Finite Group Databasebeta

← #29850182

Subgroups — #29850182

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×#16840289C211yesmaximal, characteristic, complemented
2C2×#16840268C211yesmaximal, characteristic, complemented
3#21450960C211yesmaximal, characteristic, complemented
4#21450945C211yesmaximal, characteristic, complemented
5#21450930C211yesmaximal, characteristic, complemented
6#21450915C211yesmaximal, characteristic, complemented
7#21450896C211yesmaximal, characteristic, complemented
8#21450887C211yesmaximal, characteristic, complemented
9#21450872C211yesmaximal, characteristic, complemented
10#21450857C211yesmaximal, characteristic, complemented
11#21450831C211yesmaximal, characteristic, complemented
12#21450775C211yesmaximal, characteristic, complemented
13#21450750C211yesmaximal, characteristic, complemented
14#21450141C211yesmaximal, characteristic, complemented
15#21449942C211yesmaximal, characteristic, complemented
16#21449374C211yesmaximal, characteristic, complemented
17#21449359C211yesmaximal, characteristic, complemented
18#21449094C211yesmaximal, characteristic, complemented
19#21449075C211yesmaximal, characteristic, complemented
20#21449064C211yesmaximal, characteristic, complemented
21#21449033C211yesmaximal, characteristic, complemented
22#21448360C211yesmaximal, characteristic, complemented
23#21448336C211yesmaximal, characteristic, complemented
24#21448329C211yesmaximal, characteristic, complemented
25#21448325C211yesmaximal, characteristic, complemented
26#21448318C211yesmaximal, characteristic, complemented
27#21448304C211yesmaximal, characteristic, complemented
28#21448279C211yesmaximal, characteristic, complemented
29C4×D4×Dic61C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2534C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34#16840289—28no—
35C2×#14519772C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519767C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic
39C2×#14519763C2211yescharacteristic, complemented
40#16840268—28no—
41C2×#14519761C2211yescharacteristic
42C2×#14519760C2211yescharacteristic
43C2×#14519760C2211yescharacteristic
44C2×#14519758C2211yescharacteristic
45C2×#14519754C2211yescharacteristic
46C2×#14519754C2211yescharacteristic
47C2×#14519754C2211yescharacteristic
48C2×#14519751C2211yescharacteristic
49C2×#14519749C2211yescharacteristic
50C2×#14519749C2211yescharacteristic
51C2×#14519749C2211yescharacteristic
52C2×#14519749C2211yescharacteristic
53C2×#14519746C2211yescharacteristic
54C2×#14519746C2211yescharacteristic
55C2×#14519742C2211yescharacteristic, complemented
56C2×D4×Dic61C2211yescharacteristic
57C2×D4×Dic61C2211yescharacteristic
58C2×D4×Dic61C2211yescharacteristic
59C2×#14519739C2211yescharacteristic, complemented
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic
62C2×#14519737C2211yescharacteristic
63C2×#14519737C2211yescharacteristic
64C2×#14519737C2211yescharacteristic
65C2×#14519737C2211yescharacteristic, complemented
66C2×#14519735C2211yescharacteristic, complemented
67C2×#14519733C2211yescharacteristic
68C2×#14519733C2211yescharacteristic, complemented
69C22×C22⋊Dic61C2211yescharacteristic
70C22×C4×Dic61C2211yescharacteristic
71C22×C4×Dic61C2211yescharacteristic
72C22×C4×Dic61C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839698C2211yescharacteristic
76#16839698C2211yescharacteristic
77#16839695C2211yescharacteristic, complemented
78#16839695C2211yescharacteristic, complemented
79#16839695C2211yescharacteristic, complemented
80#16839692C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic
83#16839690C2211yescharacteristic, complemented
84#16839687C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic
86#16839684C2211yescharacteristic, complemented
87#16839682C2211yescharacteristic, complemented
88#16839682C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839677C2211yescharacteristic
93#16839677C2211yescharacteristic, complemented
94#16839676C2211yescharacteristic
95#16839675C2211yescharacteristic, complemented
96#16839674C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic, complemented
100#16839670C2211yescharacteristic
101#16839666C2211yescharacteristic, complemented
102#16839666C2211yescharacteristic, complemented
103#16839666C2211yescharacteristic, complemented
104#16839663C2211yescharacteristic, complemented
105#16839662C2211yescharacteristic
106#16839662C2211yescharacteristic
107#16839662C2211yescharacteristic
108#16839662C2211yescharacteristic
109#16839662C2211yescharacteristic
110#16839662C2211yescharacteristic
111#16839659C2211yescharacteristic, complemented
112#16839659C2211yescharacteristic, complemented
113#16839658C2211yescharacteristic, complemented
114#16839657C2211yescharacteristic, complemented
115#16839656C2211yescharacteristic
116#16839655C2211yescharacteristic
117#16839654C2211yescharacteristic, complemented
118#16839653C2211yescharacteristic, complemented
119#16839653C2211yescharacteristic, complemented
120#16839652C2211yescharacteristic, complemented
121#16839651C2211yescharacteristic, complemented
122#16839651C2211yescharacteristic, complemented
123#16839651C2211yescharacteristic, complemented
124#16839651C2211yescharacteristic, complemented
125#16839651C2211yescharacteristic, complemented
126#16839650C2211yescharacteristic
127#16839644C2211yescharacteristic, complemented
128#16839644C2211yescharacteristic, complemented
129#16839642C2211yescharacteristic
130#16839641C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic
138#16839639C2211yescharacteristic, complemented
139#16839634C2211yescharacteristic
140#16839634C2211yescharacteristic
141#16839634C2211yescharacteristic
142#16839634C2211yescharacteristic
143#16839626C2211yescharacteristic, complemented
144#16839620C2211yescharacteristic, complemented
145C4⋊C4×Dic61C2211yescharacteristic, complemented
146C4⋊C4×Dic61C2211yescharacteristic, complemented
147C4⋊C4×Dic61C2211yescharacteristic, complemented
148C4×C4⋊Dic61C2211yescharacteristic, complemented
149#16839613C2211yescharacteristic, complemented
150#16839613C2211yescharacteristic, complemented
151C22⋊C4×Dic61C2211yescharacteristic
152C22⋊C4×Dic61C2211yescharacteristic
153C22⋊C4×Dic61C2211yescharacteristic
154C22⋊C4×Dic61C2211yescharacteristic
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C22⋊C4×Dic61C2211yescharacteristic
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C4×C22⋊Dic61C2211yescharacteristic
166C4×C22⋊Dic61C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic
172C2×#14519684C2211yescharacteristic
173C42×Dic61C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C2×C4×D4×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#396C2211yescharacteristic
179C61×#396C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#388C2211yescharacteristic
183C61×#388C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#381C2211yescharacteristic
187C61×#380C2211yescharacteristic
188C61×#379C2211yescharacteristic
189C2×#11758224—24no—
190C2×#11758224—24no—
191C2×#11758224—42no—
192C22×Dic122C2311yescharacteristic
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C23×Dic61—24no—
204C23×Dic61—24no—
205C23×Dic61—42no—
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218#14519772—24no—
219#14519770—24no—
220#14519767—24no—
221#14519763—24no—
222#14519763—24no—
223#14519761—24no—
224#14519760—24no—
225#14519760—24no—
226#14519758—24no—
227#14519754—24no—
228#14519754—24no—
229#14519754—24no—
230#14519751—24no—
231#14519749—24no—
232#14519749—24no—
233#14519749—24no—
234#14519749—24no—
235#14519746—24no—
236#14519746—24no—
237#14519742—24no—
238D4×Dic61—24no—
239D4×Dic61—24no—
240D4×Dic61D418yescomplemented
241#14519739—42no—
242#14519737—24no—
243#14519737—24no—
244#14519737—24no—
245#14519737—24no—
246#14519737—24no—
247#14519737—42no—
248#14519735—24no—
249#14519733—24no—
250#14519733—24no—
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61—24no—
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×#11758198C2311yescharacteristic
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×C4×Dic61—24no—
306C2×C4×Dic61—42no—
307C2×C4×Dic61—42no—
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
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
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
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
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C25×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#123×C61—24no—
360#120×C61—24no—
361C4×D4×C61—24no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C42×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
401C24×C61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
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×C61C2×D414yes—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61#4114yescomplemented
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—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—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—22no—
465C22×Dic61—22no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—22no—
470C22×Dic61—22no—
471C22×Dic61—22no—
472C22×Dic61—22no—
473C22×Dic61—22no—
474C22×Dic61—22no—
475C22×Dic61—22no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—41no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61—41no—
483C22×Dic61—41no—
484C22×Dic61—416no—
485C22×Dic61C2×D414yes—
486C22×Dic61C2×D414yes—
487C22×Dic61#4114yes—
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
498C22×Dic61C2411yescharacteristic
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C22×Dic61C2411yescharacteristic
502#11758224—416no—
503C2×D244—22no—
504C2×D244—41no—
505C2×D244—41no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×Dic122—22no—
513C2×Dic122—22no—
514C2×Dic122—22no—
515C2×Dic122—22no—
516C2×Dic122—41no—
517C2×Dic122—41no—
518C4⋊C4×C61—22no—
519C4⋊C4×C61—22no—
520C4⋊C4×C61—22no—
521C4⋊C4×C61—41no—
522C4⋊C4×C61—41no—
523C22⋊C4×C61—22no—
524C22⋊C4×C61—22no—
525C22⋊C4×C61—22no—
526C22⋊C4×C61—22no—
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—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C42×C61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61C2×D414yes—
551C22⋊Dic61C2×D414yes—
552C22⋊Dic61#4114yescomplemented
553C22⋊Dic61#4114yescomplemented
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—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572C4⋊Dic61—22no—
573C4⋊Dic61—22no—
574C4⋊Dic61—22no—
575C4⋊Dic61—22no—
576C4⋊Dic61C2×D414yes—
577#11758196—22no—
578#11758196—22no—
579#11758196—22no—
580#11758196—22no—
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—41no—
592#11758196—41no—
593C4×Dic61—22no—
594C4×Dic61—22no—
595C4×Dic61—22no—
596C4×Dic61—22no—
597C4×Dic61—22no—
598C4×Dic61—22no—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—41no—
606C4×Dic61—41no—
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—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—44no—
635C23×C61—44no—
636C23×C61—44no—
637C23×C61—44no—
638C23×C61—44no—
639C23×C61—44no—
640C23×C61C22×D412yes—
641C23×C61C22×D412yes—
642C23×C61C2×#4112yes—
643C23×C61C2×#4112yes—
644C23×C61C2×#4112yes—
645C23×C61C2×#4112yes—
646C23×C61C2511yescharacteristic
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×D61—21no—
661D4×C61—28no—
662D4×C61—44no—
663D4×C61—44no—
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—21no—
674C2×C4×C61—21no—
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—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—44no—
695C2×C4×C61—44no—
696C2×C4×C61—44no—
697C2×C4×C61C22×D412yes—
698C2×C4×C61C2×#4112yes—
699C2×C4×C61C2×#4112yes—
700C22⋊D61—44no—
701C22⋊D61—44no—
702C22⋊D61—44no—
703C22⋊D61—44no—
704C22⋊D61—44no—
705C22⋊D61—44no—
706C22⋊D61—44no—
707C22⋊D61—44no—
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×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—28no—
725C2×Dic61—28no—
726C2×Dic61—28no—
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—44no—
743C2×Dic61—44no—
744C2×Dic61—44no—
745C2×Dic61—44no—
746C2×Dic61—44no—
747C2×Dic61—44no—
748C2×Dic61—44no—
749C2×Dic61C22×D412yes—
750C2×Dic61C22×D412yes—
751C2×Dic61C22×D412yes—
752C2×Dic61C22×D412yes—
753C2×Dic61C2×#4112yes—
754C2×Dic61C2×#4112yes—
755C2×Dic61C2×#4112yes—
756C2×Dic61C2×#4112yes—
757C2×Dic61C2×#4112yes—
758C2×Dic61C2×#4112yes—
759C2×Dic61H(5,𝔽2)12yes—
760D244—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—22no—
779C22×C61—22no—
780C22×C61—22no—
781C22×C61—416no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61#53214yes—
795C22×C61C23×D411yescharacteristic
796C22×C61C22×#4111yescharacteristic
797C22×C61C22×#4111yescharacteristic
798C22×C61C22×#4111yescharacteristic
799C22×C61C22×#4111yescharacteristic
800C22×C61C2×H(5,𝔽2)11yescharacteristic
801C22×C61#58511yescharacteristic
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—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827Dic61—22no—
828Dic61—22no—
829Dic61—22no—
830Dic61—22no—
831Dic61—22no—
832Dic61—22no—
833Dic61—22no—
834Dic61—22no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61#54614yes—
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#2534D6111yescharacteristic, complemented
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⋊C4—611no—
872C2×C61—24no—
873C2×C61—42no—
874C2×C61—42no—
875C2×C61—42no—
876C2×C61C2×#53211yescharacteristic
877C2×C61#344411yescharacteristic
878C2×C61#345911yescharacteristic
879C2×C61C2×#54611yescharacteristic
880C2×C61D4×#4111yescharacteristic
881C2×C61#347511yescharacteristic
882C2×C61#348111yescharacteristic
883D61—81no—
884D61—81no—
885C22×#41—611no—
886C24×C4—611no—
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×#123C2×D6111yescharacteristic
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×#120C2×D6111yescharacteristic
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×D4C2×D6111yescharacteristic
922C2×#117—611no—
923C2×#117—611no—
924C2×#117—611no—
925C22×C22⋊C4—611no—
926C22×C22⋊C4C2×D6111yescharacteristic
927C22×C42—611no—
928C22×C42—611no—
929C22×C42—611no—
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#396C2×D6111yescharacteristic
945#396C2×D6111yescharacteristic
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#394C2×D6111yescharacteristic
955#394C2×D6111yescharacteristic
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#388C2×D6111yescharacteristic
989#388C2×D6111yescharacteristic
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#386C2×D6111yescharacteristic
1003#386C2×D6111yescharacteristic
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#382—611no—
1009#381C2×D6111yescharacteristic
1010#380—611no—
1011#380C2×D6111yescharacteristic
1012#379C2×D6111yescharacteristic
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⋊C4—611no—
1032C4×C22⋊C4—611no—
1033C4×C22⋊C4—611no—
1034C4×C22⋊C4—611no—
1035C4×C22⋊C4—611no—
1036C4×C22⋊C4—611no—
1037C4×C22⋊C4—611no—
1038C4×C22⋊C4—611no—
1039C2×#95—611no—
1040C2×#95—611no—
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×D4C22×D6111yescharacteristic
1059C22×D4C22×D6111yescharacteristic
1060C22×D4C22×D6111yescharacteristic
1061C23×C4—611no—
1062C23×C4—611no—
1063C23×C4—611no—
1064C23×C4—611no—
1065C23×C4—611no—
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—1224no—
1074C23×C4—1224no—
1075C23×C4—2442no—
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—24no—
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—24no—
1098#120—1224no—
1099#120—1224no—
1100C4×Q8—1224no—
1101C4×D4—24no—
1102C4×D4—618no—
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⋊C4C22×D6111yescharacteristic
1137C2×C4⋊C4C22×D6111yescharacteristic
1138C2×C4⋊C4C22×D6111yescharacteristic
1139C2×C4⋊C4C22×D6111yescharacteristic
1140C2×C4⋊C4C22×D6111yescharacteristic
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—611no—
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—1224no—
1175C2×C22⋊C4C22×D6111yescharacteristic
1176C2×C22⋊C4C22×D6111yescharacteristic
1177C2×C22⋊C4C22×D6111yescharacteristic
1178C2×C22⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C22⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4C22×D6111yescharacteristic
1182C2×C22⋊C4C22×D6111yescharacteristic
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—611no—
1192C2×C42—611no—
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—611no—
1205C2×C42—611no—
1206C2×C42—611no—
1207C2×C42—611no—
1208C2×C42—611no—
1209C2×C42—1224no—
1210C2×C42—2442no—
1211C2×C42—2442no—
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#95—611no—
1238#95—611no—
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—
1254C24C23×D6111yescharacteristic
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—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—41no—
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—1222no—
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×D4D4×D6114yes—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—611no—
1310C22×C4—614no—
1311C22×C4—614no—
1312C22×C4—614no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—1222no—
1327C22×C4—1222no—
1328C22×C4—1222no—
1329C22×C4—1222no—
1330C22×C4—1222no—
1331C22×C4—1222no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
1340C22×C4—1222no—
1341C22×C4—1222no—
1342C22×C4—1222no—
1343C22×C4—1222no—
1344C22×C4—1222no—
1345C22×C4—1222no—
1346C22×C4—1222no—
1347C22×C4—1222no—
1348C22×C4—1222no—
1349C22×C4—1222no—
1350C22×C4—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—2441no—
1354C22×C4—2441no—
1355C22×C4—2441no—
1356C22×C4—2441no—
1357C22×C4—2441no—
1358C22×C4—2441no—
1359C22×C4—24416no—
1360C22×C4#1175822414yescomplemented
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—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—614no—
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—1222no—
1395C4⋊C4—1222no—
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—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—614no—
1415C22⋊C4—614no—
1416C22⋊C4—614no—
1417C22⋊C4—614no—
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—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—2441no—
1443C22⋊C4—2441no—
1444C22⋊C4—2441no—
1445C22⋊C4—2441no—
1446C42—22no—
1447C42—614no—
1448C42—1222no—
1449C42—1222no—
1450C42—1222no—
1451C42—1222no—
1452C42—1222no—
1453C42—1222no—
1454C42—1222no—
1455C42—1222no—
1456C42—1222no—
1457C42—1222no—
1458C42—1222no—
1459C42—1222no—
1460C42—2441no—
1461C42—2441no—
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—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
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—
1508C23C2×D4×D6112yes—
1509C23C2×D4×D6112yes—
1510C23#41×D6112yes—
1511C23#41×D6112yes—
1512C23#41×D6112yes—
1513C23C2×#1175822412yes—
1514C23C24×D6111yescharacteristic
1515Q8—2444no—
1516Q8—2444no—
1517D4—28no—
1518D4—44no—
1519D4—44no—
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—21no—
1542C2×C4—21no—
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—21no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—612no—
1563C2×C4—612no—
1564C2×C4—612no—
1565C2×C4—612no—
1566C2×C4—612no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—612no—
1570C2×C4—612no—
1571C2×C4—612no—
1572C2×C4—612no—
1573C2×C4—1228no—
1574C2×C4—1228no—
1575C2×C4—1228no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
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—1221no—
1607C2×C4—2444no—
1608C2×C4—2444no—
1609C2×C4—2444no—
1610C2×C4—2444no—
1611C2×C4—2444no—
1612C2×C4—2444no—
1613C2×C4—2444no—
1614C2×C4—2444no—
1615C2×C4—2444no—
1616C2×C4C2×D4×D6112yes—
1617C2×C4C2×#1175822412yes—
1618C2×C4C2×#1175822412yes—
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—22no—
1632C22—22no—
1633C22—22no—
1634C22—416no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
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#1684030714yes—
1662C22C22×D4×D6111yescharacteristic
1663C22C2×#41×D6111yescharacteristic
1664C22C2×#41×D6111yescharacteristic
1665C22C2×#41×D6111yescharacteristic
1666C22C22×#1175822411yescharacteristic
1667C22H(5,𝔽2)×D6111yescharacteristic
1668C22#1684059711yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—614no—
1681C4—1222no—
1682C4—1222no—
1683C4—1222no—
1684C4—1222no—
1685C4—1222no—
1686C4—1222no—
1687C4—1222no—
1688C4—1222no—
1689C4—2441no—
1690C4—2441no—
1691C4—2441no—
1692C4—2441no—
1693C4—2441no—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—42no—
1698C2—4881no—
1699C2—4881no—
1700C2C2×#1684030711yescharacteristic
1701C2#2145911111yescharacteristic
1702C2#2145922511yescharacteristic
1703C2#546×D6111yescharacteristic
1704C2#2145930311yescharacteristic
1705C2#2145937411yescharacteristic
1706C2#2145942211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2534C2
hypercenter#2534D61
hypocenterC61#34829
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2534

Complements

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

NH ≅ G/Ntype
1. C2×#16840289C2semidirect
2. C2×#16840268C2semidirect
3. #21450960C2semidirect
4. #21450945C2semidirect
5. #21450930C2semidirect
6. #21450915C2semidirect
7. #21450896C2semidirect
8. #21450887C2semidirect
9. #21450872C2semidirect
10. #21450857C2semidirect
11. #21450831C2semidirect
12. #21450775C2semidirect
13. #21450750C2semidirect
14. #21450141C2semidirect
15. #21449942C2semidirect
16. #21449374C2semidirect
17. #21449359C2semidirect
18. #21449094C2semidirect
19. #21449075C2semidirect
20. #21449064C2semidirect
21. #21449033C2semidirect
22. #21448360C2semidirect
23. #21448336C2semidirect
24. #21448329C2semidirect
25. #21448325C2semidirect
26. #21448318C2semidirect
27. #21448304C2semidirect
28. #21448279C2semidirect
29. C4×D4×Dic61C2semidirect
30. C2×C22⋊C4×Dic61C2semidirect
31. C61×#2534C2semidirect
35. C2×#14519772C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519767C22semidirect
39. C2×#14519763C22semidirect
55. C2×#14519742C22semidirect
59. C2×#14519739C22semidirect
65. C2×#14519737C22semidirect
66. C2×#14519735C22semidirect
68. C2×#14519733C22semidirect
72. C22×C4×Dic61C22semidirect
73. #16839704C22semidirect
74. #16839703C22semidirect
77. #16839695C22semidirect
78. #16839695C22semidirect
79. #16839695C22semidirect
80. #16839692C22semidirect
81. #16839691C22semidirect
83. #16839690C22semidirect
84. #16839687C22semidirect
86. #16839684C22semidirect
87. #16839682C22semidirect
88. #16839682C22semidirect
89. #16839679C22semidirect
93. #16839677C22semidirect
95. #16839675C22semidirect
99. #16839671C22semidirect
101. #16839666C22semidirect
102. #16839666C22semidirect
103. #16839666C22semidirect
104. #16839663C22semidirect
111. #16839659C22semidirect
112. #16839659C22semidirect
113. #16839658C22semidirect
114. #16839657C22semidirect
117. #16839654C22semidirect
118. #16839653C22semidirect
119. #16839653C22semidirect
120. #16839652C22semidirect
121. #16839651C22semidirect
122. #16839651C22semidirect
123. #16839651C22semidirect
124. #16839651C22semidirect
125. #16839651C22semidirect
127. #16839644C22semidirect
128. #16839644C22semidirect
130. #16839641C22semidirect
131. #16839641C22semidirect
138. #16839639C22semidirect
143. #16839626C22semidirect
144. #16839620C22semidirect
145. C4⋊C4×Dic61C22semidirect
146. C4⋊C4×Dic61C22semidirect
147. C4⋊C4×Dic61C22semidirect
148. C4×C4⋊Dic61C22semidirect
149. #16839613C22semidirect
150. #16839613C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
166. C4×C22⋊Dic61C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
173. C42×Dic61C22semidirect
240. D4×Dic61D4semidirect
421. C22×C4×C61#41semidirect
552. C22⋊Dic61#41semidirect
553. C22⋊Dic61#41semidirect
854. #2534D61semidirect
1042. C61#34829semidirect
1360. C22×C4#11758224semidirect

Maximal subgroups

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

subgroupindex
C2×#168402892
C2×#168402682
#214509602
#214509452
#214509302
#214509152
#214508962
#214508872
#214508722
#214508572
#214508312
#214507752
#214507502
#214501412
#214499422
#214493742
#214493592
#214490942
#214490752
#214490642
#214490332
#214483602
#214483362
#214483292
#214483252
#214483182
#214483042
#214482792
C4×D4×Dic612
C2×C22⋊C4×Dic612
C61×#25342
#3482961