Finite Group Databasebeta

← #29847775

Subgroups — #29847775

Order 15616.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840289C211yesmaximal, characteristic, complemented
2C22×D4×Dic61C211yesmaximal, characteristic, complemented
3#21450077C211yesmaximal, characteristic, complemented
4#21450062C211yesmaximal, characteristic, complemented
5#21449957C211yesmaximal, characteristic, complemented
6#21449942C211yesmaximal, characteristic, complemented
7#21449863C211yesmaximal, characteristic, complemented
8#21449848C211yesmaximal, characteristic, complemented
9#21449764C211yesmaximal, characteristic, complemented
10#21449749C211yesmaximal, characteristic, complemented
11#21449649C211yesmaximal, characteristic, complemented
12#21449567C211yesmaximal, characteristic, complemented
13#21449485C211yesmaximal, characteristic, complemented
14#21449374C211yesmaximal, characteristic, complemented
15#21449292C211yesmaximal, characteristic, complemented
16#21449215C211yesmaximal, characteristic, complemented
17#21449193C211yesmaximal, characteristic
18#21449107C211yesmaximal, characteristic, complemented
19#21449075C211yesmaximal, characteristic, complemented
20#21449062C211yesmaximal, characteristic, complemented
21#21449058C211yesmaximal, characteristic, complemented
22#21448351C211yesmaximal, characteristic, complemented
23#123×Dic61C211yesmaximal, characteristic, complemented
24#21448329C211yesmaximal, characteristic, complemented
25#21448318C211yesmaximal, characteristic, complemented
26#21448318C211yesmaximal, characteristic, complemented
27#21448259C211yesmaximal, characteristic, complemented
28#21448255C211yesmaximal, characteristic, complemented
29#21448197C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2405C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34#16840289—28no—
35C2×#14519772C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519767C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic, complemented
39C2×#14519760C2211yescharacteristic, complemented
40C2×#14519754C2211yescharacteristic
41C2×#14519754C2211yescharacteristic, complemented
42C2×#14519749C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519746C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519742C2211yescharacteristic, complemented
47C2×D4×Dic61—28no—
48C2×D4×Dic61C2211yescharacteristic
49C2×D4×Dic61C2211yescharacteristic
50C2×D4×Dic61C2211yescharacteristic
51C2×D4×Dic61C2211yescharacteristic
52C2×D4×Dic61C2211yescharacteristic
53C2×D4×Dic61C2211yescharacteristic
54C2×D4×Dic61C2211yescharacteristic
55C2×D4×Dic61C2211yescharacteristic
56C2×#14519737C2211yescharacteristic
57C2×#14519737C2211yescharacteristic, complemented
58C2×#14519737C2211yescharacteristic, complemented
59C2×#14519737C2211yescharacteristic, complemented
60C2×#14519737C2211yescharacteristic, complemented
61C2×#14519735C2211yescharacteristic, complemented
62C2×#14519733C2211yescharacteristic, complemented
63C2×#14519733C2211yescharacteristic, complemented
64C22×C4⋊Dic61C2211yescharacteristic
65C22×C22⋊Dic61C2211yescharacteristic
66C22×C22⋊Dic61C2211yescharacteristic
67C22×C22⋊Dic61C2211yescharacteristic
68C22×C4×Dic61C2211yescharacteristic
69C22×C4×Dic61C2211yescharacteristic, complemented
70C22×C4×Dic61C2211yescharacteristic, complemented
71#16839704C2211yescharacteristic, complemented
72#16839702C2211yescharacteristic, complemented
73#16839701C2211yescharacteristic, complemented
74#16839698C2211yescharacteristic, complemented
75#16839696C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839690C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839689C2211yescharacteristic, complemented
84#16839687C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic, complemented
90#16839677C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic, complemented
92#16839677C2211yescharacteristic, complemented
93#16839676C2211yescharacteristic
94#16839676C2211yescharacteristic
95#16839674C2211yescharacteristic, complemented
96#16839674C2211yescharacteristic, complemented
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839666C2211yescharacteristic, complemented
100#16839662C2211yescharacteristic, complemented
101#16839659C2211yescharacteristic, complemented
102#16839657C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839655C2211yescharacteristic, complemented
105#16839655C2211yescharacteristic, complemented
106#16839654C2211yescharacteristic, complemented
107#16839654C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839650C2211yescharacteristic, complemented
110#16839650C2211yescharacteristic, complemented
111#16839649C2211yescharacteristic, complemented
112#16839648C2211yescharacteristic, complemented
113#16839648C2211yescharacteristic, complemented
114#16839647C2211yescharacteristic, complemented
115#16839647C2211yescharacteristic, complemented
116#16839645C2211yescharacteristic, complemented
117#16839643C2211yescharacteristic, complemented
118#16839643C2211yescharacteristic, complemented
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic
121#16839641C2211yescharacteristic
122#16839641C2211yescharacteristic, complemented
123#16839639C2211yescharacteristic
124#16839639C2211yescharacteristic
125#16839639C2211yescharacteristic
126#16839639C2211yescharacteristic, complemented
127#16839639C2211yescharacteristic, complemented
128#16839639C2211yescharacteristic, complemented
129#16839639C2211yescharacteristic, complemented
130#16839637C2211yescharacteristic
131#16839637C2211yescharacteristic, complemented
132#16839635C2211yescharacteristic
133#16839635C2211yescharacteristic, complemented
134#16839634C2211yescharacteristic
135#16839634C2211yescharacteristic
136#16839634C2211yescharacteristic, complemented
137#16839634C2211yescharacteristic, complemented
138#16839634C2211yescharacteristic, complemented
139#16839634C2211yescharacteristic, complemented
140#16839634C2211yescharacteristic, complemented
141#16839625C2211yescharacteristic, complemented
142#16839623C2211yescharacteristic, complemented
143#16839623C2211yescharacteristic, complemented
144#16839620C2211yescharacteristic
145#16839620C2211yescharacteristic
146#16839620C2211yescharacteristic
147#16839620C2211yescharacteristic, complemented
148#16839620C2211yescharacteristic, complemented
149#16839620C2211yescharacteristic, complemented
150#16839618C2211yescharacteristic
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153#16839613C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C22⋊C4×Dic61C2211yescharacteristic, complemented
166C22⋊C4×Dic61C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C23×D4×C61C2211yescharacteristic
175C2×#123×C61C2211yescharacteristic
176C2×#123×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C61×#385C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C61×#379C2211yescharacteristic
188C61×#379C2211yescharacteristic
189C22×Dic122C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C23×Dic61—24no—
196C23×Dic61—24no—
197C23×Dic61—24no—
198C23×Dic61—24no—
199C23×Dic61—42no—
200C23×Dic61—42no—
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216#14519772—24no—
217#14519770—24no—
218#14519767—24no—
219#14519763—24no—
220#14519760—24no—
221#14519754—24no—
222#14519754—24no—
223#14519749—24no—
224#14519749—24no—
225#14519746—24no—
226#14519746—24no—
227#14519742—24no—
228D4×Dic61—24no—
229D4×Dic61—24no—
230D4×Dic61—24no—
231D4×Dic61—24no—
232D4×Dic61—24no—
233D4×Dic61—24no—
234D4×Dic61—24no—
235D4×Dic61D418yescomplemented
236#14519737—24no—
237#14519737—24no—
238#14519737—24no—
239#14519737—42no—
240#14519737—42no—
241#14519735—24no—
242#14519733—24no—
243#14519733—42no—
244C2×C4⋊Dic61—24no—
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
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×C22⋊Dic61—24no—
268C2×C22⋊Dic61—24no—
269C2×C22⋊Dic61—24no—
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×C4×Dic61—24no—
301C2×C4×Dic61—24no—
302C2×C4×Dic61—42no—
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
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
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
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
350C25×C61C2311yescharacteristic
351C25×C61C2311yescharacteristic
352C22×D4×C61—24no—
353C22×D4×C61—24no—
354C22×D4×C61—24no—
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C23×C4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361C23×C4×C61C2311yescharacteristic
362#123×C61—24no—
363#123×C61—24no—
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×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—22no—
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61#4114yes—
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C24×C61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C2×D4×C61—232no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—22no—
419C2×D4×C61—22no—
420C2×D4×C61—22no—
421C2×D4×C61—22no—
422C2×D4×C61C2×D414yes—
423C2×D4×C61#4114yes—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—22no—
428C22×C4×C61—22no—
429C22×C4×C61—22no—
430C22×C4×C61—22no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
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—22no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
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—22no—
479C22×Dic61—22no—
480C22×Dic61—22no—
481C22×Dic61—22no—
482C22×Dic61—22no—
483C22×Dic61—22no—
484C22×Dic61—22no—
485C22×Dic61—22no—
486C22×Dic61—22no—
487C22×Dic61—22no—
488C22×Dic61—41no—
489C22×Dic61—41no—
490C22×Dic61—41no—
491C22×Dic61—41no—
492C22×Dic61—41no—
493C22×Dic61—41no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—416no—
498C22×Dic61—416no—
499C22×Dic61C2×D414yes—
500C22×Dic61C2×D414yes—
501C22×Dic61#4114yes—
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×Dic122—22no—
521C2×Dic122—22no—
522C2×Dic122—41no—
523C4⋊C4×C61—22no—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—22no—
526C4⋊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—22no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—22no—
551C22⋊Dic61—22no—
552C22⋊Dic61—22no—
553C22⋊Dic61—22no—
554C22⋊Dic61—22no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61C2×D414yes—
564C22⋊Dic61C2×D414yes—
565C22⋊Dic61#4114yes—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575C4⋊Dic61—22no—
576C4⋊Dic61—22no—
577C4⋊Dic61—22no—
578C4⋊Dic61—22no—
579C4⋊Dic61—22no—
580C4⋊Dic61—41no—
581C4⋊Dic61C2×D414yes—
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—41no—
593#11758196—41no—
594#11758196—41no—
595#11758196—41no—
596#11758196—41no—
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—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—28no—
621C23×C61—28no—
622C23×C61—28no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—44no—
642C23×C61—44no—
643C23×C61—44no—
644C23×C61—44no—
645C23×C61—44no—
646C23×C61—44no—
647C23×C61—44no—
648C23×C61—44no—
649C23×C61—44no—
650C23×C61—44no—
651C23×C61—44no—
652C23×C61C22×D412yes—
653C23×C61C22×D412yes—
654C23×C61C2×#4112yes—
655C23×C61C2×#4112yes—
656C23×C61C2×#4112yes—
657C23×C61C2×#4112yes—
658C23×C61C2×#4112yes—
659C23×C61C2×#4112yes—
660C23×C61C2×#4112yes—
661C23×C61C2511yescharacteristic
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669D4×C61—28no—
670D4×C61—28no—
671D4×C61—28no—
672D4×C61—28no—
673C2×C4×C61—28no—
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—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—44no—
703C2×C4×C61—44no—
704C2×C4×C61C22×D412yes—
705C2×C4×C61C2×#4112yes—
706C22⋊D61—44no—
707C22⋊D61—44no—
708C22⋊D61—44no—
709C22⋊D61—44no—
710C22⋊D61—44no—
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—28no—
724C2×Dic61—28no—
725C2×Dic61—28no—
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×Dic61—44no—
751C2×Dic61—44no—
752C2×Dic61—44no—
753C2×Dic61—44no—
754C2×Dic61—44no—
755C2×Dic61—44no—
756C2×Dic61—44no—
757C2×Dic61—44no—
758C2×Dic61—44no—
759C2×Dic61—44no—
760C2×Dic61—44no—
761C2×Dic61C22×D412yes—
762C2×Dic61C22×D412yes—
763C2×Dic61C22×D412yes—
764C2×Dic61C22×D412yes—
765C2×Dic61C2×#4112yes—
766C2×Dic61C2×#4112yes—
767C2×Dic61C2×#4112yes—
768C2×Dic61C2×#4112yes—
769C2×Dic61H(5,𝔽2)12yes—
770C4×D61—44no—
771Dic122—44no—
772#34670—611nomaximal, Sylow
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—22no—
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—416no—
795C22×C61—416no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61#52514yes—
809C22×C61#52914yescomplemented
810C22×C61C23×D411yescharacteristic
811C22×C61C22×#4111yescharacteristic
812C22×C61C22×#4111yescharacteristic
813C22×C61C22×#4111yescharacteristic
814C22×C61C22×#4111yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61#58511yescharacteristic
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C4×C61—22no—
825C4×C61—22no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834Dic61—22no—
835Dic61—22no—
836Dic61—22no—
837Dic61—22no—
838Dic61—22no—
839Dic61—22no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61#54614yes—
849C2×#529—611no—
850C22×C4×D4—611no—
851#2481—611no—
852#2480—611no—
853#2473—611no—
854#2472—611no—
855#2467—611no—
856#2466—611no—
857#2460—611no—
858#2459—611no—
859#2450—611no—
860#2444—611no—
861#2437—611no—
862#2425—611no—
863#2419—611no—
864#2412—611no—
865#2410—611no—
866#2405D6111yescharacteristic, complemented
867#2398—611no—
868#2395—611no—
869#2392—611no—
870#2392—611no—
871C4×C22⋊Q8—611no—
872C4×#123—611no—
873C4×#121—611no—
874C4×#120—611no—
875C4×#120—611no—
876#2290—611no—
877#2290—611no—
878#2280—611no—
879C2×C4×C22⋊C4—611no—
880C2×C61—24no—
881C2×C61—24no—
882C2×C61—42no—
883C2×C61—42no—
884C2×C61—42no—
885C2×C61C2×#52511yescharacteristic
886C2×C61C2×#52911yescharacteristic
887C2×C61#345911yescharacteristic
888C2×C61C2×#54611yescharacteristic
889C2×C61D4×#4111yescharacteristic
890C2×C61#347511yescharacteristic
891C2×C61#348111yescharacteristic
892D61—81no—
893C23×D4C2×D6111yescharacteristic
894C24×C4—611no—
895C24×C4—611no—
896#529—1228no—
897C2×#126—611no—
898C2×#126—611no—
899C2×#125—611no—
900C2×#124—611no—
901C2×#123—611no—
902C2×#123C2×D6111yescharacteristic
903C2×#123C2×D6111yescharacteristic
904C2×C22⋊Q8—611no—
905C2×C22⋊Q8—611no—
906C2×#121—611no—
907C2×#121—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×C4×D4—611no—
923C2×C4×D4—611no—
924C2×C4×D4—1228no—
925C2×#117—611no—
926C2×#117—611no—
927C2×#117—611no—
928C22×C4⋊C4—611no—
929C22×C22⋊C4—611no—
930C22×C22⋊C4—611no—
931C22×C22⋊C4—611no—
932C22×C22⋊C4C2×D6111yescharacteristic
933C22×C42—611no—
934C22×C42—611no—
935C22×C42—611no—
936#400—611no—
937#400—611no—
938#400—611no—
939#399—611no—
940#398—611no—
941#398—611no—
942#398—611no—
943#397—611no—
944#397—611no—
945#397—611no—
946#397—611no—
947#397—611no—
948#397—611no—
949#397—611no—
950#396—611no—
951#396—611no—
952#396—611no—
953#396—611no—
954#394—611no—
955#394—611no—
956#394—611no—
957#394—611no—
958#394—611no—
959#394—611no—
960#394C2×D6111yescharacteristic
961#394C2×D6111yescharacteristic
962#394C2×D6111yescharacteristic
963#394C2×D6111yescharacteristic
964#393—611no—
965#393—611no—
966#392—611no—
967#392—611no—
968#391—611no—
969#390—611no—
970#389—611no—
971#389—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#387—611no—
981#387—611no—
982#387—611no—
983#387—611no—
984#387—611no—
985#387—611no—
986#387—611no—
987#387—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386C2×D6111yescharacteristic
1000#386C2×D6111yescharacteristic
1001#385—611no—
1002#385—611no—
1003#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385C2×D6111yescharacteristic
1013#385C2×D6111yescharacteristic
1014#381—611no—
1015#381—611no—
1016#381—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#380—611no—
1022#380—611no—
1023#379—611no—
1024#379C2×D6111yescharacteristic
1025#379C2×D6111yescharacteristic
1026#379C2×D6111yescharacteristic
1027C4×C4⋊C4—611no—
1028C4×C4⋊C4—611no—
1029C4×C4⋊C4—611no—
1030C4×C4⋊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—
1039C4×C22⋊C4—611no—
1040C4×C22⋊C4—611no—
1041C4×C22⋊C4—611no—
1042C4×C22⋊C4—611no—
1043C4×C22⋊C4—611no—
1044C4×C22⋊C4—611no—
1045C4×C22⋊C4—611no—
1046C4×C22⋊C4—611no—
1047#376—611no—
1048C2×#95—611no—
1049C2×#95—611no—
1050C61#3467011yescharacteristic, complemented, Sylow
1051C25C22×D6111yescharacteristic
1052C25C22×D6111yescharacteristic
1053C22×Q8—611no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4C22×D6111yescharacteristic
1063C22×D4C22×D6111yescharacteristic
1064C22×D4C22×D6111yescharacteristic
1065C22×D4C22×D6111yescharacteristic
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—1224no—
1082C23×C4—1224no—
1083C23×C4—1224no—
1084C23×C4—1224no—
1085C23×C4—2442no—
1086C23×C4—2442no—
1087C23×C4C22×D6111yescharacteristic
1088C23×C4C22×D6111yescharacteristic
1089C23×C4C22×D6111yescharacteristic
1090#126—1224no—
1091#126—1224no—
1092#125—1224no—
1093#124—1224no—
1094#123—24no—
1095#123—24no—
1096#123—1224no—
1097C22⋊Q8—1224no—
1098C22⋊Q8—1224no—
1099#121—1224no—
1100#121—1224no—
1101#120—1224no—
1102#120—1224no—
1103C4×Q8—1224no—
1104C4×D4—618no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—1224no—
1113C4×D4—1224no—
1114C4×D4—1224no—
1115C4×D4—2442no—
1116C4×D4—2442no—
1117#117—1224no—
1118#117—1224no—
1119#117—2442no—
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×C4⋊C4—611no—
1142C2×C4⋊C4—1224no—
1143C2×C4⋊C4C22×D6111yescharacteristic
1144C2×C4⋊C4C22×D6111yescharacteristic
1145C2×C4⋊C4C22×D6111yescharacteristic
1146C2×C4⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4—24no—
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—1224no—
1179C2×C22⋊C4—1224no—
1180C2×C22⋊C4—1224no—
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×C22⋊C4C22×D6111yescharacteristic
1192C2×C22⋊C4C22×D6111yescharacteristic
1193C2×C22⋊C4C22×D6111yescharacteristic
1194C2×C22⋊C4C22×D6111yescharacteristic
1195C2×C22⋊C4C22×D6111yescharacteristic
1196C2×C22⋊C4C22×D6111yescharacteristic
1197C2×C22⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4C22×D6111yescharacteristic
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—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—1224no—
1215C2×C42—1224no—
1216C2×C42—2442no—
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#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—611no—
1267C24#1175822414yes—
1268C24C23×D6111yescharacteristic
1269C24C23×D6111yescharacteristic
1270C24C23×D6111yescharacteristic
1271C24C23×D6111yescharacteristic
1272C24C23×D6111yescharacteristic
1273C2×Q8—1222no—
1274C2×Q8—1222no—
1275C2×Q8—2441no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4D4×D6114yes—
1303C2×D4#1175822414yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—611no—
1314C22×C4—614no—
1315C22×C4—614no—
1316C22×C4—614no—
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—611no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
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—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—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—2441no—
1369C22×C4—2441no—
1370C22×C4—2441no—
1371C22×C4—2441no—
1372C22×C4—2441no—
1373C22×C4—24416no—
1374C22×C4—24416no—
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—614no—
1390C4⋊C4—1222no—
1391C4⋊C4—1222no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—1222no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—1222no—
1400C4⋊C4—1222no—
1401C4⋊C4—1222no—
1402C4⋊C4—1222no—
1403C4⋊C4—1222no—
1404C4⋊C4—1222no—
1405C4⋊C4—2441no—
1406C4⋊C4—2441no—
1407C4⋊C4—2441no—
1408C4⋊C4—2441no—
1409C4⋊C4—2441no—
1410C4⋊C4—2441no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—614no—
1430C22⋊C4—614no—
1431C22⋊C4—614no—
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—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C42—614no—
1460C42—1222no—
1461C42—1222no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—1222no—
1469C42—1222no—
1470C42—1222no—
1471C42—1222no—
1472C42—2441no—
1473C42—2441no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23C2×D4×D6112yes—
1522C23C2×D4×D6112yes—
1523C23#41×D6112yes—
1524C23#41×D6112yes—
1525C23C2×#1175822412yes—
1526C23C2×#1175822412yes—
1527C23C2×#1175822412yes—
1528C23C2×#1175822412yes—
1529C23C2×#1175822412yes—
1530C23C24×D6111yescharacteristic
1531Q8—2444no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—2444no—
1537D4—2444no—
1538D4—2444no—
1539D4—2444no—
1540D4—2444no—
1541C2×C4—28no—
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—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—612no—
1573C2×C4—612no—
1574C2×C4—612no—
1575C2×C4—612no—
1576C2×C4—612no—
1577C2×C4—612no—
1578C2×C4—612no—
1579C2×C4—612no—
1580C2×C4—612no—
1581C2×C4—1228no—
1582C2×C4—1228no—
1583C2×C4—1228no—
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—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—2444no—
1621C2×C4—2444no—
1622C2×C4—2444no—
1623C2×C4—2444no—
1624C2×C4—2444no—
1625C2×C4—2444no—
1626C2×C4—2444no—
1627C2×C4—2444no—
1628C2×C4—2444no—
1629C2×C4—2444no—
1630C2×C4—2444no—
1631C2×C4—2444no—
1632C2×C4C2×D4×D6112yes—
1633C2×C4C2×#1175822412yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22#1684026814yes—
1677C22#1684028914yescomplemented
1678C22C22×D4×D6111yescharacteristic
1679C22C2×#41×D6111yescharacteristic
1680C22C2×#41×D6111yescharacteristic
1681C22C22×#1175822411yescharacteristic
1682C22C22×#1175822411yescharacteristic
1683C22H(5,𝔽2)×D6111yescharacteristic
1684C22#1684059711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—614no—
1696C4—1222no—
1697C4—1222no—
1698C4—1222no—
1699C4—1222no—
1700C4—1222no—
1701C4—1222no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—4881no—
1716C2C2×#1684026811yescharacteristic
1717C2C2×#1684028911yescharacteristic
1718C2#2145922511yescharacteristic
1719C2#546×D6111yescharacteristic
1720C2#2145930311yescharacteristic
1721C2#2145937011yescharacteristic
1722C2#2145942411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2405C2
prime radical#21449193C2
hypercenter#2405D61
hypocenterC61#34670
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#16840289C2semidirect
2. C22×D4×Dic61C2semidirect
3. #21450077C2semidirect
4. #21450062C2semidirect
5. #21449957C2semidirect
6. #21449942C2semidirect
7. #21449863C2semidirect
8. #21449848C2semidirect
9. #21449764C2semidirect
10. #21449749C2semidirect
11. #21449649C2semidirect
12. #21449567C2semidirect
13. #21449485C2semidirect
14. #21449374C2semidirect
15. #21449292C2semidirect
16. #21449215C2semidirect
18. #21449107C2semidirect
19. #21449075C2semidirect
20. #21449062C2semidirect
21. #21449058C2semidirect
22. #21448351C2semidirect
23. #123×Dic61C2semidirect
24. #21448329C2semidirect
25. #21448318C2semidirect
26. #21448318C2semidirect
27. #21448259C2semidirect
28. #21448255C2semidirect
29. #21448197C2semidirect
30. C2×C22⋊C4×Dic61C2semidirect
31. C61×#2405C2semidirect
35. C2×#14519772C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519767C22semidirect
38. C2×#14519763C22semidirect
39. C2×#14519760C22semidirect
41. C2×#14519754C22semidirect
46. C2×#14519742C22semidirect
57. C2×#14519737C22semidirect
58. C2×#14519737C22semidirect
59. C2×#14519737C22semidirect
60. C2×#14519737C22semidirect
61. C2×#14519735C22semidirect
62. C2×#14519733C22semidirect
63. C2×#14519733C22semidirect
69. C22×C4×Dic61C22semidirect
70. C22×C4×Dic61C22semidirect
71. #16839704C22semidirect
72. #16839702C22semidirect
73. #16839701C22semidirect
74. #16839698C22semidirect
75. #16839696C22semidirect
76. #16839695C22semidirect
77. #16839692C22semidirect
78. #16839690C22semidirect
79. #16839690C22semidirect
80. #16839690C22semidirect
81. #16839690C22semidirect
82. #16839690C22semidirect
83. #16839689C22semidirect
84. #16839687C22semidirect
85. #16839685C22semidirect
86. #16839685C22semidirect
87. #16839685C22semidirect
88. #16839684C22semidirect
89. #16839678C22semidirect
90. #16839677C22semidirect
91. #16839677C22semidirect
92. #16839677C22semidirect
95. #16839674C22semidirect
96. #16839674C22semidirect
99. #16839666C22semidirect
100. #16839662C22semidirect
101. #16839659C22semidirect
102. #16839657C22semidirect
103. #16839656C22semidirect
104. #16839655C22semidirect
105. #16839655C22semidirect
106. #16839654C22semidirect
107. #16839654C22semidirect
108. #16839652C22semidirect
109. #16839650C22semidirect
110. #16839650C22semidirect
111. #16839649C22semidirect
112. #16839648C22semidirect
113. #16839648C22semidirect
114. #16839647C22semidirect
115. #16839647C22semidirect
116. #16839645C22semidirect
117. #16839643C22semidirect
118. #16839643C22semidirect
122. #16839641C22semidirect
126. #16839639C22semidirect
127. #16839639C22semidirect
128. #16839639C22semidirect
129. #16839639C22semidirect
131. #16839637C22semidirect
133. #16839635C22semidirect
136. #16839634C22semidirect
137. #16839634C22semidirect
138. #16839634C22semidirect
139. #16839634C22semidirect
140. #16839634C22semidirect
141. #16839625C22semidirect
142. #16839623C22semidirect
143. #16839623C22semidirect
147. #16839620C22semidirect
148. #16839620C22semidirect
149. #16839620C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. #16839613C22semidirect
154. #16839613C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C22⋊C4×Dic61C22semidirect
166. C22⋊C4×Dic61C22semidirect
167. C22⋊C4×Dic61C22semidirect
168. C22⋊C4×Dic61C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. #16839609C22semidirect
171. #16839607C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
235. D4×Dic61D4semidirect
809. C22×C61#529semidirect
866. #2405D61semidirect
1050. C61#34670semidirect
1677. C22#16840289semidirect

Maximal subgroups

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

subgroupindex
C2×#168402892
C22×D4×Dic612
#214500772
#214500622
#214499572
#214499422
#214498632
#214498482
#214497642
#214497492
#214496492
#214495672
#214494852
#214493742
#214492922
#214492152
#214491932
#214491072
#214490752
#214490622
#214490582
#214483512
#123×Dic612
#214483292
#214483182
#214482592
#214482552
#214481972
C2×C22⋊C4×Dic612
C61×#24052
#3467061