C4⋊C4C22×D6111yescharacteristic
1081C2×C4⋊C4C22×D6111yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—2442no—
1117C2×C22⋊C4C22×D6111yescharacteristic
1118C2×C22⋊C4C22×D6111yescharacteristic
1119C2×C22⋊C4C22×D6111yescharacteristic
1120C2×C22⋊C4C22×D6111yescharacteristic
1121C2×C22⋊C4C22×D6111yescharacteristic
1122C2×C22⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4C22×D6111yescharacteristic
1124C2×C22⋊C4C22×D6111yescharacteristic
1125C2×C22⋊C4C22×D6111yescharacteristic
1126C2×C22⋊C4C22×D6111yescharacteristic
1127C2×C22⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C42—611no—
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42C22×D6111yescharacteristic
1138C2×C42C22×D6111yescharacteristic
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181#95C22×D6111yescharacteristic
1182#95C22×D6111yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—611no—
1191C24—611no—
1192C24C23×D6111yescharacteristic
1193C24C23×D6111yescharacteristic
1194C24C23×D6111yescharacteristic
1195C24C23×D6111yescharacteristic
1196#41—24416no—
1197C2×Q8—1222no—
1198C2×Q8—2441no—
1199C2×Q8—2441no—
1200C2×Q8—2441no—
1201C2×Q8—2441no—
1202C2×Q8—2441no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—1222no—
1223C2×D4—1222no—
1224C2×D4—2441no—
1225C2×D4—2441no—
1226C2×D4—2441no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C2×D4—2441no—
1233C2×D4—2441no—
1234C2×D4—2441no—
1235C2×D4—2441no—
1236C2×D4—2441no—
1237C2×D4—2441no—
1238C2×D4—2441no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—2441no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4—24416no—
1292C22×C4#1175822414yes—
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—1222no—
1311C4⋊C4—1222no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—2441no—
1315C4⋊C4—2441no—
1316C4⋊C4—2441no—
1317C4⋊C4—2441no—
1318C4⋊C4—2441no—
1319C4⋊C4—2441no—
1320C4⋊C4—2441no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—2441no—
1355C22⋊C4—2441no—
1356C22⋊C4—2441no—
1357C22⋊C4—2441no—
1358C22⋊C4—2441no—
1359C22⋊C4—2441no—
1360C22⋊C4—2441no—
1361C22⋊C4—2441no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
1377C22⋊C4—2441no—
1378C22⋊C4—2441no—
1379C22⋊C4—2441no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C42—41no—
1383C42—41no—
1384C42—2441no—
1385C42—2441no—
1386C42—2441no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23C2×#1175822412yes—
1432C23#1451982212yes—
1433C23#1451982312yes—
1434C23#1451982312yes—
1435C23#1451982412yes—
1436C23C24×D6111yescharacteristic
1437Q8—4882no—
1438Q8—2444no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—4882no—
1443D4—4882no—
1444D4—4882no—
1445D4—4882no—
1446D4—4882no—
1447D4—4882no—
1448D4—2444no—
1449D4—2444no—
1450D4—2444no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—28no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—612no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—4882no—
1527C2×C4—4882no—
1528C2×C4—4882no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4—2444no—
1537C2×C4C2×#1175822412yes—
1538C2×C4C2×#1175822412yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22#1684034914yes—
1582C22C22×#1175822411yescharacteristic
1583C22H(5,𝔽2)×D6111yescharacteristic
1584C22C2×#1451982211yescharacteristic
1585C22C2×#1451982311yescharacteristic
1586C22C2×#1451982311yescharacteristic
1587C22C2×#1451982411yescharacteristic
1588C22#1684059711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—1222no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—4881no—
1619C2—4881no—
1620C2C2×#1684034911yescharacteristic
1621C2#2145952511yescharacteristic
1622C2#2145967011yescharacteristic
1623C2#2145997511yescharacteristic
1624C2#2146000511yescharacteristic
1625C2#2146002411yescharacteristic
1626C2#2146003411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2411C2
hypercenter#2411D61
hypocenterC61#36791
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. #21454113C2semidirect
2. #21454099C2semidirect
3. #21453765C2semidirect
4. #21453674C2semidirect
5. #21453562C2semidirect
6. #21453521C2semidirect
7. #21453469C2semidirect
8. #21453439C2semidirect
9. #21453066C2semidirect
10. #21453063C2semidirect
11. #21452982C2semidirect
12. #21452610C2semidirect
13. #21452559C2semidirect
14. #21452539C2semidirect
15. #21452539C2semidirect
16. #21452361C2semidirect
17. #21452227C2semidirect
18. #21452183C2semidirect
19. #21451775C2semidirect
20. #21451749C2semidirect
21. #21450077C2semidirect
22. #21449942C2semidirect
23. #21449552C2semidirect
24. #21449489C2semidirect
25. #21449431C2semidirect
26. #21449359C2semidirect
27. #21449138C2semidirect
28. #21448491C2semidirect
29. #21448407C2semidirect
30. C2×#16839637C2semidirect
31. C61×#2411C2semidirect
34. C2×#14519772C22semidirect
38. C2×#14519761C22semidirect
51. C61⋊#401C22semidirect
52. #16839704C22semidirect
53. #16839704C22semidirect
54. #16839704C22semidirect
55. #16839703C22semidirect
56. #16839701C22semidirect
57. #16839701C22semidirect
58. #16839701C22semidirect
59. #16839700C22semidirect
60. #16839699C22semidirect
61. #16839695C22semidirect
62. #16839695C22semidirect
63. #16839694C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
67. #16839690C22semidirect
68. #16839689C22semidirect
69. #16839689C22semidirect
70. #16839688C22semidirect
71. #16839687C22semidirect
73. #16839684C22semidirect
74. #16839684C22semidirect
75. #16839682C22semidirect
76. #16839682C22semidirect
77. #16839679C22semidirect
80. #16839678C22semidirect
81. #16839678C22semidirect
83. #16839677C22semidirect
85. #16839675C22semidirect
89. #16839674C22semidirect
90. #16839674C22semidirect
93. #16839671C22semidirect
95. #16839668C22semidirect
96. #16839668C22semidirect
97. #16839668C22semidirect
98. #16839664C22semidirect
99. #16839664C22semidirect
102. #16839661C22semidirect
103. #16839661C22semidirect
104. #16839660C22semidirect
107. #16839655C22semidirect
108. #16839655C22semidirect
109. #16839654C22semidirect
110. #16839654C22semidirect
112. #16839648C22semidirect
113. #16839648C22semidirect
114. #16839648C22semidirect
115. #16839647C22semidirect
116. #16839646C22semidirect
117. #16839646C22semidirect
118. #16839645C22semidirect
139. #16839638C22semidirect
140. #16839638C22semidirect
153. #16839637C22semidirect
154. #16839637C22semidirect
155. #16839637C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
165. #16839619C22semidirect
166. #16839619C22semidirect
167. #16839619C22semidirect
168. #16839619C22semidirect
827. #2411D61semidirect
1000. C61#36791semidirect

Maximal subgroups

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

subgroupindex
#214541132
#214540992
#214537652
#214536742
#214535622
#214535212
#214534692
#214534392
#214530662
#214530632
#214529822
#214526102
#214525592
#214525392
#214523612
#214522272
#214521832
#214517752
#214517492
#214500772
#214499422
#214495522
#214494892
#214494312
#214493592
#214491382
#214484912
#214484072
C2×#168396372
C61×#24112
#3679161