Finite Group Databasebeta

← #29888443

Subgroups — #29888443

Order 15616.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454132C211yesmaximal, characteristic, complemented
2#21454116C211yesmaximal, characteristic, complemented
3#21453484C211yesmaximal, characteristic, complemented
4#21453475C211yesmaximal, characteristic, complemented
5#21453439C211yesmaximal, characteristic, complemented
6#21453258C211yesmaximal, characteristic, complemented
7#21453240C211yesmaximal, characteristic, complemented
8#21453210C211yesmaximal, characteristic, complemented
9#21453134C211yesmaximal, characteristic, complemented
10#21453035C211yesmaximal, characteristic, complemented
11#21452953C211yesmaximal, characteristic, complemented
12#21452927C211yesmaximal, characteristic, complemented
13#21452856C211yesmaximal, characteristic, complemented
14#21452856C211yesmaximal, characteristic, complemented
15#21452809C211yesmaximal, characteristic, complemented
16#21452440C211yesmaximal, characteristic, complemented
17#21452214C211yesmaximal, characteristic, complemented
18#21452199C211yesmaximal, characteristic, complemented
19#21451601C211yesmaximal, characteristic, complemented
20#21451565C211yesmaximal, characteristic, complemented
21#21450377C211yesmaximal, characteristic, complemented
22#21450149C211yesmaximal, characteristic, complemented
23#21449575C211yesmaximal, characteristic, complemented
24#21449485C211yesmaximal, characteristic, complemented
25#21449366C211yesmaximal, characteristic, complemented
26#21449215C211yesmaximal, characteristic, complemented
27#21449193C211yesmaximal, characteristic
28#21448474C211yesmaximal, characteristic, complemented
29#21448397C211yesmaximal, characteristic, complemented
30C2×#16839655C211yesmaximal, characteristic, complemented
31C61×#2405C211yesmaximal, characteristic, complemented
32C2×#14519770C2211yescharacteristic, complemented
33C2×#14519763C2211yescharacteristic, complemented
34C2×#14519760C2211yescharacteristic, complemented
35C2×#14519754C2211yescharacteristic, complemented
36C2×#14519754C2211yescharacteristic, complemented
37C2×#14519749C2211yescharacteristic
38C2×#14519749C2211yescharacteristic
39C2×#14519746C2211yescharacteristic
40C2×#14519746C2211yescharacteristic
41C2×#14519737C2211yescharacteristic, complemented
42C22×C4⋊Dic61C2211yescharacteristic, complemented
43C22×C22⋊Dic61C2211yescharacteristic
44C22×C22⋊Dic61C2211yescharacteristic
45C22×C22⋊Dic61C2211yescharacteristic
46C22×C4×Dic61C2211yescharacteristic, complemented
47C61⋊#401C2211yescharacteristic, complemented
48#16839703C2211yescharacteristic, complemented
49#16839703C2211yescharacteristic, complemented
50#16839701C2211yescharacteristic, complemented
51#16839701C2211yescharacteristic, complemented
52#16839700C2211yescharacteristic, complemented
53#16839700C2211yescharacteristic, complemented
54#16839698C2211yescharacteristic
55#16839698C2211yescharacteristic, complemented
56#16839698C2211yescharacteristic, complemented
57#16839695C2211yescharacteristic, complemented
58#16839695C2211yescharacteristic, complemented
59#16839693C2211yescharacteristic, complemented
60#16839692C2211yescharacteristic, complemented
61#16839692C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic, complemented
63#16839690C2211yescharacteristic
64#16839690C2211yescharacteristic
65#16839690C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic, complemented
67#16839690C2211yescharacteristic, complemented
68#16839688C2211yescharacteristic, complemented
69#16839687C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic
73#16839685C2211yescharacteristic
74#16839685C2211yescharacteristic, complemented
75#16839685C2211yescharacteristic, complemented
76#16839685C2211yescharacteristic, complemented
77#16839684C2211yescharacteristic, complemented
78#16839684C2211yescharacteristic, complemented
79#16839678C2211yescharacteristic, complemented
80#16839678C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic, complemented
85#16839676C2211yescharacteristic
86#16839676C2211yescharacteristic
87#16839674C2211yescharacteristic
88#16839674C2211yescharacteristic, complemented
89#16839670C2211yescharacteristic
90#16839670C2211yescharacteristic
91#16839667C2211yescharacteristic, complemented
92#16839666C2211yescharacteristic, complemented
93#16839662C2211yescharacteristic
94#16839662C2211yescharacteristic, complemented
95#16839662C2211yescharacteristic, complemented
96#16839658C2211yescharacteristic, complemented
97#16839656C2211yescharacteristic
98#16839656C2211yescharacteristic, complemented
99#16839656C2211yescharacteristic, complemented
100#16839656C2211yescharacteristic, complemented
101#16839656C2211yescharacteristic, complemented
102#16839656C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839655C2211yescharacteristic
105#16839655C2211yescharacteristic
106#16839655C2211yescharacteristic
107#16839655C2211yescharacteristic
108#16839655C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839655C2211yescharacteristic, complemented
111#16839655C2211yescharacteristic, complemented
112#16839655C2211yescharacteristic, complemented
113#16839655C2211yescharacteristic, complemented
114#16839654C2211yescharacteristic, complemented
115#16839651C2211yescharacteristic, complemented
116#16839650C2211yescharacteristic
117#16839650C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839650C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839649C2211yescharacteristic, complemented
123#16839647C2211yescharacteristic, complemented
124#16839644C2211yescharacteristic, complemented
125#16839644C2211yescharacteristic, complemented
126#16839644C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic
132#16839642C2211yescharacteristic
133#16839642C2211yescharacteristic
134#16839642C2211yescharacteristic
135#16839642C2211yescharacteristic
136#16839642C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic, complemented
140#16839639C2211yescharacteristic, complemented
141#16839639C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839635C2211yescharacteristic
149#16839635C2211yescharacteristic, complemented
150#16839634C2211yescharacteristic, complemented
151#16839634C2211yescharacteristic, complemented
152#16839634C2211yescharacteristic, complemented
153#16839629C2211yescharacteristic, complemented
154#16839629C2211yescharacteristic, complemented
155#16839627C2211yescharacteristic, complemented
156#16839626C2211yescharacteristic, complemented
157#16839625C2211yescharacteristic
158#16839625C2211yescharacteristic
159#16839625C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839620C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839620C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic
167#16839618C2211yescharacteristic
168#16839618C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C23×D4×C61C2211yescharacteristic
173C2×#123×C61C2211yescharacteristic
174C2×#123×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#394C2211yescharacteristic
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#385C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C22×Dic122C2311yescharacteristic
188C22×C22⋊D61C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C23×Dic61C2311yescharacteristic
194C23×Dic61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C22×C4×D61C2311yescharacteristic
200#14519770—42no—
201#14519763—42no—
202#14519760—42no—
203#14519754—42no—
204#14519754—42no—
205#14519749—42no—
206#14519749—42no—
207#14519746—24no—
208#14519746—42no—
209#14519737—42no—
210C2×C4⋊Dic61—42no—
211C2×C4⋊Dic61C2311yescharacteristic
212C2×C4⋊Dic61C2311yescharacteristic
213C2×C4⋊Dic61C2311yescharacteristic
214C2×C4⋊Dic61C2311yescharacteristic
215C2×C4⋊Dic61C2311yescharacteristic
216C2×C4⋊Dic61C2311yescharacteristic
217C2×C4⋊Dic61C2311yescharacteristic
218C2×#11758196C2311yescharacteristic
219C2×#11758196C2311yescharacteristic
220C2×#11758196C2311yescharacteristic
221C2×#11758196C2311yescharacteristic
222C2×#11758196C2311yescharacteristic
223C2×#11758196C2311yescharacteristic
224C2×#11758196C2311yescharacteristic
225C2×#11758196C2311yescharacteristic
226C2×#11758196C2311yescharacteristic
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×C22⋊Dic61—42no—
234C2×C22⋊Dic61—42no—
235C2×C22⋊Dic61—42no—
236C2×C22⋊Dic61C2311yescharacteristic
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×C4×Dic61—42no—
275C2×C4×Dic61C2311yescharacteristic
276C2×C4×Dic61C2311yescharacteristic
277C2×C4×Dic61C2311yescharacteristic
278C2×C4×Dic61C2311yescharacteristic
279C2×C4×Dic61C2311yescharacteristic
280C2×C4×Dic61C2311yescharacteristic
281C2×C4×Dic61C2311yescharacteristic
282#14519684C2311yescharacteristic
283#14519684C2311yescharacteristic
284#14519684C2311yescharacteristic
285#14519684C2311yescharacteristic
286#14519684C2311yescharacteristic
287#14519684C2311yescharacteristic
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
322C25×C61C2311yescharacteristic
323C25×C61C2311yescharacteristic
324C22×D4×C61—24no—
325C22×D4×C61—42no—
326C22×D4×C61—42no—
327C22×D4×C61C2311yescharacteristic
328C22×D4×C61C2311yescharacteristic
329C22×D4×C61C2311yescharacteristic
330C22×D4×C61C2311yescharacteristic
331C23×C4×C61C2311yescharacteristic
332C23×C4×C61C2311yescharacteristic
333C23×C4×C61C2311yescharacteristic
334#123×C61—42no—
335#123×C61—42no—
336C2×C4⋊C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C22⋊C4×C61—24no—
341C2×C22⋊C4×C61C2311yescharacteristic
342C2×C22⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
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
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61—22no—
364C24×C61—22no—
365C24×C61—22no—
366C24×C61—41no—
367C24×C61—41no—
368C24×C61—41no—
369C24×C61—41no—
370C24×C61—41no—
371C24×C61—41no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61#4114yes—
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C24×C61C2411yescharacteristic
381C24×C61C2411yescharacteristic
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—41no—
392C2×D4×C61—41no—
393C2×D4×C61—41no—
394C2×D4×C61—41no—
395C2×D4×C61—416no—
396C22×C4×C61—22no—
397C22×C4×C61—22no—
398C22×C4×C61—22no—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
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—
430C22×Dic61—22no—
431C22×Dic61—22no—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×Dic122—22no—
467C2×Dic122—41no—
468C2×Dic122—41no—
469C4⋊C4×C61—41no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C22⋊C4×C61—22no—
474C22⋊C4×C61—22no—
475C22⋊C4×C61—22no—
476C22⋊C4×C61—22no—
477C22⋊C4×C61—22no—
478C22⋊C4×C61—22no—
479C22⋊C4×C61—41no—
480C22⋊C4×C61—41no—
481C22⋊C4×C61—41no—
482C22⋊C4×C61—41no—
483C22⋊C4×C61—41no—
484C22⋊C4×C61—41no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61—41no—
487C22⋊C4×C61—41no—
488C22⋊C4×C61—41no—
489C22⋊C4×C61—41no—
490C22⋊C4×C61—41no—
491C22⋊Dic61—22no—
492C22⋊Dic61—22no—
493C22⋊Dic61—22no—
494C22⋊Dic61—22no—
495C22⋊Dic61—22no—
496C22⋊Dic61—22no—
497C22⋊Dic61—22no—
498C22⋊Dic61—22no—
499C22⋊Dic61—41no—
500C22⋊Dic61—41no—
501C22⋊Dic61—41no—
502C22⋊Dic61—41no—
503C22⋊Dic61—41no—
504C22⋊Dic61—41no—
505C22⋊Dic61—41no—
506C22⋊Dic61—41no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
519C22⋊Dic61—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—
529C4⋊Dic61—22no—
530C4⋊Dic61—41no—
531C4⋊Dic61—41no—
532C4⋊Dic61—41no—
533C4⋊Dic61—41no—
534C4⋊Dic61—41no—
535C4⋊Dic61—41no—
536#11758196—41no—
537#11758196—41no—
538#11758196—41no—
539#11758196—41no—
540#11758196—41no—
541#11758196—41no—
542#11758196—41no—
543#11758196—41no—
544#11758196—41no—
545#11758196—41no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551C4×Dic61—22no—
552C4×Dic61—22no—
553C4×Dic61—41no—
554C4×Dic61—41no—
555C4×Dic61—41no—
556C4×Dic61—41no—
557C4×Dic61—41no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—28no—
575C23×C61—21no—
576C23×C61—21no—
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—82no—
593C23×C61—82no—
594C23×C61—82no—
595C23×C61—82no—
596C23×C61—82no—
597C23×C61—82no—
598C23×C61—82no—
599C23×C61—82no—
600C23×C61—82no—
601C23×C61—82no—
602C23×C61C2×#4112yes—
603C23×C61C2×#4112yes—
604C23×C61C2×#4112yes—
605C23×C61H(5,𝔽2)12yes—
606C23×C61H(5,𝔽2)12yes—
607C23×C61C2511yescharacteristic
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615D4×C61—44no—
616D4×C61—44no—
617D4×C61—44no—
618D4×C61—44no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—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—44no—
650C2×C4×C61—44no—
651C2×C4×C61—44no—
652C22⋊D61—44no—
653C22⋊D61—82no—
654C22⋊D61—82no—
655C22⋊D61—82no—
656C22⋊D61—82no—
657C2×Dic61—21no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
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—44no—
702C2×Dic61—44no—
703C2×Dic61—82no—
704C2×Dic61—82no—
705C2×Dic61—82no—
706C2×Dic61—82no—
707C2×Dic61H(5,𝔽2)12yes—
708C4×D61—82no—
709Dic122—82no—
710#36779—611nomaximal, Sylow
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—22no—
717C22×C61—22no—
718C22×C61—22no—
719C22×C61—22no—
720C22×C61—22no—
721C22×C61—22no—
722C22×C61—22no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
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—41no—
745C22×C61—88no—
746C22×C61—88no—
747C22×C61#53814yes—
748C22×C61C22×#4111yescharacteristic
749C22×C61C2×H(5,𝔽2)11yescharacteristic
750C22×C61C2×H(5,𝔽2)11yescharacteristic
751C22×C61C2×H(5,𝔽2)11yescharacteristic
752C22×C61#58511yescharacteristic
753C22×C61#58511yescharacteristic
754C22×C61#58511yescharacteristic
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C4×C61—41no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772Dic61—22no—
773Dic61—41no—
774Dic61—41no—
775Dic61—41no—
776Dic61—41no—
777Dic61—41no—
778Dic61—41no—
779Dic61—41no—
780Dic61—41no—
781Dic61—41no—
782Dic61—41no—
783Dic61—41no—
784Dic61—41no—
785Dic61—41no—
786Dic61—41no—
787#2852—611no—
788#2850—611no—
789#2781—611no—
790#2781—611no—
791#2778—611no—
792#2765—611no—
793#2764—611no—
794#2761—611no—
795#2756—611no—
796#2749—611no—
797#2743—611no—
798#2741—611no—
799#2735—611no—
800#2735—611no—
801#2730—611no—
802#2702—611no—
803#2685—611no—
804#2684—611no—
805#2623—611no—
806#2618—611no—
807#2510—611no—
808#2488—611no—
809#2444—611no—
810#2437—611no—
811#2425—611no—
812#2412—611no—
813#2410—611no—
814#2405D6111yescharacteristic, complemented
815#2321—611no—
816#2308—611no—
817C2×#388—611no—
818C2×C61—24no—
819C2×C61—42no—
820C2×C61—42no—
821C2×C61—81no—
822C2×C61—81no—
823C2×C61C2×#53811yescharacteristic
824C2×C61#349111yescharacteristic
825C2×C61#350511yescharacteristic
826C2×C61#353411yescharacteristic
827C2×C61#354211yescharacteristic
828C2×C61#354511yescharacteristic
829C2×C61#356011yescharacteristic
830D61—81no—
831C23×D4C2×D6111yescharacteristic
832C2×#126—611no—
833C2×#124—611no—
834C2×#123—611no—
835C2×#123C2×D6111yescharacteristic
836C2×#123C2×D6111yescharacteristic
837C2×C22⋊Q8—611no—
838C2×C22⋊Q8—611no—
839C2×#121—611no—
840C2×#121—611no—
841C2×#120—611no—
842C2×#120—611no—
843C2×C4×D4—611no—
844C22×C4⋊C4—611no—
845C22×C22⋊C4—611no—
846C22×C22⋊C4—611no—
847C22×C22⋊C4—611no—
848C22×C22⋊C4C2×D6111yescharacteristic
849C22×C42—611no—
850#401—611no—
851#400—611no—
852#400—611no—
853#400—611no—
854#400—611no—
855#400—611no—
856#400—611no—
857#399—611no—
858#399—611no—
859#399—611no—
860#398—611no—
861#398—611no—
862#398—611no—
863#398—611no—
864#398—611no—
865#397—611no—
866#397—611no—
867#397—611no—
868#397—611no—
869#397—611no—
870#397—611no—
871#397—611no—
872#397—611no—
873#397—611no—
874#397—611no—
875#396—611no—
876#396—611no—
877#396—611no—
878#396—611no—
879#396—611no—
880#396—611no—
881#396—611no—
882#394—611no—
883#394—611no—
884#394—611no—
885#394—611no—
886#394—611no—
887#394—611no—
888#394—611no—
889#394—611no—
890#394C2×D6111yescharacteristic
891#394C2×D6111yescharacteristic
892#394C2×D6111yescharacteristic
893#394C2×D6111yescharacteristic
894#393—611no—
895#393—611no—
896#392—611no—
897#392—611no—
898#391—611no—
899#391—611no—
900#390—611no—
901#390—611no—
902#390—611no—
903#389—611no—
904#388—611no—
905#388—611no—
906#388—611no—
907#388—611no—
908#388—611no—
909#388—611no—
910#388—611no—
911#388—611no—
912#388—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#387—611no—
930#387—611no—
931#387—611no—
932#387—611no—
933#387—611no—
934#386—611no—
935#386—611no—
936#386—611no—
937#386—611no—
938#386—611no—
939#386—611no—
940#386—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#386C2×D6111yescharacteristic
954#386C2×D6111yescharacteristic
955#385—611no—
956#385—611no—
957#385—611no—
958#385—611no—
959#385—611no—
960#385—611no—
961#385—611no—
962#385C2×D6111yescharacteristic
963#385C2×D6111yescharacteristic
964#383—611no—
965#383—611no—
966#382—611no—
967#382—611no—
968#381—611no—
969#381—611no—
970#381—611no—
971#381—611no—
972#380—611no—
973#380—611no—
974#380—611no—
975#380—611no—
976#380—611no—
977#379—611no—
978#379—611no—
979#379—611no—
980#379C2×D6111yescharacteristic
981#379C2×D6111yescharacteristic
982#379C2×D6111yescharacteristic
983C4×C22⋊C4—611no—
984C2×#95—611no—
985C2×#95—611no—
986C61#3677911yescharacteristic, complemented, Sylow
987C25C22×D6111yescharacteristic
988C25C22×D6111yescharacteristic
989C22×Q8—611no—
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4—611no—
994C22×D4—611no—
995C22×D4—611no—
996C22×D4—611no—
997C22×D4—611no—
998C22×D4C22×D6111yescharacteristic
999C22×D4C22×D6111yescharacteristic
1000C22×D4C22×D6111yescharacteristic
1001C22×D4C22×D6111yescharacteristic
1002C23×C4—611no—
1003C23×C4—611no—
1004C23×C4—611no—
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—611no—
1009C23×C4C22×D6111yescharacteristic
1010C23×C4C22×D6111yescharacteristic
1011C23×C4C22×D6111yescharacteristic
1012#126—2442no—
1013#124—2442no—
1014#123—42no—
1015#123—42no—
1016#123—2442no—
1017C22⋊Q8—2442no—
1018C22⋊Q8—2442no—
1019#121—2442no—
1020#121—2442no—
1021#120—1224no—
1022#120—2442no—
1023C4×D4—2442no—
1024C2×C4⋊C4—611no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—611no—
1033C2×C4⋊C4—611no—
1034C2×C4⋊C4—611no—
1035C2×C4⋊C4—611no—
1036C2×C4⋊C4—611no—
1037C2×C4⋊C4—611no—
1038C2×C4⋊C4—611no—
1039C2×C4⋊C4—611no—
1040C2×C4⋊C4—611no—
1041C2×C4⋊C4—611no—
1042C2×C4⋊C4—611no—
1043C2×C4⋊C4—611no—
1044C2×C4⋊C4—611no—
1045C2×C4⋊C4—611no—
1046C2×C4⋊C4—2442no—
1047C2×C4⋊C4C22×D6111yescharacteristic
1048C2×C4⋊C4C22×D6111yescharacteristic
1049C2×C4⋊C4C22×D6111yescharacteristic
1050C2×C4⋊C4C22×D6111yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—611no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—611no—
1059C2×C22⋊C4—611no—
1060C2×C22⋊C4—611no—
1061C2×C22⋊C4—611no—
1062C2×C22⋊C4—611no—
1063C2×C22⋊C4—611no—
1064C2×C22⋊C4—611no—
1065C2×C22⋊C4—611no—
1066C2×C22⋊C4—611no—
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
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—2442no—
1091C2×C22⋊C4—2442no—
1092C2×C22⋊C4—2442no—
1093C2×C22⋊C4C22×D6111yescharacteristic
1094C2×C22⋊C4C22×D6111yescharacteristic
1095C2×C22⋊C4C22×D6111yescharacteristic
1096C2×C22⋊C4C22×D6111yescharacteristic
1097C2×C22⋊C4C22×D6111yescharacteristic
1098C2×C22⋊C4C22×D6111yescharacteristic
1099C2×C22⋊C4C22×D6111yescharacteristic
1100C2×C22⋊C4C22×D6111yescharacteristic
1101C2×C22⋊C4C22×D6111yescharacteristic
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4C22×D6111yescharacteristic
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
1109C2×C22⋊C4C22×D6111yescharacteristic
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C42—611no—
1112C2×C42—611no—
1113C2×C42—611no—
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—611no—
1117C2×C42—611no—
1118C2×C42—2442no—
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
1137#95—611no—
1138#95—611no—
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#95C22×D6111yescharacteristic
1160#95C22×D6111yescharacteristic
1161#95C22×D6111yescharacteristic
1162#95C22×D6111yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24—611no—
1177C24#1175822414yes—
1178C24C23×D6111yescharacteristic
1179C24C23×D6111yescharacteristic
1180C24C23×D6111yescharacteristic
1181C24C23×D6111yescharacteristic
1182C24C23×D6111yescharacteristic
1183C2×Q8—1222no—
1184C2×Q8—2441no—
1185C2×Q8—2441no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—416no—
1199C2×D4—1222no—
1200C2×D4—1222no—
1201C2×D4—1222no—
1202C2×D4—1222no—
1203C2×D4—1222no—
1204C2×D4—1222no—
1205C2×D4—2441no—
1206C2×D4—2441no—
1207C2×D4—2441no—
1208C2×D4—2441no—
1209C2×D4—2441no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—2441no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—611no—
1224C22×C4—611no—
1225C22×C4—611no—
1226C22×C4—611no—
1227C22×C4—611no—
1228C22×C4—611no—
1229C22×C4—611no—
1230C22×C4—611no—
1231C22×C4—611no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—611no—
1238C22×C4—1222no—
1239C22×C4—1222no—
1240C22×C4—1222no—
1241C22×C4—1222no—
1242C22×C4—1222no—
1243C22×C4—2441no—
1244C22×C4—2441no—
1245C22×C4—2441no—
1246C22×C4—2441no—
1247C22×C4—2441no—
1248C22×C4—2441no—
1249C22×C4—2441no—
1250C22×C4—2441no—
1251C22×C4—2441no—
1252C22×C4—2441no—
1253C22×C4—2441no—
1254C22×C4—2441no—
1255C22×C4—2441no—
1256C22×C4—2441no—
1257C22×C4—2441no—
1258C22×C4—2441no—
1259C22×C4C23×D6111yescharacteristic
1260C22×C4C23×D6111yescharacteristic
1261C22×C4C23×D6111yescharacteristic
1262C22×C4C23×D6111yescharacteristic
1263C22×C4C23×D6111yescharacteristic
1264C22×C4C23×D6111yescharacteristic
1265C22×C4C23×D6111yescharacteristic
1266C22×C4C23×D6111yescharacteristic
1267C22×C4C23×D6111yescharacteristic
1268C22×C4C23×D6111yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—1222no—
1274C4⋊C4—2441no—
1275C4⋊C4—2441no—
1276C4⋊C4—2441no—
1277C4⋊C4—2441no—
1278C4⋊C4—2441no—
1279C4⋊C4—2441no—
1280C4⋊C4—2441no—
1281C4⋊C4—2441no—
1282C4⋊C4—2441no—
1283C4⋊C4—2441no—
1284C4⋊C4—2441no—
1285C4⋊C4—2441no—
1286C4⋊C4—2441no—
1287C4⋊C4—2441no—
1288C4⋊C4—2441no—
1289C4⋊C4—2441no—
1290C4⋊C4—2441no—
1291C4⋊C4—2441no—
1292C4⋊C4—2441no—
1293C4⋊C4—2441no—
1294C4⋊C4—2441no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—1222no—
1314C22⋊C4—1222no—
1315C22⋊C4—1222no—
1316C22⋊C4—1222no—
1317C22⋊C4—1222no—
1318C22⋊C4—1222no—
1319C22⋊C4—1222no—
1320C22⋊C4—1222no—
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—2441no—
1333C22⋊C4—2441no—
1334C22⋊C4—2441no—
1335C22⋊C4—2441no—
1336C22⋊C4—2441no—
1337C22⋊C4—2441no—
1338C22⋊C4—2441no—
1339C22⋊C4—2441no—
1340C22⋊C4—2441no—
1341C22⋊C4—2441no—
1342C22⋊C4—2441no—
1343C22⋊C4—2441no—
1344C22⋊C4—2441no—
1345C22⋊C4—2441no—
1346C22⋊C4—2441no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C42—1222no—
1352C42—1222no—
1353C42—2441no—
1354C42—2441no—
1355C42—2441no—
1356C42—2441no—
1357C42—2441no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23—82no—
1397C23—82no—
1398C23—82no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—1221no—
1403C23—1221no—
1404C23—1221no—
1405C23—1221no—
1406C23—1221no—
1407C23—1221no—
1408C23—1221no—
1409C23C2×#1175822412yes—
1410C23C2×#1175822412yes—
1411C23C2×#1175822412yes—
1412C23#1451982212yes—
1413C23#1451982212yes—
1414C23C24×D6111yescharacteristic
1415Q8—4882no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—4882no—
1421D4—4882no—
1422D4—4882no—
1423D4—4882no—
1424D4—2444no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—612no—
1459C2×C4—1221no—
1460C2×C4—1221no—
1461C2×C4—1221no—
1462C2×C4—1221no—
1463C2×C4—1221no—
1464C2×C4—1221no—
1465C2×C4—1221no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
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—4882no—
1504C2×C4—4882no—
1505C2×C4—4882no—
1506C2×C4—4882no—
1507C2×C4—4882no—
1508C2×C4—2444no—
1509C2×C4—2444no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—88no—
1545C22—88no—
1546C22—2441no—
1547C22—2441no—
1548C22—2441no—
1549C22—2441no—
1550C22—2441no—
1551C22—2441no—
1552C22—2441no—
1553C22#1684034714yes—
1554C22C22×#1175822411yescharacteristic
1555C22H(5,𝔽2)×D6111yescharacteristic
1556C22C2×#1451982211yescharacteristic
1557C22C2×#1451982211yescharacteristic
1558C22#1684059711yescharacteristic
1559C22#1684059811yescharacteristic
1560C22#1684059811yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—1222no—
1572C4—2441no—
1573C4—2441no—
1574C4—2441no—
1575C4—2441no—
1576C4—2441no—
1577C4—2441no—
1578C4—2441no—
1579C4—2441no—
1580C4—2441no—
1581C4—2441no—
1582C4—2441no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—4881no—
1592C2C2×#1684034711yescharacteristic
1593C2#2145951511yescharacteristic
1594C2#2145965611yescharacteristic
1595C2#2146000411yescharacteristic
1596C2#2146012011yescharacteristic
1597C2#2146016611yescharacteristic
1598C2#2146036311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2405C2
prime radical#21449193C2
hypercenter#2405D61
hypocenterC61#36779
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. #21454132C2semidirect
2. #21454116C2semidirect
3. #21453484C2semidirect
4. #21453475C2semidirect
5. #21453439C2semidirect
6. #21453258C2semidirect
7. #21453240C2semidirect
8. #21453210C2semidirect
9. #21453134C2semidirect
10. #21453035C2semidirect
11. #21452953C2semidirect
12. #21452927C2semidirect
13. #21452856C2semidirect
14. #21452856C2semidirect
15. #21452809C2semidirect
16. #21452440C2semidirect
17. #21452214C2semidirect
18. #21452199C2semidirect
19. #21451601C2semidirect
20. #21451565C2semidirect
21. #21450377C2semidirect
22. #21450149C2semidirect
23. #21449575C2semidirect
24. #21449485C2semidirect
25. #21449366C2semidirect
26. #21449215C2semidirect
28. #21448474C2semidirect
29. #21448397C2semidirect
30. C2×#16839655C2semidirect
31. C61×#2405C2semidirect
32. C2×#14519770C22semidirect
33. C2×#14519763C22semidirect
34. C2×#14519760C22semidirect
35. C2×#14519754C22semidirect
36. C2×#14519754C22semidirect
41. C2×#14519737C22semidirect
42. C22×C4⋊Dic61C22semidirect
46. C22×C4×Dic61C22semidirect
47. C61⋊#401C22semidirect
48. #16839703C22semidirect
49. #16839703C22semidirect
50. #16839701C22semidirect
51. #16839701C22semidirect
52. #16839700C22semidirect
53. #16839700C22semidirect
55. #16839698C22semidirect
56. #16839698C22semidirect
57. #16839695C22semidirect
58. #16839695C22semidirect
59. #16839693C22semidirect
60. #16839692C22semidirect
61. #16839692C22semidirect
62. #16839691C22semidirect
65. #16839690C22semidirect
66. #16839690C22semidirect
67. #16839690C22semidirect
68. #16839688C22semidirect
69. #16839687C22semidirect
70. #16839687C22semidirect
71. #16839687C22semidirect
74. #16839685C22semidirect
75. #16839685C22semidirect
76. #16839685C22semidirect
77. #16839684C22semidirect
78. #16839684C22semidirect
79. #16839678C22semidirect
80. #16839678C22semidirect
81. #16839678C22semidirect
84. #16839677C22semidirect
88. #16839674C22semidirect
91. #16839667C22semidirect
92. #16839666C22semidirect
94. #16839662C22semidirect
95. #16839662C22semidirect
96. #16839658C22semidirect
98. #16839656C22semidirect
99. #16839656C22semidirect
100. #16839656C22semidirect
101. #16839656C22semidirect
102. #16839656C22semidirect
103. #16839656C22semidirect
108. #16839655C22semidirect
109. #16839655C22semidirect
110. #16839655C22semidirect
111. #16839655C22semidirect
112. #16839655C22semidirect
113. #16839655C22semidirect
114. #16839654C22semidirect
115. #16839651C22semidirect
117. #16839650C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
120. #16839650C22semidirect
121. #16839650C22semidirect
122. #16839649C22semidirect
123. #16839647C22semidirect
124. #16839644C22semidirect
125. #16839644C22semidirect
126. #16839644C22semidirect
138. #16839641C22semidirect
139. #16839639C22semidirect
140. #16839639C22semidirect
141. #16839639C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839637C22semidirect
147. #16839637C22semidirect
149. #16839635C22semidirect
150. #16839634C22semidirect
151. #16839634C22semidirect
152. #16839634C22semidirect
153. #16839629C22semidirect
154. #16839629C22semidirect
155. #16839627C22semidirect
156. #16839626C22semidirect
159. #16839625C22semidirect
160. #16839624C22semidirect
161. #16839620C22semidirect
162. #16839620C22semidirect
163. #16839620C22semidirect
164. #16839620C22semidirect
165. #16839619C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
814. #2405D61semidirect
986. C61#36779semidirect

Maximal subgroups

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

subgroupindex
#214541322
#214541162
#214534842
#214534752
#214534392
#214532582
#214532402
#214532102
#214531342
#214530352
#214529532
#214529272
#214528562
#214528092
#214524402
#214522142
#214521992
#214516012
#214515652
#214503772
#214501492
#214495752
#214494852
#214493662
#214492152
#214491932
#214484742
#214483972
C2×#168396552
C61×#24052
#3677961