Finite Group Databasebeta

← #29887223

Subgroups — #29887223

Order 15616.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454099C211yesmaximal, characteristic, complemented
2#21454099C211yesmaximal, characteristic, complemented
3#21452964C211yesmaximal, characteristic, complemented
4#21452960C211yesmaximal, characteristic, complemented
5#21452956C211yesmaximal, characteristic, complemented
6#21452952C211yesmaximal, characteristic, complemented
7#21452925C211yesmaximal, characteristic, complemented
8#21452921C211yesmaximal, characteristic, complemented
9#21452917C211yesmaximal, characteristic, complemented
10#21452913C211yesmaximal, characteristic, complemented
11#21452409C211yesmaximal, characteristic, complemented
12#21452407C211yesmaximal, characteristic, complemented
13#21452404C211yesmaximal, characteristic, complemented
14#21452402C211yesmaximal, characteristic, complemented
15#21452261C211yesmaximal, characteristic, complemented
16#21452257C211yesmaximal, characteristic, complemented
17#21452253C211yesmaximal, characteristic, complemented
18#21452249C211yesmaximal, characteristic, complemented
19#21451923C211yesmaximal, characteristic, complemented
20#21451791C211yesmaximal, characteristic, complemented
21#21449573C211yesmaximal, characteristic, complemented
22#21449571C211yesmaximal, characteristic, complemented
23#21449565C211yesmaximal, characteristic, complemented
24#21449563C211yesmaximal, characteristic, complemented
25#21449359C211yesmaximal, characteristic, complemented
26#21449355C211yesmaximal, characteristic, complemented
27#21449351C211yesmaximal, characteristic, complemented
28#21448520C211yesmaximal, characteristic, complemented
29#21448517C211yesmaximal, characteristic, complemented
30C2×#16839623C211yesmaximal, characteristic, complemented
31C61×#2424C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33C2×#14519751C2211yescharacteristic
34C2×#14519750C2211yescharacteristic
35C2×#14519749C2211yescharacteristic
36C2×#14519749C2211yescharacteristic
37C2×#14519749C2211yescharacteristic
38C2×#14519749C2211yescharacteristic
39C2×#14519749C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519749C2211yescharacteristic
42C2×#14519749C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519748C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic
49C2×#14519737C2211yescharacteristic
50C22×C22⋊Dic61C2211yescharacteristic
51#16839704C2211yescharacteristic, complemented
52#16839703C2211yescharacteristic, complemented
53#16839703C2211yescharacteristic, complemented
54#16839703C2211yescharacteristic, complemented
55#16839702C2211yescharacteristic, complemented
56#16839701C2211yescharacteristic, complemented
57#16839700C2211yescharacteristic, complemented
58#16839700C2211yescharacteristic, complemented
59#16839698C2211yescharacteristic, complemented
60#16839698C2211yescharacteristic, complemented
61#16839697C2211yescharacteristic, complemented
62#16839697C2211yescharacteristic, complemented
63#16839696C2211yescharacteristic, complemented
64#16839695C2211yescharacteristic, complemented
65#16839693C2211yescharacteristic, complemented
66#16839692C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839690C2211yescharacteristic, complemented
70#16839690C2211yescharacteristic, complemented
71#16839689C2211yescharacteristic, complemented
72#16839688C2211yescharacteristic, complemented
73#16839688C2211yescharacteristic, complemented
74#16839687C2211yescharacteristic, complemented
75#16839685C2211yescharacteristic
76#16839685C2211yescharacteristic
77#16839685C2211yescharacteristic
78#16839679C2211yescharacteristic, complemented
79#16839678C2211yescharacteristic
80#16839678C2211yescharacteristic
81#16839678C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic, complemented
85#16839676C2211yescharacteristic
86#16839676C2211yescharacteristic
87#16839676C2211yescharacteristic, complemented
88#16839671C2211yescharacteristic
89#16839671C2211yescharacteristic, complemented
90#16839671C2211yescharacteristic, complemented
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic
93#16839670C2211yescharacteristic, complemented
94#16839670C2211yescharacteristic, complemented
95#16839665C2211yescharacteristic
96#16839662C2211yescharacteristic
97#16839662C2211yescharacteristic
98#16839656C2211yescharacteristic
99#16839656C2211yescharacteristic, complemented
100#16839655C2211yescharacteristic
101#16839655C2211yescharacteristic, complemented
102#16839653C2211yescharacteristic, complemented
103#16839653C2211yescharacteristic, complemented
104#16839652C2211yescharacteristic, complemented
105#16839651C2211yescharacteristic, complemented
106#16839650C2211yescharacteristic
107#16839650C2211yescharacteristic, complemented
108#16839650C2211yescharacteristic, complemented
109#16839649C2211yescharacteristic, complemented
110#16839648C2211yescharacteristic, complemented
111#16839646C2211yescharacteristic, complemented
112#16839646C2211yescharacteristic, complemented
113#16839645C2211yescharacteristic, complemented
114#16839644C2211yescharacteristic, complemented
115#16839643C2211yescharacteristic, complemented
116#16839643C2211yescharacteristic, complemented
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic
121#16839642C2211yescharacteristic
122#16839642C2211yescharacteristic
123#16839642C2211yescharacteristic
124#16839642C2211yescharacteristic
125#16839642C2211yescharacteristic, complemented
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic, complemented
128#16839641C2211yescharacteristic, complemented
129#16839640C2211yescharacteristic, complemented
130#16839639C2211yescharacteristic
131#16839639C2211yescharacteristic
132#16839639C2211yescharacteristic
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839637C2211yescharacteristic
144#16839636C2211yescharacteristic, complemented
145#16839635C2211yescharacteristic
146#16839635C2211yescharacteristic, complemented
147#16839634C2211yescharacteristic
148#16839634C2211yescharacteristic, complemented
149#16839633C2211yescharacteristic, complemented
150#16839625C2211yescharacteristic, complemented
151#16839624C2211yescharacteristic, complemented
152#16839624C2211yescharacteristic, complemented
153#16839623C2211yescharacteristic
154#16839623C2211yescharacteristic
155#16839623C2211yescharacteristic
156#16839623C2211yescharacteristic
157#16839623C2211yescharacteristic
158#16839623C2211yescharacteristic
159#16839623C2211yescharacteristic
160#16839623C2211yescharacteristic
161#16839623C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic
163#16839620C2211yescharacteristic
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839620C2211yescharacteristic
167#16839620C2211yescharacteristic
168C2×#14519684C2211yescharacteristic
169C2×#14519684C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×#121×C61C2211yescharacteristic
173C2×#121×C61C2211yescharacteristic
174C2×#120×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C2×C4×D4×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#396C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#392C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#388C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#385C2211yescharacteristic
187C22×D244C2311yescharacteristic
188C22×C22⋊D61C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C23×Dic61—24no—
199C23×Dic61—42no—
200C23×Dic61—42no—
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212#14519751—42no—
213#14519750—42no—
214#14519749—24no—
215#14519749—24no—
216#14519749—42no—
217#14519749—42no—
218#14519749—42no—
219#14519749—42no—
220#14519749—42no—
221#14519749—42no—
222#14519749—42no—
223#14519748—42no—
224#14519746—42no—
225#14519746—42no—
226D4×Dic61—42no—
227C4×C22⋊D61—42no—
228#14519737—42no—
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×C22⋊Dic61—42no—
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×#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×C4×Dic61C2311yescharacteristic
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288#14519684C2311yescharacteristic
289#14519684C2311yescharacteristic
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
328C25×C61C2311yescharacteristic
329C22×D4×C61C2311yescharacteristic
330C22×D4×C61C2311yescharacteristic
331C22×D4×C61C2311yescharacteristic
332C22×D4×C61C2311yescharacteristic
333C22×D4×C61C2311yescharacteristic
334C22×D4×C61C2311yescharacteristic
335C22×D4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C23×C4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339#121×C61—42no—
340#121×C61—42no—
341#120×C61—42no—
342#120×C61—42no—
343C4×D4×C61—42no—
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61—42no—
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×C22⋊C4×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
380C24×C61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C23×D61C2411yescharacteristic
383C2×D4×C61—22no—
384C2×D4×C61—22no—
385C2×D4×C61—22no—
386C2×D4×C61—22no—
387C2×D4×C61—22no—
388C2×D4×C61—22no—
389C2×D4×C61—22no—
390C2×D4×C61—22no—
391C2×D4×C61—22no—
392C2×D4×C61—22no—
393C2×D4×C61—41no—
394C2×D4×C61—41no—
395C2×D4×C61—41no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C2×D4×C61—41no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61—41no—
403C2×D4×C61—41no—
404C22×C4×C61—22no—
405C22×C4×C61—22no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—22no—
456C22×Dic61—22no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61—41no—
469C22×Dic61—41no—
470C22×Dic61—41no—
471C22×Dic61—41no—
472C22×Dic61—41no—
473C22×Dic61—41no—
474C22×Dic61—41no—
475C22×Dic61—41no—
476C22×Dic61—41no—
477C22×Dic61—41no—
478C22×Dic61—41no—
479C22×Dic61—416no—
480C22×Dic61#4114yes—
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×C4×D61—41no—
499C2×C4×D61—41no—
500C2×C4×D61—41no—
501C2×C4×D61—41no—
502C2×C4×D61—41no—
503C2×C4×D61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C4⋊C4×C61—41no—
507C4⋊C4×C61—41no—
508C22⋊C4×C61—22no—
509C22⋊C4×C61—22no—
510C22⋊C4×C61—22no—
511C22⋊C4×C61—22no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊C4×C61—41no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C22⋊C4×C61—41no—
522C22⋊C4×C61—41no—
523C42×C61—41no—
524C22⋊Dic61—22no—
525C22⋊Dic61—22no—
526C22⋊Dic61—22no—
527C22⋊Dic61—22no—
528C22⋊Dic61—22no—
529C22⋊Dic61—22no—
530C22⋊Dic61—41no—
531C22⋊Dic61—41no—
532C22⋊Dic61—41no—
533C22⋊Dic61—41no—
534C22⋊Dic61—41no—
535C22⋊Dic61—41no—
536C22⋊Dic61—41no—
537C22⋊Dic61—41no—
538C22⋊Dic61—41no—
539C22⋊Dic61—41no—
540C22⋊Dic61—41no—
541C22⋊Dic61—41no—
542C22⋊Dic61—41no—
543C22⋊Dic61—41no—
544C22⋊Dic61—41no—
545#11758198—22no—
546#11758198—22no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561C4⋊Dic61—41no—
562C4⋊Dic61—41no—
563C4⋊Dic61—41no—
564C4⋊Dic61—41no—
565#11758196—22no—
566#11758196—22no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196—41no—
575#11758196—41no—
576#11758196—41no—
577#11758196—41no—
578#11758196—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—28no—
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—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—44no—
614C23×C61—44no—
615C23×C61—44no—
616C23×C61—44no—
617C23×C61—44no—
618C23×C61—44no—
619C23×C61C2×#4112yes—
620C23×C61H(5,𝔽2)12yes—
621C23×C61H(5,𝔽2)12yes—
622C23×C61H(5,𝔽2)12yes—
623C23×C61H(5,𝔽2)12yes—
624C23×C61C2511yescharacteristic
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639D4×C61—44no—
640D4×C61—44no—
641D4×C61—82no—
642D4×C61—82no—
643D4×C61—82no—
644D4×C61—82no—
645D4×C61—82no—
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—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—82no—
677C2×C4×C61—82no—
678C2×C4×C61—82no—
679C22⋊D61—44no—
680C22⋊D61—44no—
681C22⋊D61—82no—
682C22⋊D61—82no—
683C22⋊D61—82no—
684C22⋊D61—82no—
685C22⋊D61—82no—
686C22⋊D61—82no—
687C22⋊D61—82no—
688C22⋊D61—82no—
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—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—44no—
730C2×Dic61—44no—
731C2×Dic61—44no—
732C2×Dic61—44no—
733C2×Dic61—44no—
734C2×Dic61—44no—
735C2×Dic61—82no—
736C2×Dic61—82no—
737C2×Dic61—82no—
738C2×Dic61C2×#4112yes—
739C2×Dic61C2×#4112yes—
740D244—82no—
741C4×D61—82no—
742C4×D61—82no—
743#36731—611nomaximal, Sylow
744C22×C61—22no—
745C22×C61—22no—
746C22×C61—22no—
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—416no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61#54014yes—
780C22×C61C22×#4111yescharacteristic
781C22×C61C2×H(5,𝔽2)11yescharacteristic
782C22×C61C2×H(5,𝔽2)11yescharacteristic
783C22×C61C2×H(5,𝔽2)11yescharacteristic
784C22×C61C2×H(5,𝔽2)11yescharacteristic
785C22×C61#58511yescharacteristic
786C22×C61#58511yescharacteristic
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811Dic61—22no—
812Dic61—22no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825#2847—611no—
826#2847—611no—
827#2743—611no—
828#2743—611no—
829#2743—611no—
830#2743—611no—
831#2740—611no—
832#2740—611no—
833#2740—611no—
834#2740—611no—
835#2699—611no—
836#2699—611no—
837#2699—611no—
838#2699—611no—
839#2688—611no—
840#2688—611no—
841#2688—611no—
842#2688—611no—
843#2656—611no—
844#2646—611no—
845#2444—611no—
846#2444—611no—
847#2444—611no—
848#2444—611no—
849#2424—611no—
850#2424—611no—
851#2424—611no—
852#2424D6111yescharacteristic, complemented
853#2325—611no—
854#2325—611no—
855C2×#381—611no—
856C2×C61—24no—
857C2×C61—42no—
858C2×C61—42no—
859C2×C61—81no—
860C2×C61—81no—
861C2×C61C2×#54011yescharacteristic
862C2×C61#349011yescharacteristic
863C2×C61#349311yescharacteristic
864C2×C61#353411yescharacteristic
865C2×C61#353411yescharacteristic
866C2×C61#353411yescharacteristic
867C2×C61#353411yescharacteristic
868D61—81no—
869D61—81no—
870C24×C4—611no—
871C2×#121—611no—
872C2×#121—611no—
873C2×#121—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121—611no—
877C2×#121—611no—
878C2×#121—611no—
879C2×#121—611no—
880C2×#121—611no—
881C2×#121—611no—
882C2×#121—611no—
883C2×#121C2×D6111yescharacteristic
884C2×#121C2×D6111yescharacteristic
885C2×#120—611no—
886C2×#120—611no—
887C2×#120C2×D6111yescharacteristic
888C2×#120C2×D6111yescharacteristic
889C2×C4×D4—611no—
890C2×C4×D4—611no—
891C2×C4×D4—611no—
892C2×C4×D4C2×D6111yescharacteristic
893C22×C22⋊C4—611no—
894C22×C22⋊C4C2×D6111yescharacteristic
895#400—611no—
896#400—611no—
897#400—611no—
898#400—611no—
899#400—611no—
900#400—611no—
901#400—611no—
902#400—611no—
903#399—611no—
904#399—611no—
905#399—611no—
906#399—611no—
907#398—611no—
908#398—611no—
909#398—611no—
910#398—611no—
911#397—611no—
912#397—611no—
913#397—611no—
914#397—611no—
915#397—611no—
916#397—611no—
917#397—611no—
918#397—611no—
919#396—611no—
920#396—611no—
921#396—611no—
922#396C2×D6111yescharacteristic
923#394—611no—
924#394—611no—
925#394—611no—
926#394—611no—
927#394—611no—
928#394—611no—
929#394—611no—
930#394—611no—
931#394—611no—
932#394—611no—
933#394C2×D6111yescharacteristic
934#394C2×D6111yescharacteristic
935#392—611no—
936#392—611no—
937#392—611no—
938#392—611no—
939#392—611no—
940#392—611no—
941#392—611no—
942#392C2×D6111yescharacteristic
943#390—611no—
944#390—611no—
945#390—611no—
946#390C2×D6111yescharacteristic
947#388—611no—
948#388—611no—
949#388—611no—
950#388—611no—
951#388—611no—
952#388—611no—
953#388—611no—
954#388—611no—
955#388—611no—
956#388—611no—
957#388—611no—
958#388C2×D6111yescharacteristic
959#387—611no—
960#387—611no—
961#387—611no—
962#387—611no—
963#387—611no—
964#387—611no—
965#387—611no—
966#387—611no—
967#386—611no—
968#386—611no—
969#386—611no—
970#386—611no—
971#386—611no—
972#386—611no—
973#386—611no—
974#386—611no—
975#386—611no—
976#386—611no—
977#386—611no—
978#386—611no—
979#386—611no—
980#386—611no—
981#386—611no—
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386C2×D6111yescharacteristic
994#386C2×D6111yescharacteristic
995#385—611no—
996#385—611no—
997#385—611no—
998#385—611no—
999#385—611no—
1000#385—611no—
1001#385—611no—
1002#385C2×D6111yescharacteristic
1003#381—611no—
1004#381—611no—
1005#381—611no—
1006#381—611no—
1007#381—611no—
1008#381—611no—
1009#381—611no—
1010#381—611no—
1011#381—611no—
1012#381—611no—
1013#381—611no—
1014#381—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021C2×#95—611no—
1022C2×#95—611no—
1023C2×#95—611no—
1024C2×#95—611no—
1025C61#3673111yescharacteristic, complemented, Sylow
1026C25C22×D6111yescharacteristic
1027C22×D4—611no—
1028C22×D4—611no—
1029C22×D4—611no—
1030C22×D4—611no—
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—611no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4C22×D6111yescharacteristic
1039C22×D4C22×D6111yescharacteristic
1040C22×D4C22×D6111yescharacteristic
1041C22×D4C22×D6111yescharacteristic
1042C22×D4C22×D6111yescharacteristic
1043C22×D4C22×D6111yescharacteristic
1044C22×D4C22×D6111yescharacteristic
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4—1224no—
1057C23×C4—2442no—
1058C23×C4—2442no—
1059C23×C4C22×D6111yescharacteristic
1060C23×C4C22×D6111yescharacteristic
1061C23×C4C22×D6111yescharacteristic
1062#121—42no—
1063#121—42no—
1064#121—1224no—
1065#121—1224no—
1066#121—2442no—
1067#121—2442no—
1068#121—2442no—
1069#121—2442no—
1070#121—2442no—
1071#121—2442no—
1072#121—2442no—
1073#121—2442no—
1074#121—2442no—
1075#121—2442no—
1076#120—42no—
1077#120—42no—
1078#120—2442no—
1079#120—2442no—
1080C4×D4—42no—
1081C4×D4—2442no—
1082C4×D4—2442no—
1083C4×D4—2442no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—611no—
1098C2×C4⋊C4—611no—
1099C2×C4⋊C4—611no—
1100C2×C4⋊C4—611no—
1101C2×C4⋊C4—611no—
1102C2×C4⋊C4C22×D6111yescharacteristic
1103C2×C4⋊C4C22×D6111yescharacteristic
1104C2×C4⋊C4C22×D6111yescharacteristic
1105C2×C4⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4—42no—
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—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—2442no—
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
1154C2×C22⋊C4C22×D6111yescharacteristic
1155C2×C22⋊C4C22×D6111yescharacteristic
1156C2×C22⋊C4C22×D6111yescharacteristic
1157C2×C22⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4C22×D6111yescharacteristic
1159C2×C22⋊C4C22×D6111yescharacteristic
1160C2×C42—611no—
1161C2×C42—611no—
1162C2×C42—611no—
1163C2×C42C22×D6111yescharacteristic
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#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—41no—
1214C24—41no—
1215C24—611no—
1216C24—611no—
1217C24C23×D6111yescharacteristic
1218C24C23×D6111yescharacteristic
1219C24C23×D6111yescharacteristic
1220C24C23×D6111yescharacteristic
1221C24C23×D6111yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—1222no—
1244C2×D4—1222no—
1245C2×D4—1222no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—1222no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—2441no—
1263C2×D4—2441no—
1264C2×D4—2441no—
1265C2×D4—2441no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—614no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—611no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—611no—
1299C22×C4—611no—
1300C22×C4—1222no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—1222no—
1306C22×C4—1222no—
1307C22×C4—1222no—
1308C22×C4—1222no—
1309C22×C4—1222no—
1310C22×C4—1222no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—2441no—
1328C22×C4—2441no—
1329C22×C4—2441no—
1330C22×C4—2441no—
1331C22×C4—2441no—
1332C22×C4—24416no—
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C22×C4C23×D6111yescharacteristic
1341C22×C4C23×D6111yescharacteristic
1342C22×C4C23×D6111yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—1222no—
1348C4⋊C4—1222no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C4⋊C4—2441no—
1358C4⋊C4—2441no—
1359C4⋊C4—2441no—
1360C4⋊C4—2441no—
1361C4⋊C4—2441no—
1362C4⋊C4—2441no—
1363C4⋊C4—2441no—
1364C4⋊C4—2441no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—1222no—
1381C22⋊C4—1222no—
1382C22⋊C4—1222no—
1383C22⋊C4—1222no—
1384C22⋊C4—1222no—
1385C22⋊C4—1222no—
1386C22⋊C4—1222no—
1387C22⋊C4—1222no—
1388C22⋊C4—2441no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4—2441no—
1406C22⋊C4—2441no—
1407C22⋊C4—2441no—
1408C22⋊C4—2441no—
1409C22⋊C4—2441no—
1410C22⋊C4—2441no—
1411C22⋊C4—2441no—
1412C22⋊C4—2441no—
1413C22⋊C4—2441no—
1414C22⋊C4—2441no—
1415C22⋊C4—2441no—
1416C22⋊C4—2441no—
1417C42—41no—
1418C42—2441no—
1419C42—2441no—
1420C42—2441no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—28no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—1221no—
1466C23—1221no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23#41×D6112yes—
1473C23#1451982212yes—
1474C23#1451982212yes—
1475C23#1451982212yes—
1476C23#1451982312yes—
1477C23C24×D6111yescharacteristic
1478D4—44no—
1479D4—44no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—4882no—
1486D4—4882no—
1487D4—4882no—
1488D4—4882no—
1489D4—4882no—
1490D4—4882no—
1491D4—4882no—
1492D4—4882no—
1493D4—4882no—
1494D4—2444no—
1495D4—2444no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—612no—
1530C2×C4—612no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—4882no—
1572C2×C4—4882no—
1573C2×C4—4882no—
1574C2×C4—4882no—
1575C2×C4—4882no—
1576C2×C4—2444no—
1577C2×C4—2444no—
1578C2×C4—2444no—
1579C2×C4—2444no—
1580C2×C4—2444no—
1581C2×C4—2444no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—416no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22#1684036214yes—
1632C22C2×#41×D6111yescharacteristic
1633C22C2×#1451982211yescharacteristic
1634C22C2×#1451982211yescharacteristic
1635C22C2×#1451982211yescharacteristic
1636C22C2×#1451982311yescharacteristic
1637C22#1684059711yescharacteristic
1638C22#1684059711yescharacteristic
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—1222no—
1650C4—1222no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C4—2441no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C2—24no—
1664C2—42no—
1665C2—42no—
1666C2—81no—
1667C2—81no—
1668C2—4881no—
1669C2—4881no—
1670C2C2×#1684036211yescharacteristic
1671C2#2145950211yescharacteristic
1672C2#2145953411yescharacteristic
1673C2#2145999711yescharacteristic
1674C2#2145999711yescharacteristic
1675C2#2146000511yescharacteristic
1676C2#2146000511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2424C2
hypercenter#2424D61
hypocenterC61#36731
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #21454099C2semidirect
2. #21454099C2semidirect
3. #21452964C2semidirect
4. #21452960C2semidirect
5. #21452956C2semidirect
6. #21452952C2semidirect
7. #21452925C2semidirect
8. #21452921C2semidirect
9. #21452917C2semidirect
10. #21452913C2semidirect
11. #21452409C2semidirect
12. #21452407C2semidirect
13. #21452404C2semidirect
14. #21452402C2semidirect
15. #21452261C2semidirect
16. #21452257C2semidirect
17. #21452253C2semidirect
18. #21452249C2semidirect
19. #21451923C2semidirect
20. #21451791C2semidirect
21. #21449573C2semidirect
22. #21449571C2semidirect
23. #21449565C2semidirect
24. #21449563C2semidirect
25. #21449359C2semidirect
26. #21449355C2semidirect
27. #21449351C2semidirect
28. #21448520C2semidirect
29. #21448517C2semidirect
30. C2×#16839623C2semidirect
31. C61×#2424C2semidirect
51. #16839704C22semidirect
52. #16839703C22semidirect
53. #16839703C22semidirect
54. #16839703C22semidirect
55. #16839702C22semidirect
56. #16839701C22semidirect
57. #16839700C22semidirect
58. #16839700C22semidirect
59. #16839698C22semidirect
60. #16839698C22semidirect
61. #16839697C22semidirect
62. #16839697C22semidirect
63. #16839696C22semidirect
64. #16839695C22semidirect
65. #16839693C22semidirect
66. #16839692C22semidirect
67. #16839691C22semidirect
68. #16839690C22semidirect
69. #16839690C22semidirect
70. #16839690C22semidirect
71. #16839689C22semidirect
72. #16839688C22semidirect
73. #16839688C22semidirect
74. #16839687C22semidirect
78. #16839679C22semidirect
81. #16839678C22semidirect
84. #16839677C22semidirect
87. #16839676C22semidirect
89. #16839671C22semidirect
90. #16839671C22semidirect
93. #16839670C22semidirect
94. #16839670C22semidirect
99. #16839656C22semidirect
101. #16839655C22semidirect
102. #16839653C22semidirect
103. #16839653C22semidirect
104. #16839652C22semidirect
105. #16839651C22semidirect
107. #16839650C22semidirect
108. #16839650C22semidirect
109. #16839649C22semidirect
110. #16839648C22semidirect
111. #16839646C22semidirect
112. #16839646C22semidirect
113. #16839645C22semidirect
114. #16839644C22semidirect
115. #16839643C22semidirect
116. #16839643C22semidirect
125. #16839642C22semidirect
127. #16839641C22semidirect
128. #16839641C22semidirect
129. #16839640C22semidirect
137. #16839639C22semidirect
140. #16839638C22semidirect
141. #16839638C22semidirect
142. #16839638C22semidirect
144. #16839636C22semidirect
146. #16839635C22semidirect
148. #16839634C22semidirect
149. #16839633C22semidirect
150. #16839625C22semidirect
151. #16839624C22semidirect
152. #16839624C22semidirect
161. #16839623C22semidirect
852. #2424D61semidirect
1025. C61#36731semidirect

Maximal subgroups

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

subgroupindex
#214540992
#214529642
#214529602
#214529562
#214529522
#214529252
#214529212
#214529172
#214529132
#214524092
#214524072
#214524042
#214524022
#214522612
#214522572
#214522532
#214522492
#214519232
#214517912
#214495732
#214495712
#214495652
#214495632
#214493592
#214493552
#214493512
#214485202
#214485172
C2×#168396232
C61×#24242
#3673161