Finite Group Databasebeta

← #29852739

Subgroups — #29852739

Order 15616.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840387C211yesmaximal, characteristic, complemented
2C2×#16840322C211yesmaximal, characteristic
3#21454119C211yesmaximal, characteristic, complemented
4#21454117C211yesmaximal, characteristic, complemented
5#21454117C211yesmaximal, characteristic, complemented
6#21454115C211yesmaximal, characteristic, complemented
7#21451750C211yesmaximal, characteristic, complemented
8#21451750C211yesmaximal, characteristic, complemented
9#21451748C211yesmaximal, characteristic, complemented
10#21451746C211yesmaximal, characteristic, complemented
11#21450151C211yesmaximal, characteristic, complemented
12#21450150C211yesmaximal, characteristic, complemented
13#21450148C211yesmaximal, characteristic, complemented
14#21450147C211yesmaximal, characteristic, complemented
15#21450144C211yesmaximal, characteristic, complemented
16#21450143C211yesmaximal, characteristic, complemented
17#21450139C211yesmaximal, characteristic, complemented
18#21450138C211yesmaximal, characteristic, complemented
19#21449951C211yesmaximal, characteristic, complemented
20#21449946C211yesmaximal, characteristic, complemented
21#21449944C211yesmaximal, characteristic, complemented
22#21449942C211yesmaximal, characteristic, complemented
23#21449941C211yesmaximal, characteristic, complemented
24#21449940C211yesmaximal, characteristic, complemented
25#21449939C211yesmaximal, characteristic, complemented
26#21448395C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28C2×#16839638C211yesmaximal, characteristic, complemented
29#386×D61C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840387—28no—
36#16840322—28no—
37C2×#14519764C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40C2×#14519761C2211yescharacteristic
41C2×#14519759C2211yescharacteristic
42C2×#14519759C2211yescharacteristic
43C2×#14519758C2211yescharacteristic
44C2×#14519757C2211yescharacteristic, complemented
45C2×#14519757C2211yescharacteristic, complemented
46C2×#14519756C2211yescharacteristic, complemented
47C2×#14519755C2211yescharacteristic, complemented
48C2×#14519755C2211yescharacteristic, complemented
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519755C2211yescharacteristic, complemented
51C2×#14519754C2211yescharacteristic, complemented
52C2×#14519754C2211yescharacteristic, complemented
53C2×#14519753C2211yescharacteristic, complemented
54C2×#14519753C2211yescharacteristic, complemented
55C2×#14519750C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519748C2211yescharacteristic
58C2×#14519748C2211yescharacteristic
59C2×#14519746C2211yescharacteristic
60C2×#14519745C2211yescharacteristic
61C2×#14519745C2211yescharacteristic
62C22×C22⋊Dic61C2211yescharacteristic, complemented
63C22×#11758198C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65C2×C22⋊C4×D61C2211yescharacteristic
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic, complemented
68C2×C22⋊C4×D61C2211yescharacteristic, complemented
69C2×C42×D61C2211yescharacteristic, complemented
70C2×C42×D61C2211yescharacteristic, complemented
71#16839704C2211yescharacteristic, complemented
72#16839704C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839702C2211yescharacteristic, complemented
76#16839702C2211yescharacteristic, complemented
77#16839701C2211yescharacteristic, complemented
78#16839701C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839689C2211yescharacteristic, complemented
84#16839688C2211yescharacteristic, complemented
85#16839687C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic, complemented
87#16839678C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic, complemented
90#16839676C2211yescharacteristic, complemented
91#16839676C2211yescharacteristic, complemented
92#16839675C2211yescharacteristic, complemented
93#16839674C2211yescharacteristic, complemented
94#16839674C2211yescharacteristic, complemented
95#16839674C2211yescharacteristic, complemented
96#16839674C2211yescharacteristic, complemented
97#16839674C2211yescharacteristic, complemented
98#16839673C2211yescharacteristic, complemented
99#16839669C2211yescharacteristic, complemented
100#16839668C2211yescharacteristic, complemented
101#16839666C2211yescharacteristic, complemented
102#16839666C2211yescharacteristic, complemented
103#16839665C2211yescharacteristic, complemented
104#16839662C2211yescharacteristic, complemented
105#16839662C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839655C2211yescharacteristic, complemented
111#16839655C2211yescharacteristic, complemented
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839652C2211yescharacteristic, complemented
115#16839652C2211yescharacteristic, complemented
116#16839650C2211yescharacteristic, complemented
117#16839650C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839642C2211yescharacteristic
121#16839642C2211yescharacteristic
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839639C2211yescharacteristic
129#16839639C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic, complemented
139#16839638C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839628C2211yescharacteristic, complemented
151#16839627C2211yescharacteristic, complemented
152#16839626C2211yescharacteristic, complemented
153#16839626C2211yescharacteristic, complemented
154#16839624C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic, complemented
156#16839623C2211yescharacteristic, complemented
157#16839623C2211yescharacteristic, complemented
158#16839618C2211yescharacteristic, complemented
159#16839617C2211yescharacteristic, complemented
160#16839617C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C4×#11758198C2211yescharacteristic, complemented
164C4×#11758198C2211yescharacteristic, complemented
165C4×C22⋊Dic61C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168C2×#14519684C2211yescharacteristic, complemented
169C2×#14519684C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#124×C61C2211yescharacteristic, complemented
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C2×#120×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic, complemented
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, complemented
188C4×C22⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61—24no—
196C22×C22⋊D61—24no—
197C22×C22⋊D61—24no—
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C2×D4×D61—24no—
207C2×D4×D61—24no—
208C2×D4×D61—24no—
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61—24no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519764—42no—
227#14519763—42no—
228#14519763—42no—
229#14519761—24no—
230#14519759—24no—
231#14519759—24no—
232#14519758—24no—
233#14519757—24no—
234#14519757—24no—
235#14519756—24no—
236#14519755—24no—
237#14519755—24no—
238#14519755—24no—
239#14519755—24no—
240#14519754—24no—
241#14519754—24no—
242#14519753—24no—
243#14519753—24no—
244#14519750—24no—
245#14519750—24no—
246#14519748—24no—
247#14519748—24no—
248#14519746—24no—
249#14519745—24no—
250#14519745—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×C22⋊Dic61—42no—
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
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×#11758198—24no—
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
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
305C22⋊C4×D61—24no—
306C22⋊C4×D61—24no—
307C22⋊C4×D61—42no—
308C22⋊C4×D61—42no—
309C22⋊C4×D61D418yes—
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C42×D61—42no—
317C42×D61—42no—
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
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—42no—
360C22⋊Q8×C61—24no—
361#120×C61—24no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61—42no—
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—41no—
395C24×C61—41no—
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—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61—41no—
412C23×D61—41no—
413C23×D61C2×D414yes—
414C23×D61#4114yes—
415C23×D61#4114yes—
416C23×D61C2411yescharacteristic
417C23×D61C2411yescharacteristic
418C23×D61C2411yescharacteristic
419C2×Q8×C61—22no—
420C2×Q8×C61—41no—
421C2×Q8×C61—41no—
422C2×D4×C61—22no—
423C2×D4×C61—22no—
424C2×D4×C61—22no—
425C2×D4×C61—22no—
426C2×D4×C61—22no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C22×C4×C61—22no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—416no—
473C22×Dic61—22no—
474C22×Dic61—22no—
475C22×Dic61—22no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—22no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495D4×D61—416no—
496C2×D244—22no—
497C2×D244—22no—
498C2×D244—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—416no—
515C2×C4×D61—41no—
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×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61C2×D414yes—
532C2×C4×D61C2×D414yes—
533C2×Dic122—22no—
534C2×Dic122—22no—
535C2×Dic122—22no—
536C2×Dic122—41no—
537C2×Dic122—41no—
538C2×Dic122—41no—
539C2×Dic122—41no—
540C2×Dic122—41no—
541C2×Dic122—41no—
542C4⋊C4×C61—22no—
543C4⋊C4×C61—22no—
544C4⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61C2×D414yes—
562C42×C61—22no—
563C42×C61—41no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
581C22⋊Dic61—41no—
582C22⋊Dic61C2×D414yes—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—22no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198C2×D414yes—
602#11758198C2×D414yes—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—22no—
607C4⋊Dic61—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616C4×Dic61—22no—
617C4×Dic61—22no—
618C4×Dic61—22no—
619C4×Dic61—41no—
620C4×Dic61—41no—
621C4×Dic61—41no—
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—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—44no—
648C23×C61—44no—
649C23×C61—44no—
650C23×C61—82no—
651C23×C61—82no—
652C23×C61—82no—
653C23×C61—82no—
654C23×C61C22×D412yes—
655C23×C61C2×#4112yes—
656C23×C61C2×#4112yes—
657C23×C61C2511yescharacteristic
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—44no—
678C22×D61—44no—
679C22×D61—44no—
680C22×D61—44no—
681C22×D61—44no—
682C22×D61—82no—
683C22×D61—82no—
684C22×D61—82no—
685C22×D61—82no—
686C22×D61#124116yescomplemented
687C22×D61C22×D412yes—
688C22×D61C22×D412yes—
689C22×D61C2×#4112yes—
690C22×D61C2×#4112yes—
691C22×D61C2×#4112yes—
692C22×D61C2×#4112yes—
693Q8×C61—82no—
694D4×C61—44no—
695D4×C61—82no—
696D4×C61—82no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—44no—
728C2×C4×C61—82no—
729C2×C4×C61C22×D412yes—
730C2×C4×C61C22×D412yes—
731C2×C4×C61H(5,𝔽2)12yes—
732C22⋊D61—44no—
733C22⋊D61—44no—
734C22⋊D61—44no—
735C22⋊D61—44no—
736C22⋊D61—44no—
737C22⋊D61—44no—
738C22⋊D61—82no—
739C22⋊D61—82no—
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—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—44no—
777C2×Dic61—44no—
778C2×Dic61—82no—
779C2×Dic61C22×D412yes—
780C2×Dic61C22×D412yes—
781C2×Dic61H(5,𝔽2)12yes—
782D244—44no—
783C4×D61—28no—
784C4×D61—44no—
785C4×D61—44no—
786C4×D61—44no—
787C4×D61—44no—
788C4×D61—44no—
789C4×D61—44no—
790C4×D61—44no—
791C4×D61—44no—
792C4×D61—82no—
793C4×D61—82no—
794Dic122—82no—
795Dic122—82no—
796Dic122—82no—
797#34993—611nomaximal, Sylow
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—22no—
802C22×C61—22no—
803C22×C61—22no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—88no—
826C22×C61C2×#12414yes—
827C22×C61C23×D411yescharacteristic
828C22×C61C22×#4111yescharacteristic
829C22×C61C22×#4111yescharacteristic
830C22×C61C2×H(5,𝔽2)11yescharacteristic
831C22×C61C2×H(5,𝔽2)11yescharacteristic
832C22×C61#58511yescharacteristic
833C22×C61#58511yescharacteristic
834C2×D61—22no—
835C2×D61—22no—
836C2×D61—22no—
837C2×D61—22no—
838C2×D61—22no—
839C2×D61—22no—
840C2×D61—22no—
841C2×D61—22no—
842C2×D61—22no—
843C2×D61—22no—
844C2×D61—22no—
845C2×D61—22no—
846C2×D61—416no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—88no—
855C2×D61C2×#12414yes—
856C2×D61C2×#12414yes—
857C4×C61—22no—
858C4×C61—22no—
859C4×C61—22no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868Dic61—22no—
869Dic61—22no—
870Dic61—22no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881C2×#543—611no—
882C2×#534—611no—
883#2850—611no—
884#2850—611no—
885#2850—611no—
886#2850—611no—
887#2639—611no—
888#2639—611no—
889#2639—611no—
890#2639—611no—
891#2488—611no—
892#2488—611no—
893#2488—611no—
894#2488—611no—
895#2488—611no—
896#2488—611no—
897#2488—611no—
898#2488—611no—
899#2472—611no—
900#2472—611no—
901#2472—611no—
902#2472—611no—
903#2472—611no—
904#2472—611no—
905#2472—611no—
906#2472D6111yescharacteristic, complemented
907#2308—611no—
908#2308—611no—
909C2×#386—611no—
910C2×#386—611no—
911C2×C4×C22⋊C4—611no—
912C2×C61—24no—
913C2×C61—81no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61C22×#12411yescharacteristic
917C2×C61#345911yescharacteristic
918C2×C61#345911yescharacteristic
919C2×C61#349011yescharacteristic
920C2×C61#349111yescharacteristic
921C2×C61#349611yescharacteristic
922C2×C61#349611yescharacteristic
923D61—24no—
924D61—24no—
925D61—81no—
926C23×D4—611no—
927C23×D4—611no—
928C24×C4—611no—
929#543—1228no—
930#534—1228no—
931C2×#124—611no—
932C2×#124—611no—
933C2×#124—611no—
934C2×#124C2×D6111yescharacteristic, complemented
935C2×#123—611no—
936C2×#123—611no—
937C2×#123—611no—
938C2×#123—611no—
939C2×C22⋊Q8—611no—
940C2×C22⋊Q8—611no—
941C2×C22⋊Q8—611no—
942C2×C22⋊Q8—611no—
943C2×C22⋊Q8—611no—
944C2×C22⋊Q8—611no—
945C2×C22⋊Q8—611no—
946C2×C22⋊Q8—611no—
947C2×C22⋊Q8—611no—
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8—611no—
950C2×C22⋊Q8C2×D6111yescharacteristic, complemented
951C2×#121—611no—
952C2×#121—611no—
953C2×#121—611no—
954C2×#121—611no—
955C2×#120—611no—
956C2×#120—611no—
957C2×#120—611no—
958C2×#120C2×D6111yescharacteristic
959C22×C22⋊C4—611no—
960C22×C22⋊C4—611no—
961C22×C22⋊C4—611no—
962C22×C22⋊C4—611no—
963C22×C22⋊C4—611no—
964C22×C22⋊C4—611no—
965C22×C22⋊C4—611no—
966C22×C22⋊C4C2×D6111yescharacteristic, complemented
967C22×C42—611no—
968C22×C42—611no—
969#400—611no—
970#400—611no—
971#400—611no—
972#400—611no—
973#400—611no—
974#400—611no—
975#400—611no—
976#400—611no—
977#397—611no—
978#397—611no—
979#397—611no—
980#397—611no—
981#397—611no—
982#397—611no—
983#397—611no—
984#397C2×D6111yescharacteristic, complemented
985#394—611no—
986#394—611no—
987#394—611no—
988#394—611no—
989#394—611no—
990#394—611no—
991#394C2×D6111yescharacteristic, complemented
992#394C2×D6111yescharacteristic, complemented
993#393—611no—
994#393—611no—
995#393—611no—
996#393—611no—
997#393—611no—
998#393—611no—
999#393—611no—
1000#393C2×D6111yescharacteristic, complemented
1001#391—611no—
1002#391—611no—
1003#391—611no—
1004#391—611no—
1005#390—611no—
1006#390—611no—
1007#390—611no—
1008#390C2×D6111yescharacteristic, complemented
1009#388—611no—
1010#388—611no—
1011#388—611no—
1012#388—611no—
1013#388—611no—
1014#388—611no—
1015#388—611no—
1016#388—611no—
1017#388—611no—
1018#388—611no—
1019#388—611no—
1020#388—611no—
1021#388—611no—
1022#388—611no—
1023#388C2×D6111yescharacteristic, complemented
1024#388C2×D6111yescharacteristic, complemented
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#386—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386C2×D6111yescharacteristic
1056#386C2×D6111yescharacteristic
1057#382—611no—
1058#382—611no—
1059#382—611no—
1060#382—611no—
1061#381—611no—
1062#381—611no—
1063#381—611no—
1064#381—611no—
1065#379—611no—
1066#379—611no—
1067#379—611no—
1068#379C2×D6111yescharacteristic, complemented
1069C4×C22⋊C4—611no—
1070C4×C22⋊C4—611no—
1071C4×C22⋊C4—611no—
1072C4×C22⋊C4—611no—
1073C4×C22⋊C4—611no—
1074C4×C22⋊C4—611no—
1075C4×C22⋊C4—611no—
1076C4×C22⋊C4C2×D6111yescharacteristic, complemented
1077C2×#95—611no—
1078C2×#95—611no—
1079C2×#95—611no—
1080C2×#95—611no—
1081C2×#95—611no—
1082C2×#95—611no—
1083C61#3499311yescharacteristic, complemented, Sylow
1084C25—611no—
1085C25—611no—
1086C25C22×D6111yescharacteristic
1087C22×Q8—611no—
1088C22×Q8—611no—
1089C22×Q8—611no—
1090C22×Q8C22×D6111yescharacteristic
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1224no—
1101C22×D4—1224no—
1102C22×D4—1224no—
1103C22×D4—1224no—
1104C22×D4—1224no—
1105C22×D4—1224no—
1106C22×D4C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—611no—
1123C23×C4—1224no—
1124C23×C4—2442no—
1125C23×C4—2442no—
1126C23×C4C22×D6111yescharacteristic
1127C23×C4C22×D6111yescharacteristic
1128#124—42no—
1129#124—2442no—
1130#124—2442no—
1131#124—2442no—
1132#123—1224no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136C22⋊Q8—24no—
1137C22⋊Q8—1224no—
1138C22⋊Q8—1224no—
1139C22⋊Q8—1224no—
1140C22⋊Q8—1224no—
1141C22⋊Q8—1224no—
1142C22⋊Q8—1224no—
1143C22⋊Q8—1224no—
1144C22⋊Q8—1224no—
1145C22⋊Q8—1224no—
1146C22⋊Q8—1224no—
1147C22⋊Q8—1224no—
1148#121—1224no—
1149#121—1224no—
1150#121—1224no—
1151#121—1224no—
1152#120—24no—
1153#120—1224no—
1154#120—1224no—
1155#120—1224no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4C22×D6111yescharacteristic
1170C2×C4⋊C4C22×D6111yescharacteristic
1171C2×C4⋊C4C22×D6111yescharacteristic
1172C2×C22⋊C4—42no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—618no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—1224no—
1214C2×C22⋊C4—1224no—
1215C2×C22⋊C4—1224no—
1216C2×C22⋊C4—2442no—
1217C2×C22⋊C4—2442no—
1218C2×C22⋊C4—2442no—
1219C2×C22⋊C4C22×D6111yescharacteristic
1220C2×C22⋊C4C22×D6111yescharacteristic
1221C2×C22⋊C4C22×D6111yescharacteristic
1222C2×C22⋊C4C22×D6111yescharacteristic
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4C22×D6111yescharacteristic
1226C2×C22⋊C4C22×D6111yescharacteristic
1227C2×C22⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4C22×D6111yescharacteristic
1229C2×C22⋊C4C22×D6111yescharacteristic
1230C2×C22⋊C4C22×D6111yescharacteristic
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4C22×D6111yescharacteristic
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—611no—
1241C2×C42—611no—
1242C2×C42—2442no—
1243C2×C42—2442no—
1244C2×C42C22×D6111yescharacteristic
1245C2×C42C22×D6111yescharacteristic
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95C22×D6111yescharacteristic
1281#95C22×D6111yescharacteristic
1282#95C22×D6111yescharacteristic
1283#95C22×D6111yescharacteristic
1284#95C22×D6111yescharacteristic
1285#95C22×D6111yescharacteristic
1286C24—22no—
1287C24—22no—
1288C24—22no—
1289C24—41no—
1290C24—41no—
1291C24—41no—
1292C24—41no—
1293C24—611no—
1294C24—611no—
1295C24—614no—
1296C24—614no—
1297C24—614no—
1298C24—611no—
1299C24—1222no—
1300C24—1222no—
1301C24—1222no—
1302C24—2441no—
1303C24—2441no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24—2441no—
1308C24—2441no—
1309C24—2441no—
1310C24C23×D6111yescharacteristic
1311C24C23×D6111yescharacteristic
1312C24C23×D6111yescharacteristic
1313C24C23×D6111yescharacteristic
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—1222no—
1318C2×Q8—1222no—
1319C2×Q8—1222no—
1320C2×Q8—2441no—
1321C2×Q8—2441no—
1322C2×Q8—2441no—
1323C2×Q8—2441no—
1324C2×Q8—2441no—
1325C2×Q8—2441no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—1222no—
1354C2×D4—1222no—
1355C2×D4—1222no—
1356C2×D4—1222no—
1357C2×D4—1222no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—24416no—
1363C2×D4—24416no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—614no—
1374C22×C4—614no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
1380C22×C4—611no—
1381C22×C4—611no—
1382C22×C4—611no—
1383C22×C4—611no—
1384C22×C4—611no—
1385C22×C4—1222no—
1386C22×C4—1222no—
1387C22×C4—1222no—
1388C22×C4—1222no—
1389C22×C4—1222no—
1390C22×C4—1222no—
1391C22×C4—1222no—
1392C22×C4—1222no—
1393C22×C4—1222no—
1394C22×C4—1222no—
1395C22×C4—1222no—
1396C22×C4—1222no—
1397C22×C4—1222no—
1398C22×C4—1222no—
1399C22×C4—1222no—
1400C22×C4—1222no—
1401C22×C4—1222no—
1402C22×C4—1222no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—1222no—
1406C22×C4—2441no—
1407C22×C4—2441no—
1408C22×C4—2441no—
1409C22×C4—2441no—
1410C22×C4—2441no—
1411C22×C4—2441no—
1412C22×C4—2441no—
1413C22×C4—2441no—
1414C22×C4—2441no—
1415C22×C4—2441no—
1416C22×C4—2441no—
1417C22×C4—2441no—
1418C22×C4—2441no—
1419C22×C4—2441no—
1420C22×C4—2441no—
1421C22×C4—2441no—
1422C22×C4—24416no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4—2441no—
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C22×C4C23×D6111yescharacteristic
1435C22×C4C23×D6111yescharacteristic
1436C22×C4C23×D6111yescharacteristic
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—1222no—
1441C4⋊C4—1222no—
1442C4⋊C4—1222no—
1443C4⋊C4—1222no—
1444C4⋊C4—1222no—
1445C4⋊C4—1222no—
1446C4⋊C4—1222no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—1222no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—614no—
1470C22⋊C4—614no—
1471C22⋊C4—614no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C22⋊C4—2441no—
1499C22⋊C4—2441no—
1500C22⋊C4—2441no—
1501C22⋊C4—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
1505C22⋊C4—2441no—
1506C22⋊C4—2441no—
1507C22⋊C4—2441no—
1508C22⋊C4D4×D6114yes—
1509C42—22no—
1510C42—41no—
1511C42—1222no—
1512C42—1222no—
1513C42—1222no—
1514C42—2441no—
1515C42—2441no—
1516C42—2441no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—82no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—612no—
1550C23—612no—
1551C23—612no—
1552C23—612no—
1553C23—612no—
1554C23—612no—
1555C23—6116no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—4882no—
1572C23—4882no—
1573C23—4882no—
1574C23—4882no—
1575C23—2444no—
1576C23—2444no—
1577C23—2444no—
1578C23—2444no—
1579C23—2444no—
1580C23—2444no—
1581C23—2444no—
1582C23—2444no—
1583C23—2444no—
1584C23C2×D4×D6112yes—
1585C23#41×D6112yes—
1586C23#41×D6112yes—
1587C23C24×D6111yescharacteristic
1588Q8—82no—
1589Q8—4882no—
1590Q8—4882no—
1591Q8—4882no—
1592D4—44no—
1593D4—82no—
1594D4—82no—
1595D4—4882no—
1596D4—4882no—
1597D4—2444no—
1598D4—2444no—
1599D4—2444no—
1600D4—2444no—
1601D4—2444no—
1602D4—2444no—
1603D4—2444no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—612no—
1637C2×C4—612no—
1638C2×C4—612no—
1639C2×C4—1228no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—4882no—
1677C2×C4—4882no—
1678C2×C4—4882no—
1679C2×C4—2444no—
1680C2×C4—2444no—
1681C2×C4—2444no—
1682C2×C4—2444no—
1683C2×C4—2444no—
1684C2×C4—2444no—
1685C2×C4—2444no—
1686C2×C4—2444no—
1687C2×C4—2444no—
1688C2×C4—2444no—
1689C2×C4C2×D4×D6112yes—
1690C2×C4C2×D4×D6112yes—
1691C2×C4#1451982212yes—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—88no—
1720C22—614no—
1721C22—614no—
1722C22—1222no—
1723C22—1222no—
1724C22—1222no—
1725C22—1222no—
1726C22—1222no—
1727C22—1222no—
1728C22—1222no—
1729C22—1222no—
1730C22—1222no—
1731C22—1222no—
1732C22—1222no—
1733C22—1222no—
1734C22—4888no—
1735C22—24416no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22#124×D6114yes—
1744C22C22×D4×D6111yescharacteristic
1745C22C2×#41×D6111yescharacteristic
1746C22C2×#41×D6111yescharacteristic
1747C22H(5,𝔽2)×D6111yescharacteristic
1748C22C2×#1451982211yescharacteristic
1749C22#1684059711yescharacteristic
1750C22#1684059811yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—1222no—
1763C4—1222no—
1764C4—1222no—
1765C4—2441no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4—2441no—
1774C4—2441no—
1775C2—24no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—1224no—
1780C2—1224no—
1781C2—4881no—
1782C2C2×#124×D6111yescharacteristic
1783C2#2145922611yescharacteristic
1784C2#2145923011yescharacteristic
1785C2#2145950111yescharacteristic
1786C2#2145951011yescharacteristic
1787C2#2145957511yescharacteristic
1788C2#2145957911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2472C2
prime radicalC2×#16840322C2
hypercenter#2472D61
hypocenterC61#34993
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#16840387C2semidirect
3. #21454119C2semidirect
4. #21454117C2semidirect
5. #21454117C2semidirect
6. #21454115C2semidirect
7. #21451750C2semidirect
8. #21451750C2semidirect
9. #21451748C2semidirect
10. #21451746C2semidirect
11. #21450151C2semidirect
12. #21450150C2semidirect
13. #21450148C2semidirect
14. #21450147C2semidirect
15. #21450144C2semidirect
16. #21450143C2semidirect
17. #21450139C2semidirect
18. #21450138C2semidirect
19. #21449951C2semidirect
20. #21449946C2semidirect
21. #21449944C2semidirect
22. #21449942C2semidirect
23. #21449941C2semidirect
24. #21449940C2semidirect
25. #21449939C2semidirect
26. #21448395C2semidirect
27. #21448393C2semidirect
28. C2×#16839638C2semidirect
29. #386×D61C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2472C2semidirect
37. C2×#14519764C22semidirect
38. C2×#14519763C22semidirect
39. C2×#14519763C22semidirect
44. C2×#14519757C22semidirect
45. C2×#14519757C22semidirect
46. C2×#14519756C22semidirect
47. C2×#14519755C22semidirect
48. C2×#14519755C22semidirect
49. C2×#14519755C22semidirect
50. C2×#14519755C22semidirect
51. C2×#14519754C22semidirect
52. C2×#14519754C22semidirect
53. C2×#14519753C22semidirect
54. C2×#14519753C22semidirect
62. C22×C22⋊Dic61C22semidirect
67. C2×C22⋊C4×D61C22semidirect
68. C2×C22⋊C4×D61C22semidirect
69. C2×C42×D61C22semidirect
70. C2×C42×D61C22semidirect
71. #16839704C22semidirect
72. #16839704C22semidirect
73. #16839703C22semidirect
74. #16839703C22semidirect
75. #16839702C22semidirect
76. #16839702C22semidirect
77. #16839701C22semidirect
78. #16839701C22semidirect
79. #16839690C22semidirect
80. #16839690C22semidirect
81. #16839690C22semidirect
82. #16839690C22semidirect
83. #16839689C22semidirect
84. #16839688C22semidirect
85. #16839687C22semidirect
86. #16839678C22semidirect
87. #16839678C22semidirect
88. #16839677C22semidirect
89. #16839677C22semidirect
90. #16839676C22semidirect
91. #16839676C22semidirect
92. #16839675C22semidirect
93. #16839674C22semidirect
94. #16839674C22semidirect
95. #16839674C22semidirect
96. #16839674C22semidirect
97. #16839674C22semidirect
98. #16839673C22semidirect
99. #16839669C22semidirect
100. #16839668C22semidirect
101. #16839666C22semidirect
102. #16839666C22semidirect
103. #16839665C22semidirect
104. #16839662C22semidirect
105. #16839662C22semidirect
106. #16839656C22semidirect
107. #16839656C22semidirect
108. #16839655C22semidirect
109. #16839655C22semidirect
110. #16839655C22semidirect
111. #16839655C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
114. #16839652C22semidirect
115. #16839652C22semidirect
116. #16839650C22semidirect
117. #16839650C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
138. #16839638C22semidirect
139. #16839638C22semidirect
140. #16839638C22semidirect
141. #16839638C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839628C22semidirect
151. #16839627C22semidirect
152. #16839626C22semidirect
153. #16839626C22semidirect
154. #16839624C22semidirect
155. #16839624C22semidirect
156. #16839623C22semidirect
157. #16839623C22semidirect
158. #16839618C22semidirect
159. #16839617C22semidirect
160. #16839617C22semidirect
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C4×#11758198C22semidirect
164. C4×#11758198C22semidirect
165. C4×C22⋊Dic61C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. C2×#14519684C22semidirect
169. C2×#14519684C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. C2×#124×C61C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
177. C22×C22⋊C4×C61C22semidirect
178. C61×#397C22semidirect
179. C61×#394C22semidirect
180. C61×#394C22semidirect
181. C61×#393C22semidirect
182. C61×#390C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
187. C61×#379C22semidirect
188. C4×C22⋊C4×C61C22semidirect
686. C22×D61#124semidirect
906. #2472D61semidirect
934. C2×#124C2×D61semidirect
950. C2×C22⋊Q8C2×D61semidirect
966. C22×C22⋊C4C2×D61semidirect
984. #397C2×D61semidirect
991. #394C2×D61semidirect
992. #394C2×D61semidirect
1000. #393C2×D61semidirect
1008. #390C2×D61semidirect
1023. #388C2×D61semidirect
1024. #388C2×D61semidirect
1068. #379C2×D61semidirect
1076. C4×C22⋊C4C2×D61semidirect
1083. C61#34993semidirect

Maximal subgroups

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

subgroupindex
C2×#168403872
C2×#168403222
#214541192
#214541172
#214541152
#214517502
#214517482
#214517462
#214501512
#214501502
#214501482
#214501472
#214501442
#214501432
#214501392
#214501382
#214499512
#214499462
#214499442
#214499422
#214499412
#214499402
#214499392
#214483952
#214483932
C2×#168396382
#386×D612
C4×C22⋊C4×D612
C61×#24722
#3499361