Finite Group Databasebeta

← #29847779

Subgroups — #29847779

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×#16840291C211yesmaximal, characteristic, complemented
2C22×#14519737C211yesmaximal, characteristic, complemented
3#21450082C211yesmaximal, characteristic, complemented
4#21450059C211yesmaximal, characteristic, complemented
5#21449960C211yesmaximal, characteristic, complemented
6#21449876C211yesmaximal, characteristic, complemented
7#21449853C211yesmaximal, characteristic, complemented
8#21449775C211yesmaximal, characteristic, complemented
9#21449752C211yesmaximal, characteristic, complemented
10#21449636C211yesmaximal, characteristic, complemented
11#21449562C211yesmaximal, characteristic, complemented
12#21449482C211yesmaximal, characteristic, complemented
13#21449371C211yesmaximal, characteristic, complemented
14#21449289C211yesmaximal, characteristic, complemented
15#21449214C211yesmaximal, characteristic, complemented
16#21449189C211yesmaximal, characteristic
17#21449144C211yesmaximal, characteristic, complemented
18#21449101C211yesmaximal, characteristic, complemented
19#21449077C211yesmaximal, characteristic, complemented
20#21449062C211yesmaximal, characteristic, complemented
21#21449062C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic61C211yesmaximal, characteristic, complemented
23#21448346C211yesmaximal, characteristic, complemented
24#21448335C211yesmaximal, characteristic, complemented
25#21448324C211yesmaximal, characteristic, complemented
26#120×Dic61C211yesmaximal, characteristic, complemented
27#21448261C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448197C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840291—28no—
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519770C2211yescharacteristic, complemented
38C2×#14519769C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic
40C2×#14519759C2211yescharacteristic
41C2×#14519759C2211yescharacteristic, complemented
42C2×#14519753C2211yescharacteristic, complemented
43C2×#14519748C2211yescharacteristic
44C2×#14519748C2211yescharacteristic
45C2×#14519745C2211yescharacteristic
46C2×Q8×Dic61C2211yescharacteristic, complemented
47C2×D4×Dic61C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic, complemented
49C2×D4×Dic61C2211yescharacteristic, complemented
50C2×#14519737—28no—
51C2×#14519737C2211yescharacteristic
52C2×#14519737C2211yescharacteristic
53C2×#14519737C2211yescharacteristic
54C2×#14519737C2211yescharacteristic
55C2×#14519737C2211yescharacteristic
56C2×#14519737C2211yescharacteristic
57C2×#14519737C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C2×#14519737C2211yescharacteristic, complemented
60C2×#14519737C2211yescharacteristic, complemented
61C2×#14519733C2211yescharacteristic, complemented
62C2×#14519733C2211yescharacteristic, complemented
63C2×#14519733C2211yescharacteristic, complemented
64C22×#11758196C2211yescharacteristic
65C22×#11758198C2211yescharacteristic
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C22×C4×Dic61C2211yescharacteristic
69C2×C42×D61C2211yescharacteristic, complemented
70C2×C42×D61C2211yescharacteristic, complemented
71#16839704C2211yescharacteristic, complemented
72#16839704C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic, complemented
75#16839696C2211yescharacteristic, complemented
76#16839696C2211yescharacteristic, complemented
77#16839696C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839689C2211yescharacteristic, complemented
83#16839687C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic, complemented
87#16839684C2211yescharacteristic, complemented
88#16839678C2211yescharacteristic
89#16839678C2211yescharacteristic
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic, complemented
93#16839677C2211yescharacteristic
94#16839677C2211yescharacteristic
95#16839677C2211yescharacteristic, complemented
96#16839673C2211yescharacteristic, complemented
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839669C2211yescharacteristic, complemented
100#16839661C2211yescharacteristic, complemented
101#16839660C2211yescharacteristic, complemented
102#16839656C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839655C2211yescharacteristic, complemented
106#16839650C2211yescharacteristic, complemented
107#16839650C2211yescharacteristic, complemented
108#16839648C2211yescharacteristic, complemented
109#16839648C2211yescharacteristic, complemented
110#16839647C2211yescharacteristic, complemented
111#16839647C2211yescharacteristic, complemented
112#16839646C2211yescharacteristic, complemented
113#16839646C2211yescharacteristic, complemented
114#16839645C2211yescharacteristic, complemented
115#16839644C2211yescharacteristic, complemented
116#16839642C2211yescharacteristic
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic, complemented
119#16839642C2211yescharacteristic, complemented
120#16839638C2211yescharacteristic
121#16839638C2211yescharacteristic
122#16839638C2211yescharacteristic
123#16839638C2211yescharacteristic
124#16839638C2211yescharacteristic, complemented
125#16839638C2211yescharacteristic, complemented
126#16839638C2211yescharacteristic, complemented
127#16839637C2211yescharacteristic
128#16839637C2211yescharacteristic
129#16839637C2211yescharacteristic
130#16839637C2211yescharacteristic, complemented
131#16839637C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839636C2211yescharacteristic, complemented
135#16839635C2211yescharacteristic
136#16839635C2211yescharacteristic
137#16839634C2211yescharacteristic
138#16839633C2211yescharacteristic, complemented
139#16839633C2211yescharacteristic, complemented
140#16839624C2211yescharacteristic, complemented
141#16839623C2211yescharacteristic, complemented
142#16839623C2211yescharacteristic, complemented
143#16839622C2211yescharacteristic
144#16839620C2211yescharacteristic
145#16839620C2211yescharacteristic
146#16839620C2211yescharacteristic, complemented
147#16839620C2211yescharacteristic, complemented
148#16839619C2211yescharacteristic, complemented
149#16839618C2211yescharacteristic
150#16839618C2211yescharacteristic
151#16839617C2211yescharacteristic
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4⋊C4×Dic61C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C4×#11758198C2211yescharacteristic, complemented
165C4×#11758198C2211yescharacteristic, complemented
166C4×C22⋊Dic61C2211yescharacteristic
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#124×C61C2211yescharacteristic, complemented
175C2×C22⋊Q8×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#397C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#393C2211yescharacteristic, complemented
182C61×#390C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic
187C61×#379C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C22×C22⋊D61—24no—
191C22×C22⋊D61—24no—
192C22×C22⋊D61—24no—
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C23×Dic61—24no—
200C23×Dic61—24no—
201C23×Dic61—42no—
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61—24no—
211C22×C4×D61—24no—
212C22×C4×D61—42no—
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221#14519770—24no—
222#14519770—24no—
223#14519769—24no—
224#14519759—24no—
225#14519759—24no—
226#14519759—24no—
227#14519753—24no—
228#14519748—24no—
229#14519748—24no—
230#14519745—24no—
231Q8×Dic61—24no—
232D4×Dic61—24no—
233D4×Dic61—24no—
234D4×Dic61—42no—
235#14519737—24no—
236#14519737—24no—
237#14519737—24no—
238#14519737—24no—
239#14519737—24no—
240#14519737—24no—
241#14519737—24no—
242#14519737—24no—
243#14519737—42no—
244#14519737D418yescomplemented
245#14519733—24no—
246#14519733—24no—
247#14519733—42no—
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×#11758196—24no—
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⋊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×#11758198—24no—
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
304C22⋊C4×D61—24no—
305C22⋊C4×D61—24no—
306C2×C4×Dic61—24no—
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
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C42×D61—24no—
321C42×D61—42no—
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
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C25×C61C2311yescharacteristic
353C22×Q8×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#124×C61—24no—
360C22⋊Q8×C61—24no—
361#120×C61—24no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61—24no—
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×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×C42×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×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61#4114yes—
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C2×Q8×C61—22no—
412C2×Q8×C61—22no—
413C2×Q8×C61—41no—
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—41no—
422C2×D4×C61—41no—
423C22×C4×C61—22no—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C2×C22⋊D61—232no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61C2×D414yes—
458C2×C22⋊D61#4114yes—
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—416no—
482C22×Dic61C2×D414yes—
483C22×Dic61#4114yes—
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
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—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—416no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61C2×D414yes—
523C4⋊C4×C61—22no—
524C4⋊C4×C61—22no—
525C4⋊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—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61C2×D414yes—
542C22⋊C4×C61#4114yes—
543C42×C61—22no—
544C42×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—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—41no—
574#11758198—41no—
575#11758198C2×D414yes—
576C4⋊Dic61—22no—
577C4⋊Dic61—22no—
578C4⋊Dic61—22no—
579C4⋊Dic61—22no—
580C4⋊Dic61—22no—
581C4⋊Dic61—22no—
582C4⋊Dic61—22no—
583C4⋊Dic61—41no—
584C4⋊Dic61—41no—
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—41no—
595#11758196—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196C2×D414yes—
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—22no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—28no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—44no—
637C23×C61—44no—
638C23×C61—44no—
639C23×C61—44no—
640C23×C61—44no—
641C23×C61—44no—
642C23×C61C22×D412yes—
643C23×C61C2×#4112yes—
644C23×C61C2×#4112yes—
645C23×C61C2×#4112yes—
646C23×C61C2×#4112yes—
647C23×C61C2511yescharacteristic
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—28no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—28no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61C22×D412yes—
666C22×D61C2×#4112yes—
667C22×D61C2×#4112yes—
668C22×D61C2×#4112yes—
669Q8×C61—44no—
670D4×C61—44no—
671D4×C61—44no—
672D4×C61—44no—
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—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×C61C22×D412yes—
706C2×C4×C61C2×#4112yes—
707C2×C4×C61C2×#4112yes—
708C22⋊D61—28no—
709C22⋊D61—28no—
710C22⋊D61—28no—
711C22⋊D61—28no—
712C22⋊D61—44no—
713C22⋊D61—44no—
714C2×Dic61—28no—
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—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×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—44no—
753C2×Dic61—44no—
754C2×Dic61—44no—
755C2×Dic61—44no—
756C2×Dic61—44no—
757C2×Dic61C22×D412yes—
758C2×Dic61C22×D412yes—
759C2×Dic61C22×D412yes—
760C2×Dic61C2×#4112yes—
761C2×Dic61C2×#4112yes—
762C2×Dic61C2×#4112yes—
763C2×Dic61H(5,𝔽2)12yes—
764C4×D61—28no—
765C4×D61—44no—
766C4×D61—44no—
767C4×D61—44no—
768C4×D61—44no—
769C4×D61—44no—
770C4×D61—44no—
771C4×D61—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—416no—
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—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61#52914yescomplemented
802C22×C61C23×D411yescharacteristic
803C22×C61C22×#4111yescharacteristic
804C22×C61C22×#4111yescharacteristic
805C22×C61C22×#4111yescharacteristic
806C22×C61C22×#4111yescharacteristic
807C22×C61C2×H(5,𝔽2)11yescharacteristic
808C22×C61#58511yescharacteristic
809C2×D61—22no—
810C2×D61—22no—
811C2×D61—22no—
812C2×D61—22no—
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—22no—
817C2×D61—22no—
818C2×D61—416no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61#52514yes—
824C4×C61—22no—
825C4×C61—22no—
826C4×C61—22no—
827C4×C61—22no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835Dic61—22no—
836Dic61—22no—
837Dic61—22no—
838Dic61—22no—
839Dic61—41no—
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#2472D6111yescharacteristic, complemented
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#2405—611no—
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—42no—
882C2×C61—42no—
883C2×C61—81no—
884C2×C61C2×#52511yescharacteristic
885C2×C61C2×#52911yescharacteristic
886C2×C61#345911yescharacteristic
887C2×C61C2×#54611yescharacteristic
888C2×C61D4×#4111yescharacteristic
889C2×C61#347511yescharacteristic
890C2×C61#348111yescharacteristic
891D61—24no—
892D61—42no—
893C23×D4—611no—
894C24×C4—611no—
895C24×C4—611no—
896#529—1228no—
897C2×#126—611no—
898C2×#126—611no—
899C2×#125—611no—
900C2×#124C2×D6111yescharacteristic, complemented
901C2×#123—611no—
902C2×#123—611no—
903C2×#123—611no—
904C2×C22⋊Q8—611no—
905C2×C22⋊Q8C2×D6111yescharacteristic
906C2×#121—611no—
907C2×#121—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×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#397C2×D6111yescharacteristic, complemented
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#394—611no—
961#394—611no—
962#394C2×D6111yescharacteristic, complemented
963#394C2×D6111yescharacteristic, complemented
964#393—611no—
965#393C2×D6111yescharacteristic, complemented
966#392—611no—
967#392—611no—
968#391—611no—
969#390C2×D6111yescharacteristic, complemented
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#388C2×D6111yescharacteristic, complemented
979#388C2×D6111yescharacteristic, complemented
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#385—611no—
1013#385—611no—
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#379—611no—
1025#379—611no—
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⋊C4C2×D6111yescharacteristic
1047#376—611no—
1048C2×#95—611no—
1049C2×#95—611no—
1050C61#3467011yescharacteristic, complemented, Sylow
1051C25—611no—
1052C25C22×D6111yescharacteristic
1053C22×Q8C22×D6111yescharacteristic
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—1224no—
1061C22×D4—1224no—
1062C22×D4—1224no—
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—611no—
1082C23×C4—1224no—
1083C23×C4—1224no—
1084C23×C4—1224no—
1085C23×C4—1224no—
1086C23×C4—2442no—
1087C23×C4—2442no—
1088C23×C4C22×D6111yescharacteristic
1089C23×C4C22×D6111yescharacteristic
1090#126—1224no—
1091#126—1224no—
1092#125—1224no—
1093#124—24no—
1094#123—1224no—
1095#123—1224no—
1096#123—1224no—
1097C22⋊Q8—24no—
1098C22⋊Q8—1224no—
1099#121—1224no—
1100#121—1224no—
1101#120—24no—
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—611no—
1143C2×C4⋊C4—1224no—
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—611no—
1179C2×C22⋊C4—1224no—
1180C2×C22⋊C4—1224no—
1181C2×C22⋊C4—1224no—
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—1224no—
1213C2×C42—1224no—
1214C2×C42—2442no—
1215C2×C42C22×D6111yescharacteristic
1216C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—41no—
1259C24—41no—
1260C24—611no—
1261C24—611no—
1262C24—614no—
1263C24—1222no—
1264C24—1222no—
1265C24—1222no—
1266C24—1222no—
1267C24—2441no—
1268C24—2441no—
1269C24C23×D6111yescharacteristic
1270C24C23×D6111yescharacteristic
1271C24C23×D6111yescharacteristic
1272C24C23×D6111yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—614no—
1286C2×D4—614no—
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—12232no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—2441no—
1303C2×D4—2441no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—611no—
1311C22×C4—614no—
1312C22×C4—614no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—614no—
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—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—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—2441no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—2441no—
1369C22×C4—24416no—
1370C22×C4—2441no—
1371C22×C4—2441no—
1372C22×C4—2441no—
1373C22×C4—24416no—
1374C22×C4C23×D6111yescharacteristic
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—614no—
1389C4⋊C4—1222no—
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—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—614no—
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—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4D4×D6114yes—
1458C22⋊C4#1175822414yes—
1459C42—22no—
1460C42—41no—
1461C42—614no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—1222no—
1469C42—1222no—
1470C42—1222no—
1471C42—1222no—
1472C42—1222no—
1473C42—2441no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—28no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
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—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—612no—
1505C23—612no—
1506C23—612no—
1507C23—612no—
1508C23—1228no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1228no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—2444no—
1521C23—2444no—
1522C23—2444no—
1523C23—2444no—
1524C23—2444no—
1525C23C2×D4×D6112yes—
1526C23#41×D6112yes—
1527C23#41×D6112yes—
1528C23#41×D6112yes—
1529C23C2×#1175822412yes—
1530C23C24×D6111yescharacteristic
1531Q8—44no—
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—1228no—
1536D4—1228no—
1537D4—1228no—
1538D4—1228no—
1539D4—2444no—
1540D4—2444no—
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—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—1228no—
1580C2×C4—1228no—
1581C2×C4—1228no—
1582C2×C4—1228no—
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—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—2444no—
1619C2×C4—2444no—
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×C4C2×D4×D6112yes—
1631C2×C4C2×D4×D6112yes—
1632C2×C4C2×#1175822412yes—
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—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—614no—
1663C22—1222no—
1664C22—1222no—
1665C22—1222no—
1666C22—1222no—
1667C22—1222no—
1668C22—1222no—
1669C22—1222no—
1670C22—1222no—
1671C22—1222no—
1672C22—24416no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22—2441no—
1677C22#1684029114yescomplemented
1678C22C22×D4×D6111yescharacteristic
1679C22C2×#41×D6111yescharacteristic
1680C22C2×#41×D6111yescharacteristic
1681C22C2×#41×D6111yescharacteristic
1682C22C22×#1175822411yescharacteristic
1683C22H(5,𝔽2)×D6111yescharacteristic
1684C22#1684059711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—614no—
1697C4—1222no—
1698C4—1222no—
1699C4—1222no—
1700C4—1222no—
1701C4—2441no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—1224no—
1715C2—2442no—
1716C2#525×D6111yescharacteristic
1717C2C2×#1684029111yescharacteristic
1718C2#2145923011yescharacteristic
1719C2#546×D6111yescharacteristic
1720C2D4×#1175822411yescharacteristic
1721C2#2145937411yescharacteristic
1722C2#2145942411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2472C2
prime radical#21449189C2
hypercenter#2472D61
hypocenterC61#34670
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#16840291C2semidirect
2. C22×#14519737C2semidirect
3. #21450082C2semidirect
4. #21450059C2semidirect
5. #21449960C2semidirect
6. #21449876C2semidirect
7. #21449853C2semidirect
8. #21449775C2semidirect
9. #21449752C2semidirect
10. #21449636C2semidirect
11. #21449562C2semidirect
12. #21449482C2semidirect
13. #21449371C2semidirect
14. #21449289C2semidirect
15. #21449214C2semidirect
17. #21449144C2semidirect
18. #21449101C2semidirect
19. #21449077C2semidirect
20. #21449062C2semidirect
21. #21449062C2semidirect
22. C22⋊Q8×Dic61C2semidirect
23. #21448346C2semidirect
24. #21448335C2semidirect
25. #21448324C2semidirect
26. #120×Dic61C2semidirect
27. #21448261C2semidirect
28. #21448259C2semidirect
29. #21448197C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2472C2semidirect
36. C2×#14519770C22semidirect
37. C2×#14519770C22semidirect
38. C2×#14519769C22semidirect
41. C2×#14519759C22semidirect
42. C2×#14519753C22semidirect
46. C2×Q8×Dic61C22semidirect
48. C2×D4×Dic61C22semidirect
49. C2×D4×Dic61C22semidirect
59. C2×#14519737C22semidirect
60. C2×#14519737C22semidirect
61. C2×#14519733C22semidirect
62. C2×#14519733C22semidirect
63. C2×#14519733C22semidirect
69. C2×C42×D61C22semidirect
70. C2×C42×D61C22semidirect
71. #16839704C22semidirect
72. #16839704C22semidirect
73. #16839703C22semidirect
74. #16839697C22semidirect
75. #16839696C22semidirect
76. #16839696C22semidirect
77. #16839696C22semidirect
78. #16839691C22semidirect
79. #16839690C22semidirect
80. #16839690C22semidirect
81. #16839690C22semidirect
82. #16839689C22semidirect
83. #16839687C22semidirect
84. #16839685C22semidirect
85. #16839685C22semidirect
86. #16839684C22semidirect
87. #16839684C22semidirect
92. #16839678C22semidirect
95. #16839677C22semidirect
96. #16839673C22semidirect
99. #16839669C22semidirect
100. #16839661C22semidirect
101. #16839660C22semidirect
102. #16839656C22semidirect
103. #16839656C22semidirect
104. #16839656C22semidirect
105. #16839655C22semidirect
106. #16839650C22semidirect
107. #16839650C22semidirect
108. #16839648C22semidirect
109. #16839648C22semidirect
110. #16839647C22semidirect
111. #16839647C22semidirect
112. #16839646C22semidirect
113. #16839646C22semidirect
114. #16839645C22semidirect
115. #16839644C22semidirect
118. #16839642C22semidirect
119. #16839642C22semidirect
124. #16839638C22semidirect
125. #16839638C22semidirect
126. #16839638C22semidirect
130. #16839637C22semidirect
131. #16839637C22semidirect
132. #16839636C22semidirect
133. #16839636C22semidirect
134. #16839636C22semidirect
138. #16839633C22semidirect
139. #16839633C22semidirect
140. #16839624C22semidirect
141. #16839623C22semidirect
142. #16839623C22semidirect
146. #16839620C22semidirect
147. #16839620C22semidirect
148. #16839619C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4⋊C4×Dic61C22semidirect
155. #16839613C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C4×#11758198C22semidirect
165. C4×#11758198C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839607C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. C2×#124×C61C22semidirect
178. C61×#397C22semidirect
179. C61×#394C22semidirect
180. C61×#394C22semidirect
181. C61×#393C22semidirect
182. C61×#390C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
244. #14519737D4semidirect
801. C22×C61#529semidirect
854. #2472D61semidirect
900. C2×#124C2×D61semidirect
949. #397C2×D61semidirect
962. #394C2×D61semidirect
963. #394C2×D61semidirect
965. #393C2×D61semidirect
969. #390C2×D61semidirect
978. #388C2×D61semidirect
979. #388C2×D61semidirect
1050. C61#34670semidirect
1677. C22#16840291semidirect

Maximal subgroups

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

subgroupindex
C2×#168402912
C22×#145197372
#214500822
#214500592
#214499602
#214498762
#214498532
#214497752
#214497522
#214496362
#214495622
#214494822
#214493712
#214492892
#214492142
#214491892
#214491442
#214491012
#214490772
#214490622
C22⋊Q8×Dic612
#214483462
#214483352
#214483242
#120×Dic612
#214482612
#214482592
#214481972
C4×C22⋊C4×D612
C61×#24722
#3467061