Finite Group Databasebeta

← C2×#22574690 #31763539

Subgroups — C2×#22574690 #31763539

Order 17152.

6446 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574690C2132yesmaximal, direct product factor
2C2×#16864150C211yesmaximal, characteristic, complemented
3C2×#16864148C211yesmaximal, characteristic, complemented
4C2×#16864147C211yesmaximal, characteristic, complemented
5C2×#16864145C211yesmaximal, characteristic, complemented
6C2×#16864126C211yesmaximal, characteristic, complemented
7C2×#16864124C211yesmaximal, characteristic, complemented
8C2×#16864123C211yesmaximal, characteristic, complemented
9C2×#16864123C211yesmaximal, characteristic, complemented
10C2×#16864118C211yesmaximal, characteristic, complemented
11C2×#16864114C211yesmaximal, characteristic, complemented
12C2×#16864113C211yesmaximal, characteristic, complemented
13C2×#16864113C211yesmaximal, characteristic, complemented
14C2×#16864113C211yesmaximal, characteristic, complemented
15C2×#16864100C211yesmaximal, characteristic, complemented
16C2×#16864079C211yesmaximal, characteristic, complemented
17C2×#16864078C211yesmaximal, characteristic, complemented
18C2×#16864026C211yesmaximal, characteristic, complemented
19C2×#16864025C211yesmaximal, characteristic, complemented
20C2×#16864016C211yesmaximal, characteristic
21C2×#16864012C211yesmaximal, characteristic
22C2×#16864005C211yesmaximal, characteristic, complemented
23C2×#16864005C211yesmaximal, characteristic, complemented
24C2×#16864005C211yesmaximal, characteristic, complemented
25C2×#16864005C211yesmaximal, characteristic, complemented
26C2×#16864004C211yesmaximal, characteristic, complemented
27C2×#16864003C211yesmaximal, characteristic, complemented
28C2×#16864003C211yesmaximal, characteristic, complemented
29C2×#16863952C211yesmaximal, characteristic, complemented
30C2×#16863950C211yesmaximal, characteristic, complemented
31C2×#16863929C211yesmaximal, characteristic
32C2×#541×C67C211yesmaximal, characteristic, complemented
33#16864150C22116yescomplemented
34#16864148C22116yescomplemented
35#16864147C22116yescomplemented
36#16864145C22116yescomplemented
37#16864126C22116yescomplemented
38#16864124C22116yescomplemented
39#16864123C22116yescomplemented
40#16864123C22116yescomplemented
41#16864118C22116yescomplemented
42#16864114C22116yescomplemented
43#16864113C22116yescomplemented
44#16864113C22116yescomplemented
45#16864113C22116yescomplemented
46#16864100C22116yescomplemented
47#16864079C22116yescomplemented
48#16864078C22116yescomplemented
49#16864026C22116yescomplemented
50#16864025C22116yescomplemented
51#16864016C22116yes—
52#16864012C22116yes—
53#16864005C22116yescomplemented
54#16864005C22116yescomplemented
55#16864005C22116yescomplemented
56#16864005C22116yescomplemented
57#16864004C22116yescomplemented
58#16864003C22116yescomplemented
59#16864003C22116yescomplemented
60#16863952C22116yescomplemented
61#16863950C22116yescomplemented
62C2×#14524043C2211yescharacteristic
63C2×#14524042C2211yescharacteristic
64C2×#14524042C2211yescharacteristic
65C2×#14524042C2211yescharacteristic
66C2×#14524042C2211yescharacteristic
67C2×#14524042C2211yescharacteristic
68C2×#14524042C2211yescharacteristic
69C2×#14524042C2211yescharacteristic
70C2×#14524042C2211yescharacteristic
71C2×#14524042C2211yescharacteristic
72C2×#14524042C2211yescharacteristic
73C2×#14524042C2211yescharacteristic
74C2×#14524041C2211yescharacteristic
75C2×#14524041C2211yescharacteristic
76C2×#14524041C2211yescharacteristic
77C2×#14524041C2211yescharacteristic
78C2×#14524041C2211yescharacteristic
79#16863929C22116yes—
80C2×#14524038C2211yescharacteristic
81C2×#14524038C2211yescharacteristic
82C2×#14524038C2211yescharacteristic
83C2×#14524038C2211yescharacteristic
84C2×#14524038C2211yescharacteristic
85C2×#14524038C2211yescharacteristic
86C2×#14524038C2211yescharacteristic
87C2×#14524038C2211yescharacteristic
88C2×#14524038C2211yescharacteristic
89C2×#14524038C2211yescharacteristic
90C2×#14524038C2211yescharacteristic
91C2×#14524038C2211yescharacteristic
92C2×#14524037C2211yescharacteristic
93C2×#14524037C2211yescharacteristic
94C2×#14524037C2211yescharacteristic
95C2×#14524037C2211yescharacteristic
96C2×#14524037C2211yescharacteristic
97C2×#14524036C2211yescharacteristic
98C2×#14524036C2211yescharacteristic
99C2×#14524036C2211yescharacteristic
100C2×#14524036C2211yescharacteristic
101C2×#14524036C2211yescharacteristic
102C2×#14524035C2211yescharacteristic
103C2×#14524035C2211yescharacteristic
104C2×#14524035C2211yescharacteristic
105C2×#14524034C2211yescharacteristic
106C2×#14524034C2211yescharacteristic
107C2×#14524034C2211yescharacteristic
108C2×#14524034C2211yescharacteristic
109C2×#14524033C2211yescharacteristic
110C2×#14524033C2211yescharacteristic
111C2×#14524033C2211yescharacteristic
112C2×#14524033C2211yescharacteristic
113C2×#14524033C2211yescharacteristic
114C2×#14524033C2211yescharacteristic
115C2×#14524033C2211yescharacteristic
116C2×#14524033C2211yescharacteristic
117C2×#14524033C2211yescharacteristic
118C2×#14524033C2211yescharacteristic
119C2×#14524033C2211yescharacteristic
120C2×#14524033C2211yescharacteristic
121C2×#14524033C2211yescharacteristic
122C2×#14524033C2211yescharacteristic
123C2×#14524033C2211yescharacteristic
124C2×#14524033C2211yescharacteristic
125C2×#14524033C2211yescharacteristic
126C2×#14524032C2211yescharacteristic
127C2×#14524031C2211yescharacteristic
128C2×#14524029C2211yescharacteristic
129C2×#14524029C2211yescharacteristic
130C2×#14524029C2211yescharacteristic
131C2×#14524029C2211yescharacteristic
132C2×#14524029C2211yescharacteristic
133C2×#14524028C2211yescharacteristic
134C2×#14524028C2211yescharacteristic
135C2×#14524028C2211yescharacteristic
136C2×#14524027C2211yescharacteristic
137C2×#14524026C2211yescharacteristic
138C2×#14524025C2211yescharacteristic
139C2×#14524023C2211yescharacteristic
140C2×#14524023C2211yescharacteristic
141C2×#14524023C2211yescharacteristic
142C2×#14524022C2211yescharacteristic
143C2×#14524021C2211yescharacteristic
144C2×#14524021C2211yescharacteristic
145C2×#14524021C2211yescharacteristic
146C2×#14524021C2211yescharacteristic
147C2×#14524021C2211yescharacteristic
148C2×#14524021C2211yescharacteristic
149C2×#14524021C2211yescharacteristic
150C2×#14524021C2211yescharacteristic
151C2×#14524021C2211yescharacteristic
152C2×#14524021C2211yescharacteristic
153C2×#14524021C2211yescharacteristic
154C2×#14524021C2211yescharacteristic
155C2×#14524020C2211yescharacteristic
156C2×#14524020C2211yescharacteristic
157C2×#14524020C2211yescharacteristic
158C2×#14524020C2211yescharacteristic
159C2×#14524020C2211yescharacteristic
160C2×#14524019C2211yescharacteristic
161C2×#14524019C2211yescharacteristic
162C2×#14524016C2211yescharacteristic
163C2×C4×Dic134C2211yescharacteristic
164C2×C4×Dic134C2211yescharacteristic
165C2×C4×Dic134C2211yescharacteristic
166C2×C4×Dic134C2211yescharacteristic
167C2×C4×Dic134C2211yescharacteristic
168C2×C4×Dic134C2211yescharacteristic
169C2×C4×Dic134C2211yescharacteristic
170C2×C4×Dic134C2211yescharacteristic
171C2×C4×Dic134C2211yescharacteristic
172C2×#14524008C2211yescharacteristic
173C2×#14524008C2211yescharacteristic
174C2×#14524008C2211yescharacteristic
175C2×#14524008C2211yescharacteristic
176C2×#14524008C2211yescharacteristic
177C2×#14524008C2211yescharacteristic
178C2×#14524008C2211yescharacteristic
179C2×#14524008C2211yescharacteristic
180C2×#14524008C2211yescharacteristic
181C2×#14524008C2211yescharacteristic
182C2×#14524008C2211yescharacteristic
183C2×#14524008C2211yescharacteristic
184C2×#14524005C2211yescharacteristic
185C2×C4×C22⋊D67C2211yescharacteristic
186C2×(C22⋊D67)⋊C4C2211yescharacteristic
187C2×(C22⋊D67)⋊C4C2211yescharacteristic
188C2×(C22⋊D67)⋊C4C2211yescharacteristic
189C2×#14524001C2211yescharacteristic
190C2×#14524001C2211yescharacteristic
191C2×#14524001C2211yescharacteristic
192C2×#14524001C2211yescharacteristic
193C2×#14524000C2211yescharacteristic
194C2×#14524000C2211yescharacteristic
195C2×#14524000C2211yescharacteristic
196C2×#14524000C2211yescharacteristic
197C2×#14523999C2211yescharacteristic
198C2×#14523999C2211yescharacteristic
199C2×#14523999C2211yescharacteristic
200C22×Dic67⋊C4C2211yescharacteristic
201C2×C4⋊C4×D67C2211yescharacteristic
202C2×C42×D67C2211yescharacteristic
203#541×C67C22116yescomplemented
204C2×C4⋊Q8×C67C2211yescharacteristic
205C2×#126×C67C2211yescharacteristic
206C2×#126×C67C2211yescharacteristic
207C2×#126×C67C2211yescharacteristic
208C2×#126×C67C2211yescharacteristic
209C2×#125×C67C2211yescharacteristic
210C2×#125×C67C2211yescharacteristic
211C2×#125×C67C2211yescharacteristic
212C2×#125×C67C2211yescharacteristic
213C2×#125×C67C2211yescharacteristic
214C2×C22⋊Q8×C67C2211yescharacteristic
215C2×C22⋊Q8×C67C2211yescharacteristic
216C2×C4×Q8×C67C2211yescharacteristic
217C2×C4×Q8×C67C2211yescharacteristic
218C2×#117×C67C2211yescharacteristic
219C22×Dic134C2311yescharacteristic
220C22×Dic134C2311yescharacteristic
221C22×Dic134C2311yescharacteristic
222C22×Dic134C2311yescharacteristic
223C22×Dic134C2311yescharacteristic
224C22×Dic134C2311yescharacteristic
225C22×Dic134C2311yescharacteristic
226C22×Dic134C2311yescharacteristic
227C22×Dic134C2311yescharacteristic
228C22×Dic134C2311yescharacteristic
229C22×Dic134C2311yescharacteristic
230C22×D268C2311yescharacteristic
231C22×C22⋊D67C2311yescharacteristic
232C22×C22⋊D67C2311yescharacteristic
233C23×Dic67C2311yescharacteristic
234C23×Dic67C2311yescharacteristic
235C22×C4×D67C2311yescharacteristic
236C22×C4×D67C2311yescharacteristic
237C22×C4×D67C2311yescharacteristic
238C22×C4×D67C2311yescharacteristic
239C22×C4×D67C2311yescharacteristic
240C22×C4×D67C2311yescharacteristic
241#14524043C2318yes—
242#14524042C2318yes—
243#14524042C2318yes—
244#14524042C2318yes—
245#14524042C2318yes—
246#14524042C2318yes—
247#14524042C2318yes—
248#14524042C2318yes—
249#14524042C2318yes—
250#14524042C2318yes—
251#14524042C2318yes—
252#14524042C2318yes—
253#14524041C2318yes—
254#14524041C2318yes—
255#14524041C2318yes—
256#14524041C2318yes—
257#14524041C2318yes—
258#14524038C2318yes—
259#14524038C2318yes—
260#14524038C2318yes—
261#14524038C2318yes—
262#14524038C2318yes—
263#14524038C2318yes—
264#14524038C2318yes—
265#14524038C2318yes—
266#14524038C2318yes—
267#14524038C2318yes—
268#14524038C2318yes—
269#14524038C2318yes—
270#14524037C2318yes—
271#14524037C2318yes—
272#14524037C2318yes—
273#14524037C2318yes—
274#14524037C2318yes—
275#14524036C2318yes—
276#14524036C2318yes—
277#14524036C2318yes—
278#14524036C2318yes—
279#14524036C2318yes—
280#14524035C2318yes—
281#14524035C2318yes—
282#14524035C2318yes—
283#14524034C2318yes—
284#14524034C2318yes—
285#14524034C2318yes—
286#14524034C2318yes—
287#14524033C2318yes—
288#14524033C2318yes—
289#14524033C2318yes—
290#14524033C2318yes—
291#14524033C2318yes—
292#14524033C2318yes—
293#14524033C2318yes—
294#14524033C2318yes—
295#14524033C2318yes—
296#14524033C2318yes—
297#14524033C2318yes—
298#14524033C2318yes—
299#14524033C2318yes—
300#14524033C2318yes—
301#14524033C2318yes—
302#14524033C2318yes—
303#14524033C2318yes—
304#14524032C2318yes—
305#14524031C2318yes—
306#14524029C2318yes—
307#14524029C2318yes—
308#14524029C2318yes—
309#14524029C2318yes—
310#14524029C2318yes—
311#14524028C2318yes—
312#14524028C2318yes—
313#14524028C2318yes—
314#14524027C2318yes—
315#14524026C2318yes—
316#14524025C2318yes—
317#14524023C2318yes—
318#14524023C2318yes—
319#14524023C2318yes—
320#14524022C2318yes—
321#14524021C2318yes—
322#14524021C2318yes—
323#14524021C2318yes—
324#14524021C2318yes—
325#14524021C2318yes—
326#14524021C2318yes—
327#14524021C2318yes—
328#14524021C2318yes—
329#14524021C2318yes—
330#14524021C2318yes—
331#14524021C2318yes—
332#14524021C2318yes—
333#14524020C2318yes—
334#14524020C2318yes—
335#14524020C2318yes—
336#14524020C2318yes—
337#14524020C2318yes—
338#14524019C2318yes—
339#14524019C2318yes—
340#14524016C2318yes—
341C4×Dic134C2318yes—
342C4×Dic134C2318yes—
343C4×Dic134C2318yes—
344C4×Dic134C2318yes—
345C4×Dic134C2318yes—
346C4×Dic134C2318yes—
347C4×Dic134C2318yes—
348C4×Dic134C2318yes—
349C4×Dic134C2318yes—
350#14524008C2318yes—
351#14524008C2318yes—
352#14524008C2318yes—
353#14524008C2318yes—
354#14524008C2318yes—
355#14524008C2318yes—
356#14524008C2318yes—
357#14524008C2318yes—
358#14524008C2318yes—
359#14524008C2318yes—
360#14524008C2318yes—
361#14524008C2318yes—
362#14524005C2318yes—
363C4×C22⋊D67C2318yes—
364(C22⋊D67)⋊C4C2318yes—
365(C22⋊D67)⋊C4C2318yes—
366(C22⋊D67)⋊C4C2318yes—
367#14524001C2318yes—
368#14524001C2318yes—
369#14524001C2318yes—
370#14524001C2318yes—
371#14524000C2318yes—
372#14524000C2318yes—
373#14524000C2318yes—
374#14524000C2318yes—
375#14523999C2318yes—
376#14523999C2318yes—
377#14523999C2318yes—
378C2×C4⋊Dic67C2311yescharacteristic
379C2×C4⋊Dic67C2311yescharacteristic
380C2×C4⋊Dic67C2311yescharacteristic
381C2×C4⋊Dic67C2311yescharacteristic
382C2×C4⋊Dic67C2311yescharacteristic
383C2×C4⋊Dic67C2311yescharacteristic
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×Dic67⋊C4C2318yes—
393C2×Dic67⋊C4C2311yescharacteristic
394C2×Dic67⋊C4C2311yescharacteristic
395C2×Dic67⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
423C2×Dic67⋊C4C2311yescharacteristic
424C2×Dic67⋊C4C2311yescharacteristic
425C2×Dic67⋊C4C2311yescharacteristic
426C2×Dic67⋊C4C2311yescharacteristic
427C2×Dic67⋊C4C2311yescharacteristic
428C2×Dic67⋊C4C2311yescharacteristic
429C2×Dic67⋊C4C2311yescharacteristic
430C2×Dic67⋊C4C2311yescharacteristic
431C2×Dic67⋊C4C2311yescharacteristic
432C2×Dic67⋊C4C2311yescharacteristic
433C4⋊C4×D67C2318yes—
434C2×C22⋊Dic67C2311yescharacteristic
435C2×C22⋊Dic67C2311yescharacteristic
436C2×C22⋊Dic67C2311yescharacteristic
437C2×C22⋊Dic67C2311yescharacteristic
438C2×(C2×D67)⋊C4C2311yescharacteristic
439C2×(C2×D67)⋊C4C2311yescharacteristic
440C2×(C2×D67)⋊C4C2311yescharacteristic
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×C4×Dic67C2311yescharacteristic
459C2×C4×Dic67C2311yescharacteristic
460C2×C4×Dic67C2311yescharacteristic
461C2×C4×Dic67C2311yescharacteristic
462C2×C4×Dic67C2311yescharacteristic
463C2×C4×Dic67C2311yescharacteristic
464C2×C4×Dic67C2311yescharacteristic
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
478C42×D67C2318yes—
479C22×Q8×C67C2311yescharacteristic
480C22×Q8×C67C2311yescharacteristic
481C23×C4×C67C2311yescharacteristic
482C4⋊Q8×C67C2318yes—
483#126×C67C2318yes—
484#126×C67C2318yes—
485#126×C67C2318yes—
486#126×C67C2318yes—
487#125×C67C2318yes—
488#125×C67C2318yes—
489#125×C67C2318yes—
490#125×C67C2318yes—
491#125×C67C2318yes—
492C22⋊Q8×C67C2318yes—
493C22⋊Q8×C67C2318yes—
494C4×Q8×C67C2318yes—
495C4×Q8×C67C2318yes—
496#117×C67C2318yes—
497C2×C4⋊C4×C67C2311yescharacteristic
498C2×C4⋊C4×C67C2311yescharacteristic
499C2×C4⋊C4×C67C2311yescharacteristic
500C2×C4⋊C4×C67C2311yescharacteristic
501C2×C4⋊C4×C67C2311yescharacteristic
502C2×C4⋊C4×C67C2311yescharacteristic
503C2×C4⋊C4×C67C2311yescharacteristic
504C2×C4⋊C4×C67C2311yescharacteristic
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×C67C2311yescharacteristic
516C2×C4⋊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×C42×C67C2311yescharacteristic
524C2×C42×C67C2311yescharacteristic
525C2×C42×C67C2311yescharacteristic
526C2×C42×C67C2311yescharacteristic
527C2×C42×C67C2311yescharacteristic
528C2×C42×C67C2311yescharacteristic
529C23×D67C2411yescharacteristic
530C23×D67C2411yescharacteristic
531C2×Dic134—24no—
532C2×Dic134—24no—
533C2×Dic134—24no—
534C2×Dic134—24no—
535C2×Dic134—24no—
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×Dic134C2414yes—
549C2×Dic134C2414yes—
550C2×Dic134C2414yes—
551C2×Dic134C2414yes—
552C2×Dic134C2414yes—
553C2×D268—42no—
554C2×D268C2414yes—
555C2×C22⋊D67—24no—
556C2×C22⋊D67—42no—
557C2×C22⋊D67C2414yes—
558C2×C22⋊D67C2414yes—
559C22×Dic67—24no—
560C22×Dic67—42no—
561C22×Dic67C2411yescharacteristic
562C22×Dic67C2411yescharacteristic
563C22×Dic67C2411yescharacteristic
564C22×Dic67C2411yescharacteristic
565C22×Dic67C2411yescharacteristic
566C22×Dic67C2411yescharacteristic
567C22×Dic67C2411yescharacteristic
568C22×Dic67C2411yescharacteristic
569C22×Dic67C2411yescharacteristic
570C22×Dic67C2411yescharacteristic
571C22×Dic67C2411yescharacteristic
572C22×Dic67C2411yescharacteristic
573C22×Dic67C2414yes—
574C22×Dic67C2414yes—
575C22×Dic67C2411yescharacteristic
576C22×Dic67C2411yescharacteristic
577C2×C4×D67—24no—
578C2×C4×D67—24no—
579C2×C4×D67—24no—
580C2×C4×D67—42no—
581C2×C4×D67—42no—
582C2×C4×D67—42no—
583C2×C4×D67C2414yes—
584C2×C4×D67C2414yes—
585C2×C4×D67C2414yes—
586C2×C4×D67C2414yes—
587C2×C4×D67C2414yes—
588C2×C4×D67C2414yes—
589C4⋊Dic67C2414yes—
590C4⋊Dic67C2414yes—
591C4⋊Dic67C2414yes—
592C4⋊Dic67C2414yes—
593C4⋊Dic67C2414yes—
594C4⋊Dic67C2414yes—
595C4⋊Dic67C2414yes—
596C4⋊Dic67C2414yes—
597C4⋊Dic67C2414yes—
598C4⋊Dic67C2414yes—
599C4⋊Dic67C2414yes—
600C4⋊Dic67C2414yes—
601C4⋊Dic67C2414yes—
602C4⋊Dic67C2414yes—
603Dic67⋊C4C2414yes—
604Dic67⋊C4C2414yes—
605Dic67⋊C4C2414yes—
606Dic67⋊C4C2414yes—
607Dic67⋊C4C2414yes—
608Dic67⋊C4C2414yes—
609Dic67⋊C4C2414yes—
610Dic67⋊C4C2414yes—
611Dic67⋊C4C2414yes—
612Dic67⋊C4C2414yes—
613Dic67⋊C4C2414yes—
614Dic67⋊C4C2414yes—
615Dic67⋊C4C2414yes—
616Dic67⋊C4C2414yes—
617Dic67⋊C4C2414yes—
618Dic67⋊C4C2414yes—
619Dic67⋊C4C2414yes—
620Dic67⋊C4C2414yes—
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—
643C22⋊Dic67C2414yes—
644C22⋊Dic67C2414yes—
645C22⋊Dic67C2414yes—
646C22⋊Dic67C2414yes—
647(C2×D67)⋊C4C2414yes—
648(C2×D67)⋊C4C2414yes—
649(C2×D67)⋊C4C2414yes—
650(C2×D67)⋊C4C2414yes—
651(C2×D67)⋊C4C2414yes—
652(C2×D67)⋊C4C2414yes—
653(C2×D67)⋊C4C2414yes—
654(C2×D67)⋊C4C2414yes—
655(C2×D67)⋊C4C2414yes—
656(C2×D67)⋊C4C2414yes—
657(C2×D67)⋊C4C2414yes—
658(C2×D67)⋊C4C2414yes—
659(C2×D67)⋊C4C2414yes—
660(C2×D67)⋊C4C2414yes—
661(C2×D67)⋊C4C2414yes—
662(C2×D67)⋊C4C2414yes—
663(C2×D67)⋊C4C2414yes—
664(C2×D67)⋊C4C2414yes—
665(C2×D67)⋊C4C2414yes—
666(C2×D67)⋊C4C2414yes—
667C4×Dic67C2414yes—
668C4×Dic67C2414yes—
669C4×Dic67C2414yes—
670C4×Dic67C2414yes—
671C4×Dic67C2414yes—
672C4×Dic67C2414yes—
673C4×Dic67C2414yes—
674C4×Dic67C2414yes—
675C4×Dic67C2414yes—
676C4×Dic67C2414yes—
677C4×Dic67C2414yes—
678C4×Dic67C2414yes—
679C4×Dic67C2414yes—
680C4×Dic67C2414yes—
681C4×Dic67C2414yes—
682C4×Dic67C2414yes—
683C4×Dic67C2414yes—
684C4×Dic67C2414yes—
685C4×Dic67C2414yes—
686C4×Dic67C2414yes—
687C24×C67C2411yescharacteristic
688C2×Q8×C67—42no—
689C2×Q8×C67—42no—
690C2×Q8×C67C2414yes—
691C2×Q8×C67C2414yes—
692C22×C4×C67—42no—
693C22×C4×C67C2411yescharacteristic
694C22×C4×C67C2411yescharacteristic
695C22×C4×C67C2411yescharacteristic
696C22×C4×C67C2411yescharacteristic
697C22×C4×C67C2411yescharacteristic
698C22×C4×C67C2411yescharacteristic
699C22×C4×C67C2411yescharacteristic
700C22×C4×C67C2411yescharacteristic
701C22×C4×C67C2411yescharacteristic
702C22×C4×C67C2411yescharacteristic
703C22×C4×C67C2411yescharacteristic
704C22×C4×C67C2411yescharacteristic
705C22×C4×C67C2411yescharacteristic
706C22×C4×C67C2411yescharacteristic
707C22×C4×C67C2414yes—
708C4⋊C4×C67C2414yes—
709C4⋊C4×C67C2414yes—
710C4⋊C4×C67C2414yes—
711C4⋊C4×C67C2414yes—
712C4⋊C4×C67C2414yes—
713C4⋊C4×C67C2414yes—
714C4⋊C4×C67C2414yes—
715C4⋊C4×C67C2414yes—
716C4⋊C4×C67C2414yes—
717C4⋊C4×C67C2414yes—
718C4⋊C4×C67C2414yes—
719C4⋊C4×C67C2414yes—
720C4⋊C4×C67C2414yes—
721C4⋊C4×C67C2414yes—
722C4⋊C4×C67C2414yes—
723C4⋊C4×C67C2414yes—
724C4⋊C4×C67C2414yes—
725C4⋊C4×C67C2414yes—
726C4⋊C4×C67C2414yes—
727C4⋊C4×C67C2414yes—
728C22⋊C4×C67C2414yes—
729C22⋊C4×C67C2414yes—
730C22⋊C4×C67C2414yes—
731C22⋊C4×C67C2414yes—
732C22⋊C4×C67C2414yes—
733C22⋊C4×C67C2414yes—
734C42×C67C2414yes—
735C42×C67C2414yes—
736C42×C67C2414yes—
737C42×C67C2414yes—
738C42×C67C2414yes—
739C42×C67C2414yes—
740C23×C67—22no—
741C23×C67—22no—
742C23×C67—22no—
743C23×C67C2512yes—
744C23×C67C2511yescharacteristic
745C22×D67—22no—
746C22×D67—22no—
747C22×D67—22no—
748C22×D67—22no—
749C22×D67—22no—
750C22×D67—22no—
751C22×D67C2512yes—
752C22×D67C2512yes—
753Q8×C67—44no—
754Q8×C67—44no—
755C2×C4×C67—22no—
756C2×C4×C67—22no—
757C2×C4×C67—22no—
758C2×C4×C67—22no—
759C2×C4×C67—22no—
760C2×C4×C67—22no—
761C2×C4×C67—22no—
762C2×C4×C67—22no—
763C2×C4×C67—22no—
764C2×C4×C67—22no—
765C2×C4×C67—22no—
766C2×C4×C67—22no—
767C2×C4×C67—22no—
768C2×C4×C67—22no—
769C2×C4×C67—44no—
770C2×C4×C67C2512yes—
771C2×C4×C67C2512yes—
772C2×C4×C67C2512yes—
773C2×C4×C67C2512yes—
774C2×C4×C67C2512yes—
775C2×C4×C67C2512yes—
776C2×C4×C67C2512yes—
777C2×C4×C67C2512yes—
778C2×C4×C67C2512yes—
779C2×C4×C67C2512yes—
780C2×C4×C67C2512yes—
781C2×C4×C67C2512yes—
782C2×C4×C67C2512yes—
783C2×C4×C67C2512yes—
784C22⋊D67—28no—
785C22⋊D67—44no—
786C2×Dic67—22no—
787C2×Dic67—22no—
788C2×Dic67—22no—
789C2×Dic67—22no—
790C2×Dic67—22no—
791C2×Dic67—22no—
792C2×Dic67—22no—
793C2×Dic67—22no—
794C2×Dic67—22no—
795C2×Dic67—22no—
796C2×Dic67—22no—
797C2×Dic67—22no—
798C2×Dic67—28no—
799C2×Dic67—44no—
800C2×Dic672−1+414yes—
801C2×Dic672−1+414yes—
802C2×Dic67C2512yes—
803C2×Dic67C2512yes—
804C2×Dic67C2512yes—
805C2×Dic67C2512yes—
806C2×Dic67C2512yes—
807C2×Dic67C2512yes—
808C2×Dic67C2512yes—
809C2×Dic67C2512yes—
810C2×Dic67C2512yes—
811C2×Dic67C2512yes—
812C2×Dic67C2512yes—
813C2×Dic67C2512yes—
814C2×Dic67C2512yes—
815C2×Dic67C2512yes—
816D268—44no—
817C4×D67—28no—
818C4×D67—28no—
819C4×D67—28no—
820C4×D67—44no—
821C4×D67—44no—
822C4×D67—44no—
823Dic134—28no—
824Dic134—28no—
825Dic134—28no—
826Dic134—28no—
827Dic134—28no—
828Dic134—44no—
829Dic134—44no—
830Dic134—44no—
831Dic134—44no—
832Dic134—44no—
833Dic134—44no—
834C22×C67—22no—
835C22×C67—22no—
836C22×C67—22no—
837C22×C67—44no—
838C22×C67C2×2−1+412yes—
839C22×C67C2×2−1+412yes—
840C22×C67#58512yes—
841C22×C67C2611yescharacteristic
842C2×D67—22no—
843C2×D67—22no—
844C2×D67—22no—
845C2×D67—22no—
846C2×D67—22no—
847C2×D67—22no—
848C2×D67—44no—
849C2×D67—44no—
850C4×C67—22no—
851C4×C67—22no—
852C4×C67—22no—
853C4×C67—22no—
854C4×C67—22no—
855C4×C67—22no—
856C4×C67—22no—
857C4×C67—22no—
858C4×C67—22no—
859C4×C67—22no—
860C4×C67—22no—
861C4×C67—22no—
862C4×C67—22no—
863C4×C67—22no—
864Dic67—22no—
865Dic67—22no—
866Dic67—22no—
867Dic67—22no—
868Dic67—22no—
869Dic67—22no—
870Dic67—22no—
871Dic67—22no—
872Dic67—22no—
873Dic67—22no—
874Dic67—22no—
875Dic67—22no—
876Dic67C2×2−1+414yes—
877Dic67C2×2−1+414yes—
878C2×#3555—671nomaximal, Sylow
879C2×C67—42no—
880C2×C67#355514yescomplemented
881C2×C67C22×2−1+411yescharacteristic
882C2×C67C22×2−1+411yescharacteristic
883C2×C67C2×#58511yescharacteristic
884D67—42no—
885D67—42no—
886#3555—6732no—
887C2×#563—671no—
888C2×#563—671no—
889C2×#563—671no—
890C2×#563—671no—
891C2×Q82—671no—
892C2×#557—671no—
893C2×#557—671no—
894C2×#557—671no—
895C2×#556—671no—
896C2×#556—671no—
897C2×#556—671no—
898C2×#556—671no—
899C2×#556—671no—
900C2×#554—671no—
901C2×#552—671no—
902C2×#552—671no—
903C2×#544—671no—
904C2×#544—671no—
905C2×#542—671no—
906C2×#542—671no—
907C2×#541—671no—
908C2×#541—671no—
909C2×#541—671no—
910C2×#541—671no—
911C2×#541—671no—
912C2×#541—671no—
913C2×#541—671no—
914C2×#541D6711yescharacteristic, complemented
915C2×#533—671no—
916C2×#533—671no—
917C2×#529—671no—
918C67C2×#355511yescharacteristic, complemented, Sylow
919#563—6716no—
920#563—6716no—
921#563—6716no—
922#563—6716no—
923Q82—6716no—
924#557—6716no—
925#557—6716no—
926#557—6716no—
927#556—6716no—
928#556—6716no—
929#556—6716no—
930#556—6716no—
931#556—6716no—
932#554—6716no—
933#552—6716no—
934#552—6716no—
935#544—6716no—
936#544—6716no—
937#542—6716no—
938#542—6716no—
939#541—6716no—
940#541—6716no—
941#541—6716no—
942#541—6716no—
943#541—6716no—
944#541—6716no—
945#541—6716no—
946#541C2×D67116yescomplemented
947#533—6716no—
948#533—6716no—
949C2×C4⋊Q8—671no—
950C2×C4⋊Q8—671no—
951C2×C4⋊Q8—671no—
952C2×C4⋊Q8—671no—
953C2×C4⋊Q8—671no—
954C2×C4⋊Q8—671no—
955C2×C4⋊Q8—671no—
956C2×C4⋊Q8—671no—
957C2×C4⋊Q8—671no—
958C2×C4⋊Q8—671no—
959C2×C4⋊Q8—671no—
960C2×C4⋊Q8—671no—
961C2×C4⋊Q8—671no—
962C2×C4⋊Q8—671no—
963C2×C4⋊Q8—671no—
964C2×C4⋊Q8—671no—
965C2×C4⋊Q8—671no—
966C2×C4⋊Q8C2×D6711yescharacteristic
967#529—6716no—
968C2×#126—671no—
969C2×#126—671no—
970C2×#126—671no—
971C2×#126—671no—
972C2×#126—671no—
973C2×#126—671no—
974C2×#126—671no—
975C2×#126—671no—
976C2×#126—671no—
977C2×#126—671no—
978C2×#126—671no—
979C2×#126—671no—
980C2×#126—671no—
981C2×#126—671no—
982C2×#126—671no—
983C2×#126—671no—
984C2×#126—671no—
985C2×#126—671no—
986C2×#126—671no—
987C2×#126—671no—
988C2×#126—671no—
989C2×#126—671no—
990C2×#126C2×D6711yescharacteristic
991C2×#126C2×D6711yescharacteristic
992C2×#126C2×D6711yescharacteristic
993C2×#126C2×D6711yescharacteristic
994C2×#125—671no—
995C2×#125—671no—
996C2×#125—671no—
997C2×#125—671no—
998C2×#125—671no—
999C2×#125—671no—
1000C2×#125—671no—
1001C2×#125—671no—
1002C2×#125—671no—
1003C2×#125—671no—
1004C2×#125—671no—
1005C2×#125—671no—
1006C2×#125—671no—
1007C2×#125—671no—
1008C2×#125—671no—
1009C2×#125—671no—
1010C2×#125—671no—
1011C2×#125—671no—
1012C2×#125—671no—
1013C2×#125—671no—
1014C2×#125—671no—
1015C2×#125—671no—
1016C2×#125—671no—
1017C2×#125—671no—
1018C2×#125C2×D6711yescharacteristic
1019C2×#125C2×D6711yescharacteristic
1020C2×#125C2×D6711yescharacteristic
1021C2×#125C2×D6711yescharacteristic
1022C2×#125C2×D6711yescharacteristic
1023C2×#124—671no—
1024C2×#124—671no—
1025C2×#124—671no—
1026C2×#124—671no—
1027C2×#124—671no—
1028C2×#124—671no—
1029C2×#124—671no—
1030C2×#123—671no—
1031C2×#123—671no—
1032C2×#123—671no—
1033C2×#123—671no—
1034C2×#123—671no—
1035C2×#123—671no—
1036C2×C22⋊Q8—671no—
1037C2×C22⋊Q8—671no—
1038C2×C22⋊Q8—671no—
1039C2×C22⋊Q8—671no—
1040C2×C22⋊Q8—671no—
1041C2×C22⋊Q8—671no—
1042C2×C22⋊Q8—671no—
1043C2×C22⋊Q8—671no—
1044C2×C22⋊Q8—671no—
1045C2×C22⋊Q8—671no—
1046C2×C22⋊Q8—671no—
1047C2×C22⋊Q8—671no—
1048C2×C22⋊Q8—671no—
1049C2×C22⋊Q8—671no—
1050C2×C22⋊Q8—671no—
1051C2×C22⋊Q8—671no—
1052C2×C22⋊Q8—671no—
1053C2×C22⋊Q8—671no—
1054C2×C22⋊Q8—671no—
1055C2×C22⋊Q8—671no—
1056C2×C22⋊Q8—671no—
1057C2×C22⋊Q8—671no—
1058C2×C22⋊Q8—671no—
1059C2×C22⋊Q8C2×D6711yescharacteristic
1060C2×C22⋊Q8C2×D6711yescharacteristic
1061C2×#121—671no—
1062C2×C4×Q8—671no—
1063C2×C4×Q8—671no—
1064C2×C4×Q8—671no—
1065C2×C4×Q8—671no—
1066C2×C4×Q8—671no—
1067C2×C4×Q8—671no—
1068C2×C4×Q8—671no—
1069C2×C4×Q8—671no—
1070C2×C4×Q8—671no—
1071C2×C4×Q8—671no—
1072C2×C4×Q8—671no—
1073C2×C4×Q8—671no—
1074C2×C4×Q8—671no—
1075C2×C4×Q8—671no—
1076C2×C4×Q8—671no—
1077C2×C4×Q8—671no—
1078C2×C4×Q8—671no—
1079C2×C4×Q8—671no—
1080C2×C4×Q8—671no—
1081C2×C4×Q8—671no—
1082C2×C4×Q8—671no—
1083C2×C4×Q8C2×D6711yescharacteristic
1084C2×C4×Q8C2×D6711yescharacteristic
1085C2×C4×D4—671no—
1086C2×C4×D4—671no—
1087C2×C4×D4—671no—
1088C2×C4×D4—671no—
1089C2×C4×D4—671no—
1090C2×#117—671no—
1091C2×#117—671no—
1092C2×#117—671no—
1093C2×#117—671no—
1094C2×#117—671no—
1095C2×#117—671no—
1096C2×#117—671no—
1097C2×#117—671no—
1098C2×#117—671no—
1099C2×#117—671no—
1100C2×#117—671no—
1101C2×#117C2×D6711yescharacteristic
1102C22×C4⋊C4—671no—
1103C22×C4⋊C4—671no—
1104C22×C42—671no—
1105C22×Q8—671no—
1106C22×Q8—671no—
1107C22×Q8—671no—
1108C22×Q8—671no—
1109C22×Q8—671no—
1110C22×Q8—671no—
1111C22×Q8—671no—
1112C22×Q8—671no—
1113C22×Q8—671no—
1114C22×Q8—671no—
1115C22×Q8—671no—
1116C22×Q8C22×D6711yescharacteristic
1117C22×Q8C22×D6711yescharacteristic
1118C22×D4—671no—
1119C22×D4—671no—
1120C22×D4—671no—
1121C23×C4—671no—
1122C23×C4—671no—
1123C23×C4—671no—
1124C23×C4—671no—
1125C23×C4—671no—
1126C23×C4—671no—
1127C23×C4—671no—
1128C23×C4—671no—
1129C23×C4C22×D6711yescharacteristic
1130C4⋊Q8—678no—
1131C4⋊Q8—678no—
1132C4⋊Q8—678no—
1133C4⋊Q8—678no—
1134C4⋊Q8—678no—
1135C4⋊Q8—678no—
1136C4⋊Q8—678no—
1137C4⋊Q8—678no—
1138C4⋊Q8—678no—
1139C4⋊Q8—678no—
1140C4⋊Q8—678no—
1141C4⋊Q8—678no—
1142C4⋊Q8—678no—
1143C4⋊Q8—678no—
1144C4⋊Q8—678no—
1145C4⋊Q8—678no—
1146C4⋊Q8—678no—
1147C4⋊Q8C22×D6718yes—
1148#126—678no—
1149#126—678no—
1150#126—678no—
1151#126—678no—
1152#126—678no—
1153#126—678no—
1154#126—678no—
1155#126—678no—
1156#126—678no—
1157#126—678no—
1158#126—678no—
1159#126—678no—
1160#126—678no—
1161#126—678no—
1162#126—678no—
1163#126—678no—
1164#126—678no—
1165#126—678no—
1166#126—678no—
1167#126—678no—
1168#126—678no—
1169#126—678no—
1170#126C22×D6718yes—
1171#126C22×D6718yes—
1172#126C22×D6718yes—
1173#126C22×D6718yes—
1174#125—678no—
1175#125—678no—
1176#125—678no—
1177#125—678no—
1178#125—678no—
1179#125—678no—
1180#125—678no—
1181#125—678no—
1182#125—678no—
1183#125—678no—
1184#125—678no—
1185#125—678no—
1186#125—678no—
1187#125—678no—
1188#125—678no—
1189#125—678no—
1190#125—678no—
1191#125—678no—
1192#125—678no—
1193#125—678no—
1194#125—678no—
1195#125—678no—
1196#125—678no—
1197#125—678no—
1198#125C22×D6718yes—
1199#125C22×D6718yes—
1200#125C22×D6718yes—
1201#125C22×D6718yes—
1202#125C22×D6718yes—
1203#124—678no—
1204#124—678no—
1205#124—678no—
1206#124—678no—
1207#124—678no—
1208#124—678no—
1209#124—678no—
1210#123—678no—
1211#123—678no—
1212#123—678no—
1213#123—678no—
1214#123—678no—
1215#123—678no—
1216C22⋊Q8—678no—
1217C22⋊Q8—678no—
1218C22⋊Q8—678no—
1219C22⋊Q8—678no—
1220C22⋊Q8—678no—
1221C22⋊Q8—678no—
1222C22⋊Q8—678no—
1223C22⋊Q8—678no—
1224C22⋊Q8—678no—
1225C22⋊Q8—678no—
1226C22⋊Q8—678no—
1227C22⋊Q8—678no—
1228C22⋊Q8—678no—
1229C22⋊Q8—678no—
1230C22⋊Q8—678no—
1231C22⋊Q8—678no—
1232C22⋊Q8—678no—
1233C22⋊Q8—678no—
1234C22⋊Q8—678no—
1235C22⋊Q8—678no—
1236C22⋊Q8—678no—
1237C22⋊Q8—678no—
1238C22⋊Q8—678no—
1239C22⋊Q8C22×D6718yes—
1240C22⋊Q8C22×D6718yes—
1241#121—678no—
1242C4×Q8—678no—
1243C4×Q8—678no—
1244C4×Q8—678no—
1245C4×Q8—678no—
1246C4×Q8—678no—
1247C4×Q8—678no—
1248C4×Q8—678no—
1249C4×Q8—678no—
1250C4×Q8—678no—
1251C4×Q8—678no—
1252C4×Q8—678no—
1253C4×Q8—678no—
1254C4×Q8—678no—
1255C4×Q8—678no—
1256C4×Q8—678no—
1257C4×Q8—678no—
1258C4×Q8—678no—
1259C4×Q8—678no—
1260C4×Q8—678no—
1261C4×Q8—678no—
1262C4×Q8—678no—
1263C4×Q8C22×D6718yes—
1264C4×Q8C22×D6718yes—
1265C4×D4—678no—
1266C4×D4—678no—
1267C4×D4—678no—
1268C4×D4—678no—
1269C4×D4—678no—
1270#117—678no—
1271#117—678no—
1272#117—678no—
1273#117—678no—
1274#117—678no—
1275#117—678no—
1276#117—678no—
1277#117—678no—
1278#117—678no—
1279#117—678no—
1280#117—678no—
1281#117C22×D6718yes—
1282C2×C4⋊C4—671no—
1283C2×C4⋊C4—671no—
1284C2×C4⋊C4—671no—
1285C2×C4⋊C4—671no—
1286C2×C4⋊C4—671no—
1287C2×C4⋊C4—671no—
1288C2×C4⋊C4—678no—
1289C2×C4⋊C4—671no—
1290C2×C4⋊C4—671no—
1291C2×C4⋊C4—671no—
1292C2×C4⋊C4—671no—
1293C2×C4⋊C4—671no—
1294C2×C4⋊C4—671no—
1295C2×C4⋊C4—671no—
1296C2×C4⋊C4—671no—
1297C2×C4⋊C4—671no—
1298C2×C4⋊C4—671no—
1299C2×C4⋊C4—671no—
1300C2×C4⋊C4—671no—
1301C2×C4⋊C4—671no—
1302C2×C4⋊C4—671no—
1303C2×C4⋊C4—671no—
1304C2×C4⋊C4—671no—
1305C2×C4⋊C4—671no—
1306C2×C4⋊C4—671no—
1307C2×C4⋊C4—671no—
1308C2×C4⋊C4—671no—
1309C2×C4⋊C4—671no—
1310C2×C4⋊C4—671no—
1311C2×C4⋊C4—671no—
1312C2×C4⋊C4—671no—
1313C2×C4⋊C4—671no—
1314C2×C4⋊C4—671no—
1315C2×C4⋊C4—671no—
1316C2×C4⋊C4—671no—
1317C2×C4⋊C4—671no—
1318C2×C4⋊C4—671no—
1319C2×C4⋊C4—671no—
1320C2×C4⋊C4—671no—
1321C2×C4⋊C4—671no—
1322C2×C4⋊C4—671no—
1323C2×C4⋊C4—671no—
1324C2×C4⋊C4—671no—
1325C2×C4⋊C4—671no—
1326C2×C4⋊C4—671no—
1327C2×C4⋊C4—671no—
1328C2×C4⋊C4—671no—
1329C2×C4⋊C4—671no—
1330C2×C4⋊C4—671no—
1331C2×C4⋊C4—671no—
1332C2×C4⋊C4—671no—
1333C2×C4⋊C4—671no—
1334C2×C4⋊C4—671no—
1335C2×C4⋊C4—671no—
1336C2×C4⋊C4—671no—
1337C2×C4⋊C4—678no—
1338C2×C4⋊C4C22×D6711yescharacteristic
1339C2×C4⋊C4C22×D6711yescharacteristic
1340C2×C4⋊C4C22×D6711yescharacteristic
1341C2×C4⋊C4C22×D6711yescharacteristic
1342C2×C4⋊C4C22×D6711yescharacteristic
1343C2×C4⋊C4C22×D6711yescharacteristic
1344C2×C4⋊C4C22×D6711yescharacteristic
1345C2×C4⋊C4C22×D6711yescharacteristic
1346C2×C4⋊C4C22×D6711yescharacteristic
1347C2×C4⋊C4C22×D6711yescharacteristic
1348C2×C4⋊C4C22×D6711yescharacteristic
1349C2×C4⋊C4C22×D6711yescharacteristic
1350C2×C4⋊C4C22×D6711yescharacteristic
1351C2×C4⋊C4C22×D6711yescharacteristic
1352C2×C4⋊C4C22×D6711yescharacteristic
1353C2×C4⋊C4C22×D6711yescharacteristic
1354C2×C4⋊C4C22×D6711yescharacteristic
1355C2×C4⋊C4C22×D6711yescharacteristic
1356C2×C4⋊C4C22×D6711yescharacteristic
1357C2×C4⋊C4C22×D6711yescharacteristic
1358C2×C22⋊C4—671no—
1359C2×C22⋊C4—671no—
1360C2×C22⋊C4—671no—
1361C2×C22⋊C4—671no—
1362C2×C22⋊C4—671no—
1363C2×C22⋊C4—671no—
1364C2×C22⋊C4—671no—
1365C2×C22⋊C4—671no—
1366C2×C22⋊C4—671no—
1367C2×C22⋊C4—671no—
1368C2×C22⋊C4—671no—
1369C2×C22⋊C4—671no—
1370C2×C22⋊C4—671no—
1371C2×C22⋊C4—671no—
1372C2×C22⋊C4—671no—
1373C2×C22⋊C4—671no—
1374C2×C22⋊C4—671no—
1375C2×C22⋊C4—671no—
1376C2×C22⋊C4—671no—
1377C2×C22⋊C4—671no—
1378C2×C22⋊C4—671no—
1379C2×C22⋊C4—671no—
1380C2×C22⋊C4—671no—
1381C2×C22⋊C4—671no—
1382C2×C22⋊C4C22×D6711yescharacteristic
1383C2×C22⋊C4C22×D6711yescharacteristic
1384C2×C22⋊C4C22×D6711yescharacteristic
1385C2×C22⋊C4C22×D6711yescharacteristic
1386C2×C22⋊C4C22×D6711yescharacteristic
1387C2×C22⋊C4C22×D6711yescharacteristic
1388C2×C42—671no—
1389C2×C42—671no—
1390C2×C42—671no—
1391C2×C42—671no—
1392C2×C42—671no—
1393C2×C42—671no—
1394C2×C42—671no—
1395C2×C42—671no—
1396C2×C42—671no—
1397C2×C42—671no—
1398C2×C42—671no—
1399C2×C42—671no—
1400C2×C42—671no—
1401C2×C42—671no—
1402C2×C42—671no—
1403C2×C42—671no—
1404C2×C42—671no—
1405C2×C42—671no—
1406C2×C42—671no—
1407C2×C42—671no—
1408C2×C42—678no—
1409C2×C42C22×D6711yescharacteristic
1410C2×C42C22×D6711yescharacteristic
1411C2×C42C22×D6711yescharacteristic
1412C2×C42C22×D6711yescharacteristic
1413C2×C42C22×D6711yescharacteristic
1414C2×C42C22×D6711yescharacteristic
1415C24—671no—
1416C24—671no—
1417C24C23×D6711yescharacteristic
1418C2×Q8—42no—
1419C2×Q8—42no—
1420C2×Q8—2682no—
1421C2×Q8—2682no—
1422C2×Q8—2682no—
1423C2×Q8—2682no—
1424C2×Q8—2682no—
1425C2×Q8—2682no—
1426C2×Q8—674no—
1427C2×Q8—674no—
1428C2×Q8—674no—
1429C2×Q8—674no—
1430C2×Q8—674no—
1431C2×Q8—674no—
1432C2×Q8—674no—
1433C2×Q8—674no—
1434C2×Q8—674no—
1435C2×Q8—674no—
1436C2×Q8—674no—
1437C2×Q8—1344no—
1438C2×Q8—1344no—
1439C2×Q8—1344no—
1440C2×Q8—1344no—
1441C2×Q8—1344no—
1442C2×Q8C23×D6714yes—
1443C2×Q8C23×D6714yes—
1444C2×D4—2682no—
1445C2×D4—2682no—
1446C2×D4—674no—
1447C2×D4—674no—
1448C2×D4—674no—
1449C2×D4—1344no—
1450C22×C4—42no—
1451C22×C4—2682no—
1452C22×C4—2682no—
1453C22×C4—2682no—
1454C22×C4—2682no—
1455C22×C4—674no—
1456C22×C4—674no—
1457C22×C4—674no—
1458C22×C4—674no—
1459C22×C4—671no—
1460C22×C4—671no—
1461C22×C4—674no—
1462C22×C4—671no—
1463C22×C4—671no—
1464C22×C4—671no—
1465C22×C4—671no—
1466C22×C4—671no—
1467C22×C4—671no—
1468C22×C4—671no—
1469C22×C4—671no—
1470C22×C4—671no—
1471C22×C4—671no—
1472C22×C4—671no—
1473C22×C4—671no—
1474C22×C4—674no—
1475C22×C4—674no—
1476C22×C4—674no—
1477C22×C4—1344no—
1478C22×C4—1344no—
1479C22×C4—1344no—
1480C22×C4—1344no—
1481C22×C4C23×D6711yescharacteristic
1482C22×C4C23×D6711yescharacteristic
1483C22×C4C23×D6711yescharacteristic
1484C22×C4C23×D6711yescharacteristic
1485C22×C4C23×D6711yescharacteristic
1486C22×C4C23×D6711yescharacteristic
1487C22×C4C23×D6711yescharacteristic
1488C22×C4C23×D6711yescharacteristic
1489C22×C4C23×D6711yescharacteristic
1490C22×C4C23×D6711yescharacteristic
1491C22×C4C23×D6711yescharacteristic
1492C22×C4C23×D6711yescharacteristic
1493C22×C4C23×D6711yescharacteristic
1494C22×C4C23×D6711yescharacteristic
1495C22×C4C23×D6714yes—
1496C4⋊C4—674no—
1497C4⋊C4—674no—
1498C4⋊C4—674no—
1499C4⋊C4—674no—
1500C4⋊C4—674no—
1501C4⋊C4—674no—
1502C4⋊C4—674no—
1503C4⋊C4—674no—
1504C4⋊C4—674no—
1505C4⋊C4—674no—
1506C4⋊C4—674no—
1507C4⋊C4—674no—
1508C4⋊C4—674no—
1509C4⋊C4—674no—
1510C4⋊C4—674no—
1511C4⋊C4—674no—
1512C4⋊C4—674no—
1513C4⋊C4—674no—
1514C4⋊C4—674no—
1515C4⋊C4—674no—
1516C4⋊C4—674no—
1517C4⋊C4—674no—
1518C4⋊C4—674no—
1519C4⋊C4—674no—
1520C4⋊C4—674no—
1521C4⋊C4—674no—
1522C4⋊C4—674no—
1523C4⋊C4—674no—
1524C4⋊C4—674no—
1525C4⋊C4—674no—
1526C4⋊C4—674no—
1527C4⋊C4—674no—
1528C4⋊C4—674no—
1529C4⋊C4—674no—
1530C4⋊C4—674no—
1531C4⋊C4—674no—
1532C4⋊C4—674no—
1533C4⋊C4—674no—
1534C4⋊C4—674no—
1535C4⋊C4—674no—
1536C4⋊C4—674no—
1537C4⋊C4—674no—
1538C4⋊C4—674no—
1539C4⋊C4—674no—
1540C4⋊C4—674no—
1541C4⋊C4—674no—
1542C4⋊C4—674no—
1543C4⋊C4—674no—
1544C4⋊C4—674no—
1545C4⋊C4—674no—
1546C4⋊C4—674no—
1547C4⋊C4—674no—
1548C4⋊C4—674no—
1549C4⋊C4—674no—
1550C4⋊C4C23×D6714yes—
1551C4⋊C4C23×D6714yes—
1552C4⋊C4C23×D6714yes—
1553C4⋊C4C23×D6714yes—
1554C4⋊C4C23×D6714yes—
1555C4⋊C4C23×D6714yes—
1556C4⋊C4C23×D6714yes—
1557C4⋊C4C23×D6714yes—
1558C4⋊C4C23×D6714yes—
1559C4⋊C4C23×D6714yes—
1560C4⋊C4C23×D6714yes—
1561C4⋊C4C23×D6714yes—
1562C4⋊C4C23×D6714yes—
1563C4⋊C4C23×D6714yes—
1564C4⋊C4C23×D6714yes—
1565C4⋊C4C23×D6714yes—
1566C4⋊C4C23×D6714yes—
1567C4⋊C4C23×D6714yes—
1568C4⋊C4C23×D6714yes—
1569C4⋊C4C23×D6714yes—
1570C22⋊C4—674no—
1571C22⋊C4—674no—
1572C22⋊C4—674no—
1573C22⋊C4—674no—
1574C22⋊C4—674no—
1575C22⋊C4—674no—
1576C22⋊C4—674no—
1577C22⋊C4—674no—
1578C22⋊C4—674no—
1579C22⋊C4—674no—
1580C22⋊C4—674no—
1581C22⋊C4—674no—
1582C22⋊C4—674no—
1583C22⋊C4—674no—
1584C22⋊C4—674no—
1585C22⋊C4—674no—
1586C22⋊C4—674no—
1587C22⋊C4—674no—
1588C22⋊C4—674no—
1589C22⋊C4—674no—
1590C22⋊C4—674no—
1591C22⋊C4—674no—
1592C22⋊C4—674no—
1593C22⋊C4—674no—
1594C22⋊C4C23×D6714yes—
1595C22⋊C4C23×D6714yes—
1596C22⋊C4C23×D6714yes—
1597C22⋊C4C23×D6714yes—
1598C22⋊C4C23×D6714yes—
1599C22⋊C4C23×D6714yes—
1600C42—674no—
1601C42—674no—
1602C42—674no—
1603C42—674no—
1604C42—674no—
1605C42—674no—
1606C42—674no—
1607C42—674no—
1608C42—674no—
1609C42—674no—
1610C42—674no—
1611C42—674no—
1612C42—674no—
1613C42—674no—
1614C42—674no—
1615C42—674no—
1616C42—674no—
1617C42—674no—
1618C42—674no—
1619C42—674no—
1620C42C23×D6714yes—
1621C42C23×D6714yes—
1622C42C23×D6714yes—
1623C42C23×D6714yes—
1624C42C23×D6714yes—
1625C42C23×D6714yes—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—672no—
1630C23—672no—
1631C23—1342no—
1632C23—1342no—
1633C23—1342no—
1634C23—1342no—
1635C23—1342no—
1636C23—1342no—
1637C23C24×D6712yes—
1638C23C24×D6711yescharacteristic
1639Q8—44no—
1640Q8—44no—
1641Q8—2684no—
1642Q8—2684no—
1643Q8—2684no—
1644Q8—2684no—
1645Q8—2684no—
1646Q8—2684no—
1647Q8—1348no—
1648Q8—1348no—
1649Q8—1348no—
1650Q8—1348no—
1651Q8—1348no—
1652D4—2684no—
1653D4—2684no—
1654D4—1348no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—44no—
1670C2×C4—2684no—
1671C2×C4—2684no—
1672C2×C4—2684no—
1673C2×C4—2684no—
1674C2×C4—674no—
1675C2×C4—674no—
1676C2×C4—672no—
1677C2×C4—672no—
1678C2×C4—672no—
1679C2×C4—672no—
1680C2×C4—672no—
1681C2×C4—672no—
1682C2×C4—672no—
1683C2×C4—672no—
1684C2×C4—672no—
1685C2×C4—672no—
1686C2×C4—672no—
1687C2×C4—672no—
1688C2×C4—672no—
1689C2×C4—672no—
1690C2×C4—1348no—
1691C2×C4—1348no—
1692C2×C4—1348no—
1693C2×C4—1348no—
1694C2×C4—1342no—
1695C2×C4—1342no—
1696C2×C4—1342no—
1697C2×C4—1342no—
1698C2×C4—1342no—
1699C2×C4—1342no—
1700C2×C4—1342no—
1701C2×C4—1342no—
1702C2×C4—1342no—
1703C2×C4—1342no—
1704C2×C4—1342no—
1705C2×C4—1342no—
1706C2×C4C24×D6712yes—
1707C2×C4C24×D6712yes—
1708C2×C4C24×D6712yes—
1709C2×C4C24×D6712yes—
1710C2×C4C24×D6712yes—
1711C2×C4C24×D6712yes—
1712C2×C4C24×D6712yes—
1713C2×C4C24×D6712yes—
1714C2×C4C24×D6712yes—
1715C2×C4C24×D6712yes—
1716C2×C4C24×D6712yes—
1717C2×C4C24×D6712yes—
1718C2×C4C24×D6712yes—
1719C2×C4C24×D6712yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—44no—
1724C22—2684no—
1725C22—2684no—
1726C22—1342no—
1727C22—1342no—
1728C22—1342no—
1729C22—1342no—
1730C22—1342no—
1731C22—1342no—
1732C222−1+4×D6712yes—
1733C222−1+4×D6712yes—
1734C22#1686423212yes—
1735C22C25×D6711yescharacteristic
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—674no—
1751C4—674no—
1752C4—1342no—
1753C4—1342no—
1754C4—1342no—
1755C4—1342no—
1756C4—1342no—
1757C4—1342no—
1758C4—1342no—
1759C4—1342no—
1760C4—1342no—
1761C4—1342no—
1762C4—1342no—
1763C4—1342no—
1764C2—42no—
1765C2—2682no—
1766C2—2682no—
1767C2#2257469014yesdirect product factor
1768C2C2×2−1+4×D6711yescharacteristic
1769C2C2×2−1+4×D6711yescharacteristic
1770C2C2×#1686423211yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#541×C67C2
socleC23×C67C25
prime radicalC2×#14524016C22
hypercenterC2×#541D67
hypocenterC67C2×#3555
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #22574690C2direct (N × H)
2. C2×#16864150C2semidirect
3. C2×#16864148C2semidirect
4. C2×#16864147C2semidirect
5. C2×#16864145C2semidirect
6. C2×#16864126C2semidirect
7. C2×#16864124C2semidirect
8. C2×#16864123C2semidirect
9. C2×#16864123C2semidirect
10. C2×#16864118C2semidirect
11. C2×#16864114C2semidirect
12. C2×#16864113C2semidirect
13. C2×#16864113C2semidirect
14. C2×#16864113C2semidirect
15. C2×#16864100C2semidirect
16. C2×#16864079C2semidirect
17. C2×#16864078C2semidirect
18. C2×#16864026C2semidirect
19. C2×#16864025C2semidirect
22. C2×#16864005C2semidirect
23. C2×#16864005C2semidirect
24. C2×#16864005C2semidirect
25. C2×#16864005C2semidirect
26. C2×#16864004C2semidirect
27. C2×#16864003C2semidirect
28. C2×#16864003C2semidirect
29. C2×#16863952C2semidirect
30. C2×#16863950C2semidirect
32. C2×#541×C67C2semidirect
33. #16864150C22semidirect
34. #16864148C22semidirect
35. #16864147C22semidirect
36. #16864145C22semidirect
37. #16864126C22semidirect
38. #16864124C22semidirect
39. #16864123C22semidirect
40. #16864123C22semidirect
41. #16864118C22semidirect
42. #16864114C22semidirect
43. #16864113C22semidirect
44. #16864113C22semidirect
45. #16864113C22semidirect
46. #16864100C22semidirect
47. #16864079C22semidirect
48. #16864078C22semidirect
49. #16864026C22semidirect
50. #16864025C22semidirect
53. #16864005C22semidirect
54. #16864005C22semidirect
55. #16864005C22semidirect
56. #16864005C22semidirect
57. #16864004C22semidirect
58. #16864003C22semidirect
59. #16864003C22semidirect
60. #16863952C22semidirect
61. #16863950C22semidirect
203. #541×C67C22semidirect
880. C2×C67#3555semidirect
914. C2×#541D67semidirect
918. C67C2×#3555semidirect
946. #541C2×D67semidirect
1767. C2#22574690direct (N × H)

Maximal subgroups

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

subgroupindex
#225746902
C2×#168641502
C2×#168641482
C2×#168641472
C2×#168641452
C2×#168641262
C2×#168641242
C2×#168641232
C2×#168641182
C2×#168641142
C2×#168641132
C2×#168641002
C2×#168640792
C2×#168640782
C2×#168640262
C2×#168640252
C2×#168640162
C2×#168640122
C2×#168640052
C2×#168640042
C2×#168640032
C2×#168639522
C2×#168639502
C2×#168639292
C2×#541×C672
C2×#355567