Finite Group Databasebeta

← #29850189

Subgroups — #29850189

Order 15616.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840296C211yesmaximal, characteristic, complemented
2C2×#16840273C211yesmaximal, characteristic, complemented
3#21450963C211yesmaximal, characteristic, complemented
4#21450948C211yesmaximal, characteristic, complemented
5#21450933C211yesmaximal, characteristic, complemented
6#21450918C211yesmaximal, characteristic, complemented
7#21450903C211yesmaximal, characteristic, complemented
8#21450888C211yesmaximal, characteristic, complemented
9#21450879C211yesmaximal, characteristic, complemented
10#21450864C211yesmaximal, characteristic, complemented
11#21450830C211yesmaximal, characteristic, complemented
12#21450779C211yesmaximal, characteristic, complemented
13#21450750C211yesmaximal, characteristic, complemented
14#21450709C211yesmaximal, characteristic, complemented
15#21450145C211yesmaximal, characteristic, complemented
16#21449939C211yesmaximal, characteristic, complemented
17#21449370C211yesmaximal, characteristic, complemented
18#21449355C211yesmaximal, characteristic, complemented
19#21449093C211yesmaximal, characteristic, complemented
20#21449080C211yesmaximal, characteristic, complemented
21#21449063C211yesmaximal, characteristic, complemented
22#21449035C211yesmaximal, characteristic, complemented
23C4×#14519763C211yesmaximal, characteristic, complemented
24C4×#14519760C211yesmaximal, characteristic, complemented
25C4×#14519751C211yesmaximal, characteristic, complemented
26C4×#14519750C211yesmaximal, characteristic, complemented
27C4×#14519746C211yesmaximal, characteristic, complemented
28#21448305C211yesmaximal, characteristic, complemented
29#21448282C211yesmaximal, characteristic, complemented
30C42×C22⋊D61C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C61C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33#16840296—28no—
34C2×#14519771C2211yescharacteristic, complemented
35C2×#14519771C2211yescharacteristic, complemented
36C2×#14519769C2211yescharacteristic, complemented
37C2×#14519765C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic
39#16840273—28no—
40C2×#14519760C2211yescharacteristic
41C2×#14519760C2211yescharacteristic
42C2×#14519760C2211yescharacteristic
43C2×#14519760C2211yescharacteristic
44C2×#14519760C2211yescharacteristic
45C2×#14519756C2211yescharacteristic
46C2×#14519756C2211yescharacteristic
47C2×#14519756C2211yescharacteristic
48C2×#14519751C2211yescharacteristic
49C2×#14519751C2211yescharacteristic
50C2×#14519751C2211yescharacteristic
51C2×#14519751C2211yescharacteristic
52C2×#14519750C2211yescharacteristic
53C2×#14519746C2211yescharacteristic
54C2×#14519746C2211yescharacteristic
55C2×#14519746C2211yescharacteristic
56C2×C4×Dic122C2211yescharacteristic, complemented
57C2×C4×D244C2211yescharacteristic, complemented
58C2×C4×D244C2211yescharacteristic, complemented
59C2×C4×C22⋊D61C2211yescharacteristic
60C2×C4×C22⋊D61C2211yescharacteristic
61C2×C4×C22⋊D61C2211yescharacteristic
62C2×C4×C22⋊D61C2211yescharacteristic
63C2×C4×C22⋊D61C2211yescharacteristic
64C2×C4×C22⋊D61C2211yescharacteristic
65C2×C4×C22⋊D61C2211yescharacteristic
66C2×C4×C22⋊D61C2211yescharacteristic
67C2×C4×C22⋊D61C2211yescharacteristic
68C2×#14519736C2211yescharacteristic
69C2×#14519734C2211yescharacteristic, complemented
70C2×#14519734C2211yescharacteristic, complemented
71C2×C42×D61C2211yescharacteristic, complemented
72#16839704C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839698C2211yescharacteristic
75#16839698C2211yescharacteristic
76#16839696C2211yescharacteristic, complemented
77#16839696C2211yescharacteristic, complemented
78#16839696C2211yescharacteristic, complemented
79#16839694C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic
83#16839689C2211yescharacteristic, complemented
84#16839686C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic
86#16839685C2211yescharacteristic
87#16839685C2211yescharacteristic
88#16839683C2211yescharacteristic, complemented
89#16839683C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic
97#16839677C2211yescharacteristic
98#16839675C2211yescharacteristic, complemented
99#16839674C2211yescharacteristic
100#16839672C2211yescharacteristic, complemented
101#16839671C2211yescharacteristic
102#16839671C2211yescharacteristic
103#16839671C2211yescharacteristic
104#16839666C2211yescharacteristic, complemented
105#16839666C2211yescharacteristic, complemented
106#16839666C2211yescharacteristic, complemented
107#16839664C2211yescharacteristic, complemented
108#16839662C2211yescharacteristic
109#16839662C2211yescharacteristic
110#16839662C2211yescharacteristic
111#16839662C2211yescharacteristic
112#16839662C2211yescharacteristic
113#16839662C2211yescharacteristic
114#16839660C2211yescharacteristic, complemented
115#16839659C2211yescharacteristic, complemented
116#16839659C2211yescharacteristic, complemented
117#16839659C2211yescharacteristic, complemented
118#16839655C2211yescharacteristic
119#16839655C2211yescharacteristic
120#16839654C2211yescharacteristic, complemented
121#16839654C2211yescharacteristic, complemented
122#16839654C2211yescharacteristic, complemented
123#16839653C2211yescharacteristic, complemented
124#16839653C2211yescharacteristic, complemented
125#16839653C2211yescharacteristic, complemented
126#16839653C2211yescharacteristic, complemented
127#16839651C2211yescharacteristic, complemented
128#16839651C2211yescharacteristic, complemented
129#16839650C2211yescharacteristic
130#16839650C2211yescharacteristic
131#16839650C2211yescharacteristic
132#16839646C2211yescharacteristic, complemented
133#16839646C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic
139#16839641C2211yescharacteristic
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839635C2211yescharacteristic
147#16839635C2211yescharacteristic
148#16839635C2211yescharacteristic
149#16839635C2211yescharacteristic
150#16839626C2211yescharacteristic, complemented
151#16839625C2211yescharacteristic
152#16839622C2211yescharacteristic
153#16839621C2211yescharacteristic, complemented
154#16839618C2211yescharacteristic
155C4×#11758196C2211yescharacteristic, complemented
156C4×#11758196C2211yescharacteristic, complemented
157C4×#11758196C2211yescharacteristic, complemented
158C4×#11758196C2211yescharacteristic, complemented
159C4×#11758196C2211yescharacteristic, complemented
160C4×C4⋊Dic61C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×#11758198C2211yescharacteristic, complemented
164C4×#11758198C2211yescharacteristic, complemented
165C4×#11758198C2211yescharacteristic, complemented
166C4×#11758198C2211yescharacteristic, complemented
167C4×#11758198C2211yescharacteristic, complemented
168C4×C22⋊Dic61C2211yescharacteristic
169C4×C22⋊Dic61C2211yescharacteristic
170C4×C22⋊Dic61C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic
172C4×C22⋊Dic61C2211yescharacteristic
173C42×Dic61C2211yescharacteristic, complemented
174C24×C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C22×C22⋊C4×C61C2211yescharacteristic
177C22×C42×C61C2211yescharacteristic
178C22×C42×C61C2211yescharacteristic
179C4×C22⋊C4×C61C2211yescharacteristic
180C4×C22⋊C4×C61C2211yescharacteristic
181C4×C22⋊C4×C61C2211yescharacteristic
182C4×C22⋊C4×C61C2211yescharacteristic
183C4×C22⋊C4×C61C2211yescharacteristic
184C4×C22⋊C4×C61C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C2×#95×C61C2211yescharacteristic
188C2×#95×C61C2211yescharacteristic
189C2×#11758222—24no—
190C2×#11758222—24no—
191C2×#11758222—42no—
192C22×Dic122C2311yescharacteristic
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519771—24no—
212#14519771—24no—
213#14519769—24no—
214#14519765—24no—
215#14519763—24no—
216#14519760—24no—
217#14519760—24no—
218#14519760—24no—
219#14519760—24no—
220#14519760—24no—
221#14519756—24no—
222#14519756—24no—
223#14519756—24no—
224#14519751—24no—
225#14519751—24no—
226#14519751—24no—
227#14519751—24no—
228#14519750—24no—
229#14519746—24no—
230#14519746—24no—
231#14519746—24no—
232C4×Dic122—24no—
233C4×D244—24no—
234C4×D244—42no—
235C4×C22⋊D61—24no—
236C4×C22⋊D61—24no—
237C4×C22⋊D61—24no—
238C4×C22⋊D61—24no—
239C4×C22⋊D61—24no—
240C4×C22⋊D61—24no—
241C4×C22⋊D61—24no—
242C4×C22⋊D61—42no—
243C4×C22⋊D61D418yescomplemented
244#14519736—24no—
245#14519734—24no—
246#14519734—24no—
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C42×D61—42no—
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349C25×C61C2311yescharacteristic
350C23×C4×C61—24no—
351C23×C4×C61—24no—
352C23×C4×C61—42no—
353C23×C4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359C23×C4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361C23×C4×C61C2311yescharacteristic
362C23×C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61—24no—
364C2×C22⋊C4×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
373C2×C42×C61—24no—
374C2×C42×C61—42no—
375C2×C42×C61C2311yescharacteristic
376C2×C42×C61C2311yescharacteristic
377C2×C42×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379C2×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61—22no—
392C24×C61—22no—
393C24×C61—22no—
394C24×C61—22no—
395C24×C61—22no—
396C24×C61—41no—
397C24×C61—41no—
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
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—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—41no—
431C22×C4×C61—416no—
432C22×C4×C61C2×D414yes—
433C22×C4×C61#4114yes—
434C22×C4×C61#4114yescomplemented
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
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—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
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⋊D61C2×D414yes—
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487#11758222—416no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61C2×D414yes—
512C2×Dic122—22no—
513C2×Dic122—22no—
514C2×Dic122—22no—
515C2×Dic122—22no—
516C2×Dic122—41no—
517C2×Dic122—41no—
518C22⋊C4×C61—22no—
519C22⋊C4×C61—22no—
520C22⋊C4×C61—22no—
521C22⋊C4×C61—22no—
522C22⋊C4×C61—22no—
523C22⋊C4×C61—22no—
524C22⋊C4×C61—22no—
525C22⋊C4×C61#4114yescomplemented
526C42×C61—22no—
527C42×C61—22no—
528C42×C61—22no—
529C42×C61—22no—
530C42×C61—22no—
531C42×C61—22no—
532C42×C61—41no—
533C42×C61—41no—
534C22⋊Dic61—22no—
535C22⋊Dic61—22no—
536C22⋊Dic61—22no—
537C22⋊Dic61—22no—
538C22⋊Dic61—22no—
539C22⋊Dic61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547C22⋊Dic61C2×D414yes—
548C22⋊Dic61#4114yescomplemented
549#11758198—22no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198C2×D414yes—
574C4⋊Dic61—22no—
575C4⋊Dic61—22no—
576C4⋊Dic61—22no—
577C4⋊Dic61—22no—
578C4⋊Dic61—22no—
579C4⋊Dic61—41no—
580C4⋊Dic61—41no—
581#11758196—22no—
582#11758196—22no—
583#11758196—22no—
584#11758196—22no—
585#11758196—22no—
586#11758196—22no—
587#11758196—22no—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—22no—
596#11758196—22no—
597#11758196—41no—
598#11758196—41no—
599#11758196C2×D414yes—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—41no—
608C4×Dic61—41no—
609C4×Dic61—41no—
610C4×Dic61C2×D414yes—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—28no—
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—44no—
629C23×C61—44no—
630C23×C61—44no—
631C23×C61—44no—
632C23×C61—44no—
633C23×C61—44no—
634C23×C61C22×D412yes—
635C23×C61C2×#4112yes—
636C23×C61C2×#4112yes—
637C23×C61C2×#4112yes—
638C23×C61C2×#4112yes—
639C23×C61C2511yescharacteristic
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61C22×D412yes—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—28no—
674C2×C4×C61—28no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—44no—
691C2×C4×C61—44no—
692C2×C4×C61—44no—
693C2×C4×C61—44no—
694C2×C4×C61—44no—
695C2×C4×C61—44no—
696C2×C4×C61—44no—
697C2×C4×C61—44no—
698C2×C4×C61C22×D412yes—
699C2×C4×C61C22×D412yes—
700C2×C4×C61C2×#4112yes—
701C2×C4×C61C2×#4112yes—
702C2×C4×C61C2×#4112yes—
703C2×C4×C61C2×#4112yes—
704C2×C4×C61C2×#4112yes—
705C2×C4×C61C2×#4112yes—
706C2×C4×C61H(5,𝔽2)12yes—
707C22⋊D61—28no—
708C22⋊D61—44no—
709C22⋊D61—44no—
710C22⋊D61—44no—
711C22⋊D61—44no—
712C22⋊D61—44no—
713C22⋊D61—44no—
714C22⋊D61—44no—
715C22⋊D61—44no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—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×Dic61C22×D412yes—
751C2×Dic61C22×D412yes—
752C2×Dic61C22×D412yes—
753C2×Dic61C2×#4112yes—
754C2×Dic61C2×#4112yes—
755D244—44no—
756D244—44no—
757D244—44no—
758C4×D61—28no—
759C4×D61—44no—
760C4×D61—44no—
761C4×D61—44no—
762C4×D61—44no—
763Dic122—44no—
764Dic122—44no—
765#34829—611nomaximal, Sylow
766C22×C61—22no—
767C22×C61—22no—
768C22×C61—22no—
769C22×C61—22no—
770C22×C61—22no—
771C22×C61—22no—
772C22×C61—22no—
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—22no—
776C22×C61—22no—
777C22×C61—22no—
778C22×C61—416no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61#53214yes—
788C22×C61C23×D411yescharacteristic
789C22×C61C22×#4111yescharacteristic
790C22×C61C22×#4111yescharacteristic
791C22×C61C22×#4111yescharacteristic
792C22×C61C22×#4111yescharacteristic
793C22×C61C2×H(5,𝔽2)11yescharacteristic
794C22×C61#58511yescharacteristic
795C2×D61—22no—
796C2×D61—22no—
797C2×D61—22no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C4×C61—22no—
817C4×C61—22no—
818C4×C61—22no—
819C4×C61—22no—
820C4×C61—22no—
821C4×C61—22no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61#54614yes—
828Dic61—22no—
829Dic61—22no—
830Dic61—22no—
831Dic61—22no—
832Dic61—22no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841C2×#529—611no—
842C2×#525—611no—
843#2560—611no—
844#2559—611no—
845#2558—611no—
846#2557—611no—
847#2556—611no—
848#2555—611no—
849#2554—611no—
850#2553—611no—
851#2549—611no—
852#2543—611no—
853#2539—611no—
854#2534—611no—
855#2488—611no—
856#2472—611no—
857#2425—611no—
858#2424—611no—
859#2396—611no—
860#2395—611no—
861#2392—611no—
862#2388—611no—
863C4×#124—611no—
864C4×#123—611no—
865C4×#121—611no—
866C4×#121—611no—
867C4×#120—611no—
868#2297—611no—
869#2293—611no—
870C42×D4—611no—
871C2×C4×C22⋊C4D6111yescharacteristic, complemented
872C2×C61—24no—
873C2×C61—42no—
874C2×C61—42no—
875C2×C61C2×#53211yescharacteristic
876C2×C61#344411yescharacteristic
877C2×C61#345911yescharacteristic
878C2×C61C2×#54611yescharacteristic
879C2×C61D4×#4111yescharacteristic
880C2×C61#347511yescharacteristic
881C2×C61#348111yescharacteristic
882D61—42no—
883D61—81no—
884D61—81no—
885C22×#41—611no—
886C24×C4C2×D6111yescharacteristic
887#529—1228no—
888C2×#126—611no—
889C2×#126—611no—
890C2×#125—611no—
891C2×#124—611no—
892C2×#124—611no—
893#525—1228no—
894C2×#123—611no—
895C2×#123—611no—
896C2×#123—611no—
897C2×#123—611no—
898C2×#123—611no—
899C2×C22⋊Q8—611no—
900C2×C22⋊Q8—611no—
901C2×C22⋊Q8—611no—
902C2×#121—611no—
903C2×#121—611no—
904C2×#121—611no—
905C2×#121—611no—
906C2×#121—611no—
907C2×#120—611no—
908C2×#120—611no—
909C2×#120—611no—
910C2×C4×Q8—611no—
911C2×C4×D4—611no—
912C2×C4×D4—611no—
913C2×C4×D4—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×C4×D4—611no—
921C2×C4×D4—611no—
922C2×#117—611no—
923C2×#117—611no—
924C2×#117—611no—
925C22×C22⋊C4C2×D6111yescharacteristic
926C22×C22⋊C4C2×D6111yescharacteristic
927C22×C42—611no—
928C22×C42C2×D6111yescharacteristic
929C22×C42C2×D6111yescharacteristic
930#400—611no—
931#400—611no—
932#399—611no—
933#399—611no—
934#398—611no—
935#398—611no—
936#398—611no—
937#398—611no—
938#397—611no—
939#397—611no—
940#397—611no—
941#397—611no—
942#396—611no—
943#396—611no—
944#396—611no—
945#396—611no—
946#395—611no—
947#395—611no—
948#394—611no—
949#394—611no—
950#394—611no—
951#394—611no—
952#394—611no—
953#394—611no—
954#394—611no—
955#394—611no—
956#393—611no—
957#393—611no—
958#392—611no—
959#392—611no—
960#392—611no—
961#392—611no—
962#391—611no—
963#391—611no—
964#391—611no—
965#390—611no—
966#390—611no—
967#390—611no—
968#390—611no—
969#390—611no—
970#390—611no—
971#390—611no—
972#389—611no—
973#389—611no—
974#389—611no—
975#389—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#388—611no—
981#388—611no—
982#388—611no—
983#388—611no—
984#388—611no—
985#388—611no—
986#388—611no—
987#388—611no—
988#388—611no—
989#388—611no—
990#387—611no—
991#387—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#382—611no—
1009#381—611no—
1010#380—611no—
1011#380—611no—
1012#379—611no—
1013C4×C4⋊C4—611no—
1014C4×C4⋊C4—611no—
1015C4×C4⋊C4—611no—
1016C4×C4⋊C4—611no—
1017C4×C4⋊C4—611no—
1018C4×C4⋊C4—611no—
1019C4×C22⋊C4—611no—
1020C4×C22⋊C4—611no—
1021C4×C22⋊C4—611no—
1022C4×C22⋊C4—611no—
1023C4×C22⋊C4—611no—
1024C4×C22⋊C4—611no—
1025C4×C22⋊C4—611no—
1026C4×C22⋊C4—611no—
1027C4×C22⋊C4—611no—
1028C4×C22⋊C4—611no—
1029C4×C22⋊C4—611no—
1030C4×C22⋊C4—611no—
1031C4×C22⋊C4C2×D6111yescharacteristic
1032C4×C22⋊C4C2×D6111yescharacteristic
1033C4×C22⋊C4C2×D6111yescharacteristic
1034C4×C22⋊C4C2×D6111yescharacteristic
1035C4×C22⋊C4C2×D6111yescharacteristic
1036C4×C22⋊C4C2×D6111yescharacteristic
1037C4×C22⋊C4C2×D6111yescharacteristic
1038C4×C22⋊C4C2×D6111yescharacteristic
1039C2×#95C2×D6111yescharacteristic
1040C2×#95C2×D6111yescharacteristic
1041C43—611no—
1042C61#3482911yescharacteristic, complemented, Sylow
1043C25C22×D6111yescharacteristic
1044C2×#41—1224no—
1045C2×#41—1224no—
1046C2×#41—2442no—
1047C22×Q8—611no—
1048C22×Q8—611no—
1049C22×D4—611no—
1050C22×D4—611no—
1051C22×D4—611no—
1052C22×D4—611no—
1053C22×D4—611no—
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C23×C4—24no—
1062C23×C4—24no—
1063C23×C4—42no—
1064C23×C4—611no—
1065C23×C4—611no—
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4C22×D6111yescharacteristic
1070C23×C4C22×D6111yescharacteristic
1071C23×C4C22×D6111yescharacteristic
1072C23×C4C22×D6111yescharacteristic
1073C23×C4C22×D6111yescharacteristic
1074C23×C4C22×D6111yescharacteristic
1075C23×C4C22×D6111yescharacteristic
1076C23×C4C22×D6111yescharacteristic
1077C23×C4C22×D6111yescharacteristic
1078C23×C4C22×D6111yescharacteristic
1079#126—1224no—
1080#126—1224no—
1081#125—1224no—
1082#124—1224no—
1083#124—1224no—
1084#123—1224no—
1085#123—1224no—
1086#123—1224no—
1087#123—1224no—
1088#123—1224no—
1089C22⋊Q8—1224no—
1090C22⋊Q8—1224no—
1091C22⋊Q8—1224no—
1092#121—1224no—
1093#121—1224no—
1094#121—1224no—
1095#121—1224no—
1096#121—1224no—
1097#120—1224no—
1098#120—1224no—
1099#120—1224no—
1100C4×Q8—1224no—
1101C4×D4—618no—
1102C4×D4—1224no—
1103C4×D4—1224no—
1104C4×D4—1224no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—2442no—
1111C4×D4—2442no—
1112#117—1224no—
1113#117—1224no—
1114#117—1224no—
1115C2×C4⋊C4—611no—
1116C2×C4⋊C4—611no—
1117C2×C4⋊C4—611no—
1118C2×C4⋊C4—611no—
1119C2×C4⋊C4—611no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4—611no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—24no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1184C2×C22⋊C4C22×D6111yescharacteristic
1185C2×C22⋊C4C22×D6111yescharacteristic
1186C2×C22⋊C4C22×D6111yescharacteristic
1187C2×C22⋊C4C22×D6111yescharacteristic
1188C2×C22⋊C4C22×D6111yescharacteristic
1189C2×C22⋊C4C22×D6111yescharacteristic
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C42—24no—
1192C2×C42—42no—
1193C2×C42—611no—
1194C2×C42—611no—
1195C2×C42—611no—
1196C2×C42—611no—
1197C2×C42—611no—
1198C2×C42—611no—
1199C2×C42—611no—
1200C2×C42—611no—
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—2442no—
1205C2×C42C22×D6111yescharacteristic
1206C2×C42C22×D6111yescharacteristic
1207C2×C42C22×D6111yescharacteristic
1208C2×C42C22×D6111yescharacteristic
1209C2×C42C22×D6111yescharacteristic
1210C2×C42C22×D6111yescharacteristic
1211C2×C42C22×D6111yescharacteristic
1212C2×C42C22×D6111yescharacteristic
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95—611no—
1217#95—611no—
1218#95—611no—
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
1223#95—611no—
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#95C22×D6111yescharacteristic
1238#95C22×D6111yescharacteristic
1239#95C22×D6111yescharacteristic
1240#95C22×D6111yescharacteristic
1241#95C22×D6111yescharacteristic
1242#95C22×D6111yescharacteristic
1243#95C22×D6111yescharacteristic
1244#95C22×D6111yescharacteristic
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—41no—
1251C24—41no—
1252C24—611no—
1253C24—611no—
1254C24—611no—
1255C24C23×D6111yescharacteristic
1256C24C23×D6111yescharacteristic
1257C24C23×D6111yescharacteristic
1258#41—24416no—
1259C2×Q8—1222no—
1260C2×Q8—1222no—
1261C2×Q8—1222no—
1262C2×Q8—1222no—
1263C2×Q8—2441no—
1264C2×Q8—2441no—
1265C2×D4—614no—
1266C2×D4—1222no—
1267C2×D4—1222no—
1268C2×D4—1222no—
1269C2×D4—1222no—
1270C2×D4—1222no—
1271C2×D4—1222no—
1272C2×D4—1222no—
1273C2×D4—1222no—
1274C2×D4—1222no—
1275C2×D4—1222no—
1276C2×D4—1222no—
1277C2×D4—1222no—
1278C2×D4—1222no—
1279C2×D4—1222no—
1280C2×D4—1222no—
1281C2×D4—1222no—
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—1222no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—2441no—
1292C2×D4—2441no—
1293C2×D4—2441no—
1294C2×D4—2441no—
1295C2×D4—2441no—
1296C2×D4—2441no—
1297C2×D4—2441no—
1298C2×D4—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—416no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—614no—
1335C22×C4—611no—
1336C22×C4—611no—
1337C22×C4—611no—
1338C22×C4—611no—
1339C22×C4—611no—
1340C22×C4—611no—
1341C22×C4—611no—
1342C22×C4—611no—
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—2441no—
1355C22×C4—2441no—
1356C22×C4—2441no—
1357C22×C4#1175822214yes—
1358C22×C4#1175822214yescomplemented
1359C22×C4D4×D6114yes—
1360C22×C4C23×D6111yescharacteristic
1361C22×C4C23×D6111yescharacteristic
1362C22×C4C23×D6111yescharacteristic
1363C22×C4C23×D6111yescharacteristic
1364C22×C4C23×D6111yescharacteristic
1365C22×C4C23×D6111yescharacteristic
1366C22×C4C23×D6111yescharacteristic
1367C22×C4C23×D6111yescharacteristic
1368C22×C4C23×D6111yescharacteristic
1369C22×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372C4⋊C4—614no—
1373C4⋊C4—1222no—
1374C4⋊C4—1222no—
1375C4⋊C4—1222no—
1376C4⋊C4—1222no—
1377C4⋊C4—1222no—
1378C4⋊C4—1222no—
1379C4⋊C4—1222no—
1380C4⋊C4—1222no—
1381C4⋊C4—1222no—
1382C4⋊C4—1222no—
1383C4⋊C4—1222no—
1384C4⋊C4—1222no—
1385C4⋊C4—1222no—
1386C4⋊C4—1222no—
1387C4⋊C4—1222no—
1388C4⋊C4—1222no—
1389C4⋊C4—1222no—
1390C4⋊C4—1222no—
1391C4⋊C4—1222no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—2441no—
1395C4⋊C4—2441no—
1396C4⋊C4—2441no—
1397C4⋊C4—2441no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—614no—
1406C22⋊C4—614no—
1407C22⋊C4—614no—
1408C22⋊C4—1222no—
1409C22⋊C4—1222no—
1410C22⋊C4—1222no—
1411C22⋊C4—1222no—
1412C22⋊C4—1222no—
1413C22⋊C4—1222no—
1414C22⋊C4—1222no—
1415C22⋊C4—1222no—
1416C22⋊C4—1222no—
1417C22⋊C4—1222no—
1418C22⋊C4—1222no—
1419C22⋊C4—1222no—
1420C22⋊C4—1222no—
1421C22⋊C4—1222no—
1422C22⋊C4—1222no—
1423C22⋊C4—1222no—
1424C22⋊C4—1222no—
1425C22⋊C4—1222no—
1426C22⋊C4—1222no—
1427C22⋊C4—1222no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—2441no—
1440C22⋊C4—2441no—
1441C22⋊C4—2441no—
1442C22⋊C4—2441no—
1443C22⋊C4—2441no—
1444C22⋊C4—2441no—
1445C22⋊C4#1175822214yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—41no—
1453C42—41no—
1454C42—614no—
1455C42—1222no—
1456C42—1222no—
1457C42—1222no—
1458C42—1222no—
1459C42—1222no—
1460C42—1222no—
1461C42—1222no—
1462C42—2441no—
1463C42—2441no—
1464C42—2441no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—612no—
1489C23—1221no—
1490C23—1221no—
1491C23—1221no—
1492C23—1221no—
1493C23—1221no—
1494C23—1221no—
1495C23—1221no—
1496C23—1221no—
1497C23—1221no—
1498C23—1221no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23C2×D4×D6112yes—
1510C23#41×D6112yes—
1511C23C2×#1175822212yes—
1512C23C2×#1175822212yes—
1513C23C2×#1175822212yes—
1514C23C24×D6111yescharacteristic
1515Q8—2444no—
1516Q8—2444no—
1517D4—1228no—
1518D4—2444no—
1519D4—2444no—
1520D4—2444no—
1521D4—2444no—
1522D4—2444no—
1523D4—2444no—
1524D4—2444no—
1525D4—2444no—
1526D4—2444no—
1527D4—2444no—
1528D4—2444no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—612no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—612no—
1570C2×C4—612no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1228no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—2444no—
1607C2×C4—2444no—
1608C2×C4—2444no—
1609C2×C4—2444no—
1610C2×C4C2×D4×D6112yes—
1611C2×C4C2×D4×D6112yes—
1612C2×C4C2×#1175822212yes—
1613C2×C4C2×#1175822212yes—
1614C2×C4C2×#1175822212yes—
1615C2×C4C2×#1175822212yes—
1616C2×C4C2×#1175822212yes—
1617C2×C4C2×#1175822212yes—
1618C2×C4#1451982212yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—1222no—
1641C22—1222no—
1642C22—1222no—
1643C22—2441no—
1644C22—2441no—
1645C22—2441no—
1646C22—2441no—
1647C22—2441no—
1648C22—2441no—
1649C22—2441no—
1650C22—2441no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22—2441no—
1660C22—2441no—
1661C22#1684030914yes—
1662C22C22×D4×D6111yescharacteristic
1663C22C2×#41×D6111yescharacteristic
1664C22C22×#1175822211yescharacteristic
1665C22C22×#1175822211yescharacteristic
1666C22C22×#1175822211yescharacteristic
1667C22C2×#1451982211yescharacteristic
1668C22#1684059811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—1222no—
1681C4—1222no—
1682C4—1222no—
1683C4—1222no—
1684C4—1222no—
1685C4—2441no—
1686C4—2441no—
1687C4—2441no—
1688C4—2441no—
1689C4—2441no—
1690C4—2441no—
1691C4—2441no—
1692C4—2441no—
1693C4#1684040214yes—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—4881no—
1698C2—4881no—
1699C2—2442no—
1700C2C2×#1684030911yescharacteristic
1701C2#2145911511yescharacteristic
1702C2#2145922811yescharacteristic
1703C2C2×#1684040211yescharacteristic
1704C2D4×#1175822211yescharacteristic
1705C2#2145937311yescharacteristic
1706C2#2145942311yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC2×C4×C22⋊C4×C61C2
hypercenterC2×C4×C22⋊C4D61
hypocenterC61#34829
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16840296C2semidirect
2. C2×#16840273C2semidirect
3. #21450963C2semidirect
4. #21450948C2semidirect
5. #21450933C2semidirect
6. #21450918C2semidirect
7. #21450903C2semidirect
8. #21450888C2semidirect
9. #21450879C2semidirect
10. #21450864C2semidirect
11. #21450830C2semidirect
12. #21450779C2semidirect
13. #21450750C2semidirect
14. #21450709C2semidirect
15. #21450145C2semidirect
16. #21449939C2semidirect
17. #21449370C2semidirect
18. #21449355C2semidirect
19. #21449093C2semidirect
20. #21449080C2semidirect
21. #21449063C2semidirect
22. #21449035C2semidirect
23. C4×#14519763C2semidirect
24. C4×#14519760C2semidirect
25. C4×#14519751C2semidirect
26. C4×#14519750C2semidirect
27. C4×#14519746C2semidirect
28. #21448305C2semidirect
29. #21448282C2semidirect
30. C42×C22⋊D61C2semidirect
31. C2×C4×C22⋊C4×C61C2semidirect
34. C2×#14519771C22semidirect
35. C2×#14519771C22semidirect
36. C2×#14519769C22semidirect
37. C2×#14519765C22semidirect
56. C2×C4×Dic122C22semidirect
57. C2×C4×D244C22semidirect
58. C2×C4×D244C22semidirect
69. C2×#14519734C22semidirect
70. C2×#14519734C22semidirect
71. C2×C42×D61C22semidirect
72. #16839704C22semidirect
73. #16839703C22semidirect
76. #16839696C22semidirect
77. #16839696C22semidirect
78. #16839696C22semidirect
79. #16839694C22semidirect
80. #16839691C22semidirect
81. #16839691C22semidirect
83. #16839689C22semidirect
84. #16839686C22semidirect
88. #16839683C22semidirect
89. #16839683C22semidirect
90. #16839680C22semidirect
91. #16839680C22semidirect
98. #16839675C22semidirect
100. #16839672C22semidirect
104. #16839666C22semidirect
105. #16839666C22semidirect
106. #16839666C22semidirect
107. #16839664C22semidirect
114. #16839660C22semidirect
115. #16839659C22semidirect
116. #16839659C22semidirect
117. #16839659C22semidirect
120. #16839654C22semidirect
121. #16839654C22semidirect
122. #16839654C22semidirect
123. #16839653C22semidirect
124. #16839653C22semidirect
125. #16839653C22semidirect
126. #16839653C22semidirect
127. #16839651C22semidirect
128. #16839651C22semidirect
132. #16839646C22semidirect
133. #16839646C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
150. #16839626C22semidirect
153. #16839621C22semidirect
155. C4×#11758196C22semidirect
156. C4×#11758196C22semidirect
157. C4×#11758196C22semidirect
158. C4×#11758196C22semidirect
159. C4×#11758196C22semidirect
160. C4×C4⋊Dic61C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. C4×#11758198C22semidirect
164. C4×#11758198C22semidirect
165. C4×#11758198C22semidirect
166. C4×#11758198C22semidirect
167. C4×#11758198C22semidirect
173. C42×Dic61C22semidirect
243. C4×C22⋊D61D4semidirect
434. C22×C4×C61#41semidirect
525. C22⋊C4×C61#41semidirect
548. C22⋊Dic61#41semidirect
871. C2×C4×C22⋊C4D61semidirect
1042. C61#34829semidirect
1358. C22×C4#11758222semidirect
1445. C22⋊C4#11758222semidirect

Maximal subgroups

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

subgroupindex
C2×#168402962
C2×#168402732
#214509632
#214509482
#214509332
#214509182
#214509032
#214508882
#214508792
#214508642
#214508302
#214507792
#214507502
#214507092
#214501452
#214499392
#214493702
#214493552
#214490932
#214490802
#214490632
#214490352
C4×#145197632
C4×#145197602
C4×#145197512
C4×#145197502
C4×#145197462
#214483052
#214482822
C42×C22⋊D612
C2×C4×C22⋊C4×C612
#3482961