Finite Group Databasebeta

← C2×#22574862 #31763374

Subgroups — C2×#22574862 #31763374

Order 17152.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574862C2132yesmaximal, direct product factor
2C2×#16864148C211yesmaximal, characteristic, complemented
3C2×#16864141C211yesmaximal, characteristic, complemented
4C2×#16864141C211yesmaximal, characteristic, complemented
5C2×#16864134C211yesmaximal, characteristic, complemented
6C2×#16864130C211yesmaximal, characteristic, complemented
7C2×#16864116C211yesmaximal, characteristic, complemented
8C2×#16864110C211yesmaximal, characteristic, complemented
9C2×#16864096C211yesmaximal, characteristic, complemented
10C2×#16864095C211yesmaximal, characteristic, complemented
11C2×#16864081C211yesmaximal, characteristic, complemented
12C2×#16864079C211yesmaximal, characteristic, complemented
13C2×#16864078C211yesmaximal, characteristic, complemented
14C2×#16864075C211yesmaximal, characteristic, complemented
15C2×#16864071C211yesmaximal, characteristic, complemented
16C2×#16864069C211yesmaximal, characteristic, complemented
17C2×#16864017C211yesmaximal, characteristic, complemented
18C2×#16864012C211yesmaximal, characteristic, complemented
19C2×#16864011C211yesmaximal, characteristic, complemented
20C2×#16864005C211yesmaximal, characteristic, complemented
21C2×#16864003C211yesmaximal, characteristic, complemented
22C2×#16863999C211yesmaximal, characteristic, complemented
23C2×#16863993C211yesmaximal, characteristic, complemented
24C2×#16863991C211yesmaximal, characteristic, complemented
25C2×#16863989C211yesmaximal, characteristic, complemented
26C2×#16863979C211yesmaximal, characteristic, complemented
27C2×#16863978C211yesmaximal, characteristic, complemented
28C2×#16863978C211yesmaximal, characteristic, complemented
29C2×#16863926C211yesmaximal, characteristic, complemented
30C2×#16863926C211yesmaximal, characteristic, complemented
31C2×#16863923C211yesmaximal, characteristic, complemented
32C2×#553×C67C211yesmaximal, characteristic, complemented
33#16864148C22116yescomplemented
34#16864141C22116yescomplemented
35#16864141C22116yescomplemented
36#16864134C22116yescomplemented
37#16864130C22116yescomplemented
38#16864116C22116yescomplemented
39#16864110C22116yescomplemented
40#16864096C22116yescomplemented
41#16864095C22116yescomplemented
42#16864081C22116yescomplemented
43#16864079C22116yescomplemented
44#16864078C22116yescomplemented
45#16864075C22116yescomplemented
46#16864071C22116yescomplemented
47#16864069C22116yescomplemented
48#16864017C22116yescomplemented
49#16864012C22116yescomplemented
50#16864011C22116yescomplemented
51#16864005C22116yescomplemented
52#16864003C22116yescomplemented
53#16863999C22116yescomplemented
54#16863993C22116yescomplemented
55#16863991C22116yescomplemented
56#16863989C22116yescomplemented
57#16863979C22116yescomplemented
58#16863978C22116yescomplemented
59#16863978C22116yescomplemented
60C2×#14524043C2211yescharacteristic, complemented
61C2×#14524042C2211yescharacteristic, complemented
62C2×#14524042C2211yescharacteristic, complemented
63C2×#14524039C2211yescharacteristic
64#16863926C22116yescomplemented
65#16863926C22116yescomplemented
66#16863923C22116yescomplemented
67C2×#14524038C2211yescharacteristic
68C2×#14524038C2211yescharacteristic
69C2×#14524038C2211yescharacteristic
70C2×#14524038C2211yescharacteristic
71C2×#14524038C2211yescharacteristic
72C2×#14524038C2211yescharacteristic
73C2×#14524038C2211yescharacteristic
74C2×#14524038C2211yescharacteristic, complemented
75C2×#14524037C2211yescharacteristic
76C2×#14524037C2211yescharacteristic
77C2×#14524036C2211yescharacteristic
78C2×#14524036C2211yescharacteristic
79C2×#14524036C2211yescharacteristic
80C2×#14524036C2211yescharacteristic
81C2×#14524036C2211yescharacteristic, complemented
82C2×#14524036C2211yescharacteristic, complemented
83C2×#14524036C2211yescharacteristic, complemented
84C2×#14524036C2211yescharacteristic, complemented
85C2×#14524035C2211yescharacteristic, complemented
86C2×#14524034C2211yescharacteristic, complemented
87C2×#14524034C2211yescharacteristic, complemented
88C2×#14524033C2211yescharacteristic, complemented
89C2×#14524033C2211yescharacteristic, complemented
90C2×#14524033C2211yescharacteristic, complemented
91C2×#14524033C2211yescharacteristic, complemented
92C2×#14524033C2211yescharacteristic, complemented
93C2×#14524033C2211yescharacteristic, complemented
94C2×#14524033C2211yescharacteristic, complemented
95C2×#14524033C2211yescharacteristic, complemented
96C2×#14524031C2211yescharacteristic
97C2×#14524030C2211yescharacteristic
98C2×#14524030C2211yescharacteristic
99C2×#14524030C2211yescharacteristic, complemented
100C2×#14524029C2211yescharacteristic
101C2×#14524029C2211yescharacteristic
102C2×#14524029C2211yescharacteristic
103C2×#14524029C2211yescharacteristic
104C2×#14524029C2211yescharacteristic
105C2×#14524029C2211yescharacteristic
106C2×#14524029C2211yescharacteristic, complemented
107C2×#14524029C2211yescharacteristic, complemented
108C2×#14524028C2211yescharacteristic
109C2×#14524028C2211yescharacteristic
110C2×#14524028C2211yescharacteristic
111C2×#14524028C2211yescharacteristic
112C2×#14524027C2211yescharacteristic
113C2×#14524027C2211yescharacteristic
114C2×#14524027C2211yescharacteristic, complemented
115C2×#14524026C2211yescharacteristic
116C2×#14524026C2211yescharacteristic
117C2×#14524026C2211yescharacteristic
118C2×#14524026C2211yescharacteristic
119C2×#14524026C2211yescharacteristic
120C2×#14524026C2211yescharacteristic, complemented
121C2×#14524025C2211yescharacteristic
122C2×#14524025C2211yescharacteristic
123C2×#14524025C2211yescharacteristic
124C2×#14524025C2211yescharacteristic, complemented
125C2×#14524024C2211yescharacteristic
126C2×#14524024C2211yescharacteristic
127C2×#14524024C2211yescharacteristic
128C2×#14524024C2211yescharacteristic, complemented
129C2×#14524024C2211yescharacteristic, complemented
130C2×#14524023C2211yescharacteristic
131C2×#14524023C2211yescharacteristic
132C2×#14524022C2211yescharacteristic
133C2×#14524022C2211yescharacteristic, complemented
134C2×#14524022C2211yescharacteristic, complemented
135C2×#14524022C2211yescharacteristic, complemented
136C2×#14524021C2211yescharacteristic
137C2×#14524021C2211yescharacteristic
138C2×#14524021C2211yescharacteristic
139C2×#14524021C2211yescharacteristic
140C2×#14524021C2211yescharacteristic, complemented
141C2×#14524021C2211yescharacteristic, complemented
142C2×#14524020C2211yescharacteristic
143C2×#14524020C2211yescharacteristic
144C2×#14524020C2211yescharacteristic, complemented
145C2×#14524020C2211yescharacteristic, complemented
146C2×#14524020C2211yescharacteristic, complemented
147C2×#14524020C2211yescharacteristic, complemented
148C2×#14524017C2211yescharacteristic
149C2×#14524017C2211yescharacteristic
150C2×#14524016C2211yescharacteristic
151C2×#14524016C2211yescharacteristic
152C2×#14524015C2211yescharacteristic
153C2×#14524015C2211yescharacteristic
154C2×#14524015C2211yescharacteristic
155C2×#14524015C2211yescharacteristic
156C2×#14524015C2211yescharacteristic
157C2×#14524015C2211yescharacteristic, complemented
158C2×#14524014C2211yescharacteristic
159C2×#14524014C2211yescharacteristic
160C2×#14524014C2211yescharacteristic
161C2×#14524014C2211yescharacteristic, complemented
162C2×#14524013C2211yescharacteristic
163C2×#14524011C2211yescharacteristic
164C2×#14524011C2211yescharacteristic
165C2×#14524011C2211yescharacteristic
166C2×C4×Dic134C2211yescharacteristic, complemented
167C2×C4×Dic134C2211yescharacteristic, complemented
168C2×C4×Dic134C2211yescharacteristic, complemented
169C2×#14524008C2211yescharacteristic, complemented
170C2×#14524008C2211yescharacteristic, complemented
171C2×#14524008C2211yescharacteristic, complemented
172C2×C4×D268C2211yescharacteristic
173C2×D4×Dic67C2211yescharacteristic
174C2×D4×Dic67C2211yescharacteristic, complemented
175C2×#14524005C2211yescharacteristic
176C2×C4×C22⋊D67C2211yescharacteristic
177C2×C4×C22⋊D67C2211yescharacteristic
178C2×C4×C22⋊D67C2211yescharacteristic
179C2×C4×C22⋊D67C2211yescharacteristic
180C2×C4×C22⋊D67C2211yescharacteristic, complemented
181C2×C4×C22⋊D67C2211yescharacteristic, complemented
182C2×(C22⋊D67)⋊C4C2211yescharacteristic
183C2×(C22⋊D67)⋊C4C2211yescharacteristic
184C2×(C22⋊D67)⋊C4C2211yescharacteristic
185C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
186C2×#14524002C2211yescharacteristic
187C2×#14524002C2211yescharacteristic, complemented
188C2×#14524002C2211yescharacteristic, complemented
189C2×#14524001C2211yescharacteristic
190C2×#14524001C2211yescharacteristic
191C2×#14524001C2211yescharacteristic, complemented
192C2×#14524000C2211yescharacteristic
193C2×#14524000C2211yescharacteristic
194C2×#14524000C2211yescharacteristic, complemented
195C2×#14523999C2211yescharacteristic
196C2×#14523999C2211yescharacteristic, complemented
197C22×Dic67⋊C4C2211yescharacteristic, complemented
198C2×C4⋊C4×D67C2211yescharacteristic, complemented
199C22×(C2×D67)⋊C4C2211yescharacteristic
200C2×C22⋊C4×D67C2211yescharacteristic
201C2×C22⋊C4×D67C2211yescharacteristic
202C22×C4×Dic67C2211yescharacteristic, complemented
203#553×C67C22116yescomplemented
204C2×#126×C67C2211yescharacteristic
205C2×#126×C67C2211yescharacteristic, complemented
206C2×#125×C67C2211yescharacteristic, complemented
207C2×#123×C67C2211yescharacteristic
208C2×#123×C67C2211yescharacteristic, complemented
209C2×#121×C67C2211yescharacteristic
210C2×#121×C67C2211yescharacteristic
211C2×#121×C67C2211yescharacteristic
212C2×#121×C67C2211yescharacteristic, complemented
213C2×C4×D4×C67C2211yescharacteristic
214C2×C4×D4×C67C2211yescharacteristic
215C2×C4×D4×C67C2211yescharacteristic, complemented
216C2×C4×D4×C67C2211yescharacteristic, complemented
217C2×#117×C67C2211yescharacteristic, complemented
218C22×C4⋊C4×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220C22×Dic134C2311yescharacteristic
221C22×Dic134C2311yescharacteristic
222C22×Dic134C2311yescharacteristic
223C22×Dic134C2311yescharacteristic
224C22×Dic134C2311yescharacteristic
225C22×Dic134C2311yescharacteristic
226C22×D268C2311yescharacteristic
227C22×D268C2311yescharacteristic
228C22×C22⋊D67C2311yescharacteristic
229C22×C22⋊D67C2311yescharacteristic
230C22×C22⋊D67C2311yescharacteristic
231C22×C22⋊D67C2311yescharacteristic
232C22×C22⋊D67C2311yescharacteristic
233C22×C22⋊D67C2311yescharacteristic
234C22×C22⋊D67C2311yescharacteristic
235C22×C22⋊D67C2311yescharacteristic
236C22×C22⋊D67C2311yescharacteristic
237C22×C22⋊D67C2311yescharacteristic
238C23×Dic67C2311yescharacteristic
239C23×Dic67C2311yescharacteristic
240C23×Dic67C2311yescharacteristic
241C23×Dic67C2311yescharacteristic
242C23×Dic67C2311yescharacteristic
243C22×C4×D67C2311yescharacteristic
244C22×C4×D67C2311yescharacteristic
245C22×C4×D67C2311yescharacteristic
246C22×C4×D67C2311yescharacteristic
247C22×C4×D67C2311yescharacteristic
248C22×C4×D67C2311yescharacteristic
249C22×C4×D67C2311yescharacteristic
250#14524043C2318yescomplemented
251#14524042C2318yescomplemented
252#14524042C2318yescomplemented
253#14524039C2318yes—
254#14524038C2318yes—
255#14524038C2318yes—
256#14524038C2318yes—
257#14524038C2318yes—
258#14524038C2318yes—
259#14524038C2318yes—
260#14524038C2318yes—
261#14524038C2318yescomplemented
262#14524037C2318yes—
263#14524037C2318yes—
264#14524036C2318yes—
265#14524036C2318yes—
266#14524036C2318yes—
267#14524036C2318yes—
268#14524036C2318yescomplemented
269#14524036C2318yescomplemented
270#14524036C2318yescomplemented
271#14524036C2318yescomplemented
272#14524035C2318yescomplemented
273#14524034C2318yescomplemented
274#14524034C2318yescomplemented
275#14524033C2318yescomplemented
276#14524033C2318yescomplemented
277#14524033C2318yescomplemented
278#14524033C2318yescomplemented
279#14524033C2318yescomplemented
280#14524033C2318yescomplemented
281#14524033C2318yescomplemented
282#14524033C2318yescomplemented
283#14524031C2318yes—
284#14524030C2318yes—
285#14524030C2318yes—
286#14524030C2318yescomplemented
287#14524029C2318yes—
288#14524029C2318yes—
289#14524029C2318yes—
290#14524029C2318yes—
291#14524029C2318yes—
292#14524029C2318yes—
293#14524029C2318yescomplemented
294#14524029C2318yescomplemented
295#14524028C2318yes—
296#14524028C2318yes—
297#14524028C2318yes—
298#14524028C2318yes—
299#14524027C2318yes—
300#14524027C2318yes—
301#14524027C2318yescomplemented
302#14524026C2318yes—
303#14524026C2318yes—
304#14524026C2318yes—
305#14524026C2318yes—
306#14524026C2318yes—
307#14524026C2318yescomplemented
308#14524025C2318yes—
309#14524025C2318yes—
310#14524025C2318yes—
311#14524025C2318yescomplemented
312#14524024C2318yes—
313#14524024C2318yes—
314#14524024C2318yes—
315#14524024C2318yescomplemented
316#14524024C2318yescomplemented
317#14524023C2318yes—
318#14524023C2318yes—
319#14524022C2318yes—
320#14524022C2318yescomplemented
321#14524022C2318yescomplemented
322#14524022C2318yescomplemented
323#14524021C2318yes—
324#14524021C2318yes—
325#14524021C2318yes—
326#14524021C2318yes—
327#14524021C2318yescomplemented
328#14524021C2318yescomplemented
329#14524020C2318yes—
330#14524020C2318yes—
331#14524020C2318yescomplemented
332#14524020C2318yescomplemented
333#14524020C2318yescomplemented
334#14524020C2318yescomplemented
335#14524017C2318yes—
336#14524017C2318yes—
337#14524016C2318yes—
338#14524016C2318yes—
339#14524015C2318yes—
340#14524015C2318yes—
341#14524015C2318yes—
342#14524015C2318yes—
343#14524015C2318yes—
344#14524015C2318yescomplemented
345#14524014C2318yes—
346#14524014C2318yes—
347#14524014C2318yes—
348#14524014C2318yescomplemented
349#14524013C2318yes—
350#14524011C2318yes—
351#14524011C2318yes—
352#14524011C2318yes—
353C4×Dic134C2318yescomplemented
354C4×Dic134C2318yescomplemented
355C4×Dic134C2318yescomplemented
356#14524008C2318yescomplemented
357#14524008C2318yescomplemented
358#14524008C2318yescomplemented
359C4×D268C2318yes—
360D4×Dic67C2318yes—
361D4×Dic67C2318yescomplemented
362#14524005C2318yes—
363C4×C22⋊D67C2318yes—
364C4×C22⋊D67C2318yes—
365C4×C22⋊D67C2318yes—
366C4×C22⋊D67C2318yes—
367C4×C22⋊D67C2318yescomplemented
368C4×C22⋊D67C2318yescomplemented
369(C22⋊D67)⋊C4C2318yes—
370(C22⋊D67)⋊C4C2318yes—
371(C22⋊D67)⋊C4C2318yes—
372(C22⋊D67)⋊C4C2318yescomplemented
373#14524002C2318yes—
374#14524002C2318yescomplemented
375#14524002C2318yescomplemented
376#14524001C2318yes—
377#14524001C2318yes—
378#14524001C2318yescomplemented
379#14524000C2318yes—
380#14524000C2318yes—
381#14524000C2318yescomplemented
382#14523999C2318yes—
383#14523999C2318yescomplemented
384C2×C4⋊Dic67C2311yescharacteristic
385C2×C4⋊Dic67C2311yescharacteristic
386C2×C4⋊Dic67C2311yescharacteristic
387C2×C4⋊Dic67C2311yescharacteristic
388C2×C4⋊Dic67C2311yescharacteristic
389C2×C4⋊Dic67C2311yescharacteristic
390C2×C4⋊Dic67C2311yescharacteristic
391C2×C4⋊Dic67C2311yescharacteristic
392C2×C4⋊Dic67C2311yescharacteristic
393C2×C4⋊Dic67C2311yescharacteristic
394C2×C4⋊Dic67C2311yescharacteristic
395C2×C4⋊Dic67C2311yescharacteristic
396C2×Dic67⋊C4C2311yescharacteristic
397C2×Dic67⋊C4C2311yescharacteristic
398C2×Dic67⋊C4C2311yescharacteristic
399C2×Dic67⋊C4C2311yescharacteristic
400C2×Dic67⋊C4C2311yescharacteristic
401C2×Dic67⋊C4C2311yescharacteristic
402C2×Dic67⋊C4C2311yescharacteristic
403C2×Dic67⋊C4C2311yescharacteristic
404C2×Dic67⋊C4C2311yescharacteristic
405C2×Dic67⋊C4C2311yescharacteristic
406C2×Dic67⋊C4C2311yescharacteristic
407C2×Dic67⋊C4C2311yescharacteristic
408C2×Dic67⋊C4C2311yescharacteristic
409C2×Dic67⋊C4C2311yescharacteristic
410C2×Dic67⋊C4C2311yescharacteristic
411C2×Dic67⋊C4C2311yescharacteristic
412C2×Dic67⋊C4C2311yescharacteristic
413C2×Dic67⋊C4C2311yescharacteristic
414C2×Dic67⋊C4C2311yescharacteristic
415C2×Dic67⋊C4C2311yescharacteristic
416C2×Dic67⋊C4C2311yescharacteristic
417C2×Dic67⋊C4C2311yescharacteristic
418C2×Dic67⋊C4C2311yescharacteristic
419C2×Dic67⋊C4C2311yescharacteristic
420C2×Dic67⋊C4C2311yescharacteristic
421C2×Dic67⋊C4C2311yescharacteristic
422C2×Dic67⋊C4C2318yescomplemented
423C4⋊C4×D67C2318yescomplemented
424C2×C22⋊Dic67C2311yescharacteristic
425C2×C22⋊Dic67C2311yescharacteristic
426C2×C22⋊Dic67C2311yescharacteristic
427C2×C22⋊Dic67C2311yescharacteristic
428C2×C22⋊Dic67C2311yescharacteristic
429C2×C22⋊Dic67C2311yescharacteristic
430C2×C22⋊Dic67C2311yescharacteristic
431C2×C22⋊Dic67C2311yescharacteristic
432C2×C22⋊Dic67C2311yescharacteristic
433C2×C22⋊Dic67C2311yescharacteristic
434C2×C22⋊Dic67C2311yescharacteristic
435C2×C22⋊Dic67C2311yescharacteristic
436C2×C22⋊Dic67C2311yescharacteristic
437C2×C22⋊Dic67C2311yescharacteristic
438C2×C22⋊Dic67C2311yescharacteristic
439C2×C22⋊Dic67C2311yescharacteristic
440C2×(C2×D67)⋊C4C2318yes—
441C2×(C2×D67)⋊C4C2311yescharacteristic
442C2×(C2×D67)⋊C4C2311yescharacteristic
443C2×(C2×D67)⋊C4C2311yescharacteristic
444C2×(C2×D67)⋊C4C2311yescharacteristic
445C2×(C2×D67)⋊C4C2311yescharacteristic
446C2×(C2×D67)⋊C4C2311yescharacteristic
447C2×(C2×D67)⋊C4C2311yescharacteristic
448C2×(C2×D67)⋊C4C2311yescharacteristic
449C2×(C2×D67)⋊C4C2311yescharacteristic
450C2×(C2×D67)⋊C4C2311yescharacteristic
451C2×(C2×D67)⋊C4C2311yescharacteristic
452C2×(C2×D67)⋊C4C2311yescharacteristic
453C2×(C2×D67)⋊C4C2311yescharacteristic
454C2×(C2×D67)⋊C4C2311yescharacteristic
455C2×(C2×D67)⋊C4C2311yescharacteristic
456C2×(C2×D67)⋊C4C2311yescharacteristic
457C2×(C2×D67)⋊C4C2311yescharacteristic
458C2×(C2×D67)⋊C4C2311yescharacteristic
459C2×(C2×D67)⋊C4C2311yescharacteristic
460C2×(C2×D67)⋊C4C2311yescharacteristic
461C2×(C2×D67)⋊C4C2311yescharacteristic
462C2×(C2×D67)⋊C4C2311yescharacteristic
463C22⋊C4×D67C2318yes—
464C22⋊C4×D67C2318yes—
465C2×C4×Dic67C2311yescharacteristic
466C2×C4×Dic67C2311yescharacteristic
467C2×C4×Dic67C2311yescharacteristic
468C2×C4×Dic67C2311yescharacteristic
469C2×C4×Dic67C2311yescharacteristic
470C2×C4×Dic67C2311yescharacteristic
471C2×C4×Dic67C2311yescharacteristic
472C2×C4×Dic67C2311yescharacteristic
473C2×C4×Dic67C2311yescharacteristic
474C2×C4×Dic67C2311yescharacteristic
475C2×C4×Dic67C2311yescharacteristic
476C2×C4×Dic67C2311yescharacteristic
477C2×C4×Dic67C2311yescharacteristic
478C2×C4×Dic67C2318yescomplemented
479C22×D4×C67C2311yescharacteristic
480C22×D4×C67C2311yescharacteristic
481C22×D4×C67C2311yescharacteristic
482C22×D4×C67C2311yescharacteristic
483C22×D4×C67C2311yescharacteristic
484C22×D4×C67C2311yescharacteristic
485C23×C4×C67C2311yescharacteristic
486C23×C4×C67C2311yescharacteristic
487C23×C4×C67C2311yescharacteristic
488C23×C4×C67C2311yescharacteristic
489C23×C4×C67C2311yescharacteristic
490C23×C4×C67C2311yescharacteristic
491#126×C67C2318yes—
492#126×C67C2318yescomplemented
493#125×C67C2318yescomplemented
494#123×C67C2318yes—
495#123×C67C2318yescomplemented
496#121×C67C2318yes—
497#121×C67C2318yes—
498#121×C67C2318yes—
499#121×C67C2318yescomplemented
500C4×D4×C67C2318yes—
501C4×D4×C67C2318yes—
502C4×D4×C67C2318yescomplemented
503C4×D4×C67C2318yescomplemented
504#117×C67C2318yescomplemented
505C2×C4⋊C4×C67C2311yescharacteristic
506C2×C4⋊C4×C67C2311yescharacteristic
507C2×C4⋊C4×C67C2311yescharacteristic
508C2×C4⋊C4×C67C2311yescharacteristic
509C2×C4⋊C4×C67C2311yescharacteristic
510C2×C4⋊C4×C67C2311yescharacteristic
511C2×C4⋊C4×C67C2311yescharacteristic
512C2×C4⋊C4×C67C2311yescharacteristic
513C2×C4⋊C4×C67C2311yescharacteristic
514C2×C4⋊C4×C67C2311yescharacteristic
515C2×C4⋊C4×C67C2318yescomplemented
516C2×C22⋊C4×C67C2311yescharacteristic
517C2×C22⋊C4×C67C2311yescharacteristic
518C2×C22⋊C4×C67C2311yescharacteristic
519C2×C22⋊C4×C67C2311yescharacteristic
520C2×C22⋊C4×C67C2311yescharacteristic
521C2×C22⋊C4×C67C2311yescharacteristic
522C2×C22⋊C4×C67C2311yescharacteristic
523C2×C22⋊C4×C67C2311yescharacteristic
524C2×C22⋊C4×C67C2311yescharacteristic
525C2×C22⋊C4×C67C2311yescharacteristic
526C2×C42×C67C2311yescharacteristic
527C2×C42×C67C2311yescharacteristic
528C2×C42×C67C2311yescharacteristic
529C23×D67—42no—
530C23×D67—42no—
531C23×D67—42no—
532C23×D67C2411yescharacteristic
533C23×D67C2411yescharacteristic
534C23×D67C2411yescharacteristic
535C23×D67C2414yes—
536C2×Dic134—42no—
537C2×Dic134—42no—
538C2×Dic134—42no—
539C2×Dic134—42no—
540C2×Dic134—42no—
541C2×Dic134—42no—
542C2×Dic134C2414yes—
543C2×Dic134C2414yes—
544C2×Dic134C2414yes—
545C2×Dic134C2414yes—
546C2×Dic134C2414yes—
547C2×Dic134C2414yes—
548C2×D268—42no—
549C2×D268—42no—
550C2×D268C2414yes—
551C2×D268C2414yes—
552C2×C22⋊D67—42no—
553C2×C22⋊D67—42no—
554C2×C22⋊D67—42no—
555C2×C22⋊D67—42no—
556C2×C22⋊D67—42no—
557C2×C22⋊D67—42no—
558C2×C22⋊D67—42no—
559C2×C22⋊D67—42no—
560C2×C22⋊D67—42no—
561C2×C22⋊D67—42no—
562C2×C22⋊D67C2414yes—
563C2×C22⋊D67C2414yes—
564C2×C22⋊D67C2414yes—
565C2×C22⋊D67C2414yes—
566C2×C22⋊D67C2414yes—
567C2×C22⋊D67C2414yes—
568C2×C22⋊D67C2414yes—
569C2×C22⋊D67C2414yes—
570C2×C22⋊D67C2414yes—
571C2×C22⋊D67C2414yes—
572C22×Dic67—42no—
573C22×Dic67—42no—
574C22×Dic67—42no—
575C22×Dic67—42no—
576C22×Dic67—42no—
577C22×Dic67C2411yescharacteristic
578C22×Dic67C2411yescharacteristic
579C22×Dic67C2411yescharacteristic
580C22×Dic67C2411yescharacteristic
581C22×Dic67C2411yescharacteristic
582C22×Dic67C2411yescharacteristic
583C22×Dic67C2411yescharacteristic
584C22×Dic67C2411yescharacteristic
585C22×Dic67C2411yescharacteristic
586C22×Dic67C2411yescharacteristic
587C22×Dic67C2411yescharacteristic
588C22×Dic67C2411yescharacteristic
589C22×Dic67C2411yescharacteristic
590C22×Dic67C2414yes—
591C22×Dic67C2414yes—
592C22×Dic67C2414yes—
593C22×Dic67C2414yes—
594C22×Dic67C2414yes—
595C2×C4×D67—42no—
596C2×C4×D67—42no—
597C2×C4×D67—42no—
598C2×C4×D67—42no—
599C2×C4×D67—42no—
600C2×C4×D67—42no—
601C2×C4×D67—42no—
602C2×C4×D67C2414yes—
603C2×C4×D67C2414yes—
604C2×C4×D67C2414yes—
605C2×C4×D67C2414yes—
606C2×C4×D67C2414yes—
607C2×C4×D67C2414yes—
608C2×C4×D67C2414yes—
609C4⋊Dic67C2414yes—
610C4⋊Dic67C2414yes—
611C4⋊Dic67C2414yes—
612C4⋊Dic67C2414yes—
613C4⋊Dic67C2414yes—
614C4⋊Dic67C2414yes—
615C4⋊Dic67C2414yes—
616C4⋊Dic67C2414yes—
617C4⋊Dic67C2414yes—
618C4⋊Dic67C2414yes—
619C4⋊Dic67C2414yes—
620C4⋊Dic67C2414yes—
621Dic67⋊C4C2414yes—
622Dic67⋊C4C2414yes—
623Dic67⋊C4C2414yes—
624Dic67⋊C4C2414yes—
625Dic67⋊C4C2414yes—
626Dic67⋊C4C2414yes—
627Dic67⋊C4C2414yes—
628Dic67⋊C4C2414yes—
629Dic67⋊C4C2414yes—
630Dic67⋊C4C2414yes—
631Dic67⋊C4C2414yes—
632Dic67⋊C4C2414yes—
633Dic67⋊C4C2414yes—
634Dic67⋊C4C2414yes—
635Dic67⋊C4C2414yes—
636Dic67⋊C4C2414yes—
637Dic67⋊C4C2414yes—
638Dic67⋊C4C2414yes—
639Dic67⋊C4C2414yes—
640Dic67⋊C4C2414yes—
641Dic67⋊C4C2414yes—
642Dic67⋊C4C2414yes—
643Dic67⋊C4C2414yes—
644Dic67⋊C4C2414yes—
645Dic67⋊C4C2414yes—
646Dic67⋊C4C2414yes—
647C22⋊Dic67C2414yes—
648C22⋊Dic67C2414yes—
649C22⋊Dic67C2414yes—
650C22⋊Dic67C2414yes—
651C22⋊Dic67C2414yes—
652C22⋊Dic67C2414yes—
653C22⋊Dic67C2414yes—
654C22⋊Dic67C2414yes—
655C22⋊Dic67C2414yes—
656C22⋊Dic67C2414yes—
657C22⋊Dic67C2414yes—
658C22⋊Dic67C2414yes—
659C22⋊Dic67C2414yes—
660C22⋊Dic67C2414yes—
661C22⋊Dic67C2414yes—
662C22⋊Dic67C2414yes—
663(C2×D67)⋊C4C2414yes—
664(C2×D67)⋊C4C2414yes—
665(C2×D67)⋊C4C2414yes—
666(C2×D67)⋊C4C2414yes—
667(C2×D67)⋊C4C2414yes—
668(C2×D67)⋊C4C2414yes—
669(C2×D67)⋊C4C2414yes—
670(C2×D67)⋊C4C2414yes—
671(C2×D67)⋊C4C2414yes—
672(C2×D67)⋊C4C2414yes—
673(C2×D67)⋊C4C2414yes—
674(C2×D67)⋊C4C2414yes—
675(C2×D67)⋊C4C2414yes—
676(C2×D67)⋊C4C2414yes—
677(C2×D67)⋊C4C2414yes—
678(C2×D67)⋊C4C2414yes—
679(C2×D67)⋊C4C2414yes—
680(C2×D67)⋊C4C2414yes—
681(C2×D67)⋊C4C2414yes—
682(C2×D67)⋊C4C2414yes—
683(C2×D67)⋊C4C2414yes—
684(C2×D67)⋊C4C2414yes—
685C4×Dic67C2414yes—
686C4×Dic67C2414yes—
687C4×Dic67C2414yes—
688C4×Dic67C2414yes—
689C4×Dic67C2414yes—
690C4×Dic67C2414yes—
691C4×Dic67C2414yes—
692C4×Dic67C2414yes—
693C4×Dic67C2414yes—
694C4×Dic67C2414yes—
695C4×Dic67C2414yes—
696C4×Dic67C2414yes—
697C4×Dic67C2414yes—
698C24×C67C2411yescharacteristic
699C24×C67C2411yescharacteristic
700C24×C67C2411yescharacteristic
701C24×C67C2411yescharacteristic
702C2×D4×C67—42no—
703C2×D4×C67—42no—
704C2×D4×C67—42no—
705C2×D4×C67—42no—
706C2×D4×C67—42no—
707C2×D4×C67—42no—
708C2×D4×C67C2414yes—
709C2×D4×C67C2414yes—
710C2×D4×C67C2414yes—
711C2×D4×C67C2414yes—
712C2×D4×C67C2414yes—
713C2×D4×C67C2414yes—
714C22×C4×C67—42no—
715C22×C4×C67—42no—
716C22×C4×C67—42no—
717C22×C4×C67—42no—
718C22×C4×C67—42no—
719C22×C4×C67—42no—
720C22×C4×C67C2411yescharacteristic
721C22×C4×C67C2411yescharacteristic
722C22×C4×C67C2411yescharacteristic
723C22×C4×C67C2411yescharacteristic
724C22×C4×C67C2411yescharacteristic
725C22×C4×C67C2411yescharacteristic
726C22×C4×C67C2411yescharacteristic
727C22×C4×C67C2411yescharacteristic
728C22×C4×C67C2411yescharacteristic
729C22×C4×C67C2411yescharacteristic
730C22×C4×C67C2411yescharacteristic
731C22×C4×C67C2414yes—
732C22×C4×C67C2414yes—
733C22×C4×C67C2414yes—
734C22×C4×C67C2414yes—
735C22×C4×C67C2414yes—
736C22×C4×C67C2414yes—
737C4⋊C4×C67C2414yes—
738C4⋊C4×C67C2414yes—
739C4⋊C4×C67C2414yes—
740C4⋊C4×C67C2414yes—
741C4⋊C4×C67C2414yes—
742C4⋊C4×C67C2414yes—
743C4⋊C4×C67C2414yes—
744C4⋊C4×C67C2414yes—
745C4⋊C4×C67C2414yes—
746C4⋊C4×C67C2414yes—
747C22⋊C4×C67C2414yes—
748C22⋊C4×C67C2414yes—
749C22⋊C4×C67C2414yes—
750C22⋊C4×C67C2414yes—
751C22⋊C4×C67C2414yes—
752C22⋊C4×C67C2414yes—
753C22⋊C4×C67C2414yes—
754C22⋊C4×C67C2414yes—
755C22⋊C4×C67C2414yes—
756C22⋊C4×C67C2414yes—
757C42×C67C2414yes—
758C42×C67C2414yes—
759C42×C67C2414yes—
760C23×C67—22no—
761C23×C67—22no—
762C23×C67—22no—
763C23×C67—22no—
764C23×C67—22no—
765C23×C67—22no—
766C23×C67—22no—
767C23×C67—22no—
768C23×C67—22no—
769C23×C67—22no—
770C23×C67—22no—
771C23×C67—22no—
772C23×C67C2512yes—
773C23×C67C2512yes—
774C23×C67C2512yes—
775C23×C67C2512yes—
776C23×C67C2511yescharacteristic
777C22×D67—22no—
778C22×D67—22no—
779C22×D67—22no—
780C22×D67—22no—
781C22×D67—22no—
782C22×D67—22no—
783C22×D67—22no—
784C22×D67—22no—
785C22×D67—22no—
786C22×D67—44no—
787C22×D67—44no—
788C22×D67—44no—
789C22×D67—88no—
790C22×D67C2512yes—
791C22×D67C2512yes—
792C22×D67C2512yes—
793D4×C67—44no—
794D4×C67—44no—
795D4×C67—44no—
796D4×C67—44no—
797D4×C67—44no—
798D4×C67—44no—
799C2×C4×C67—22no—
800C2×C4×C67—22no—
801C2×C4×C67—22no—
802C2×C4×C67—22no—
803C2×C4×C67—22no—
804C2×C4×C67—22no—
805C2×C4×C67—22no—
806C2×C4×C67—22no—
807C2×C4×C67—22no—
808C2×C4×C67—22no—
809C2×C4×C67—22no—
810C2×C4×C67—44no—
811C2×C4×C67—44no—
812C2×C4×C67—44no—
813C2×C4×C67—44no—
814C2×C4×C67—44no—
815C2×C4×C67—44no—
816C2×C4×C67C2512yes—
817C2×C4×C67C2512yes—
818C2×C4×C67C2512yes—
819C2×C4×C67C2512yes—
820C2×C4×C67C2512yes—
821C2×C4×C67C2512yes—
822C2×C4×C67C2512yes—
823C2×C4×C67C2512yes—
824C2×C4×C67C2512yes—
825C2×C4×C67C2512yes—
826C2×C4×C67C2512yes—
827C22⋊D67—44no—
828C22⋊D67—44no—
829C22⋊D67—44no—
830C22⋊D67—44no—
831C22⋊D67—44no—
832C22⋊D67—44no—
833C22⋊D67—44no—
834C22⋊D67—44no—
835C22⋊D67—44no—
836C22⋊D67—44no—
837C2×Dic67—22no—
838C2×Dic67—22no—
839C2×Dic67—22no—
840C2×Dic67—22no—
841C2×Dic67—22no—
842C2×Dic67—22no—
843C2×Dic67—22no—
844C2×Dic67—22no—
845C2×Dic67—22no—
846C2×Dic67—22no—
847C2×Dic67—22no—
848C2×Dic67—22no—
849C2×Dic67—22no—
850C2×Dic67—44no—
851C2×Dic67—44no—
852C2×Dic67—44no—
853C2×Dic67—44no—
854C2×Dic67—44no—
855C2×Dic67C2512yes—
856C2×Dic67C2512yes—
857C2×Dic67C2512yes—
858C2×Dic67C2512yes—
859C2×Dic67C2512yes—
860C2×Dic67C2512yes—
861C2×Dic67C2512yes—
862C2×Dic67C2512yes—
863C2×Dic67C2512yes—
864C2×Dic67C2512yes—
865C2×Dic67C2512yes—
866C2×Dic67C2512yes—
867C2×Dic67C2512yes—
868D268—44no—
869D268—44no—
870C4×D67—44no—
871C4×D67—44no—
872C4×D67—44no—
873C4×D67—44no—
874C4×D67—44no—
875C4×D67—44no—
876C4×D67—44no—
877Dic134—44no—
878Dic134—44no—
879Dic134—44no—
880Dic134—44no—
881Dic134—44no—
882Dic134—44no—
883C22×C67—22no—
884C22×C67—22no—
885C22×C67—22no—
886C22×C67—22no—
887C22×C67—22no—
888C22×C67—22no—
889C22×C67—22no—
890C22×C67—22no—
891C22×C67—22no—
892C22×C67—22no—
893C22×C67—22no—
894C22×C67—22no—
895C22×C67—44no—
896C22×C67—44no—
897C22×C67—44no—
898C22×C67—44no—
899C22×C67#58512yes—
900C22×C67#58512yes—
901C22×C67#58512yes—
902C22×C67C2611yescharacteristic
903C2×D67—22no—
904C2×D67—22no—
905C2×D67—22no—
906C2×D67—22no—
907C2×D67—22no—
908C2×D67—22no—
909C2×D67—22no—
910C2×D67—22no—
911C2×D67—22no—
912C2×D67—44no—
913C2×D67—44no—
914C2×D67—44no—
915C2×D67—88no—
916C4×C67—22no—
917C4×C67—22no—
918C4×C67—22no—
919C4×C67—22no—
920C4×C67—22no—
921C4×C67—22no—
922C4×C67—22no—
923C4×C67—22no—
924C4×C67—22no—
925C4×C67—22no—
926C4×C67—22no—
927Dic67—22no—
928Dic67—22no—
929Dic67—22no—
930Dic67—22no—
931Dic67—22no—
932Dic67—22no—
933Dic67—22no—
934Dic67—22no—
935Dic67—22no—
936Dic67—22no—
937Dic67—22no—
938Dic67—22no—
939Dic67—22no—
940C2×#3566—671nomaximal, Sylow
941C2×C67—42no—
942C2×C67—42no—
943C2×C67—42no—
944C2×C67—42no—
945C2×C67#356614yescomplemented
946C2×C67C2×#58511yescharacteristic
947C2×C67C2×#58511yescharacteristic
948C2×C67C2×#58511yescharacteristic
949D67—42no—
950D67—42no—
951D67—42no—
952#3566—6732no—
953C2×#563—671no—
954C2×#562—671no—
955C2×#562—671no—
956C2×#560—671no—
957C2×#559—671no—
958C2×#556—671no—
959C2×#555—671no—
960C2×#553—671no—
961C2×#553—671no—
962C2×#553D6711yescharacteristic, complemented
963C2×#552—671no—
964C2×#552—671no—
965C2×#552—671no—
966C2×#551—671no—
967C2×#551—671no—
968C2×#551—671no—
969C2×#542—671no—
970C2×#542—671no—
971C2×#542—671no—
972C2×#541—671no—
973C2×#541—671no—
974C2×#540—671no—
975C2×#539—671no—
976C2×#539—671no—
977C2×#539—671no—
978C2×#538—671no—
979C2×#538—671no—
980C2×#538—671no—
981C2×#529—671no—
982C2×#529—671no—
983C2×#529—671no—
984C67C2×#356611yescharacteristic, complemented, Sylow
985#563—6716no—
986#562—6716no—
987#562—6716no—
988#560—6716no—
989#559—6716no—
990#556—6716no—
991#555—6716no—
992#553—6716no—
993#553—6716no—
994#553C2×D67116yescomplemented
995#552—6716no—
996#552—6716no—
997#552—6716no—
998#551—6716no—
999#551—6716no—
1000#551—6716no—
1001#542—6716no—
1002#542—6716no—
1003#542—6716no—
1004#541—6716no—
1005#541—6716no—
1006#540—6716no—
1007#539—6716no—
1008#539—6716no—
1009#539—6716no—
1010#538—6716no—
1011#538—6716no—
1012#538—6716no—
1013C2×C4⋊Q8—671no—
1014C2×C4⋊Q8—671no—
1015C2×C4⋊Q8—671no—
1016C2×#127—671no—
1017#529—6716no—
1018#529—6716no—
1019#529—6716no—
1020C2×#126—671no—
1021C2×#126—671no—
1022C2×#126—671no—
1023C2×#126—671no—
1024C2×#126—671no—
1025C2×#126—671no—
1026C2×#126—671no—
1027C2×#126—671no—
1028C2×#126—671no—
1029C2×#126—671no—
1030C2×#126—671no—
1031C2×#126—671no—
1032C2×#126—671no—
1033C2×#126—671no—
1034C2×#126—671no—
1035C2×#126—671no—
1036C2×#126—671no—
1037C2×#126—671no—
1038C2×#126C2×D6711yescharacteristic
1039C2×#126C2×D6711yescharacteristic, complemented
1040C2×#125—671no—
1041C2×#125—671no—
1042C2×#125—671no—
1043C2×#125—671no—
1044C2×#125—671no—
1045C2×#125—671no—
1046C2×#125—671no—
1047C2×#125—671no—
1048C2×#125—671no—
1049C2×#125—671no—
1050C2×#125—671no—
1051C2×#125C2×D6711yescharacteristic, complemented
1052C2×#124—671no—
1053C2×#124—671no—
1054C2×#124—671no—
1055C2×#124—671no—
1056C2×#124—671no—
1057C2×#124—671no—
1058C2×#124—671no—
1059C2×#124—671no—
1060C2×#124—671no—
1061C2×#124—671no—
1062C2×#124—671no—
1063C2×#124—671no—
1064C2×#123—671no—
1065C2×#123—671no—
1066C2×#123—671no—
1067C2×#123—671no—
1068C2×#123—671no—
1069C2×#123—671no—
1070C2×#123—671no—
1071C2×#123—671no—
1072C2×#123—671no—
1073C2×#123—671no—
1074C2×#123—671no—
1075C2×#123—671no—
1076C2×#123—671no—
1077C2×#123—671no—
1078C2×#123—671no—
1079C2×#123—671no—
1080C2×#123—671no—
1081C2×#123—671no—
1082C2×#123—671no—
1083C2×#123—671no—
1084C2×#123—671no—
1085C2×#123—671no—
1086C2×#123C2×D6711yescharacteristic
1087C2×#123C2×D6711yescharacteristic, complemented
1088C2×C22⋊Q8—671no—
1089C2×C22⋊Q8—671no—
1090C2×C22⋊Q8—671no—
1091C2×C22⋊Q8—671no—
1092C2×C22⋊Q8—671no—
1093C2×C22⋊Q8—671no—
1094C2×C22⋊Q8—671no—
1095C2×C22⋊Q8—671no—
1096C2×C22⋊Q8—671no—
1097C2×C22⋊Q8—671no—
1098C2×C22⋊Q8—671no—
1099C2×C22⋊Q8—671no—
1100C2×C22⋊Q8—671no—
1101C2×C22⋊Q8—671no—
1102C2×C22⋊Q8—671no—
1103C2×C22⋊Q8—671no—
1104C2×C22⋊Q8—671no—
1105C2×C22⋊Q8—671no—
1106C2×#121—671no—
1107C2×#121—671no—
1108C2×#121—671no—
1109C2×#121—671no—
1110C2×#121—671no—
1111C2×#121—671no—
1112C2×#121—671no—
1113C2×#121—671no—
1114C2×#121—671no—
1115C2×#121—671no—
1116C2×#121—671no—
1117C2×#121—671no—
1118C2×#121—671no—
1119C2×#121—671no—
1120C2×#121C2×D6711yescharacteristic
1121C2×#121C2×D6711yescharacteristic
1122C2×#121C2×D6711yescharacteristic
1123C2×#121C2×D6711yescharacteristic, complemented
1124C2×#120—671no—
1125C2×#120—671no—
1126C2×#120—671no—
1127C2×#120—671no—
1128C2×C4×Q8—671no—
1129C2×C4×Q8—671no—
1130C2×C4×Q8—671no—
1131C2×C4×Q8—671no—
1132C2×C4×Q8—671no—
1133C2×C4×Q8—671no—
1134C2×C4×D4—671no—
1135C2×C4×D4—671no—
1136C2×C4×D4—671no—
1137C2×C4×D4—671no—
1138C2×C4×D4—671no—
1139C2×C4×D4—671no—
1140C2×C4×D4—671no—
1141C2×C4×D4—671no—
1142C2×C4×D4—671no—
1143C2×C4×D4—671no—
1144C2×C4×D4—671no—
1145C2×C4×D4—671no—
1146C2×C4×D4—671no—
1147C2×C4×D4—671no—
1148C2×C4×D4C2×D6711yescharacteristic
1149C2×C4×D4C2×D6711yescharacteristic
1150C2×C4×D4C2×D6711yescharacteristic, complemented
1151C2×C4×D4C2×D6711yescharacteristic, complemented
1152C2×#117—671no—
1153C2×#117—671no—
1154C2×#117—671no—
1155C2×#117—671no—
1156C2×#117—671no—
1157C2×#117—671no—
1158C2×#117—671no—
1159C2×#117—671no—
1160C2×#117—671no—
1161C2×#117—671no—
1162C2×#117—671no—
1163C2×#117C2×D6711yescharacteristic, complemented
1164C22×C4⋊C4—671no—
1165C22×C4⋊C4—671no—
1166C22×C4⋊C4C2×D6711yescharacteristic, complemented
1167C22×C22⋊C4—671no—
1168C22×C22⋊C4—671no—
1169C22×C22⋊C4—671no—
1170C22×C42—671no—
1171C25—671no—
1172C22×Q8—671no—
1173C22×Q8—671no—
1174C22×Q8—671no—
1175C22×Q8—671no—
1176C22×Q8—671no—
1177C22×Q8—671no—
1178C22×D4—671no—
1179C22×D4—671no—
1180C22×D4—671no—
1181C22×D4—671no—
1182C22×D4—671no—
1183C22×D4—671no—
1184C22×D4—671no—
1185C22×D4—671no—
1186C22×D4—671no—
1187C22×D4—671no—
1188C22×D4—671no—
1189C22×D4—671no—
1190C22×D4C22×D6711yescharacteristic
1191C22×D4C22×D6711yescharacteristic
1192C22×D4C22×D6711yescharacteristic
1193C22×D4C22×D6711yescharacteristic
1194C22×D4C22×D6711yescharacteristic
1195C22×D4C22×D6711yescharacteristic
1196C23×C4—671no—
1197C23×C4—671no—
1198C23×C4—671no—
1199C23×C4—671no—
1200C23×C4—671no—
1201C23×C4—671no—
1202C23×C4—671no—
1203C23×C4—671no—
1204C23×C4—671no—
1205C23×C4—671no—
1206C23×C4—671no—
1207C23×C4—671no—
1208C23×C4C22×D6711yescharacteristic
1209C23×C4C22×D6711yescharacteristic
1210C23×C4C22×D6711yescharacteristic
1211C23×C4C22×D6711yescharacteristic
1212C23×C4C22×D6711yescharacteristic
1213C23×C4C22×D6711yescharacteristic
1214C4⋊Q8—678no—
1215C4⋊Q8—678no—
1216C4⋊Q8—678no—
1217#127—678no—
1218#126—678no—
1219#126—678no—
1220#126—678no—
1221#126—678no—
1222#126—678no—
1223#126—678no—
1224#126—678no—
1225#126—678no—
1226#126—678no—
1227#126—678no—
1228#126—678no—
1229#126—678no—
1230#126—678no—
1231#126—678no—
1232#126—678no—
1233#126—678no—
1234#126—678no—
1235#126—678no—
1236#126C22×D6718yes—
1237#126C22×D6718yescomplemented
1238#125—678no—
1239#125—678no—
1240#125—678no—
1241#125—678no—
1242#125—678no—
1243#125—678no—
1244#125—678no—
1245#125—678no—
1246#125—678no—
1247#125—678no—
1248#125—678no—
1249#125C22×D6718yescomplemented
1250#124—678no—
1251#124—678no—
1252#124—678no—
1253#124—678no—
1254#124—678no—
1255#124—678no—
1256#124—678no—
1257#124—678no—
1258#124—678no—
1259#124—678no—
1260#124—678no—
1261#124—678no—
1262#123—678no—
1263#123—678no—
1264#123—678no—
1265#123—678no—
1266#123—678no—
1267#123—678no—
1268#123—678no—
1269#123—678no—
1270#123—678no—
1271#123—678no—
1272#123—678no—
1273#123—678no—
1274#123—678no—
1275#123—678no—
1276#123—678no—
1277#123—678no—
1278#123—678no—
1279#123—678no—
1280#123—678no—
1281#123—678no—
1282#123—678no—
1283#123—678no—
1284#123C22×D6718yes—
1285#123C22×D6718yescomplemented
1286C22⋊Q8—678no—
1287C22⋊Q8—678no—
1288C22⋊Q8—678no—
1289C22⋊Q8—678no—
1290C22⋊Q8—678no—
1291C22⋊Q8—678no—
1292C22⋊Q8—678no—
1293C22⋊Q8—678no—
1294C22⋊Q8—678no—
1295C22⋊Q8—678no—
1296C22⋊Q8—678no—
1297C22⋊Q8—678no—
1298C22⋊Q8—678no—
1299C22⋊Q8—678no—
1300C22⋊Q8—678no—
1301C22⋊Q8—678no—
1302C22⋊Q8—678no—
1303C22⋊Q8—678no—
1304#121—678no—
1305#121—678no—
1306#121—678no—
1307#121—678no—
1308#121—678no—
1309#121—678no—
1310#121—678no—
1311#121—678no—
1312#121—678no—
1313#121—678no—
1314#121—678no—
1315#121—678no—
1316#121—678no—
1317#121—678no—
1318#121C22×D6718yes—
1319#121C22×D6718yes—
1320#121C22×D6718yes—
1321#121C22×D6718yescomplemented
1322#120—678no—
1323#120—678no—
1324#120—678no—
1325#120—678no—
1326C4×Q8—678no—
1327C4×Q8—678no—
1328C4×Q8—678no—
1329C4×Q8—678no—
1330C4×Q8—678no—
1331C4×Q8—678no—
1332C4×D4—678no—
1333C4×D4—678no—
1334C4×D4—678no—
1335C4×D4—678no—
1336C4×D4—678no—
1337C4×D4—678no—
1338C4×D4—678no—
1339C4×D4—678no—
1340C4×D4—678no—
1341C4×D4—678no—
1342C4×D4—678no—
1343C4×D4—678no—
1344C4×D4—678no—
1345C4×D4—678no—
1346C4×D4C22×D6718yes—
1347C4×D4C22×D6718yes—
1348C4×D4C22×D6718yescomplemented
1349C4×D4C22×D6718yescomplemented
1350#117—678no—
1351#117—678no—
1352#117—678no—
1353#117—678no—
1354#117—678no—
1355#117—678no—
1356#117—678no—
1357#117—678no—
1358#117—678no—
1359#117—678no—
1360#117—678no—
1361#117C22×D6718yescomplemented
1362C2×C4⋊C4—671no—
1363C2×C4⋊C4—671no—
1364C2×C4⋊C4—671no—
1365C2×C4⋊C4—671no—
1366C2×C4⋊C4—671no—
1367C2×C4⋊C4—671no—
1368C2×C4⋊C4—671no—
1369C2×C4⋊C4—678no—
1370C2×C4⋊C4—671no—
1371C2×C4⋊C4—671no—
1372C2×C4⋊C4—671no—
1373C2×C4⋊C4—671no—
1374C2×C4⋊C4—671no—
1375C2×C4⋊C4—671no—
1376C2×C4⋊C4—671no—
1377C2×C4⋊C4—671no—
1378C2×C4⋊C4—671no—
1379C2×C4⋊C4—671no—
1380C2×C4⋊C4—671no—
1381C2×C4⋊C4—671no—
1382C2×C4⋊C4—671no—
1383C2×C4⋊C4—671no—
1384C2×C4⋊C4—671no—
1385C2×C4⋊C4—671no—
1386C2×C4⋊C4—671no—
1387C2×C4⋊C4—671no—
1388C2×C4⋊C4—671no—
1389C2×C4⋊C4—671no—
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—671no—
1393C2×C4⋊C4—671no—
1394C2×C4⋊C4—671no—
1395C2×C4⋊C4—671no—
1396C2×C4⋊C4—671no—
1397C2×C4⋊C4—671no—
1398C2×C4⋊C4—671no—
1399C2×C4⋊C4—671no—
1400C2×C4⋊C4—671no—
1401C2×C4⋊C4—678no—
1402C2×C4⋊C4C22×D6711yescharacteristic
1403C2×C4⋊C4C22×D6711yescharacteristic
1404C2×C4⋊C4C22×D6711yescharacteristic
1405C2×C4⋊C4C22×D6711yescharacteristic
1406C2×C4⋊C4C22×D6711yescharacteristic
1407C2×C4⋊C4C22×D6711yescharacteristic
1408C2×C4⋊C4C22×D6711yescharacteristic
1409C2×C4⋊C4C22×D6711yescharacteristic
1410C2×C4⋊C4C22×D6711yescharacteristic
1411C2×C4⋊C4C22×D6711yescharacteristic
1412C2×C4⋊C4C22×D6718yescomplemented
1413C2×C22⋊C4—671no—
1414C2×C22⋊C4—671no—
1415C2×C22⋊C4—671no—
1416C2×C22⋊C4—671no—
1417C2×C22⋊C4—671no—
1418C2×C22⋊C4—671no—
1419C2×C22⋊C4—671no—
1420C2×C22⋊C4—671no—
1421C2×C22⋊C4—671no—
1422C2×C22⋊C4—671no—
1423C2×C22⋊C4—671no—
1424C2×C22⋊C4—671no—
1425C2×C22⋊C4—671no—
1426C2×C22⋊C4—671no—
1427C2×C22⋊C4—671no—
1428C2×C22⋊C4—671no—
1429C2×C22⋊C4—671no—
1430C2×C22⋊C4—671no—
1431C2×C22⋊C4—671no—
1432C2×C22⋊C4—671no—
1433C2×C22⋊C4—671no—
1434C2×C22⋊C4—671no—
1435C2×C22⋊C4—671no—
1436C2×C22⋊C4—671no—
1437C2×C22⋊C4—678no—
1438C2×C22⋊C4—671no—
1439C2×C22⋊C4—671no—
1440C2×C22⋊C4—671no—
1441C2×C22⋊C4—671no—
1442C2×C22⋊C4—671no—
1443C2×C22⋊C4—671no—
1444C2×C22⋊C4—671no—
1445C2×C22⋊C4—671no—
1446C2×C22⋊C4—671no—
1447C2×C22⋊C4—671no—
1448C2×C22⋊C4—671no—
1449C2×C22⋊C4—671no—
1450C2×C22⋊C4—671no—
1451C2×C22⋊C4—671no—
1452C2×C22⋊C4—678no—
1453C2×C22⋊C4—678no—
1454C2×C22⋊C4C22×D6711yescharacteristic
1455C2×C22⋊C4C22×D6711yescharacteristic
1456C2×C22⋊C4C22×D6711yescharacteristic
1457C2×C22⋊C4C22×D6711yescharacteristic
1458C2×C22⋊C4C22×D6711yescharacteristic
1459C2×C22⋊C4C22×D6711yescharacteristic
1460C2×C22⋊C4C22×D6711yescharacteristic
1461C2×C22⋊C4C22×D6711yescharacteristic
1462C2×C22⋊C4C22×D6711yescharacteristic
1463C2×C22⋊C4C22×D6711yescharacteristic
1464C2×C42—671no—
1465C2×C42—671no—
1466C2×C42—671no—
1467C2×C42—671no—
1468C2×C42—671no—
1469C2×C42—671no—
1470C2×C42—671no—
1471C2×C42—671no—
1472C2×C42—671no—
1473C2×C42—671no—
1474C2×C42—671no—
1475C2×C42—671no—
1476C2×C42—671no—
1477C2×C42—678no—
1478C2×C42C22×D6711yescharacteristic
1479C2×C42C22×D6711yescharacteristic
1480C2×C42C22×D6711yescharacteristic
1481C24—2682no—
1482C24—2682no—
1483C24—2682no—
1484C24—674no—
1485C24—671no—
1486C24—671no—
1487C24—671no—
1488C24C23×D6711yescharacteristic
1489C24C23×D6711yescharacteristic
1490C24C23×D6711yescharacteristic
1491C24C23×D6711yescharacteristic
1492C2×Q8—2682no—
1493C2×Q8—2682no—
1494C2×Q8—2682no—
1495C2×Q8—2682no—
1496C2×Q8—2682no—
1497C2×Q8—2682no—
1498C2×Q8—674no—
1499C2×Q8—674no—
1500C2×Q8—674no—
1501C2×Q8—674no—
1502C2×Q8—674no—
1503C2×Q8—674no—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—2682no—
1511C2×D4—2682no—
1512C2×D4—2682no—
1513C2×D4—2682no—
1514C2×D4—2682no—
1515C2×D4—2682no—
1516C2×D4—2682no—
1517C2×D4—2682no—
1518C2×D4—2682no—
1519C2×D4—2682no—
1520C2×D4—2682no—
1521C2×D4—2682no—
1522C2×D4—674no—
1523C2×D4—674no—
1524C2×D4—674no—
1525C2×D4—674no—
1526C2×D4—674no—
1527C2×D4—674no—
1528C2×D4—674no—
1529C2×D4—674no—
1530C2×D4—674no—
1531C2×D4—674no—
1532C2×D4—674no—
1533C2×D4—674no—
1534C2×D4C23×D6714yes—
1535C2×D4C23×D6714yes—
1536C2×D4C23×D6714yes—
1537C2×D4C23×D6714yes—
1538C2×D4C23×D6714yes—
1539C2×D4C23×D6714yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—2682no—
1547C22×C4—2682no—
1548C22×C4—2682no—
1549C22×C4—2682no—
1550C22×C4—2682no—
1551C22×C4—2682no—
1552C22×C4—2682no—
1553C22×C4—2682no—
1554C22×C4—2682no—
1555C22×C4—2682no—
1556C22×C4—2682no—
1557C22×C4—2682no—
1558C22×C4—674no—
1559C22×C4—674no—
1560C22×C4—674no—
1561C22×C4—674no—
1562C22×C4—674no—
1563C22×C4—674no—
1564C22×C4—674no—
1565C22×C4—674no—
1566C22×C4—674no—
1567C22×C4—674no—
1568C22×C4—674no—
1569C22×C4—674no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—671no—
1575C22×C4—671no—
1576C22×C4—671no—
1577C22×C4—671no—
1578C22×C4—671no—
1579C22×C4—671no—
1580C22×C4—671no—
1581C22×C4—671no—
1582C22×C4—671no—
1583C22×C4C23×D6711yescharacteristic
1584C22×C4C23×D6711yescharacteristic
1585C22×C4C23×D6711yescharacteristic
1586C22×C4C23×D6711yescharacteristic
1587C22×C4C23×D6711yescharacteristic
1588C22×C4C23×D6711yescharacteristic
1589C22×C4C23×D6711yescharacteristic
1590C22×C4C23×D6711yescharacteristic
1591C22×C4C23×D6711yescharacteristic
1592C22×C4C23×D6711yescharacteristic
1593C22×C4C23×D6711yescharacteristic
1594C22×C4C23×D6714yes—
1595C22×C4C23×D6714yes—
1596C22×C4C23×D6714yes—
1597C22×C4C23×D6714yes—
1598C22×C4C23×D6714yes—
1599C22×C4C23×D6714yes—
1600C4⋊C4—674no—
1601C4⋊C4—674no—
1602C4⋊C4—674no—
1603C4⋊C4—674no—
1604C4⋊C4—674no—
1605C4⋊C4—674no—
1606C4⋊C4—674no—
1607C4⋊C4—674no—
1608C4⋊C4—674no—
1609C4⋊C4—674no—
1610C4⋊C4—674no—
1611C4⋊C4—674no—
1612C4⋊C4—674no—
1613C4⋊C4—674no—
1614C4⋊C4—674no—
1615C4⋊C4—674no—
1616C4⋊C4—674no—
1617C4⋊C4—674no—
1618C4⋊C4—674no—
1619C4⋊C4—674no—
1620C4⋊C4—674no—
1621C4⋊C4—674no—
1622C4⋊C4—674no—
1623C4⋊C4—674no—
1624C4⋊C4—674no—
1625C4⋊C4—674no—
1626C4⋊C4—674no—
1627C4⋊C4—674no—
1628C4⋊C4—674no—
1629C4⋊C4—674no—
1630C4⋊C4—674no—
1631C4⋊C4—674no—
1632C4⋊C4—674no—
1633C4⋊C4—674no—
1634C4⋊C4—674no—
1635C4⋊C4—674no—
1636C4⋊C4—674no—
1637C4⋊C4—674no—
1638C4⋊C4C23×D6714yes—
1639C4⋊C4C23×D6714yes—
1640C4⋊C4C23×D6714yes—
1641C4⋊C4C23×D6714yes—
1642C4⋊C4C23×D6714yes—
1643C4⋊C4C23×D6714yes—
1644C4⋊C4C23×D6714yes—
1645C4⋊C4C23×D6714yes—
1646C4⋊C4C23×D6714yes—
1647C4⋊C4C23×D6714yes—
1648C22⋊C4—674no—
1649C22⋊C4—674no—
1650C22⋊C4—674no—
1651C22⋊C4—674no—
1652C22⋊C4—674no—
1653C22⋊C4—674no—
1654C22⋊C4—674no—
1655C22⋊C4—674no—
1656C22⋊C4—674no—
1657C22⋊C4—674no—
1658C22⋊C4—674no—
1659C22⋊C4—674no—
1660C22⋊C4—674no—
1661C22⋊C4—674no—
1662C22⋊C4—674no—
1663C22⋊C4—674no—
1664C22⋊C4—674no—
1665C22⋊C4—674no—
1666C22⋊C4—674no—
1667C22⋊C4—674no—
1668C22⋊C4—674no—
1669C22⋊C4—674no—
1670C22⋊C4—674no—
1671C22⋊C4—674no—
1672C22⋊C4—674no—
1673C22⋊C4—674no—
1674C22⋊C4—674no—
1675C22⋊C4—674no—
1676C22⋊C4—674no—
1677C22⋊C4—674no—
1678C22⋊C4—674no—
1679C22⋊C4—674no—
1680C22⋊C4—674no—
1681C22⋊C4—674no—
1682C22⋊C4—674no—
1683C22⋊C4—674no—
1684C22⋊C4—674no—
1685C22⋊C4—674no—
1686C22⋊C4C23×D6714yes—
1687C22⋊C4C23×D6714yes—
1688C22⋊C4C23×D6714yes—
1689C22⋊C4C23×D6714yes—
1690C22⋊C4C23×D6714yes—
1691C22⋊C4C23×D6714yes—
1692C22⋊C4C23×D6714yes—
1693C22⋊C4C23×D6714yes—
1694C22⋊C4C23×D6714yes—
1695C22⋊C4C23×D6714yes—
1696C42—674no—
1697C42—674no—
1698C42—674no—
1699C42—674no—
1700C42—674no—
1701C42—674no—
1702C42—674no—
1703C42—674no—
1704C42—674no—
1705C42—674no—
1706C42—674no—
1707C42—674no—
1708C42—674no—
1709C42C23×D6714yes—
1710C42C23×D6714yes—
1711C42C23×D6714yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—2684no—
1725C23—2684no—
1726C23—2684no—
1727C23—5368no—
1728C23—672no—
1729C23—672no—
1730C23—672no—
1731C23—1342no—
1732C23—1342no—
1733C23—1342no—
1734C23—1342no—
1735C23—1342no—
1736C23—1342no—
1737C23—1342no—
1738C23—1342no—
1739C23—1342no—
1740C23C24×D6712yes—
1741C23C24×D6712yes—
1742C23C24×D6712yes—
1743C23C24×D6712yes—
1744C23C24×D6711yescharacteristic
1745Q8—2684no—
1746Q8—2684no—
1747Q8—2684no—
1748Q8—2684no—
1749Q8—2684no—
1750Q8—2684no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—2684no—
1758D4—2684no—
1759D4—2684no—
1760D4—2684no—
1761D4—2684no—
1762D4—2684no—
1763D4—2684no—
1764D4—2684no—
1765D4—2684no—
1766D4—2684no—
1767D4—2684no—
1768D4—2684no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—2684no—
1787C2×C4—2684no—
1788C2×C4—2684no—
1789C2×C4—2684no—
1790C2×C4—2684no—
1791C2×C4—2684no—
1792C2×C4—2684no—
1793C2×C4—2684no—
1794C2×C4—2684no—
1795C2×C4—2684no—
1796C2×C4—2684no—
1797C2×C4—2684no—
1798C2×C4—672no—
1799C2×C4—672no—
1800C2×C4—672no—
1801C2×C4—672no—
1802C2×C4—672no—
1803C2×C4—672no—
1804C2×C4—672no—
1805C2×C4—672no—
1806C2×C4—672no—
1807C2×C4—672no—
1808C2×C4—672no—
1809C2×C4—672no—
1810C2×C4—672no—
1811C2×C4—1342no—
1812C2×C4—1342no—
1813C2×C4—1342no—
1814C2×C4—1342no—
1815C2×C4—1342no—
1816C2×C4—1342no—
1817C2×C4—1342no—
1818C2×C4—1342no—
1819C2×C4—1342no—
1820C2×C4—1342no—
1821C2×C4—1342no—
1822C2×C4—1342no—
1823C2×C4—1342no—
1824C2×C4C24×D6712yes—
1825C2×C4C24×D6712yes—
1826C2×C4C24×D6712yes—
1827C2×C4C24×D6712yes—
1828C2×C4C24×D6712yes—
1829C2×C4C24×D6712yes—
1830C2×C4C24×D6712yes—
1831C2×C4C24×D6712yes—
1832C2×C4C24×D6712yes—
1833C2×C4C24×D6712yes—
1834C2×C4C24×D6712yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—2684no—
1852C22—2684no—
1853C22—2684no—
1854C22—5368no—
1855C22—1342no—
1856C22—1342no—
1857C22—1342no—
1858C22—1342no—
1859C22—1342no—
1860C22—1342no—
1861C22—1342no—
1862C22—1342no—
1863C22—1342no—
1864C22#1686423112yes—
1865C22#1686423212yes—
1866C22#1686423212yes—
1867C22C25×D6711yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—1342no—
1880C4—1342no—
1881C4—1342no—
1882C4—1342no—
1883C4—1342no—
1884C4—1342no—
1885C4—1342no—
1886C4—1342no—
1887C4—1342no—
1888C4—1342no—
1889C4—1342no—
1890C4—1342no—
1891C4—1342no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—2682no—
1897C2—2682no—
1898C2—2682no—
1899C2#2257486214yesdirect product factor
1900C2C2×#1686423111yescharacteristic
1901C2C2×#1686423211yescharacteristic
1902C2C2×#1686423211yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#553×C67C2
socleC23×C67C25
hypercenterC2×#553D67
hypocenterC67C2×#3566
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #22574862C2direct (N × H)
2. C2×#16864148C2semidirect
3. C2×#16864141C2semidirect
4. C2×#16864141C2semidirect
5. C2×#16864134C2semidirect
6. C2×#16864130C2semidirect
7. C2×#16864116C2semidirect
8. C2×#16864110C2semidirect
9. C2×#16864096C2semidirect
10. C2×#16864095C2semidirect
11. C2×#16864081C2semidirect
12. C2×#16864079C2semidirect
13. C2×#16864078C2semidirect
14. C2×#16864075C2semidirect
15. C2×#16864071C2semidirect
16. C2×#16864069C2semidirect
17. C2×#16864017C2semidirect
18. C2×#16864012C2semidirect
19. C2×#16864011C2semidirect
20. C2×#16864005C2semidirect
21. C2×#16864003C2semidirect
22. C2×#16863999C2semidirect
23. C2×#16863993C2semidirect
24. C2×#16863991C2semidirect
25. C2×#16863989C2semidirect
26. C2×#16863979C2semidirect
27. C2×#16863978C2semidirect
28. C2×#16863978C2semidirect
29. C2×#16863926C2semidirect
30. C2×#16863926C2semidirect
31. C2×#16863923C2semidirect
32. C2×#553×C67C2semidirect
33. #16864148C22semidirect
34. #16864141C22semidirect
35. #16864141C22semidirect
36. #16864134C22semidirect
37. #16864130C22semidirect
38. #16864116C22semidirect
39. #16864110C22semidirect
40. #16864096C22semidirect
41. #16864095C22semidirect
42. #16864081C22semidirect
43. #16864079C22semidirect
44. #16864078C22semidirect
45. #16864075C22semidirect
46. #16864071C22semidirect
47. #16864069C22semidirect
48. #16864017C22semidirect
49. #16864012C22semidirect
50. #16864011C22semidirect
51. #16864005C22semidirect
52. #16864003C22semidirect
53. #16863999C22semidirect
54. #16863993C22semidirect
55. #16863991C22semidirect
56. #16863989C22semidirect
57. #16863979C22semidirect
58. #16863978C22semidirect
59. #16863978C22semidirect
60. C2×#14524043C22semidirect
61. C2×#14524042C22semidirect
62. C2×#14524042C22semidirect
64. #16863926C22semidirect
65. #16863926C22semidirect
66. #16863923C22semidirect
74. C2×#14524038C22semidirect
81. C2×#14524036C22semidirect
82. C2×#14524036C22semidirect
83. C2×#14524036C22semidirect
84. C2×#14524036C22semidirect
85. C2×#14524035C22semidirect
86. C2×#14524034C22semidirect
87. C2×#14524034C22semidirect
88. C2×#14524033C22semidirect
89. C2×#14524033C22semidirect
90. C2×#14524033C22semidirect
91. C2×#14524033C22semidirect
92. C2×#14524033C22semidirect
93. C2×#14524033C22semidirect
94. C2×#14524033C22semidirect
95. C2×#14524033C22semidirect
99. C2×#14524030C22semidirect
106. C2×#14524029C22semidirect
107. C2×#14524029C22semidirect
114. C2×#14524027C22semidirect
120. C2×#14524026C22semidirect
124. C2×#14524025C22semidirect
128. C2×#14524024C22semidirect
129. C2×#14524024C22semidirect
133. C2×#14524022C22semidirect
134. C2×#14524022C22semidirect
135. C2×#14524022C22semidirect
140. C2×#14524021C22semidirect
141. C2×#14524021C22semidirect
144. C2×#14524020C22semidirect
145. C2×#14524020C22semidirect
146. C2×#14524020C22semidirect
147. C2×#14524020C22semidirect
157. C2×#14524015C22semidirect
161. C2×#14524014C22semidirect
166. C2×C4×Dic134C22semidirect
167. C2×C4×Dic134C22semidirect
168. C2×C4×Dic134C22semidirect
169. C2×#14524008C22semidirect
170. C2×#14524008C22semidirect
171. C2×#14524008C22semidirect
174. C2×D4×Dic67C22semidirect
180. C2×C4×C22⋊D67C22semidirect
181. C2×C4×C22⋊D67C22semidirect
185. C2×(C22⋊D67)⋊C4C22semidirect
187. C2×#14524002C22semidirect
188. C2×#14524002C22semidirect
191. C2×#14524001C22semidirect
194. C2×#14524000C22semidirect
196. C2×#14523999C22semidirect
197. C22×Dic67⋊C4C22semidirect
198. C2×C4⋊C4×D67C22semidirect
202. C22×C4×Dic67C22semidirect
203. #553×C67C22semidirect
205. C2×#126×C67C22semidirect
206. C2×#125×C67C22semidirect
208. C2×#123×C67C22semidirect
212. C2×#121×C67C22semidirect
215. C2×C4×D4×C67C22semidirect
216. C2×C4×D4×C67C22semidirect
217. C2×#117×C67C22semidirect
218. C22×C4⋊C4×C67C22semidirect
250. #14524043C23semidirect
251. #14524042C23semidirect
252. #14524042C23semidirect
261. #14524038C23semidirect
268. #14524036C23semidirect
269. #14524036C23semidirect
270. #14524036C23semidirect
271. #14524036C23semidirect
272. #14524035C23semidirect
273. #14524034C23semidirect
274. #14524034C23semidirect
275. #14524033C23semidirect
276. #14524033C23semidirect
277. #14524033C23semidirect
278. #14524033C23semidirect
279. #14524033C23semidirect
280. #14524033C23semidirect
281. #14524033C23semidirect
282. #14524033C23semidirect
286. #14524030C23semidirect
293. #14524029C23semidirect
294. #14524029C23semidirect
301. #14524027C23semidirect
307. #14524026C23semidirect
311. #14524025C23semidirect
315. #14524024C23semidirect
316. #14524024C23semidirect
320. #14524022C23semidirect
321. #14524022C23semidirect
322. #14524022C23semidirect
327. #14524021C23semidirect
328. #14524021C23semidirect
331. #14524020C23semidirect
332. #14524020C23semidirect
333. #14524020C23semidirect
334. #14524020C23semidirect
344. #14524015C23semidirect
348. #14524014C23semidirect
353. C4×Dic134C23semidirect
354. C4×Dic134C23semidirect
355. C4×Dic134C23semidirect
356. #14524008C23semidirect
357. #14524008C23semidirect
358. #14524008C23semidirect
361. D4×Dic67C23semidirect
367. C4×C22⋊D67C23semidirect
368. C4×C22⋊D67C23semidirect
372. (C22⋊D67)⋊C4C23semidirect
374. #14524002C23semidirect
375. #14524002C23semidirect
378. #14524001C23semidirect
381. #14524000C23semidirect
383. #14523999C23semidirect
422. C2×Dic67⋊C4C23semidirect
423. C4⋊C4×D67C23semidirect
478. C2×C4×Dic67C23semidirect
492. #126×C67C23semidirect
493. #125×C67C23semidirect
495. #123×C67C23semidirect
499. #121×C67C23semidirect
502. C4×D4×C67C23semidirect
503. C4×D4×C67C23semidirect
504. #117×C67C23semidirect
515. C2×C4⋊C4×C67C23semidirect
945. C2×C67#3566semidirect
962. C2×#553D67semidirect
984. C67C2×#3566semidirect
994. #553C2×D67semidirect
1039. C2×#126C2×D67semidirect
1051. C2×#125C2×D67semidirect
1087. C2×#123C2×D67semidirect
1123. C2×#121C2×D67semidirect
1150. C2×C4×D4C2×D67semidirect
1151. C2×C4×D4C2×D67semidirect
1163. C2×#117C2×D67semidirect
1166. C22×C4⋊C4C2×D67semidirect
1237. #126C22×D67semidirect
1249. #125C22×D67semidirect
1285. #123C22×D67semidirect
1321. #121C22×D67semidirect
1348. C4×D4C22×D67semidirect
1349. C4×D4C22×D67semidirect
1361. #117C22×D67semidirect
1412. C2×C4⋊C4C22×D67semidirect
1899. C2#22574862direct (N × H)

Maximal subgroups

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

subgroupindex
#225748622
C2×#168641482
C2×#168641412
C2×#168641342
C2×#168641302
C2×#168641162
C2×#168641102
C2×#168640962
C2×#168640952
C2×#168640812
C2×#168640792
C2×#168640782
C2×#168640752
C2×#168640712
C2×#168640692
C2×#168640172
C2×#168640122
C2×#168640112
C2×#168640052
C2×#168640032
C2×#168639992
C2×#168639932
C2×#168639912
C2×#168639892
C2×#168639792
C2×#168639782
C2×#168639262
C2×#168639232
C2×#553×C672
C2×#356667