Finite Group Databasebeta

← #29848818

Subgroups — #29848818

Order 15616.

2668 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
1C2×#16840290C211yesmaximal, characteristic, complemented
2#21450074C211yesmaximal, characteristic, complemented
3#21450059C211yesmaximal, characteristic, complemented
4#21450044C211yesmaximal, characteristic, complemented
5#21450029C211yesmaximal, characteristic, complemented
6#21450014C211yesmaximal, characteristic, complemented
7#21449999C211yesmaximal, characteristic, complemented
8#21449984C211yesmaximal, characteristic, complemented
9#21449969C211yesmaximal, characteristic, complemented
10#21449954C211yesmaximal, characteristic, complemented
11#21449939C211yesmaximal, characteristic, complemented
12#21449924C211yesmaximal, characteristic, complemented
13#21449909C211yesmaximal, characteristic, complemented
14#21449628C211yesmaximal, characteristic, complemented
15#21449554C211yesmaximal, characteristic, complemented
16#21449355C211yesmaximal, characteristic
17#21449281C211yesmaximal, characteristic, complemented
18#21449087C211yesmaximal, characteristic, complemented
19#21449076C211yesmaximal, characteristic, complemented
20#21449076C211yesmaximal, characteristic, complemented
21#21449055C211yesmaximal, characteristic, complemented
22C4×#14519756C211yesmaximal, characteristic, complemented
23C4×#14519751C211yesmaximal, characteristic, complemented
24C4×#14519746C211yesmaximal, characteristic, complemented
25C4×#14519746C211yesmaximal, characteristic, complemented
26#21448317C211yesmaximal, characteristic, complemented
27#21448278C211yesmaximal, characteristic, complemented
28#21448262C211yesmaximal, characteristic, complemented
29#21448256C211yesmaximal, characteristic, complemented
30C42×C22⋊D61C211yesmaximal, characteristic, complemented
31C22×#117×C61C211yesmaximal, characteristic, complemented
32#16840290—28no—
33C2×#14519772C2211yescharacteristic, complemented
34C2×#14519770C2211yescharacteristic
35C2×#14519767C2211yescharacteristic, complemented
36C2×#14519763C2211yescharacteristic
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519759C2211yescharacteristic
39C2×#14519756C2211yescharacteristic
40C2×#14519755C2211yescharacteristic, complemented
41C2×#14519751C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519746C2211yescharacteristic
44C2×#14519746C2211yescharacteristic
45C2×C4×Dic122C2211yescharacteristic, complemented
46C2×C4×D244C2211yescharacteristic, complemented
47C2×C4×C22⋊D61C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C2×C4×C22⋊D61C2211yescharacteristic
51C2×C4×C22⋊D61C2211yescharacteristic
52C2×C4×C22⋊D61C2211yescharacteristic
53C2×C4×C22⋊D61C2211yescharacteristic
54C2×C4×C22⋊D61C2211yescharacteristic
55C2×#14519734C2211yescharacteristic, complemented
56C2×C42×D61C2211yescharacteristic, complemented
57#16839701C2211yescharacteristic, complemented
58#16839700C2211yescharacteristic, complemented
59#16839700C2211yescharacteristic, complemented
60#16839698C2211yescharacteristic
61#16839697C2211yescharacteristic, complemented
62#16839697C2211yescharacteristic, complemented
63#16839695C2211yescharacteristic, complemented
64#16839695C2211yescharacteristic, complemented
65#16839693C2211yescharacteristic, complemented
66#16839693C2211yescharacteristic, complemented
67#16839692C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic
69#16839690C2211yescharacteristic
70#16839690C2211yescharacteristic
71#16839690C2211yescharacteristic
72#16839688C2211yescharacteristic, complemented
73#16839688C2211yescharacteristic, complemented
74#16839687C2211yescharacteristic
75#16839685C2211yescharacteristic
76#16839685C2211yescharacteristic
77#16839684C2211yescharacteristic, complemented
78#16839684C2211yescharacteristic, complemented
79#16839682C2211yescharacteristic, complemented
80#16839679C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic
85#16839677C2211yescharacteristic
86#16839677C2211yescharacteristic
87#16839674C2211yescharacteristic
88#16839671C2211yescharacteristic
89#16839668C2211yescharacteristic, complemented
90#16839664C2211yescharacteristic, complemented
91#16839662C2211yescharacteristic
92#16839662C2211yescharacteristic
93#16839660C2211yescharacteristic, complemented
94#16839660C2211yescharacteristic, complemented
95#16839657C2211yescharacteristic, complemented
96#16839657C2211yescharacteristic, complemented
97#16839656C2211yescharacteristic
98#16839656C2211yescharacteristic
99#16839655C2211yescharacteristic
100#16839655C2211yescharacteristic
101#16839655C2211yescharacteristic
102#16839655C2211yescharacteristic
103#16839653C2211yescharacteristic, complemented
104#16839653C2211yescharacteristic, complemented
105#16839653C2211yescharacteristic, complemented
106#16839653C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839650C2211yescharacteristic
110#16839650C2211yescharacteristic
111#16839648C2211yescharacteristic, complemented
112#16839648C2211yescharacteristic, complemented
113#16839648C2211yescharacteristic, complemented
114#16839648C2211yescharacteristic, complemented
115#16839646C2211yescharacteristic, complemented
116#16839646C2211yescharacteristic, complemented
117#16839646C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839643C2211yescharacteristic, complemented
120#16839643C2211yescharacteristic, complemented
121#16839641C2211yescharacteristic
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839641C2211yescharacteristic
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839635C2211yescharacteristic
134#16839635C2211yescharacteristic
135#16839635C2211yescharacteristic
136#16839635C2211yescharacteristic
137#16839635C2211yescharacteristic
138#16839635C2211yescharacteristic
139#16839635C2211yescharacteristic
140#16839635C2211yescharacteristic
141#16839635C2211yescharacteristic
142#16839635C2211yescharacteristic
143#16839633C2211yescharacteristic, complemented
144#16839633C2211yescharacteristic, complemented
145#16839622C2211yescharacteristic
146#16839622C2211yescharacteristic
147#16839618C2211yescharacteristic
148#16839618C2211yescharacteristic
149C4×#11758196C2211yescharacteristic, complemented
150C4×#11758196C2211yescharacteristic, complemented
151C4×#11758196C2211yescharacteristic, complemented
152C4×#11758196C2211yescharacteristic, complemented
153C4×#11758196C2211yescharacteristic, complemented
154C4×#11758196C2211yescharacteristic, complemented
155C4×C4⋊Dic61C2211yescharacteristic, complemented
156C4×C4⋊Dic61C2211yescharacteristic, complemented
157C4×#11758198C2211yescharacteristic, complemented
158C4×#11758198C2211yescharacteristic, complemented
159C4×#11758198C2211yescharacteristic, complemented
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic
164C4×C22⋊Dic61C2211yescharacteristic
165C4×C22⋊Dic61C2211yescharacteristic
166C4×C22⋊Dic61C2211yescharacteristic
167C4×C22⋊Dic61C2211yescharacteristic
168C4×C22⋊Dic61C2211yescharacteristic
169C4×C22⋊Dic61C2211yescharacteristic
170C4×C22⋊Dic61C2211yescharacteristic
171#16839608C2211yescharacteristic, complemented
172C42×Dic61C2211yescharacteristic, complemented
173C24×C4×C61C2211yescharacteristic
174C2×#117×C61—28no—
175C2×#117×C61C2211yescharacteristic
176C2×#117×C61C2211yescharacteristic
177C2×#117×C61C2211yescharacteristic
178C2×#117×C61C2211yescharacteristic
179C2×#117×C61C2211yescharacteristic
180C2×#117×C61C2211yescharacteristic
181C2×#117×C61C2211yescharacteristic
182C2×#117×C61C2211yescharacteristic
183C22×C4⋊C4×C61C2211yescharacteristic
184C22×C4⋊C4×C61C2211yescharacteristic
185C22×C22⋊C4×C61C2211yescharacteristic
186C22×C22⋊C4×C61C2211yescharacteristic
187C22×C42×C61C2211yescharacteristic
188C22×C42×C61C2211yescharacteristic
189C22×Dic122C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C4×D61C2311yescharacteristic
198C22×C4×D61C2311yescharacteristic
199C22×C4×D61C2311yescharacteristic
200C22×C4×D61C2311yescharacteristic
201#14519772—24no—
202#14519770—24no—
203#14519767—24no—
204#14519763—24no—
205#14519762—24no—
206#14519759—24no—
207#14519756—24no—
208#14519755—24no—
209#14519751—24no—
210#14519750—24no—
211#14519746—24no—
212#14519746—24no—
213C4×Dic122—24no—
214C4×D244—24no—
215C4×C22⋊D61—24no—
216C4×C22⋊D61—24no—
217C4×C22⋊D61—24no—
218C4×C22⋊D61—24no—
219C4×C22⋊D61—24no—
220C4×C22⋊D61—24no—
221C4×C22⋊D61—24no—
222C4×C22⋊D61—24no—
223#14519734—24no—
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
285C2×C4×Dic61C2311yescharacteristic
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C42×D61—24no—
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333C25×C61C2311yescharacteristic
334C23×C4×C61—24no—
335C23×C4×C61—24no—
336C23×C4×C61—24no—
337C23×C4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346C23×C4×C61C2311yescharacteristic
347#117×C61—24no—
348#117×C61—24no—
349#117×C61—24no—
350#117×C61—24no—
351#117×C61—24no—
352#117×C61—24no—
353#117×C61—24no—
354#117×C61D418yescomplemented
355C2×C4⋊C4×C61—24no—
356C2×C4⋊C4×C61—24no—
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61—24no—
366C2×C22⋊C4×C61—24no—
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C42×C61—24no—
376C2×C42×C61—24no—
377C2×C42×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379C2×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383C2×C42×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385C24×C61—22no—
386C24×C61—22no—
387C24×C61—22no—
388C24×C61—22no—
389C24×C61—22no—
390C24×C61—41no—
391C24×C61—41no—
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C22×C4×C61—232no—
398C22×C4×C61—22no—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—22no—
402C22×C4×C61—22no—
403C22×C4×C61—22no—
404C22×C4×C61—22no—
405C22×C4×C61—22no—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—22no—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—22no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—22no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61C2×D414yes—
426C22×C4×C61#4114yes—
427C22×C4×C61#4114yes—
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
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—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61#4114yes—
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C2×D244—22no—
473C2×D244—22no—
474C2×D244—41no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—22no—
493C4⋊C4×C61—22no—
494C4⋊C4×C61—22no—
495C4⋊C4×C61—22no—
496C4⋊C4×C61C2×D414yes—
497C4⋊C4×C61C2×D414yes—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61C2×D414yes—
505C22⋊C4×C61C2×D414yes—
506C42×C61—22no—
507C42×C61—22no—
508C42×C61—22no—
509C42×C61—22no—
510C42×C61—22no—
511C42×C61—22no—
512C42×C61C2×D414yes—
513C42×C61C2×D414yes—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—22no—
517C22⋊Dic61—22no—
518C22⋊Dic61—22no—
519C22⋊Dic61—22no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—22no—
525C22⋊Dic61—22no—
526C22⋊Dic61—22no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61—41no—
531C22⋊Dic61#4114yes—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198—22no—
539#11758198—22no—
540#11758198—22no—
541#11758198—22no—
542#11758198—22no—
543#11758198—22no—
544#11758198—22no—
545#11758198—22no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550C4⋊Dic61—22no—
551C4⋊Dic61—22no—
552C4⋊Dic61—22no—
553C4⋊Dic61—22no—
554C4⋊Dic61—41no—
555C4⋊Dic61—41no—
556#11758196—22no—
557#11758196—22no—
558#11758196—22no—
559#11758196—22no—
560#11758196—22no—
561#11758196—22no—
562#11758196—22no—
563#11758196—22no—
564#11758196—22no—
565#11758196—22no—
566#11758196—22no—
567#11758196—22no—
568#11758196—22no—
569#11758196—22no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574C4×Dic61—22no—
575C4×Dic61—22no—
576C4×Dic61—22no—
577C4×Dic61—22no—
578C4×Dic61—22no—
579C4×Dic61—22no—
580C4×Dic61—22no—
581C4×Dic61—22no—
582C4×Dic61—22no—
583C4×Dic61—22no—
584C4×Dic61—41no—
585C4×Dic61—41no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—28no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—44no—
604C23×C61—44no—
605C23×C61—44no—
606C23×C61—44no—
607C23×C61—44no—
608C23×C61—44no—
609C23×C61C22×D412yes—
610C23×C61C2×#4112yes—
611C23×C61C2×#4112yes—
612C23×C61C2×#4112yes—
613C23×C61C2×#4112yes—
614C23×C61C2511yescharacteristic
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61C2×#4112yes—
629C2×C4×C61—28no—
630C2×C4×C61—28no—
631C2×C4×C61—28no—
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—28no—
647C2×C4×C61—28no—
648C2×C4×C61—28no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—44no—
662C2×C4×C61—44no—
663C2×C4×C61—44no—
664C2×C4×C61—44no—
665C2×C4×C61C22×D412yes—
666C2×C4×C61C22×D412yes—
667C2×C4×C61C22×D412yes—
668C2×C4×C61C22×D412yes—
669C2×C4×C61C22×D412yes—
670C2×C4×C61C22×D412yes—
671C2×C4×C61C2×#4112yes—
672C2×C4×C61C2×#4112yes—
673C2×C4×C61C2×#4112yes—
674C2×C4×C61C2×#4112yes—
675C22⋊D61—28no—
676C22⋊D61—44no—
677C22⋊D61—44no—
678C22⋊D61—44no—
679C22⋊D61—44no—
680C22⋊D61—44no—
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—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61C2×#4112yes—
721C2×Dic61C2×#4112yes—
722C2×Dic61C2×#4112yes—
723D244—44no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—44no—
727C4×D61—44no—
728Dic122—44no—
729#34740—611nomaximal, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—22no—
741C22×C61—22no—
742C22×C61—416no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61#52914yescomplemented
752C22×C61C23×D411yescharacteristic
753C22×C61C22×#4111yescharacteristic
754C22×C61C22×#4111yescharacteristic
755C22×C61C22×#4111yescharacteristic
756C22×C61C22×#4111yescharacteristic
757C22×C61#58511yescharacteristic
758C22×C61#58511yescharacteristic
759C2×D61—22no—
760C2×D61—22no—
761C2×D61—22no—
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—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—22no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61#52514yes—
785Dic61—22no—
786Dic61—22no—
787Dic61—22no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799C2×#529—611no—
800C22×#117D6111yescharacteristic, complemented
801#2481—611no—
802#2480—611no—
803#2479—611no—
804#2478—611no—
805#2477—611no—
806#2476—611no—
807#2475—611no—
808#2474—611no—
809#2473—611no—
810#2472—611no—
811#2471—611no—
812#2470—611no—
813#2449—611no—
814#2443—611no—
815#2424—611no—
816#2418—611no—
817#2396—611no—
818#2395—611no—
819#2395—611no—
820#2392—611no—
821C4×C22⋊Q8—611no—
822C4×#121—611no—
823C4×#120—611no—
824C4×#120—611no—
825#2298—611no—
826#2293—611no—
827#2290—611no—
828#2290—611no—
829C42×D4—611no—
830C2×C61—24no—
831C2×C61—42no—
832C2×C61—42no—
833C2×C61C2×#52511yescharacteristic
834C2×C61C2×#52911yescharacteristic
835C2×C61#345511yescharacteristic
836C2×C61D4×#4111yescharacteristic
837C2×C61D4×#4111yescharacteristic
838C2×C61#347511yescharacteristic
839C2×C61#347511yescharacteristic
840D61—42no—
841D61—81no—
842C24×C4C2×D6111yescharacteristic
843#529—1228no—
844C2×#126—611no—
845C2×#126—611no—
846C2×#125—611no—
847C2×#124—611no—
848C2×#123—611no—
849C2×#123—611no—
850C2×C22⋊Q8—611no—
851C2×C22⋊Q8—611no—
852C2×#121—611no—
853C2×#121—611no—
854C2×#120—611no—
855C2×#120—611no—
856C2×C4×Q8—611no—
857C2×C4×D4—611no—
858C2×C4×D4—611no—
859C2×C4×D4—611no—
860C2×C4×D4—611no—
861C2×C4×D4—611no—
862C2×C4×D4—611no—
863C2×C4×D4—611no—
864C2×C4×D4—611no—
865C2×C4×D4—611no—
866C2×#117—28no—
867C2×#117—611no—
868C2×#117C2×D6111yescharacteristic
869C2×#117C2×D6111yescharacteristic
870C2×#117C2×D6111yescharacteristic
871C2×#117C2×D6111yescharacteristic
872C2×#117C2×D6111yescharacteristic
873C2×#117C2×D6111yescharacteristic
874C2×#117C2×D6111yescharacteristic
875C2×#117C2×D6111yescharacteristic
876C22×C4⋊C4C2×D6111yescharacteristic
877C22×C4⋊C4C2×D6111yescharacteristic
878C22×C22⋊C4C2×D6111yescharacteristic
879C22×C22⋊C4C2×D6111yescharacteristic
880C22×C42—611no—
881C22×C42C2×D6111yescharacteristic
882C22×C42C2×D6111yescharacteristic
883#400—611no—
884#400—611no—
885#400—611no—
886#399—611no—
887#399—611no—
888#399—611no—
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#398—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397—611no—
901#396—611no—
902#396—611no—
903#396—611no—
904#396—611no—
905#395—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394—611no—
912#394—611no—
913#393—611no—
914#392—611no—
915#391—611no—
916#390—611no—
917#390—611no—
918#390—611no—
919#389—611no—
920#389—611no—
921#389—611no—
922#389—611no—
923#388—611no—
924#388—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#388—611no—
936#388—611no—
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387—611no—
944#387—611no—
945#387—611no—
946#387—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#385—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#385—611no—
970#385—611no—
971#380—611no—
972#380—611no—
973#379—611no—
974#379—611no—
975C4×C4⋊C4—611no—
976C4×C4⋊C4—611no—
977C4×C4⋊C4—611no—
978C4×C4⋊C4—611no—
979C4×C4⋊C4—611no—
980C4×C4⋊C4—611no—
981C4×C4⋊C4—611no—
982C4×C4⋊C4—611no—
983C4×C22⋊C4—611no—
984C4×C22⋊C4—611no—
985C4×C22⋊C4—611no—
986C4×C22⋊C4—611no—
987C4×C22⋊C4—611no—
988C4×C22⋊C4—611no—
989C4×C22⋊C4—611no—
990C4×C22⋊C4—611no—
991C4×C22⋊C4—611no—
992C4×C22⋊C4—611no—
993C4×C22⋊C4—611no—
994C4×C22⋊C4—611no—
995C4×C22⋊C4—611no—
996C4×C22⋊C4—611no—
997#376—611no—
998C43—611no—
999C61#3474011yescharacteristic, complemented, Sylow
1000C25C22×D6111yescharacteristic
1001C22×Q8—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4—24no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4C22×D6111yescharacteristic
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
1026#126—1224no—
1027#126—1224no—
1028#125—1224no—
1029#124—1224no—
1030#123—1224no—
1031#123—1224no—
1032C22⋊Q8—1224no—
1033C22⋊Q8—1224no—
1034#121—1224no—
1035#121—1224no—
1036#120—1224no—
1037#120—1224no—
1038C4×Q8—1224no—
1039C4×D4—1224no—
1040C4×D4—1224no—
1041C4×D4—1224no—
1042C4×D4—1224no—
1043C4×D4—1224no—
1044C4×D4—1224no—
1045C4×D4—1224no—
1046C4×D4—1224no—
1047C4×D4—1224no—
1048#117—24no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—1224no—
1056#117C22⋊D6118yescomplemented
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
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⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4C22×D6111yescharacteristic
1084C2×C4⋊C4C22×D6111yescharacteristic
1085C2×C4⋊C4C22×D6111yescharacteristic
1086C2×C4⋊C4C22×D6111yescharacteristic
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—24no—
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⋊C4—611no—
1128C2×C22⋊C4—611no—
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×C22⋊C4C22×D6111yescharacteristic
1136C2×C22⋊C4C22×D6111yescharacteristic
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—611no—
1140C2×C42—611no—
1141C2×C42—611no—
1142C2×C42—611no—
1143C2×C42—611no—
1144C2×C42—611no—
1145C2×C42—611no—
1146C2×C42—611no—
1147C2×C42—611no—
1148C2×C42—611no—
1149C2×C42—611no—
1150C2×C42—611no—
1151C2×C42—1224no—
1152C2×C42C22×D6111yescharacteristic
1153C2×C42C22×D6111yescharacteristic
1154C2×C42C22×D6111yescharacteristic
1155C2×C42C22×D6111yescharacteristic
1156C2×C42C22×D6111yescharacteristic
1157C2×C42C22×D6111yescharacteristic
1158C2×C42C22×D6111yescharacteristic
1159C2×C42C22×D6111yescharacteristic
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—611no—
1204C24—611no—
1205C24C23×D6111yescharacteristic
1206C24C23×D6111yescharacteristic
1207C24C23×D6111yescharacteristic
1208C2×Q8—1222no—
1209C2×Q8—1222no—
1210C2×Q8—2441no—
1211C2×D4—614no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—1222no—
1223C2×D4—1222no—
1224C2×D4—1222no—
1225C2×D4—1222no—
1226C2×D4—1222no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C22×C4—232no—
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—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
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—611no—
1273C22×C4—611no—
1274C22×C4—1222no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—1222no—
1279C22×C4—1222no—
1280C22×C4—1222no—
1281C22×C4—1222no—
1282C22×C4—1222no—
1283C22×C4—1222no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4#1175822214yes—
1287C22×C4#1175822214yes—
1288C22×C4C2×C22⋊D6114yes—
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—1222no—
1308C4⋊C4—1222no—
1309C4⋊C4—1222no—
1310C4⋊C4—1222no—
1311C4⋊C4—1222no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—1222no—
1317C4⋊C4—1222no—
1318C4⋊C4—1222no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4C2×C22⋊D6114yes—
1332C4⋊C4C2×C22⋊D6114yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—614no—
1340C22⋊C4—1222no—
1341C22⋊C4—1222no—
1342C22⋊C4—1222no—
1343C22⋊C4—1222no—
1344C22⋊C4—1222no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—1222no—
1363C22⋊C4—1222no—
1364C22⋊C4—1222no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
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⋊C4C2×C22⋊D6114yes—
1376C22⋊C4C2×C22⋊D6114yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—1222no—
1384C42—1222no—
1385C42—1222no—
1386C42—1222no—
1387C42—1222no—
1388C42—1222no—
1389C42—1222no—
1390C42—1222no—
1391C42—1222no—
1392C42—1222no—
1393C42—2441no—
1394C42—2441no—
1395C42C2×C22⋊D6114yes—
1396C42C2×C22⋊D6114yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—612no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23—1221no—
1432C23—1221no—
1433C23—1221no—
1434C23C22×C22⋊D6112yes—
1435C23#41×D6112yes—
1436C23#41×D6112yes—
1437C23C2×#1175822212yes—
1438C23C2×#1175822212yes—
1439C23C24×D6111yescharacteristic
1440Q8—2444no—
1441D4—1228no—
1442D4—2444no—
1443D4—2444no—
1444D4—2444no—
1445D4—2444no—
1446D4—2444no—
1447D4—2444no—
1448C2×C4—28no—
1449C2×C4—28no—
1450C2×C4—28no—
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—28no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—612no—
1485C2×C4—612no—
1486C2×C4—612no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—2444no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4C22×C22⋊D6112yes—
1531C2×C4C22×C22⋊D6112yes—
1532C2×C4C22×C22⋊D6112yes—
1533C2×C4C22×C22⋊D6112yes—
1534C2×C4C22×C22⋊D6112yes—
1535C2×C4C22×C22⋊D6112yes—
1536C2×C4C2×#1175822212yes—
1537C2×C4C2×#1175822212yes—
1538C2×C4C2×#1175822212yes—
1539C2×C4C2×#1175822212yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—416no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—1222no—
1562C22—1222no—
1563C22—1222no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22#1684029014yescomplemented
1576C22C23×C22⋊D6111yescharacteristic
1577C22C2×#41×D6111yescharacteristic
1578C22C2×#41×D6111yescharacteristic
1579C22C22×#1175822211yescharacteristic
1580C22C22×#1175822211yescharacteristic
1581C22#1684059811yescharacteristic
1582C22#1684059811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—1222no—
1595C4—1222no—
1596C4—1222no—
1597C4—2441no—
1598C4—2441no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4#1684027314yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—4881no—
1613C2—2442no—
1614C2C2×#1684027311yescharacteristic
1615C2C2×#1684029011yescharacteristic
1616C2#2145920911yescharacteristic
1617C2#41×C22⋊D6111yescharacteristic
1618C2#41×C22⋊D6111yescharacteristic
1619C2#2145937311yescharacteristic
1620C2#2145937311yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC22×#117×C61C2
prime radical#21449355C2
hypercenterC22×#117D61
hypocenterC61#34740
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C2×#16840290C2semidirect
2. #21450074C2semidirect
3. #21450059C2semidirect
4. #21450044C2semidirect
5. #21450029C2semidirect
6. #21450014C2semidirect
7. #21449999C2semidirect
8. #21449984C2semidirect
9. #21449969C2semidirect
10. #21449954C2semidirect
11. #21449939C2semidirect
12. #21449924C2semidirect
13. #21449909C2semidirect
14. #21449628C2semidirect
15. #21449554C2semidirect
17. #21449281C2semidirect
18. #21449087C2semidirect
19. #21449076C2semidirect
20. #21449076C2semidirect
21. #21449055C2semidirect
22. C4×#14519756C2semidirect
23. C4×#14519751C2semidirect
24. C4×#14519746C2semidirect
25. C4×#14519746C2semidirect
26. #21448317C2semidirect
27. #21448278C2semidirect
28. #21448262C2semidirect
29. #21448256C2semidirect
30. C42×C22⋊D61C2semidirect
31. C22×#117×C61C2semidirect
33. C2×#14519772C22semidirect
35. C2×#14519767C22semidirect
37. C2×#14519762C22semidirect
40. C2×#14519755C22semidirect
45. C2×C4×Dic122C22semidirect
46. C2×C4×D244C22semidirect
55. C2×#14519734C22semidirect
56. C2×C42×D61C22semidirect
57. #16839701C22semidirect
58. #16839700C22semidirect
59. #16839700C22semidirect
61. #16839697C22semidirect
62. #16839697C22semidirect
63. #16839695C22semidirect
64. #16839695C22semidirect
65. #16839693C22semidirect
66. #16839693C22semidirect
67. #16839692C22semidirect
72. #16839688C22semidirect
73. #16839688C22semidirect
77. #16839684C22semidirect
78. #16839684C22semidirect
79. #16839682C22semidirect
80. #16839679C22semidirect
89. #16839668C22semidirect
90. #16839664C22semidirect
93. #16839660C22semidirect
94. #16839660C22semidirect
95. #16839657C22semidirect
96. #16839657C22semidirect
103. #16839653C22semidirect
104. #16839653C22semidirect
105. #16839653C22semidirect
106. #16839653C22semidirect
107. #16839652C22semidirect
108. #16839652C22semidirect
111. #16839648C22semidirect
112. #16839648C22semidirect
113. #16839648C22semidirect
114. #16839648C22semidirect
115. #16839646C22semidirect
116. #16839646C22semidirect
117. #16839646C22semidirect
118. #16839646C22semidirect
119. #16839643C22semidirect
120. #16839643C22semidirect
143. #16839633C22semidirect
144. #16839633C22semidirect
149. C4×#11758196C22semidirect
150. C4×#11758196C22semidirect
151. C4×#11758196C22semidirect
152. C4×#11758196C22semidirect
153. C4×#11758196C22semidirect
154. C4×#11758196C22semidirect
155. C4×C4⋊Dic61C22semidirect
156. C4×C4⋊Dic61C22semidirect
157. C4×#11758198C22semidirect
158. C4×#11758198C22semidirect
159. C4×#11758198C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
171. #16839608C22semidirect
172. C42×Dic61C22semidirect
354. #117×C61D4semidirect
751. C22×C61#529semidirect
800. C22×#117D61semidirect
999. C61#34740semidirect
1056. #117C22⋊D61semidirect
1575. C22#16840290semidirect

Maximal subgroups

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

subgroupindex
C2×#168402902
#214500742
#214500592
#214500442
#214500292
#214500142
#214499992
#214499842
#214499692
#214499542
#214499392
#214499242
#214499092
#214496282
#214495542
#214493552
#214492812
#214490872
#214490762
#214490552
C4×#145197562
C4×#145197512
C4×#145197462
#214483172
#214482782
#214482622
#214482562
C42×C22⋊D612
C22×#117×C612
#3474061