Finite Group Databasebeta

← #29888379

Subgroups — #29888379

Order 15616.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454111C211yesmaximal, characteristic, complemented
2#21454101C211yesmaximal, characteristic, complemented
3#21453467C211yesmaximal, characteristic, complemented
4#21453462C211yesmaximal, characteristic, complemented
5#21453297C211yesmaximal, characteristic, complemented
6#21453210C211yesmaximal, characteristic, complemented
7#21453097C211yesmaximal, characteristic, complemented
8#21453043C211yesmaximal, characteristic, complemented
9#21453028C211yesmaximal, characteristic, complemented
10#21452953C211yesmaximal, characteristic, complemented
11#21452893C211yesmaximal, characteristic, complemented
12#21452577C211yesmaximal, characteristic, complemented
13#21452526C211yesmaximal, characteristic, complemented
14#21452508C211yesmaximal, characteristic, complemented
15#21452436C211yesmaximal, characteristic, complemented
16#21452433C211yesmaximal, characteristic, complemented
17#21452258C211yesmaximal, characteristic, complemented
18#21452059C211yesmaximal, characteristic, complemented
19#21451599C211yesmaximal, characteristic, complemented
20#21451561C211yesmaximal, characteristic, complemented
21#21450750C211yesmaximal, characteristic, complemented
22#21450709C211yesmaximal, characteristic, complemented
23#21449537C211yesmaximal, characteristic, complemented
24#21449370C211yesmaximal, characteristic, complemented
25#21449355C211yesmaximal, characteristic, complemented
26#21449296C211yesmaximal, characteristic, complemented
27#21449281C211yesmaximal, characteristic, complemented
28#21449253C211yesmaximal, characteristic, complemented
29#21448522C211yesmaximal, characteristic, complemented
30#21448453C211yesmaximal, characteristic, complemented
31C2×C61×#385C211yesmaximal, characteristic, complemented
32C2×#14519768C2211yescharacteristic, complemented
33C2×#14519760C2211yescharacteristic
34C2×#14519760C2211yescharacteristic
35C2×#14519760C2211yescharacteristic
36C2×#14519760C2211yescharacteristic
37C2×#14519760C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519752C2211yescharacteristic, complemented
40C2×#14519751C2211yescharacteristic
41C2×#14519751C2211yescharacteristic
42C2×#14519751C2211yescharacteristic
43C2×#14519751C2211yescharacteristic
44C2×#14519751C2211yescharacteristic
45C2×#14519750C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×#14519746C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C2×C4×C22⋊D61C2211yescharacteristic
51C2×C4×C22⋊D61C2211yescharacteristic
52#16839703C2211yescharacteristic, complemented
53#16839701C2211yescharacteristic, complemented
54#16839701C2211yescharacteristic, complemented
55#16839700C2211yescharacteristic, complemented
56#16839700C2211yescharacteristic, complemented
57#16839698C2211yescharacteristic
58#16839698C2211yescharacteristic
59#16839698C2211yescharacteristic
60#16839697C2211yescharacteristic, complemented
61#16839697C2211yescharacteristic, complemented
62#16839696C2211yescharacteristic, complemented
63#16839696C2211yescharacteristic, complemented
64#16839695C2211yescharacteristic, complemented
65#16839695C2211yescharacteristic, complemented
66#16839693C2211yescharacteristic, complemented
67#16839693C2211yescharacteristic, complemented
68#16839692C2211yescharacteristic, complemented
69#16839692C2211yescharacteristic, complemented
70#16839691C2211yescharacteristic, complemented
71#16839691C2211yescharacteristic, complemented
72#16839690C2211yescharacteristic
73#16839689C2211yescharacteristic, complemented
74#16839688C2211yescharacteristic, complemented
75#16839688C2211yescharacteristic, complemented
76#16839686C2211yescharacteristic, complemented
77#16839685C2211yescharacteristic
78#16839685C2211yescharacteristic
79#16839685C2211yescharacteristic
80#16839684C2211yescharacteristic, complemented
81#16839684C2211yescharacteristic, complemented
82#16839684C2211yescharacteristic, complemented
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839680C2211yescharacteristic, complemented
87#16839679C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic, complemented
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839677C2211yescharacteristic
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic
100#16839663C2211yescharacteristic, complemented
101#16839662C2211yescharacteristic
102#16839662C2211yescharacteristic
103#16839662C2211yescharacteristic
104#16839662C2211yescharacteristic
105#16839662C2211yescharacteristic
106#16839661C2211yescharacteristic, complemented
107#16839661C2211yescharacteristic, complemented
108#16839659C2211yescharacteristic, complemented
109#16839658C2211yescharacteristic, complemented
110#16839656C2211yescharacteristic
111#16839655C2211yescharacteristic
112#16839655C2211yescharacteristic
113#16839654C2211yescharacteristic, complemented
114#16839654C2211yescharacteristic, complemented
115#16839651C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic
119#16839650C2211yescharacteristic
120#16839647C2211yescharacteristic, complemented
121#16839647C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839644C2211yescharacteristic, complemented
124#16839644C2211yescharacteristic, complemented
125#16839644C2211yescharacteristic, complemented
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839636C2211yescharacteristic, complemented
146#16839636C2211yescharacteristic, complemented
147#16839636C2211yescharacteristic, complemented
148#16839635C2211yescharacteristic
149#16839635C2211yescharacteristic
150#16839635C2211yescharacteristic
151#16839635C2211yescharacteristic
152#16839635C2211yescharacteristic
153#16839635C2211yescharacteristic
154#16839629C2211yescharacteristic, complemented
155#16839627C2211yescharacteristic, complemented
156#16839626C2211yescharacteristic, complemented
157#16839625C2211yescharacteristic
158#16839625C2211yescharacteristic
159#16839625C2211yescharacteristic
160#16839624C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic
163#16839622C2211yescharacteristic
164#16839622C2211yescharacteristic
165#16839622C2211yescharacteristic
166#16839622C2211yescharacteristic
167#16839621C2211yescharacteristic, complemented
168#16839621C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839618C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic
172C24×C4×C61C2211yescharacteristic
173C22×C4⋊C4×C61C2211yescharacteristic
174C22×C4⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C22×C22⋊C4×C61C2211yescharacteristic
177C61×#385C2211yescharacteristic
178C61×#385C2211yescharacteristic
179C61×#385C2211yescharacteristic
180C61×#385C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#385C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C2×#95×C61C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C22×D244C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C4×D61C2311yescharacteristic
200C22×C4×D61C2311yescharacteristic
201C22×C4×D61C2311yescharacteristic
202#14519768—42no—
203#14519760—42no—
204#14519760—42no—
205#14519760—42no—
206#14519760—42no—
207#14519760—42no—
208#14519759—42no—
209#14519752—42no—
210#14519751—24no—
211#14519751—42no—
212#14519751—42no—
213#14519751—42no—
214#14519751—42no—
215#14519750—42no—
216#14519746—42no—
217#14519746—42no—
218#14519746—42no—
219C4×C22⋊D61—24no—
220C4×C22⋊D61—42no—
221C4×C22⋊D61—42no—
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
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×#11758196C2311yescharacteristic
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×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
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×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
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
327C25×C61C2311yescharacteristic
328C23×C4×C61—42no—
329C23×C4×C61—42no—
330C23×C4×C61—42no—
331C23×C4×C61C2311yescharacteristic
332C23×C4×C61C2311yescharacteristic
333C23×C4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C23×C4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61—42no—
342C2×C4⋊C4×C61—42no—
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61—24no—
352C2×C22⋊C4×C61—42no—
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
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×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
379C23×D61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C22×C4×C61—22no—
383C22×C4×C61—22no—
384C22×C4×C61—22no—
385C22×C4×C61—22no—
386C22×C4×C61—22no—
387C22×C4×C61—22no—
388C22×C4×C61—22no—
389C22×C4×C61—22no—
390C22×C4×C61—22no—
391C22×C4×C61—22no—
392C22×C4×C61—22no—
393C22×C4×C61—22no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61—41no—
399C22×C4×C61—41no—
400C22×C4×C61—41no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—416no—
412C22×C4×C61#4114yes—
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
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
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—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
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—
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C2×D244—22no—
466C2×D244—22no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×C4×D61—22no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C4⋊C4×C61—22no—
484C4⋊C4×C61—22no—
485C4⋊C4×C61—41no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C22⋊C4×C61—22no—
492C22⋊C4×C61—22no—
493C22⋊C4×C61—22no—
494C22⋊C4×C61—22no—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—41no—
498C22⋊C4×C61—41no—
499C22⋊Dic61—22no—
500C22⋊Dic61—22no—
501C22⋊Dic61—22no—
502C22⋊Dic61—22no—
503C22⋊Dic61—22no—
504C22⋊Dic61—22no—
505C22⋊Dic61—22no—
506C22⋊Dic61—41no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514#11758198—22no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—41no—
519#11758198—41no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
527#11758198—41no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
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—
541C4⋊Dic61—22no—
542C4⋊Dic61—22no—
543C4⋊Dic61—41no—
544C4⋊Dic61—41no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547C4⋊Dic61—41no—
548C4⋊Dic61—41no—
549C4⋊Dic61—41no—
550#11758196—22no—
551#11758196—22no—
552#11758196—41no—
553#11758196—41no—
554#11758196—41no—
555#11758196—41no—
556#11758196—41no—
557#11758196—41no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567C4×Dic61—22no—
568C4×Dic61—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—28no—
577C23×C61—21no—
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—44no—
590C23×C61—44no—
591C23×C61—44no—
592C23×C61—44no—
593C23×C61—44no—
594C23×C61—44no—
595C23×C61C2×#4112yes—
596C23×C61H(5,𝔽2)12yes—
597C23×C61H(5,𝔽2)12yes—
598C23×C61H(5,𝔽2)12yes—
599C23×C612−1+412yes—
600C23×C61C2511yescharacteristic
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
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—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
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—44no—
656C2×C4×C61—44no—
657C2×C4×C61—44no—
658C2×C4×C61—44no—
659C2×C4×C61—44no—
660C2×C4×C61—44no—
661C2×C4×C61—44no—
662C2×C4×C61—44no—
663C2×C4×C61—82no—
664C2×C4×C61—82no—
665C2×C4×C61C2×#4112yes—
666C2×C4×C61C2×#4112yes—
667C2×C4×C61H(5,𝔽2)12yes—
668C22⋊D61—44no—
669C22⋊D61—44no—
670C22⋊D61—44no—
671C22⋊D61—82no—
672C22⋊D61—82no—
673C22⋊D61—82no—
674C22⋊D61—82no—
675C22⋊D61—82no—
676C22⋊D61—82no—
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—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716D244—82no—
717D244—82no—
718D244—82no—
719C4×D61—82no—
720C4×D61—82no—
721C4×D61—82no—
722#36777—611nomaximal, Sylow
723C22×C61—22no—
724C22×C61—22no—
725C22×C61—22no—
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—416no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61#54014yes—
745C22×C61C22×#4111yescharacteristic
746C22×C61C2×H(5,𝔽2)11yescharacteristic
747C22×C61C2×H(5,𝔽2)11yescharacteristic
748C22×C61C2×H(5,𝔽2)11yescharacteristic
749C22×C61C2×H(5,𝔽2)11yescharacteristic
750C22×C61C2×2−1+411yescharacteristic
751C22×C61#58511yescharacteristic
752C2×D61—41no—
753C2×D61—41no—
754C2×D61—41no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
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—
773C4×C61—22no—
774C4×C61—22no—
775C4×C61—22no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785Dic61—41no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798#2849—611no—
799#2847—611no—
800#2780—611no—
801#2780—611no—
802#2768—611no—
803#2761—611no—
804#2753—611no—
805#2749—611no—
806#2748—611no—
807#2743—611no—
808#2738—611no—
809#2711—611no—
810#2707—611no—
811#2706—611no—
812#2701—611no—
813#2701—611no—
814#2688—611no—
815#2671—611no—
816#2623—611no—
817#2618—611no—
818#2539—611no—
819#2534—611no—
820#2442—611no—
821#2425—611no—
822#2424—611no—
823#2419—611no—
824#2418—611no—
825#2416—611no—
826#2325—611no—
827#2318—611no—
828C2×#385D6111yescharacteristic, complemented
829C2×C61—24no—
830C2×C61—42no—
831C2×C61—42no—
832C2×C61C2×#54011yescharacteristic
833C2×C61#349211yescharacteristic
834C2×C61#350511yescharacteristic
835C2×C61#353211yescharacteristic
836C2×C61#353411yescharacteristic
837C2×C61#353511yescharacteristic
838C2×C61#353611yescharacteristic
839D61—81no—
840D61—81no—
841D61—81no—
842C24×C4C2×D6111yescharacteristic
843C2×#125—611no—
844C2×#123—611no—
845C2×#123—611no—
846C2×#123—611no—
847C2×#123—611no—
848C2×#123—611no—
849C2×#123—611no—
850C2×#121—611no—
851C2×#121—611no—
852C2×#121—611no—
853C2×#121—611no—
854C2×#121—611no—
855C2×#121—611no—
856C2×#121—611no—
857C2×#120—611no—
858C2×#120—611no—
859C2×#120—611no—
860C2×C4×D4—611no—
861C2×C4×D4—611no—
862C2×C4×D4—611no—
863C22×C4⋊C4C2×D6111yescharacteristic
864C22×C4⋊C4C2×D6111yescharacteristic
865C22×C22⋊C4C2×D6111yescharacteristic
866C22×C22⋊C4C2×D6111yescharacteristic
867#400—611no—
868#400—611no—
869#400—611no—
870#400—611no—
871#400—611no—
872#399—611no—
873#399—611no—
874#399—611no—
875#399—611no—
876#399—611no—
877#398—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#398—611no—
882#398—611no—
883#398—611no—
884#398—611no—
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#397—611no—
890#397—611no—
891#396—611no—
892#396—611no—
893#396—611no—
894#396—611no—
895#396—611no—
896#396—611no—
897#396—611no—
898#396—611no—
899#396—611no—
900#396—611no—
901#394—611no—
902#394—611no—
903#394—611no—
904#394—611no—
905#394—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394—611no—
912#392—611no—
913#392—611no—
914#392—611no—
915#390—611no—
916#390—611no—
917#390—611no—
918#390—611no—
919#390—611no—
920#390—611no—
921#389—611no—
922#389—611no—
923#389—611no—
924#389—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#387—611no—
936#387—611no—
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#386—611no—
942#386—611no—
943#386—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#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
964#385—611no—
965#385—611no—
966#385—611no—
967#385—611no—
968#385—611no—
969#385C2×D6111yescharacteristic
970#385C2×D6111yescharacteristic
971#385C2×D6111yescharacteristic
972#385C2×D6111yescharacteristic
973#385C2×D6111yescharacteristic
974#385C2×D6111yescharacteristic
975#385C2×D6111yescharacteristic
976#385C2×D6111yescharacteristic
977#383—611no—
978#382—611no—
979#382—611no—
980#381—611no—
981#381—611no—
982#381—611no—
983#381—611no—
984#381—611no—
985#380—611no—
986#380—611no—
987#380—611no—
988#380—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#379—611no—
994C4×C22⋊C4—611no—
995C2×#95C2×D6111yescharacteristic
996C2×#95C2×D6111yescharacteristic
997C61#3677711yescharacteristic, complemented, Sylow
998C25C22×D6111yescharacteristic
999C22×D4—611no—
1000C22×D4—611no—
1001C22×D4—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C22×D4—611no—
1010C22×D4—611no—
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4C22×D6111yescharacteristic
1018C23×C4C22×D6111yescharacteristic
1019C23×C4C22×D6111yescharacteristic
1020C23×C4C22×D6111yescharacteristic
1021C23×C4C22×D6111yescharacteristic
1022C23×C4C22×D6111yescharacteristic
1023C23×C4C22×D6111yescharacteristic
1024C23×C4C22×D6111yescharacteristic
1025C23×C4C22×D6111yescharacteristic
1026C23×C4C22×D6111yescharacteristic
1027#125—2442no—
1028#123—2442no—
1029#123—2442no—
1030#123—2442no—
1031#123—2442no—
1032#123—2442no—
1033#123—2442no—
1034#121—1224no—
1035#121—2442no—
1036#121—2442no—
1037#121—2442no—
1038#121—2442no—
1039#121—2442no—
1040#121—2442no—
1041#120—2442no—
1042#120—2442no—
1043#120—2442no—
1044C4×D4—1224no—
1045C4×D4—2442no—
1046C4×D4—2442no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—42no—
1049C2×C4⋊C4—611no—
1050C2×C4⋊C4—611no—
1051C2×C4⋊C4—611no—
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—611no—
1075C2×C4⋊C4C22×D6111yescharacteristic
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×C4⋊C4C22×D6111yescharacteristic
1083C2×C22⋊C4—24no—
1084C2×C22⋊C4—42no—
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—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⋊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×C22⋊C4C22×D6111yescharacteristic
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42—611no—
1138C2×C42—611no—
1139C2×C42—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#95C22×D6111yescharacteristic
1173#95C22×D6111yescharacteristic
1174#95C22×D6111yescharacteristic
1175#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179#95C22×D6111yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—611no—
1188C24—611no—
1189C24—611no—
1190C24C23×D6111yescharacteristic
1191C24C23×D6111yescharacteristic
1192C24C23×D6111yescharacteristic
1193C2×D4—1222no—
1194C2×D4—1222no—
1195C2×D4—1222no—
1196C2×D4—1222no—
1197C2×D4—1222no—
1198C2×D4—1222no—
1199C2×D4—1222no—
1200C2×D4—1222no—
1201C2×D4—1222no—
1202C2×D4—1222no—
1203C2×D4—1222no—
1204C2×D4—1222no—
1205C2×D4—1222no—
1206C2×D4—1222no—
1207C2×D4—1222no—
1208C2×D4—1222no—
1209C2×D4—1222no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—2441no—
1214C2×D4—2441no—
1215C2×D4—2441no—
1216C2×D4—2441no—
1217C2×D4—2441no—
1218C2×D4—2441no—
1219C2×D4—2441no—
1220C2×D4—2441no—
1221C2×D4—2441no—
1222C2×D4—2441no—
1223C2×D4—2441no—
1224C2×D4—2441no—
1225C2×D4—2441no—
1226C2×D4—2441no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—416no—
1259C22×C4—611no—
1260C22×C4—611no—
1261C22×C4—611no—
1262C22×C4—611no—
1263C22×C4—611no—
1264C22×C4—611no—
1265C22×C4—611no—
1266C22×C4—611no—
1267C22×C4—611no—
1268C22×C4—611no—
1269C22×C4—611no—
1270C22×C4—611no—
1271C22×C4—611no—
1272C22×C4—1222no—
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#1175822214yes—
1282C22×C4C23×D6111yescharacteristic
1283C22×C4C23×D6111yescharacteristic
1284C22×C4C23×D6111yescharacteristic
1285C22×C4C23×D6111yescharacteristic
1286C22×C4C23×D6111yescharacteristic
1287C22×C4C23×D6111yescharacteristic
1288C22×C4C23×D6111yescharacteristic
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—1222no—
1306C4⋊C4—2441no—
1307C4⋊C4—2441no—
1308C4⋊C4—2441no—
1309C4⋊C4—2441no—
1310C4⋊C4—2441no—
1311C4⋊C4—2441no—
1312C4⋊C4—2441no—
1313C4⋊C4—2441no—
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—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—1222no—
1337C22⋊C4—1222no—
1338C22⋊C4—1222no—
1339C22⋊C4—1222no—
1340C22⋊C4—1222no—
1341C22⋊C4—1222no—
1342C22⋊C4—1222no—
1343C22⋊C4—1222no—
1344C22⋊C4—1222no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C22⋊C4—2441no—
1352C22⋊C4—2441no—
1353C22⋊C4—2441no—
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—
1378C42—1222no—
1379C42—2441no—
1380C42—2441no—
1381C42—2441no—
1382C42—2441no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—44no—
1405C23—44no—
1406C23—1221no—
1407C23—1221no—
1408C23—1221no—
1409C23—1221no—
1410C23—1221no—
1411C23—1221no—
1412C23—1221no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23C2×#1175822212yes—
1428C23#1451982212yes—
1429C23#1451982212yes—
1430C23#1451982312yes—
1431C23#1451982512yes—
1432C23C24×D6111yescharacteristic
1433D4—4882no—
1434D4—4882no—
1435D4—4882no—
1436D4—4882no—
1437D4—4882no—
1438D4—4882no—
1439D4—4882no—
1440D4—4882no—
1441D4—4882no—
1442D4—2444no—
1443D4—2444no—
1444D4—2444no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
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—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—82no—
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—1221no—
1527C2×C4—4882no—
1528C2×C4—4882no—
1529C2×C4—4882no—
1530C2×C4C2×#1175822212yes—
1531C2×C4C2×#1175822212yes—
1532C2×C4#1451982212yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—2441no—
1555C22—2441no—
1556C22—2441no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22—2441no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22#1684036314yes—
1576C22C22×#1175822211yescharacteristic
1577C22C2×#1451982211yescharacteristic
1578C22C2×#1451982211yescharacteristic
1579C22C2×#1451982211yescharacteristic
1580C22C2×#1451982311yescharacteristic
1581C22C2×#1451982511yescharacteristic
1582C22#1684059811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—2441no—
1596C4—2441no—
1597C4—2441no—
1598C4—2441no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—4881no—
1612C2—4881no—
1613C2—4881no—
1614C2C2×#1684036311yescharacteristic
1615C2#2145952811yescharacteristic
1616C2#2145965811yescharacteristic
1617C2#2145997411yescharacteristic
1618C2#2146001311yescharacteristic
1619C2#2146002811yescharacteristic
1620C2#2146004811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#385C2
hypercenterC2×#385D61
hypocenterC61#36777
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. #21454111C2semidirect
2. #21454101C2semidirect
3. #21453467C2semidirect
4. #21453462C2semidirect
5. #21453297C2semidirect
6. #21453210C2semidirect
7. #21453097C2semidirect
8. #21453043C2semidirect
9. #21453028C2semidirect
10. #21452953C2semidirect
11. #21452893C2semidirect
12. #21452577C2semidirect
13. #21452526C2semidirect
14. #21452508C2semidirect
15. #21452436C2semidirect
16. #21452433C2semidirect
17. #21452258C2semidirect
18. #21452059C2semidirect
19. #21451599C2semidirect
20. #21451561C2semidirect
21. #21450750C2semidirect
22. #21450709C2semidirect
23. #21449537C2semidirect
24. #21449370C2semidirect
25. #21449355C2semidirect
26. #21449296C2semidirect
27. #21449281C2semidirect
28. #21449253C2semidirect
29. #21448522C2semidirect
30. #21448453C2semidirect
31. C2×C61×#385C2semidirect
32. C2×#14519768C22semidirect
39. C2×#14519752C22semidirect
52. #16839703C22semidirect
53. #16839701C22semidirect
54. #16839701C22semidirect
55. #16839700C22semidirect
56. #16839700C22semidirect
60. #16839697C22semidirect
61. #16839697C22semidirect
62. #16839696C22semidirect
63. #16839696C22semidirect
64. #16839695C22semidirect
65. #16839695C22semidirect
66. #16839693C22semidirect
67. #16839693C22semidirect
68. #16839692C22semidirect
69. #16839692C22semidirect
70. #16839691C22semidirect
71. #16839691C22semidirect
73. #16839689C22semidirect
74. #16839688C22semidirect
75. #16839688C22semidirect
76. #16839686C22semidirect
80. #16839684C22semidirect
81. #16839684C22semidirect
82. #16839684C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
85. #16839684C22semidirect
86. #16839680C22semidirect
87. #16839679C22semidirect
88. #16839679C22semidirect
89. #16839679C22semidirect
90. #16839679C22semidirect
100. #16839663C22semidirect
106. #16839661C22semidirect
107. #16839661C22semidirect
108. #16839659C22semidirect
109. #16839658C22semidirect
113. #16839654C22semidirect
114. #16839654C22semidirect
115. #16839651C22semidirect
116. #16839651C22semidirect
117. #16839651C22semidirect
120. #16839647C22semidirect
121. #16839647C22semidirect
122. #16839645C22semidirect
123. #16839644C22semidirect
124. #16839644C22semidirect
125. #16839644C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
145. #16839636C22semidirect
146. #16839636C22semidirect
147. #16839636C22semidirect
154. #16839629C22semidirect
155. #16839627C22semidirect
156. #16839626C22semidirect
160. #16839624C22semidirect
161. #16839624C22semidirect
167. #16839621C22semidirect
168. #16839621C22semidirect
169. #16839619C22semidirect
828. C2×#385D61semidirect
997. C61#36777semidirect

Maximal subgroups

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

subgroupindex
#214541112
#214541012
#214534672
#214534622
#214532972
#214532102
#214530972
#214530432
#214530282
#214529532
#214528932
#214525772
#214525262
#214525082
#214524362
#214524332
#214522582
#214520592
#214515992
#214515612
#214507502
#214507092
#214495372
#214493702
#214493552
#214492962
#214492812
#214492532
#214485222
#214484532
C2×C61×#3852
#3677761