Finite Group Databasebeta

← #29888900

Subgroups — #29888900

Order 15616.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454113C211yesmaximal, characteristic, complemented
2#21454099C211yesmaximal, characteristic, complemented
3#21453678C211yesmaximal, characteristic, complemented
4#21453540C211yesmaximal, characteristic, complemented
5#21453141C211yesmaximal, characteristic, complemented
6#21453096C211yesmaximal, characteristic, complemented
7#21453087C211yesmaximal, characteristic, complemented
8#21453040C211yesmaximal, characteristic, complemented
9#21452921C211yesmaximal, characteristic, complemented
10#21452552C211yesmaximal, characteristic, complemented
11#21452545C211yesmaximal, characteristic, complemented
12#21452502C211yesmaximal, characteristic, complemented
13#21452458C211yesmaximal, characteristic, complemented
14#21452402C211yesmaximal, characteristic, complemented
15#21452251C211yesmaximal, characteristic, complemented
16#21452091C211yesmaximal, characteristic, complemented
17#21452084C211yesmaximal, characteristic, complemented
18#21452050C211yesmaximal, characteristic, complemented
19#21451595C211yesmaximal, characteristic, complemented
20#21451557C211yesmaximal, characteristic, complemented
21#21451044C211yesmaximal, characteristic, complemented
22#21450775C211yesmaximal, characteristic, complemented
23#21449452C211yesmaximal, characteristic, complemented
24#21449351C211yesmaximal, characteristic, complemented
25#21449351C211yesmaximal, characteristic, complemented
26#21449285C211yesmaximal, characteristic, complemented
27#21449285C211yesmaximal, characteristic, complemented
28#21448519C211yesmaximal, characteristic, complemented
29#21448452C211yesmaximal, characteristic, complemented
30C2×#16839642C211yesmaximal, characteristic, complemented
31C61×#2408C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33C2×#14519773C2211yescharacteristic
34C2×#14519773C2211yescharacteristic
35C2×#14519761C2211yescharacteristic, complemented
36C2×#14519761C2211yescharacteristic, complemented
37C2×#14519759C2211yescharacteristic, complemented
38C2×#14519759C2211yescharacteristic, complemented
39C2×#14519751C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519749C2211yescharacteristic
42C2×#14519749C2211yescharacteristic, complemented
43C2×#14519749C2211yescharacteristic, complemented
44C2×#14519748C2211yescharacteristic, complemented
45C2×#14519748C2211yescharacteristic, complemented
46C2×#14519746C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×#14519746C2211yescharacteristic
49C2×#14519746C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C22×C22⋊Dic61C2211yescharacteristic
53C22×C22⋊Dic61C2211yescharacteristic
54C22×C22⋊Dic61C2211yescharacteristic
55#16839701C2211yescharacteristic, complemented
56#16839701C2211yescharacteristic, complemented
57#16839698C2211yescharacteristic, complemented
58#16839698C2211yescharacteristic, complemented
59#16839695C2211yescharacteristic, complemented
60#16839695C2211yescharacteristic, complemented
61#16839692C2211yescharacteristic, complemented
62#16839690C2211yescharacteristic, complemented
63#16839690C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839687C2211yescharacteristic, complemented
67#16839687C2211yescharacteristic, complemented
68#16839687C2211yescharacteristic, complemented
69#16839687C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839685C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic, complemented
73#16839679C2211yescharacteristic, complemented
74#16839678C2211yescharacteristic, complemented
75#16839678C2211yescharacteristic, complemented
76#16839678C2211yescharacteristic, complemented
77#16839678C2211yescharacteristic, complemented
78#16839678C2211yescharacteristic, complemented
79#16839678C2211yescharacteristic, complemented
80#16839678C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic, complemented
83#16839677C2211yescharacteristic, complemented
84#16839677C2211yescharacteristic, complemented
85#16839677C2211yescharacteristic, complemented
86#16839676C2211yescharacteristic, complemented
87#16839676C2211yescharacteristic, complemented
88#16839676C2211yescharacteristic, complemented
89#16839676C2211yescharacteristic, complemented
90#16839671C2211yescharacteristic, complemented
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic
93#16839670C2211yescharacteristic
94#16839670C2211yescharacteristic
95#16839670C2211yescharacteristic, complemented
96#16839670C2211yescharacteristic, complemented
97#16839670C2211yescharacteristic, complemented
98#16839670C2211yescharacteristic, complemented
99#16839665C2211yescharacteristic
100#16839665C2211yescharacteristic
101#16839665C2211yescharacteristic, complemented
102#16839665C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839655C2211yescharacteristic, complemented
106#16839655C2211yescharacteristic, complemented
107#16839655C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839653C2211yescharacteristic, complemented
110#16839653C2211yescharacteristic, complemented
111#16839652C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic, complemented
113#16839650C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic, complemented
115#16839649C2211yescharacteristic, complemented
116#16839649C2211yescharacteristic, complemented
117#16839648C2211yescharacteristic, complemented
118#16839648C2211yescharacteristic, complemented
119#16839645C2211yescharacteristic, complemented
120#16839645C2211yescharacteristic, complemented
121#16839645C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic
124#16839642C2211yescharacteristic
125#16839642C2211yescharacteristic
126#16839642C2211yescharacteristic
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic
132#16839642C2211yescharacteristic
133#16839642C2211yescharacteristic, complemented
134#16839642C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic
140#16839639C2211yescharacteristic
141#16839639C2211yescharacteristic
142#16839639C2211yescharacteristic
143#16839639C2211yescharacteristic, complemented
144#16839639C2211yescharacteristic, complemented
145#16839639C2211yescharacteristic, complemented
146#16839639C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839637C2211yescharacteristic
152#16839637C2211yescharacteristic
153#16839637C2211yescharacteristic
154#16839637C2211yescharacteristic
155#16839637C2211yescharacteristic, complemented
156#16839637C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839630C2211yescharacteristic, complemented
160#16839628C2211yescharacteristic, complemented
161#16839625C2211yescharacteristic, complemented
162#16839623C2211yescharacteristic, complemented
163#16839623C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic
166#16839620C2211yescharacteristic
167#16839620C2211yescharacteristic, complemented
168#16839620C2211yescharacteristic, complemented
169C4×C22⋊Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C23×D4×C61C2211yescharacteristic
173C2×#121×C61C2211yescharacteristic
174C2×#121×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic
177C2×C4×D4×C61C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#392C2211yescharacteristic
181C61×#392C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#390C2211yescharacteristic
184C61×#380C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
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
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C23×Dic61—42no—
201C23×Dic61—42no—
202C23×Dic61—42no—
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213#14519773—42no—
214#14519773—42no—
215#14519761—42no—
216#14519761—42no—
217#14519759—42no—
218#14519759—42no—
219#14519751—24no—
220#14519749—42no—
221#14519749—42no—
222#14519749—42no—
223#14519749—42no—
224#14519748—42no—
225#14519748—42no—
226#14519746—42no—
227#14519746—42no—
228#14519746—42no—
229#14519746—42no—
230#14519737—42no—
231#14519737—42no—
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×C22⋊Dic61—42no—
250C2×C22⋊Dic61—42no—
251C2×C22⋊Dic61—42no—
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×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332C25×C61C2311yescharacteristic
333C25×C61C2311yescharacteristic
334C22×D4×C61—24no—
335C22×D4×C61—42no—
336C22×D4×C61—42no—
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C23×C4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348#121×C61—42no—
349#121×C61—42no—
350#120×C61—42no—
351#120×C61—42no—
352C4×D4×C61—24no—
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C42×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—22no—
379C24×C61—22no—
380C24×C61—22no—
381C24×C61—22no—
382C24×C61—22no—
383C24×C61—41no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61—41no—
389C24×C61C2411yescharacteristic
390C24×C61C2411yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—22no—
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—416no—
425C22×C4×C61—22no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61#4114yes—
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—22no—
479C22×Dic61—22no—
480C22×Dic61—22no—
481C22×Dic61—22no—
482C22×Dic61—22no—
483C22×Dic61—22no—
484C22×Dic61—22no—
485C22×Dic61—41no—
486C22×Dic61—41no—
487C22×Dic61—41no—
488C22×Dic61—41no—
489C22×Dic61—41no—
490C22×Dic61—41no—
491C22×Dic61—41no—
492C22×Dic61—41no—
493C22×Dic61—41no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—41no—
500C22×Dic61—416no—
501C22×Dic61C2411yescharacteristic
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C2×D244—22no—
516C2×D244—41no—
517C2×D244—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C22⋊C4×C61—22no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C42×C61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—41no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572#11758198—22no—
573#11758198—22no—
574#11758198—22no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586C4⋊Dic61—22no—
587C4⋊Dic61—22no—
588C4⋊Dic61—41no—
589C4⋊Dic61—41no—
590C4⋊Dic61—41no—
591C4⋊Dic61—41no—
592C4⋊Dic61—41no—
593C4⋊Dic61—41no—
594C4⋊Dic61—41no—
595#11758196—22no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603C4×Dic61—41no—
604C4×Dic61—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—28no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—44no—
646C23×C61—44no—
647C23×C61—44no—
648C23×C61—44no—
649C23×C61—44no—
650C23×C61—44no—
651C23×C61—44no—
652C23×C61—44no—
653C23×C61—44no—
654C23×C61—82no—
655C23×C61—82no—
656C23×C61—82no—
657C23×C61—82no—
658C23×C61C2×#4112yes—
659C23×C61H(5,𝔽2)12yes—
660C23×C61H(5,𝔽2)12yes—
661C23×C61H(5,𝔽2)12yes—
662C23×C61H(5,𝔽2)12yes—
663C23×C61C2511yescharacteristic
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678D4×C61—44no—
679D4×C61—44no—
680D4×C61—44no—
681D4×C61—44no—
682D4×C61—44no—
683D4×C61—82no—
684D4×C61—82no—
685D4×C61—82no—
686D4×C61—82no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—44no—
713C2×C4×C61—82no—
714C2×C4×C61C2×#4112yes—
715C2×C4×C61C2×#4112yes—
716C22⋊D61—44no—
717C22⋊D61—44no—
718C22⋊D61—82no—
719C22⋊D61—82no—
720C22⋊D61—82no—
721C22⋊D61—82no—
722C22⋊D61—82no—
723C22⋊D61—82no—
724C22⋊D61—82no—
725C22⋊D61—82no—
726C22⋊D61—82no—
727C22⋊D61—82no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—44no—
770C2×Dic61—44no—
771C2×Dic61—44no—
772C2×Dic61—44no—
773C2×Dic61—44no—
774C2×Dic61—44no—
775C2×Dic61—82no—
776C2×Dic61—82no—
777C2×Dic61H(5,𝔽2)12yes—
778D244—82no—
779C4×D61—82no—
780C4×D61—82no—
781#36794—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—416no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—88no—
825C22×C61#54014yes—
826C22×C61C22×#4111yescharacteristic
827C22×C61C2×H(5,𝔽2)11yescharacteristic
828C22×C61C2×H(5,𝔽2)11yescharacteristic
829C22×C61C2×H(5,𝔽2)11yescharacteristic
830C22×C61C2×H(5,𝔽2)11yescharacteristic
831C22×C61C2×H(5,𝔽2)11yescharacteristic
832C22×C61#58511yescharacteristic
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856Dic61—22no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870#2849—611no—
871#2847—611no—
872#2797—611no—
873#2786—611no—
874#2756—611no—
875#2753—611no—
876#2752—611no—
877#2749—611no—
878#2740—611no—
879#2709—611no—
880#2709—611no—
881#2706—611no—
882#2703—611no—
883#2699—611no—
884#2688—611no—
885#2673—611no—
886#2673—611no—
887#2671—611no—
888#2622—611no—
889#2617—611no—
890#2569—611no—
891#2543—611no—
892#2433—611no—
893#2424—611no—
894#2424—611no—
895#2418—611no—
896#2418—611no—
897#2408D6111yescharacteristic, complemented
898#2325—611no—
899#2318—611no—
900C2×#386—611no—
901C2×C61—24no—
902C2×C61—42no—
903C2×C61—42no—
904C2×C61—81no—
905C2×C61—81no—
906C2×C61—81no—
907C2×C61C2×#54011yescharacteristic
908C2×C61#349011yescharacteristic
909C2×C61#350611yescharacteristic
910C2×C61#353211yescharacteristic
911C2×C61#353411yescharacteristic
912C2×C61#353411yescharacteristic
913C2×C61#353711yescharacteristic
914D61—81no—
915D61—81no—
916C23×D4C2×D6111yescharacteristic
917C24×C4—611no—
918C2×#127—611no—
919C2×#127—611no—
920C2×#123—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#121—611no—
925C2×#121—611no—
926C2×#121—611no—
927C2×#121—611no—
928C2×#121—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#121C2×D6111yescharacteristic
932C2×#121C2×D6111yescharacteristic
933C2×#120—611no—
934C2×#120—611no—
935C2×#120—611no—
936C2×#120—611no—
937C2×#120C2×D6111yescharacteristic
938C2×#120C2×D6111yescharacteristic
939C2×C4×D4—611no—
940C2×C4×D4—611no—
941C2×C4×D4C2×D6111yescharacteristic
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945#400—611no—
946#400—611no—
947#399—611no—
948#399—611no—
949#398—611no—
950#398—611no—
951#398—611no—
952#397—611no—
953#397—611no—
954#397—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397—611no—
959#397—611no—
960#397—611no—
961#396—611no—
962#396—611no—
963#394—611no—
964#394—611no—
965#394—611no—
966#394—611no—
967#394—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394—611no—
978#394—611no—
979#394—611no—
980#394C2×D6111yescharacteristic
981#394C2×D6111yescharacteristic
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392—611no—
990#392—611no—
991#392C2×D6111yescharacteristic
992#392C2×D6111yescharacteristic
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390C2×D6111yescharacteristic
998#390C2×D6111yescharacteristic
999#388—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387—611no—
1017#387—611no—
1018#387—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#383—611no—
1056#382—611no—
1057#381—611no—
1058#381—611no—
1059#381—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380—611no—
1065#380C2×D6111yescharacteristic
1066#379C2×D6111yescharacteristic
1067#379C2×D6111yescharacteristic
1068C4×C22⋊C4—611no—
1069C2×#95—611no—
1070C2×#95—611no—
1071C61#3679411yescharacteristic, complemented, Sylow
1072C25C22×D6111yescharacteristic
1073C25C22×D6111yescharacteristic
1074C22×D4—24no—
1075C22×D4—42no—
1076C22×D4—42no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4C22×D6111yescharacteristic
1091C22×D4C22×D6111yescharacteristic
1092C22×D4C22×D6111yescharacteristic
1093C22×D4C22×D6111yescharacteristic
1094C22×D4C22×D6111yescharacteristic
1095C22×D4C22×D6111yescharacteristic
1096C22×D4C22×D6111yescharacteristic
1097C22×D4C22×D6111yescharacteristic
1098C22×D4C22×D6111yescharacteristic
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—2442no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114#127—2442no—
1115#127—2442no—
1116#123—2442no—
1117#123—2442no—
1118#123—2442no—
1119#123—2442no—
1120#121—42no—
1121#121—42no—
1122#121—1224no—
1123#121—2442no—
1124#121—2442no—
1125#121—2442no—
1126#121—2442no—
1127#121—2442no—
1128#121—2442no—
1129#120—42no—
1130#120—42no—
1131#120—2442no—
1132#120—2442no—
1133#120—2442no—
1134#120—2442no—
1135C4×D4—24no—
1136C4×D4—2442no—
1137C4×D4—2442no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4C22×D6111yescharacteristic
1156C2×C4⋊C4C22×D6111yescharacteristic
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—2442no—
1201C2×C22⋊C4—2442no—
1202C2×C22⋊C4—2442no—
1203C2×C22⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4C22×D6111yescharacteristic
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
1208C2×C22⋊C4C22×D6111yescharacteristic
1209C2×C22⋊C4C22×D6111yescharacteristic
1210C2×C22⋊C4C22×D6111yescharacteristic
1211C2×C22⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C42—611no—
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42—611no—
1223C2×C42C22×D6111yescharacteristic
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—611no—
1275C24—611no—
1276C24C23×D6111yescharacteristic
1277C24C23×D6111yescharacteristic
1278C24C23×D6111yescharacteristic
1279C24C23×D6111yescharacteristic
1280C24C23×D6111yescharacteristic
1281C24C23×D6111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—416no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—2441no—
1378C22×C4—2441no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—2441no—
1385C22×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
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—24416no—
1399C22×C4#1175822414yes—
1400C22×C4C23×D6111yescharacteristic
1401C22×C4C23×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—1222no—
1413C4⋊C4—1222no—
1414C4⋊C4—1222no—
1415C4⋊C4—2441no—
1416C4⋊C4—2441no—
1417C4⋊C4—2441no—
1418C4⋊C4—2441no—
1419C4⋊C4—2441no—
1420C4⋊C4—2441no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C42—22no—
1488C42—2441no—
1489C42—2441no—
1490C42—2441no—
1491C42—2441no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23C2×#1175822412yes—
1558C23#1451982212yes—
1559C23#1451982212yes—
1560C23#1451982212yes—
1561C23#1451982312yes—
1562C23C24×D6111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—4882no—
1573D4—4882no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—4882no—
1578D4—4882no—
1579D4—4882no—
1580D4—4882no—
1581D4—4882no—
1582D4—4882no—
1583D4—2444no—
1584D4—2444no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—612no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—4882no—
1655C2×C4—4882no—
1656C2×C4—4882no—
1657C2×C4—4882no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4C2×#1175822412yes—
1665C2×C4C2×#1175822412yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—88no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22#1684036514yes—
1724C22C22×#1175822411yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22C2×#1451982211yescharacteristic
1727C22C2×#1451982211yescharacteristic
1728C22C2×#1451982211yescharacteristic
1729C22C2×#1451982311yescharacteristic
1730C22#1684059711yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—1222no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—4881no—
1761C2—4881no—
1762C2C2×#1684036511yescharacteristic
1763C2#2145950611yescharacteristic
1764C2#2145967011yescharacteristic
1765C2#2145996811yescharacteristic
1766C2#2145999711yescharacteristic
1767C2#2146000511yescharacteristic
1768C2#2146004911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2408C2
hypercenter#2408D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2408

Complements

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

NH ≅ G/Ntype
1. #21454113C2semidirect
2. #21454099C2semidirect
3. #21453678C2semidirect
4. #21453540C2semidirect
5. #21453141C2semidirect
6. #21453096C2semidirect
7. #21453087C2semidirect
8. #21453040C2semidirect
9. #21452921C2semidirect
10. #21452552C2semidirect
11. #21452545C2semidirect
12. #21452502C2semidirect
13. #21452458C2semidirect
14. #21452402C2semidirect
15. #21452251C2semidirect
16. #21452091C2semidirect
17. #21452084C2semidirect
18. #21452050C2semidirect
19. #21451595C2semidirect
20. #21451557C2semidirect
21. #21451044C2semidirect
22. #21450775C2semidirect
23. #21449452C2semidirect
24. #21449351C2semidirect
25. #21449351C2semidirect
26. #21449285C2semidirect
27. #21449285C2semidirect
28. #21448519C2semidirect
29. #21448452C2semidirect
30. C2×#16839642C2semidirect
31. C61×#2408C2semidirect
35. C2×#14519761C22semidirect
36. C2×#14519761C22semidirect
37. C2×#14519759C22semidirect
38. C2×#14519759C22semidirect
42. C2×#14519749C22semidirect
43. C2×#14519749C22semidirect
44. C2×#14519748C22semidirect
45. C2×#14519748C22semidirect
55. #16839701C22semidirect
56. #16839701C22semidirect
57. #16839698C22semidirect
58. #16839698C22semidirect
59. #16839695C22semidirect
60. #16839695C22semidirect
61. #16839692C22semidirect
62. #16839690C22semidirect
63. #16839690C22semidirect
64. #16839690C22semidirect
65. #16839690C22semidirect
66. #16839687C22semidirect
67. #16839687C22semidirect
68. #16839687C22semidirect
69. #16839687C22semidirect
70. #16839687C22semidirect
71. #16839685C22semidirect
72. #16839685C22semidirect
73. #16839679C22semidirect
74. #16839678C22semidirect
75. #16839678C22semidirect
76. #16839678C22semidirect
77. #16839678C22semidirect
78. #16839678C22semidirect
79. #16839678C22semidirect
80. #16839678C22semidirect
81. #16839678C22semidirect
82. #16839677C22semidirect
83. #16839677C22semidirect
84. #16839677C22semidirect
85. #16839677C22semidirect
86. #16839676C22semidirect
87. #16839676C22semidirect
88. #16839676C22semidirect
89. #16839676C22semidirect
90. #16839671C22semidirect
95. #16839670C22semidirect
96. #16839670C22semidirect
97. #16839670C22semidirect
98. #16839670C22semidirect
101. #16839665C22semidirect
102. #16839665C22semidirect
103. #16839656C22semidirect
104. #16839656C22semidirect
105. #16839655C22semidirect
106. #16839655C22semidirect
107. #16839655C22semidirect
108. #16839655C22semidirect
109. #16839653C22semidirect
110. #16839653C22semidirect
111. #16839652C22semidirect
112. #16839652C22semidirect
113. #16839650C22semidirect
114. #16839650C22semidirect
115. #16839649C22semidirect
116. #16839649C22semidirect
117. #16839648C22semidirect
118. #16839648C22semidirect
119. #16839645C22semidirect
120. #16839645C22semidirect
121. #16839645C22semidirect
122. #16839645C22semidirect
133. #16839642C22semidirect
134. #16839642C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
143. #16839639C22semidirect
144. #16839639C22semidirect
145. #16839639C22semidirect
146. #16839639C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
155. #16839637C22semidirect
156. #16839637C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839630C22semidirect
160. #16839628C22semidirect
161. #16839625C22semidirect
162. #16839623C22semidirect
163. #16839623C22semidirect
164. #16839622C22semidirect
167. #16839620C22semidirect
168. #16839620C22semidirect
897. #2408D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541132
#214540992
#214536782
#214535402
#214531412
#214530962
#214530872
#214530402
#214529212
#214525522
#214525452
#214525022
#214524582
#214524022
#214522512
#214520912
#214520842
#214520502
#214515952
#214515572
#214510442
#214507752
#214494522
#214493512
#214492852
#214485192
#214484522
C2×#168396422
C61×#24082
#3679461