Finite Group Databasebeta

← C2×#19149074 #26004304

Subgroups — C2×#19149074 #26004304

Order 11008.

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#19149074C2132yesmaximal, direct product factor
2C2×#14583652C211yesmaximal, characteristic, complemented
3C2×#14583650C211yesmaximal, characteristic, complemented
4C2×#14583650C211yesmaximal, characteristic, complemented
5C2×#14583629C211yesmaximal, characteristic, complemented
6C2×#14583626C211yesmaximal, characteristic, complemented
7C2×#14583626C211yesmaximal, characteristic, complemented
8C2×#14583624C211yesmaximal, characteristic, complemented
9C2×#14583620C211yesmaximal, characteristic, complemented
10C2×#14583618C211yesmaximal, characteristic, complemented
11C2×#14583616C211yesmaximal, characteristic, complemented
12C2×#14583616C211yesmaximal, characteristic, complemented
13C2×#14583616C211yesmaximal, characteristic, complemented
14C2×#14583603C211yesmaximal, characteristic, complemented
15C2×#14583586C211yesmaximal, characteristic, complemented
16C2×#14583585C211yesmaximal, characteristic, complemented
17C2×#14583528C211yesmaximal, characteristic, complemented
18C2×#14583526C211yesmaximal, characteristic, complemented
19C2×#14583517C211yesmaximal, characteristic
20C2×#14583513C211yesmaximal, characteristic
21C2×#14583510C211yesmaximal, characteristic, complemented
22C2×#14583509C211yesmaximal, characteristic, complemented
23C2×#14583508C211yesmaximal, characteristic, complemented
24C2×#14583508C211yesmaximal, characteristic, complemented
25C2×#14583506C211yesmaximal, characteristic, complemented
26C2×#14583506C211yesmaximal, characteristic, complemented
27C2×#14583506C211yesmaximal, characteristic, complemented
28C2×#14583506C211yesmaximal, characteristic, complemented
29C2×#14583451C211yesmaximal, characteristic, complemented
30C2×#14583451C211yesmaximal, characteristic, complemented
31C2×#14583426C211yesmaximal, characteristic
32C2×C43×#563C211yesmaximal, characteristic, complemented
33#14583652C22116yescomplemented
34#14583650C22116yescomplemented
35#14583650C22116yescomplemented
36#14583629C22116yescomplemented
37#14583626C22116yescomplemented
38#14583626C22116yescomplemented
39#14583624C22116yescomplemented
40#14583620C22116yescomplemented
41#14583618C22116yescomplemented
42#14583616C22116yescomplemented
43#14583616C22116yescomplemented
44#14583616C22116yescomplemented
45#14583603C22116yescomplemented
46#14583586C22116yescomplemented
47#14583585C22116yescomplemented
48#14583528C22116yescomplemented
49#14583526C22116yescomplemented
50#14583517C22116yes—
51#14583513C22116yes—
52#14583510C22116yescomplemented
53#14583509C22116yescomplemented
54#14583508C22116yescomplemented
55#14583508C22116yescomplemented
56#14583506C22116yescomplemented
57#14583506C22116yescomplemented
58#14583506C22116yescomplemented
59#14583506C22116yescomplemented
60#14583451C22116yescomplemented
61#14583451C22116yescomplemented
62C2×#13063324C2211yescharacteristic
63C2×#13063324C2211yescharacteristic
64C2×#13063324C2211yescharacteristic
65C2×#13063324C2211yescharacteristic
66C2×#13063324C2211yescharacteristic
67C2×#13063324C2211yescharacteristic
68C2×#13063324C2211yescharacteristic
69C2×#13063324C2211yescharacteristic
70C2×#13063324C2211yescharacteristic
71C2×#13063324C2211yescharacteristic
72C2×#13063323C2211yescharacteristic
73C2×#13063323C2211yescharacteristic
74C2×#13063323C2211yescharacteristic
75C2×#13063323C2211yescharacteristic
76C2×#13063323C2211yescharacteristic
77C2×#13063323C2211yescharacteristic
78#14583426C22116yes—
79C2×#13063320C2211yescharacteristic
80C2×#13063320C2211yescharacteristic
81C2×#13063320C2211yescharacteristic
82C2×#13063320C2211yescharacteristic
83C2×#13063320C2211yescharacteristic
84C2×#13063320C2211yescharacteristic
85C2×#13063320C2211yescharacteristic
86C2×#13063320C2211yescharacteristic
87C2×#13063319C2211yescharacteristic
88C2×#13063318C2211yescharacteristic
89C2×#13063318C2211yescharacteristic
90C2×#13063318C2211yescharacteristic
91C2×#13063318C2211yescharacteristic
92C2×#13063318C2211yescharacteristic
93C2×#13063318C2211yescharacteristic
94C2×#13063318C2211yescharacteristic
95C2×#13063318C2211yescharacteristic
96C2×#13063318C2211yescharacteristic
97C2×#13063318C2211yescharacteristic
98C2×#13063318C2211yescharacteristic
99C2×#13063318C2211yescharacteristic
100C2×#13063318C2211yescharacteristic
101C2×#13063317C2211yescharacteristic
102C2×#13063317C2211yescharacteristic
103C2×#13063316C2211yescharacteristic
104C2×#13063316C2211yescharacteristic
105C2×#13063316C2211yescharacteristic
106C2×#13063316C2211yescharacteristic
107C2×#13063316C2211yescharacteristic
108C2×#13063316C2211yescharacteristic
109C2×#13063315C2211yescharacteristic
110C2×#13063315C2211yescharacteristic
111C2×#13063315C2211yescharacteristic
112C2×#13063315C2211yescharacteristic
113C2×#13063315C2211yescharacteristic
114C2×#13063315C2211yescharacteristic
115C2×#13063315C2211yescharacteristic
116C2×#13063315C2211yescharacteristic
117C2×#13063315C2211yescharacteristic
118C2×#13063315C2211yescharacteristic
119C2×#13063315C2211yescharacteristic
120C2×#13063315C2211yescharacteristic
121C2×#13063315C2211yescharacteristic
122C2×#13063315C2211yescharacteristic
123C2×#13063315C2211yescharacteristic
124C2×#13063315C2211yescharacteristic
125C2×#13063315C2211yescharacteristic
126C2×#13063315C2211yescharacteristic
127C2×#13063315C2211yescharacteristic
128C2×#13063312C2211yescharacteristic
129C2×#13063311C2211yescharacteristic
130C2×#13063311C2211yescharacteristic
131C2×#13063311C2211yescharacteristic
132C2×#13063311C2211yescharacteristic
133C2×#13063311C2211yescharacteristic
134C2×#13063308C2211yescharacteristic
135C2×#13063307C2211yescharacteristic
136C2×#13063307C2211yescharacteristic
137C2×#13063306C2211yescharacteristic
138C2×#13063304C2211yescharacteristic
139C2×#13063304C2211yescharacteristic
140C2×#13063304C2211yescharacteristic
141C2×#13063303C2211yescharacteristic
142C2×#13063303C2211yescharacteristic
143C2×#13063303C2211yescharacteristic
144C2×#13063303C2211yescharacteristic
145C2×#13063303C2211yescharacteristic
146C2×#13063302C2211yescharacteristic
147C2×#13063302C2211yescharacteristic
148C2×#13063302C2211yescharacteristic
149C2×#13063302C2211yescharacteristic
150C2×#13063302C2211yescharacteristic
151C2×#13063302C2211yescharacteristic
152C2×#13063302C2211yescharacteristic
153C2×#13063302C2211yescharacteristic
154C2×#13063302C2211yescharacteristic
155C2×#13063302C2211yescharacteristic
156C2×#13063301C2211yescharacteristic
157C2×#13063301C2211yescharacteristic
158C2×#13063301C2211yescharacteristic
159C2×#13063297C2211yescharacteristic
160C2×Q8×Dic43C2211yescharacteristic
161C2×Q8×Dic43C2211yescharacteristic
162C2×Q8×Dic43C2211yescharacteristic
163C2×C4×Dic86C2211yescharacteristic
164C2×C4×Dic86C2211yescharacteristic
165C2×C4×Dic86C2211yescharacteristic
166C2×C4×Dic86C2211yescharacteristic
167C2×C4×Dic86C2211yescharacteristic
168C2×C4×Dic86C2211yescharacteristic
169C2×C4×Dic86C2211yescharacteristic
170C2×#13063290C2211yescharacteristic
171C2×#13063290C2211yescharacteristic
172C2×#13063290C2211yescharacteristic
173C2×#13063290C2211yescharacteristic
174C2×#13063290C2211yescharacteristic
175C2×#13063290C2211yescharacteristic
176C2×#13063290C2211yescharacteristic
177C2×#13063290C2211yescharacteristic
178C2×#13063290C2211yescharacteristic
179C2×#13063290C2211yescharacteristic
180C2×#13063290C2211yescharacteristic
181C2×#13063290C2211yescharacteristic
182C2×#13063290C2211yescharacteristic
183C2×D4×Dic43C2211yescharacteristic
184C2×C4×C22⋊D43C2211yescharacteristic
185C2×(C22⋊D43)⋊C4C2211yescharacteristic
186C2×(C22⋊D43)⋊C4C2211yescharacteristic
187C2×(C22⋊D43)⋊C4C2211yescharacteristic
188C2×#13063284C2211yescharacteristic
189C2×#13063283C2211yescharacteristic
190C2×#13063283C2211yescharacteristic
191C2×#13063282C2211yescharacteristic
192C2×#13063282C2211yescharacteristic
193C2×#13063281C2211yescharacteristic
194C2×#13063281C2211yescharacteristic
195C2×#13063281C2211yescharacteristic
196C2×#13063281C2211yescharacteristic
197C2×#13063281C2211yescharacteristic
198C2×#13063281C2211yescharacteristic
199C2×#13063281C2211yescharacteristic
200C22×Dic43⋊C4C2211yescharacteristic
201C2×C4⋊C4×D43C2211yescharacteristic
202C22×C4×Dic43C2211yescharacteristic
203C43×#563C22116yescomplemented
204C2×C4⋊Q8×C43C2211yescharacteristic
205C2×C4⋊Q8×C43C2211yescharacteristic
206C2×#126×C43C2211yescharacteristic
207C2×#126×C43C2211yescharacteristic
208C2×#126×C43C2211yescharacteristic
209C2×#126×C43C2211yescharacteristic
210C2×#125×C43C2211yescharacteristic
211C2×#125×C43C2211yescharacteristic
212C2×#124×C43C2211yescharacteristic
213C2×#123×C43C2211yescharacteristic
214C2×#123×C43C2211yescharacteristic
215C2×C22⋊Q8×C43C2211yescharacteristic
216C2×C22⋊Q8×C43C2211yescharacteristic
217C2×C22⋊Q8×C43C2211yescharacteristic
218C2×C22⋊Q8×C43C2211yescharacteristic
219C22×Dic86C2311yescharacteristic
220C22×Dic86C2311yescharacteristic
221C22×Dic86C2311yescharacteristic
222C22×Dic86C2311yescharacteristic
223C22×Dic86C2311yescharacteristic
224C22×Dic86C2311yescharacteristic
225C22×Dic86C2311yescharacteristic
226C22×Dic86C2311yescharacteristic
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×C22⋊D43C2311yescharacteristic
230C22×C22⋊D43C2311yescharacteristic
231C23×Dic43C2311yescharacteristic
232C23×Dic43C2311yescharacteristic
233C23×Dic43C2311yescharacteristic
234C23×Dic43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2311yescharacteristic
238#13063324C2318yes—
239#13063324C2318yes—
240#13063324C2318yes—
241#13063324C2318yes—
242#13063324C2318yes—
243#13063324C2318yes—
244#13063324C2318yes—
245#13063324C2318yes—
246#13063324C2318yes—
247#13063324C2318yes—
248#13063323C2318yes—
249#13063323C2318yes—
250#13063323C2318yes—
251#13063323C2318yes—
252#13063323C2318yes—
253#13063323C2318yes—
254#13063320C2318yes—
255#13063320C2318yes—
256#13063320C2318yes—
257#13063320C2318yes—
258#13063320C2318yes—
259#13063320C2318yes—
260#13063320C2318yes—
261#13063320C2318yes—
262#13063319C2318yes—
263#13063318C2318yes—
264#13063318C2318yes—
265#13063318C2318yes—
266#13063318C2318yes—
267#13063318C2318yes—
268#13063318C2318yes—
269#13063318C2318yes—
270#13063318C2318yes—
271#13063318C2318yes—
272#13063318C2318yes—
273#13063318C2318yes—
274#13063318C2318yes—
275#13063318C2318yes—
276#13063317C2318yes—
277#13063317C2318yes—
278#13063316C2318yes—
279#13063316C2318yes—
280#13063316C2318yes—
281#13063316C2318yes—
282#13063316C2318yes—
283#13063316C2318yes—
284#13063315C2318yes—
285#13063315C2318yes—
286#13063315C2318yes—
287#13063315C2318yes—
288#13063315C2318yes—
289#13063315C2318yes—
290#13063315C2318yes—
291#13063315C2318yes—
292#13063315C2318yes—
293#13063315C2318yes—
294#13063315C2318yes—
295#13063315C2318yes—
296#13063315C2318yes—
297#13063315C2318yes—
298#13063315C2318yes—
299#13063315C2318yes—
300#13063315C2318yes—
301#13063315C2318yes—
302#13063315C2318yes—
303#13063312C2318yes—
304#13063311C2318yes—
305#13063311C2318yes—
306#13063311C2318yes—
307#13063311C2318yes—
308#13063311C2318yes—
309#13063308C2318yes—
310#13063307C2318yes—
311#13063307C2318yes—
312#13063306C2318yes—
313#13063304C2318yes—
314#13063304C2318yes—
315#13063304C2318yes—
316#13063303C2318yes—
317#13063303C2318yes—
318#13063303C2318yes—
319#13063303C2318yes—
320#13063303C2318yes—
321#13063302C2318yes—
322#13063302C2318yes—
323#13063302C2318yes—
324#13063302C2318yes—
325#13063302C2318yes—
326#13063302C2318yes—
327#13063302C2318yes—
328#13063302C2318yes—
329#13063302C2318yes—
330#13063302C2318yes—
331#13063301C2318yes—
332#13063301C2318yes—
333#13063301C2318yes—
334#13063297C2318yes—
335Q8×Dic43C2318yes—
336Q8×Dic43C2318yes—
337Q8×Dic43C2318yes—
338C4×Dic86C2318yes—
339C4×Dic86C2318yes—
340C4×Dic86C2318yes—
341C4×Dic86C2318yes—
342C4×Dic86C2318yes—
343C4×Dic86C2318yes—
344C4×Dic86C2318yes—
345#13063290C2318yes—
346#13063290C2318yes—
347#13063290C2318yes—
348#13063290C2318yes—
349#13063290C2318yes—
350#13063290C2318yes—
351#13063290C2318yes—
352#13063290C2318yes—
353#13063290C2318yes—
354#13063290C2318yes—
355#13063290C2318yes—
356#13063290C2318yes—
357#13063290C2318yes—
358D4×Dic43C2318yes—
359C4×C22⋊D43C2318yes—
360(C22⋊D43)⋊C4C2318yes—
361(C22⋊D43)⋊C4C2318yes—
362(C22⋊D43)⋊C4C2318yes—
363#13063284C2318yes—
364#13063283C2318yes—
365#13063283C2318yes—
366#13063282C2318yes—
367#13063282C2318yes—
368#13063281C2318yes—
369#13063281C2318yes—
370#13063281C2318yes—
371#13063281C2318yes—
372#13063281C2318yes—
373#13063281C2318yes—
374#13063281C2318yes—
375C2×C4⋊Dic43C2311yescharacteristic
376C2×C4⋊Dic43C2311yescharacteristic
377C2×C4⋊Dic43C2311yescharacteristic
378C2×C4⋊Dic43C2311yescharacteristic
379C2×C4⋊Dic43C2311yescharacteristic
380C2×C4⋊Dic43C2311yescharacteristic
381C2×C4⋊Dic43C2311yescharacteristic
382C2×C4⋊Dic43C2311yescharacteristic
383C2×C4⋊Dic43C2311yescharacteristic
384C2×C4⋊Dic43C2311yescharacteristic
385C2×C4⋊Dic43C2311yescharacteristic
386C2×C4⋊Dic43C2311yescharacteristic
387C2×C4⋊Dic43C2311yescharacteristic
388C2×C4⋊Dic43C2311yescharacteristic
389C2×C4⋊Dic43C2311yescharacteristic
390C2×C4⋊Dic43C2311yescharacteristic
391C2×Dic43⋊C4C2318yes—
392C2×Dic43⋊C4C2311yescharacteristic
393C2×Dic43⋊C4C2311yescharacteristic
394C2×Dic43⋊C4C2311yescharacteristic
395C2×Dic43⋊C4C2311yescharacteristic
396C2×Dic43⋊C4C2311yescharacteristic
397C2×Dic43⋊C4C2311yescharacteristic
398C2×Dic43⋊C4C2311yescharacteristic
399C2×Dic43⋊C4C2311yescharacteristic
400C2×Dic43⋊C4C2311yescharacteristic
401C2×Dic43⋊C4C2311yescharacteristic
402C2×Dic43⋊C4C2311yescharacteristic
403C2×Dic43⋊C4C2311yescharacteristic
404C2×Dic43⋊C4C2311yescharacteristic
405C2×Dic43⋊C4C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2311yescharacteristic
412C2×Dic43⋊C4C2311yescharacteristic
413C2×Dic43⋊C4C2311yescharacteristic
414C2×Dic43⋊C4C2311yescharacteristic
415C2×Dic43⋊C4C2311yescharacteristic
416C2×Dic43⋊C4C2311yescharacteristic
417C2×Dic43⋊C4C2311yescharacteristic
418C2×Dic43⋊C4C2311yescharacteristic
419C2×Dic43⋊C4C2311yescharacteristic
420C2×Dic43⋊C4C2311yescharacteristic
421C2×Dic43⋊C4C2311yescharacteristic
422C2×Dic43⋊C4C2311yescharacteristic
423C2×Dic43⋊C4C2311yescharacteristic
424C2×Dic43⋊C4C2311yescharacteristic
425C2×Dic43⋊C4C2311yescharacteristic
426C2×Dic43⋊C4C2311yescharacteristic
427C2×Dic43⋊C4C2311yescharacteristic
428C2×Dic43⋊C4C2311yescharacteristic
429C2×Dic43⋊C4C2311yescharacteristic
430C2×Dic43⋊C4C2311yescharacteristic
431C2×Dic43⋊C4C2311yescharacteristic
432C2×Dic43⋊C4C2311yescharacteristic
433C2×Dic43⋊C4C2311yescharacteristic
434C4⋊C4×D43C2318yes—
435C2×C22⋊Dic43C2311yescharacteristic
436C2×C22⋊Dic43C2311yescharacteristic
437C2×C22⋊Dic43C2311yescharacteristic
438C2×C22⋊Dic43C2311yescharacteristic
439C2×C22⋊Dic43C2311yescharacteristic
440C2×C22⋊Dic43C2311yescharacteristic
441C2×C22⋊Dic43C2311yescharacteristic
442C2×C22⋊Dic43C2311yescharacteristic
443C2×C22⋊Dic43C2311yescharacteristic
444C2×C22⋊Dic43C2311yescharacteristic
445C2×(C2×D43)⋊C4C2311yescharacteristic
446C2×(C2×D43)⋊C4C2311yescharacteristic
447C2×(C2×D43)⋊C4C2311yescharacteristic
448C2×(C2×D43)⋊C4C2311yescharacteristic
449C2×(C2×D43)⋊C4C2311yescharacteristic
450C2×(C2×D43)⋊C4C2311yescharacteristic
451C2×(C2×D43)⋊C4C2311yescharacteristic
452C2×(C2×D43)⋊C4C2311yescharacteristic
453C2×(C2×D43)⋊C4C2311yescharacteristic
454C2×(C2×D43)⋊C4C2311yescharacteristic
455C2×C4×Dic43C2311yescharacteristic
456C2×C4×Dic43C2311yescharacteristic
457C2×C4×Dic43C2311yescharacteristic
458C2×C4×Dic43C2311yescharacteristic
459C2×C4×Dic43C2318yes—
460C2×C4×Dic43C2311yescharacteristic
461C2×C4×Dic43C2311yescharacteristic
462C2×C4×Dic43C2311yescharacteristic
463C2×C4×Dic43C2311yescharacteristic
464C2×C4×Dic43C2311yescharacteristic
465C2×C4×Dic43C2311yescharacteristic
466C2×C4×Dic43C2311yescharacteristic
467C2×C4×Dic43C2311yescharacteristic
468C2×C4×Dic43C2311yescharacteristic
469C2×C4×Dic43C2311yescharacteristic
470C2×C4×Dic43C2311yescharacteristic
471C2×C4×Dic43C2311yescharacteristic
472C2×C4×Dic43C2311yescharacteristic
473C2×C4×Dic43C2311yescharacteristic
474C2×C4×Dic43C2311yescharacteristic
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2311yescharacteristic
479C22×Q8×C43C2311yescharacteristic
480C22×Q8×C43C2311yescharacteristic
481C22×Q8×C43C2311yescharacteristic
482C22×D4×C43C2311yescharacteristic
483C23×C4×C43C2311yescharacteristic
484C23×C4×C43C2311yescharacteristic
485C4⋊Q8×C43C2318yes—
486C4⋊Q8×C43C2318yes—
487#126×C43C2318yes—
488#126×C43C2318yes—
489#126×C43C2318yes—
490#126×C43C2318yes—
491#125×C43C2318yes—
492#125×C43C2318yes—
493#124×C43C2318yes—
494#123×C43C2318yes—
495#123×C43C2318yes—
496C22⋊Q8×C43C2318yes—
497C22⋊Q8×C43C2318yes—
498C22⋊Q8×C43C2318yes—
499C22⋊Q8×C43C2318yes—
500C2×C4⋊C4×C43C2311yescharacteristic
501C2×C4⋊C4×C43C2311yescharacteristic
502C2×C4⋊C4×C43C2311yescharacteristic
503C2×C4⋊C4×C43C2311yescharacteristic
504C2×C4⋊C4×C43C2311yescharacteristic
505C2×C4⋊C4×C43C2311yescharacteristic
506C2×C4⋊C4×C43C2311yescharacteristic
507C2×C4⋊C4×C43C2311yescharacteristic
508C2×C4⋊C4×C43C2311yescharacteristic
509C2×C4⋊C4×C43C2311yescharacteristic
510C2×C4⋊C4×C43C2311yescharacteristic
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2311yescharacteristic
513C2×C4⋊C4×C43C2311yescharacteristic
514C2×C4⋊C4×C43C2311yescharacteristic
515C2×C4⋊C4×C43C2311yescharacteristic
516C2×C22⋊C4×C43C2311yescharacteristic
517C2×C22⋊C4×C43C2311yescharacteristic
518C2×C22⋊C4×C43C2311yescharacteristic
519C2×C22⋊C4×C43C2311yescharacteristic
520C2×C22⋊C4×C43C2311yescharacteristic
521C2×C22⋊C4×C43C2311yescharacteristic
522C2×C22⋊C4×C43C2311yescharacteristic
523C2×C22⋊C4×C43C2311yescharacteristic
524C2×C22⋊C4×C43C2311yescharacteristic
525C2×C22⋊C4×C43C2311yescharacteristic
526C2×C42×C43C2311yescharacteristic
527C2×C42×C43C2311yescharacteristic
528C2×C42×C43C2311yescharacteristic
529C24×C43C2411yescharacteristic
530C24×C43C2411yescharacteristic
531C23×D43C2411yescharacteristic
532C2×Q8×C43—42no—
533C2×Q8×C43—42no—
534C2×Q8×C43—42no—
535C2×Q8×C43C2414yes—
536C2×Q8×C43C2414yes—
537C2×Q8×C43C2414yes—
538C2×D4×C43—42no—
539C2×D4×C43C2414yes—
540C22×C4×C43—42no—
541C22×C4×C43—42no—
542C22×C4×C43C2411yescharacteristic
543C22×C4×C43C2411yescharacteristic
544C22×C4×C43C2411yescharacteristic
545C22×C4×C43C2411yescharacteristic
546C22×C4×C43C2411yescharacteristic
547C22×C4×C43C2411yescharacteristic
548C22×C4×C43C2411yescharacteristic
549C22×C4×C43C2411yescharacteristic
550C22×C4×C43C2411yescharacteristic
551C22×C4×C43C2411yescharacteristic
552C22×C4×C43C2411yescharacteristic
553C22×C4×C43C2411yescharacteristic
554C22×C4×C43C2411yescharacteristic
555C22×C4×C43C2414yes—
556C22×C4×C43C2414yes—
557C2×C22⋊D43—24no—
558C2×C22⋊D43—42no—
559C2×C22⋊D43C2414yes—
560C2×C22⋊D43C2414yes—
561C22×Dic43—24no—
562C22×Dic43—24no—
563C22×Dic43—24no—
564C22×Dic43—42no—
565C22×Dic43C2411yescharacteristic
566C22×Dic43C2411yescharacteristic
567C22×Dic43C2411yescharacteristic
568C22×Dic43C2411yescharacteristic
569C22×Dic43C2411yescharacteristic
570C22×Dic43C2411yescharacteristic
571C22×Dic43C2411yescharacteristic
572C22×Dic43C2411yescharacteristic
573C22×Dic43C2411yescharacteristic
574C22×Dic43C2411yescharacteristic
575C22×Dic43C2411yescharacteristic
576C22×Dic43C2411yescharacteristic
577C22×Dic43C2414yes—
578C22×Dic43C2414yes—
579C22×Dic43C2411yescharacteristic
580C22×Dic43C2414yes—
581C22×Dic43C2414yes—
582C22×Dic43C2411yescharacteristic
583C22×Dic43C2411yescharacteristic
584C2×C4×D43—24no—
585C2×C4×D43—42no—
586C2×C4×D43—42no—
587C2×C4×D43C2414yes—
588C2×C4×D43C2414yes—
589C2×C4×D43C2414yes—
590C2×Dic86—24no—
591C2×Dic86—24no—
592C2×Dic86—24no—
593C2×Dic86—24no—
594C2×Dic86—24no—
595C2×Dic86—42no—
596C2×Dic86—42no—
597C2×Dic86—42no—
598C2×Dic86—42no—
599C2×Dic86—42no—
600C2×Dic86C2414yes—
601C2×Dic86C2414yes—
602C2×Dic86C2414yes—
603C2×Dic86C2414yes—
604C2×Dic86C2414yes—
605C2×Dic86C2414yes—
606C2×Dic86C2414yes—
607C2×Dic86C2414yes—
608C2×Dic86C2414yes—
609C2×Dic86C2414yes—
610C4⋊C4×C43C2414yes—
611C4⋊C4×C43C2414yes—
612C4⋊C4×C43C2414yes—
613C4⋊C4×C43C2414yes—
614C4⋊C4×C43C2414yes—
615C4⋊C4×C43C2414yes—
616C4⋊C4×C43C2414yes—
617C4⋊C4×C43C2414yes—
618C4⋊C4×C43C2414yes—
619C4⋊C4×C43C2414yes—
620C4⋊C4×C43C2414yes—
621C4⋊C4×C43C2414yes—
622C4⋊C4×C43C2414yes—
623C4⋊C4×C43C2414yes—
624C4⋊C4×C43C2414yes—
625C4⋊C4×C43C2414yes—
626C22⋊C4×C43C2414yes—
627C22⋊C4×C43C2414yes—
628C22⋊C4×C43C2414yes—
629C22⋊C4×C43C2414yes—
630C22⋊C4×C43C2414yes—
631C22⋊C4×C43C2414yes—
632C22⋊C4×C43C2414yes—
633C22⋊C4×C43C2414yes—
634C22⋊C4×C43C2414yes—
635C22⋊C4×C43C2414yes—
636C42×C43C2414yes—
637C42×C43C2414yes—
638C42×C43C2414yes—
639C22⋊Dic43C2414yes—
640C22⋊Dic43C2414yes—
641C22⋊Dic43C2414yes—
642C22⋊Dic43C2414yes—
643C22⋊Dic43C2414yes—
644C22⋊Dic43C2414yes—
645C22⋊Dic43C2414yes—
646C22⋊Dic43C2414yes—
647C22⋊Dic43C2414yes—
648C22⋊Dic43C2414yes—
649(C2×D43)⋊C4C2414yes—
650(C2×D43)⋊C4C2414yes—
651(C2×D43)⋊C4C2414yes—
652(C2×D43)⋊C4C2414yes—
653(C2×D43)⋊C4C2414yes—
654(C2×D43)⋊C4C2414yes—
655(C2×D43)⋊C4C2414yes—
656(C2×D43)⋊C4C2414yes—
657(C2×D43)⋊C4C2414yes—
658(C2×D43)⋊C4C2414yes—
659C4⋊Dic43C2414yes—
660C4⋊Dic43C2414yes—
661C4⋊Dic43C2414yes—
662C4⋊Dic43C2414yes—
663C4⋊Dic43C2414yes—
664C4⋊Dic43C2414yes—
665C4⋊Dic43C2414yes—
666C4⋊Dic43C2414yes—
667C4⋊Dic43C2414yes—
668C4⋊Dic43C2414yes—
669C4⋊Dic43C2414yes—
670C4⋊Dic43C2414yes—
671C4⋊Dic43C2414yes—
672C4⋊Dic43C2414yes—
673C4⋊Dic43C2414yes—
674C4⋊Dic43C2414yes—
675Dic43⋊C4C2414yes—
676Dic43⋊C4C2414yes—
677Dic43⋊C4C2414yes—
678Dic43⋊C4C2414yes—
679Dic43⋊C4C2414yes—
680Dic43⋊C4C2414yes—
681Dic43⋊C4C2414yes—
682Dic43⋊C4C2414yes—
683Dic43⋊C4C2414yes—
684Dic43⋊C4C2414yes—
685Dic43⋊C4C2414yes—
686Dic43⋊C4C2414yes—
687Dic43⋊C4C2414yes—
688Dic43⋊C4C2414yes—
689Dic43⋊C4C2414yes—
690Dic43⋊C4C2414yes—
691Dic43⋊C4C2414yes—
692Dic43⋊C4C2414yes—
693Dic43⋊C4C2414yes—
694Dic43⋊C4C2414yes—
695Dic43⋊C4C2414yes—
696Dic43⋊C4C2414yes—
697Dic43⋊C4C2414yes—
698Dic43⋊C4C2414yes—
699Dic43⋊C4C2414yes—
700Dic43⋊C4C2414yes—
701Dic43⋊C4C2414yes—
702Dic43⋊C4C2414yes—
703Dic43⋊C4C2414yes—
704Dic43⋊C4C2414yes—
705Dic43⋊C4C2414yes—
706Dic43⋊C4C2414yes—
707Dic43⋊C4C2414yes—
708Dic43⋊C4C2414yes—
709Dic43⋊C4C2414yes—
710Dic43⋊C4C2414yes—
711Dic43⋊C4C2414yes—
712Dic43⋊C4C2414yes—
713Dic43⋊C4C2414yes—
714Dic43⋊C4C2414yes—
715Dic43⋊C4C2414yes—
716Dic43⋊C4C2414yes—
717C4×Dic43C2414yes—
718C4×Dic43C2414yes—
719C4×Dic43C2414yes—
720C4×Dic43C2414yes—
721C4×Dic43C2414yes—
722C4×Dic43C2414yes—
723C4×Dic43C2414yes—
724C4×Dic43C2414yes—
725C4×Dic43C2414yes—
726C4×Dic43C2414yes—
727C4×Dic43C2414yes—
728C4×Dic43C2414yes—
729C4×Dic43C2414yes—
730C4×Dic43C2414yes—
731C4×Dic43C2414yes—
732C4×Dic43C2414yes—
733C4×Dic43C2414yes—
734C4×Dic43C2414yes—
735C4×Dic43C2414yes—
736C4×Dic43C2414yes—
737C4×Dic43C2414yes—
738C4×Dic43C2414yes—
739C4×Dic43C2414yes—
740C23×C43—22no—
741C23×C43—22no—
742C23×C43—22no—
743C23×C43—22no—
744C23×C43—22no—
745C23×C43—22no—
746C23×C43C2512yes—
747C23×C43C2512yes—
748C23×C43C2511yescharacteristic
749C22×D43—22no—
750C22×D43—22no—
751C22×D43—22no—
752C22×D43C2512yes—
753Q8×C43—44no—
754Q8×C43—44no—
755Q8×C43—44no—
756D4×C43—44no—
757C2×C4×C43—22no—
758C2×C4×C43—22no—
759C2×C4×C43—22no—
760C2×C4×C43—22no—
761C2×C4×C43—22no—
762C2×C4×C43—22no—
763C2×C4×C43—22no—
764C2×C4×C43—22no—
765C2×C4×C43—22no—
766C2×C4×C43—22no—
767C2×C4×C43—22no—
768C2×C4×C43—22no—
769C2×C4×C43—22no—
770C2×C4×C43—44no—
771C2×C4×C43—44no—
772C2×C4×C43C2512yes—
773C2×C4×C43C2512yes—
774C2×C4×C43C2512yes—
775C2×C4×C43C2512yes—
776C2×C4×C43C2512yes—
777C2×C4×C43C2512yes—
778C2×C4×C43C2512yes—
779C2×C4×C43C2512yes—
780C2×C4×C43C2512yes—
781C2×C4×C43C2512yes—
782C2×C4×C43C2512yes—
783C2×C4×C43C2512yes—
784C2×C4×C43C2512yes—
785C22⋊D43—28no—
786C22⋊D43—44no—
787C2×Dic43—22no—
788C2×Dic43—22no—
789C2×Dic43—22no—
790C2×Dic43—22no—
791C2×Dic43—22no—
792C2×Dic43—22no—
793C2×Dic43—22no—
794C2×Dic43—22no—
795C2×Dic43—22no—
796C2×Dic43—22no—
797C2×Dic43—22no—
798C2×Dic43—22no—
799C2×Dic43—22no—
800C2×Dic43—28no—
801C2×Dic43—28no—
802C2×Dic43—28no—
803C2×Dic43—44no—
804C2×Dic432−1+414yes—
805C2×Dic432−1+414yes—
806C2×Dic43C2512yes—
807C2×Dic43C2512yes—
808C2×Dic43C2512yes—
809C2×Dic43C2512yes—
810C2×Dic43C2512yes—
811C2×Dic43C2512yes—
812C2×Dic43C2512yes—
813C2×Dic43C2512yes—
814C2×Dic43C2512yes—
815C2×Dic43C2512yes—
816C2×Dic43C2512yes—
817C2×Dic43C2512yes—
818C2×Dic43C2512yes—
819C2×Dic43C2512yes—
820C2×Dic43C2512yes—
821C4×D43—28no—
822C4×D43—44no—
823C4×D43—44no—
824Dic86—28no—
825Dic86—28no—
826Dic86—28no—
827Dic86—28no—
828Dic86—28no—
829Dic86—44no—
830Dic86—44no—
831Dic86—44no—
832Dic86—44no—
833Dic86—44no—
834C2×#3555—431nomaximal, Sylow
835C22×C43—22no—
836C22×C43—22no—
837C22×C43—22no—
838C22×C43—22no—
839C22×C43—22no—
840C22×C43—22no—
841C22×C43—44no—
842C22×C43—44no—
843C22×C43C2×2−1+412yes—
844C22×C43C2×2−1+412yes—
845C22×C43#58512yes—
846C22×C43C2611yescharacteristic
847C2×D43—22no—
848C2×D43—22no—
849C2×D43—22no—
850C2×D43—44no—
851C4×C43—22no—
852C4×C43—22no—
853C4×C43—22no—
854C4×C43—22no—
855C4×C43—22no—
856C4×C43—22no—
857C4×C43—22no—
858C4×C43—22no—
859C4×C43—22no—
860C4×C43—22no—
861C4×C43—22no—
862C4×C43—22no—
863C4×C43—22no—
864Dic43—22no—
865Dic43—22no—
866Dic43—22no—
867Dic43—22no—
868Dic43—22no—
869Dic43—22no—
870Dic43—22no—
871Dic43—22no—
872Dic43—22no—
873Dic43—22no—
874Dic43—22no—
875Dic43—22no—
876Dic43—22no—
877Dic43C2×2−1+414yes—
878Dic43C2×2−1+414yes—
879#3555—4332no—
880C2×#563—431no—
881C2×#563—431no—
882C2×#563—431no—
883C2×#563D4311yescharacteristic, complemented
884C2×Q82—431no—
885C2×#557—431no—
886C2×#557—431no—
887C2×#557—431no—
888C2×#556—431no—
889C2×#556—431no—
890C2×#556—431no—
891C2×#556—431no—
892C2×#556—431no—
893C2×#554—431no—
894C2×#552—431no—
895C2×#552—431no—
896C2×#544—431no—
897C2×#544—431no—
898C2×#542—431no—
899C2×#542—431no—
900C2×#541—431no—
901C2×#541—431no—
902C2×#541—431no—
903C2×#541—431no—
904C2×#541—431no—
905C2×#541—431no—
906C2×#541—431no—
907C2×#541—431no—
908C2×#533—431no—
909C2×#533—431no—
910C2×#529—431no—
911C2×C43—42no—
912C2×C43—42no—
913C2×C43#355514yescomplemented
914C2×C43C22×2−1+411yescharacteristic
915C2×C43C22×2−1+411yescharacteristic
916C2×C43C2×#58511yescharacteristic
917D43—42no—
918#563—4316no—
919#563—4316no—
920#563—4316no—
921#563C2×D43116yescomplemented
922Q82—4316no—
923#557—4316no—
924#557—4316no—
925#557—4316no—
926#556—4316no—
927#556—4316no—
928#556—4316no—
929#556—4316no—
930#556—4316no—
931#554—4316no—
932#552—4316no—
933#552—4316no—
934#544—4316no—
935#544—4316no—
936#542—4316no—
937#542—4316no—
938#541—4316no—
939#541—4316no—
940#541—4316no—
941#541—4316no—
942#541—4316no—
943#541—4316no—
944#541—4316no—
945#541—4316no—
946#533—4316no—
947#533—4316no—
948C2×C4⋊Q8—431no—
949C2×C4⋊Q8—431no—
950C2×C4⋊Q8—431no—
951C2×C4⋊Q8—431no—
952C2×C4⋊Q8—431no—
953C2×C4⋊Q8—431no—
954C2×C4⋊Q8—431no—
955C2×C4⋊Q8—431no—
956C2×C4⋊Q8—431no—
957C2×C4⋊Q8—431no—
958C2×C4⋊Q8—431no—
959C2×C4⋊Q8—431no—
960C2×C4⋊Q8—431no—
961C2×C4⋊Q8—431no—
962C2×C4⋊Q8—431no—
963C2×C4⋊Q8—431no—
964C2×C4⋊Q8C2×D4311yescharacteristic
965C2×C4⋊Q8C2×D4311yescharacteristic
966#529—4316no—
967C2×#126—431no—
968C2×#126—431no—
969C2×#126—431no—
970C2×#126—431no—
971C2×#126—431no—
972C2×#126—431no—
973C2×#126—431no—
974C2×#126—431no—
975C2×#126—431no—
976C2×#126—431no—
977C2×#126—431no—
978C2×#126—431no—
979C2×#126—431no—
980C2×#126—431no—
981C2×#126—431no—
982C2×#126—431no—
983C2×#126—431no—
984C2×#126—431no—
985C2×#126—431no—
986C2×#126—431no—
987C2×#126—431no—
988C2×#126—431no—
989C2×#126C2×D4311yescharacteristic
990C2×#126C2×D4311yescharacteristic
991C2×#126C2×D4311yescharacteristic
992C2×#126C2×D4311yescharacteristic
993C2×#125—431no—
994C2×#125—431no—
995C2×#125—431no—
996C2×#125—431no—
997C2×#125—431no—
998C2×#125—431no—
999C2×#125—431no—
1000C2×#125—431no—
1001C2×#125—431no—
1002C2×#125—431no—
1003C2×#125—431no—
1004C2×#125—431no—
1005C2×#125—431no—
1006C2×#125—431no—
1007C2×#125—431no—
1008C2×#125—431no—
1009C2×#125—431no—
1010C2×#125—431no—
1011C2×#125—431no—
1012C2×#125—431no—
1013C2×#125—431no—
1014C2×#125—431no—
1015C2×#125—431no—
1016C2×#125—431no—
1017C2×#125—431no—
1018C2×#125—431no—
1019C2×#125—431no—
1020C2×#125C2×D4311yescharacteristic
1021C2×#125C2×D4311yescharacteristic
1022C2×#124—431no—
1023C2×#124—431no—
1024C2×#124—431no—
1025C2×#124—431no—
1026C2×#124—431no—
1027C2×#124—431no—
1028C2×#124C2×D4311yescharacteristic
1029C2×#123—431no—
1030C2×#123—431no—
1031C2×#123—431no—
1032C2×#123—431no—
1033C2×#123C2×D4311yescharacteristic
1034C2×#123C2×D4311yescharacteristic
1035C2×C22⋊Q8—431no—
1036C2×C22⋊Q8—431no—
1037C2×C22⋊Q8—431no—
1038C2×C22⋊Q8—431no—
1039C2×C22⋊Q8—431no—
1040C2×C22⋊Q8—431no—
1041C2×C22⋊Q8—431no—
1042C2×C22⋊Q8—431no—
1043C2×C22⋊Q8—431no—
1044C2×C22⋊Q8—431no—
1045C2×C22⋊Q8—431no—
1046C2×C22⋊Q8—431no—
1047C2×C22⋊Q8—431no—
1048C2×C22⋊Q8—431no—
1049C2×C22⋊Q8—431no—
1050C2×C22⋊Q8—431no—
1051C2×C22⋊Q8—431no—
1052C2×C22⋊Q8—431no—
1053C2×C22⋊Q8—431no—
1054C2×C22⋊Q8—431no—
1055C2×C22⋊Q8—431no—
1056C2×C22⋊Q8C2×D4311yescharacteristic
1057C2×C22⋊Q8C2×D4311yescharacteristic
1058C2×C22⋊Q8C2×D4311yescharacteristic
1059C2×C22⋊Q8C2×D4311yescharacteristic
1060C2×#121—431no—
1061C2×C4×Q8—431no—
1062C2×C4×Q8—431no—
1063C2×C4×Q8—431no—
1064C2×C4×Q8—431no—
1065C2×C4×Q8—431no—
1066C2×C4×Q8—431no—
1067C2×C4×Q8—431no—
1068C2×C4×Q8—431no—
1069C2×C4×Q8—431no—
1070C2×C4×Q8—431no—
1071C2×C4×Q8—431no—
1072C2×C4×Q8—431no—
1073C2×C4×Q8—431no—
1074C2×C4×Q8—431no—
1075C2×C4×Q8—431no—
1076C2×C4×Q8—431no—
1077C2×C4×Q8—431no—
1078C2×C4×Q8—431no—
1079C2×C4×Q8—431no—
1080C2×C4×Q8—431no—
1081C2×C4×Q8—431no—
1082C2×C4×Q8—431no—
1083C2×C4×Q8—431no—
1084C2×C4×D4—431no—
1085C2×C4×D4—431no—
1086C2×C4×D4—431no—
1087C2×C4×D4—431no—
1088C2×C4×D4—431no—
1089C2×#117—431no—
1090C2×#117—431no—
1091C2×#117—431no—
1092C2×#117—431no—
1093C2×#117—431no—
1094C2×#117—431no—
1095C2×#117—431no—
1096C2×#117—431no—
1097C2×#117—431no—
1098C2×#117—431no—
1099C2×#117—431no—
1100C2×#117—431no—
1101C22×C4⋊C4—431no—
1102C22×C4⋊C4—431no—
1103C22×C42—431no—
1104C43C2×#355511yescharacteristic, complemented, Sylow
1105C22×Q8—431no—
1106C22×Q8—431no—
1107C22×Q8—431no—
1108C22×Q8—431no—
1109C22×Q8—431no—
1110C22×Q8—431no—
1111C22×Q8—431no—
1112C22×Q8—431no—
1113C22×Q8—431no—
1114C22×Q8—431no—
1115C22×Q8C22×D4311yescharacteristic
1116C22×Q8C22×D4311yescharacteristic
1117C22×Q8C22×D4311yescharacteristic
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4C22×D4311yescharacteristic
1121C23×C4—431no—
1122C23×C4—431no—
1123C23×C4—431no—
1124C23×C4—431no—
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4C22×D4311yescharacteristic
1129C23×C4C22×D4311yescharacteristic
1130C4⋊Q8—438no—
1131C4⋊Q8—438no—
1132C4⋊Q8—438no—
1133C4⋊Q8—438no—
1134C4⋊Q8—438no—
1135C4⋊Q8—438no—
1136C4⋊Q8—438no—
1137C4⋊Q8—438no—
1138C4⋊Q8—438no—
1139C4⋊Q8—438no—
1140C4⋊Q8—438no—
1141C4⋊Q8—438no—
1142C4⋊Q8—438no—
1143C4⋊Q8—438no—
1144C4⋊Q8—438no—
1145C4⋊Q8—438no—
1146C4⋊Q8C22×D4318yes—
1147C4⋊Q8C22×D4318yes—
1148#126—438no—
1149#126—438no—
1150#126—438no—
1151#126—438no—
1152#126—438no—
1153#126—438no—
1154#126—438no—
1155#126—438no—
1156#126—438no—
1157#126—438no—
1158#126—438no—
1159#126—438no—
1160#126—438no—
1161#126—438no—
1162#126—438no—
1163#126—438no—
1164#126—438no—
1165#126—438no—
1166#126—438no—
1167#126—438no—
1168#126—438no—
1169#126—438no—
1170#126C22×D4318yes—
1171#126C22×D4318yes—
1172#126C22×D4318yes—
1173#126C22×D4318yes—
1174#125—438no—
1175#125—438no—
1176#125—438no—
1177#125—438no—
1178#125—438no—
1179#125—438no—
1180#125—438no—
1181#125—438no—
1182#125—438no—
1183#125—438no—
1184#125—438no—
1185#125—438no—
1186#125—438no—
1187#125—438no—
1188#125—438no—
1189#125—438no—
1190#125—438no—
1191#125—438no—
1192#125—438no—
1193#125—438no—
1194#125—438no—
1195#125—438no—
1196#125—438no—
1197#125—438no—
1198#125—438no—
1199#125—438no—
1200#125—438no—
1201#125C22×D4318yes—
1202#125C22×D4318yes—
1203#124—438no—
1204#124—438no—
1205#124—438no—
1206#124—438no—
1207#124—438no—
1208#124—438no—
1209#124C22×D4318yes—
1210#123—438no—
1211#123—438no—
1212#123—438no—
1213#123—438no—
1214#123C22×D4318yes—
1215#123C22×D4318yes—
1216C22⋊Q8—438no—
1217C22⋊Q8—438no—
1218C22⋊Q8—438no—
1219C22⋊Q8—438no—
1220C22⋊Q8—438no—
1221C22⋊Q8—438no—
1222C22⋊Q8—438no—
1223C22⋊Q8—438no—
1224C22⋊Q8—438no—
1225C22⋊Q8—438no—
1226C22⋊Q8—438no—
1227C22⋊Q8—438no—
1228C22⋊Q8—438no—
1229C22⋊Q8—438no—
1230C22⋊Q8—438no—
1231C22⋊Q8—438no—
1232C22⋊Q8—438no—
1233C22⋊Q8—438no—
1234C22⋊Q8—438no—
1235C22⋊Q8—438no—
1236C22⋊Q8—438no—
1237C22⋊Q8C22×D4318yes—
1238C22⋊Q8C22×D4318yes—
1239C22⋊Q8C22×D4318yes—
1240C22⋊Q8C22×D4318yes—
1241#121—438no—
1242C4×Q8—438no—
1243C4×Q8—438no—
1244C4×Q8—438no—
1245C4×Q8—438no—
1246C4×Q8—438no—
1247C4×Q8—438no—
1248C4×Q8—438no—
1249C4×Q8—438no—
1250C4×Q8—438no—
1251C4×Q8—438no—
1252C4×Q8—438no—
1253C4×Q8—438no—
1254C4×Q8—438no—
1255C4×Q8—438no—
1256C4×Q8—438no—
1257C4×Q8—438no—
1258C4×Q8—438no—
1259C4×Q8—438no—
1260C4×Q8—438no—
1261C4×Q8—438no—
1262C4×Q8—438no—
1263C4×Q8—438no—
1264C4×Q8—438no—
1265C4×D4—438no—
1266C4×D4—438no—
1267C4×D4—438no—
1268C4×D4—438no—
1269C4×D4—438no—
1270#117—438no—
1271#117—438no—
1272#117—438no—
1273#117—438no—
1274#117—438no—
1275#117—438no—
1276#117—438no—
1277#117—438no—
1278#117—438no—
1279#117—438no—
1280#117—438no—
1281#117—438no—
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—431no—
1287C2×C4⋊C4—431no—
1288C2×C4⋊C4—438no—
1289C2×C4⋊C4—431no—
1290C2×C4⋊C4—431no—
1291C2×C4⋊C4—431no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—431no—
1294C2×C4⋊C4—431no—
1295C2×C4⋊C4—431no—
1296C2×C4⋊C4—431no—
1297C2×C4⋊C4—431no—
1298C2×C4⋊C4—431no—
1299C2×C4⋊C4—431no—
1300C2×C4⋊C4—431no—
1301C2×C4⋊C4—431no—
1302C2×C4⋊C4—431no—
1303C2×C4⋊C4—431no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—431no—
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—431no—
1312C2×C4⋊C4—431no—
1313C2×C4⋊C4—431no—
1314C2×C4⋊C4—431no—
1315C2×C4⋊C4—431no—
1316C2×C4⋊C4—431no—
1317C2×C4⋊C4—431no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—431no—
1320C2×C4⋊C4—431no—
1321C2×C4⋊C4—431no—
1322C2×C4⋊C4—431no—
1323C2×C4⋊C4—431no—
1324C2×C4⋊C4—431no—
1325C2×C4⋊C4—431no—
1326C2×C4⋊C4—431no—
1327C2×C4⋊C4—431no—
1328C2×C4⋊C4—431no—
1329C2×C4⋊C4—431no—
1330C2×C4⋊C4—431no—
1331C2×C4⋊C4—431no—
1332C2×C4⋊C4—431no—
1333C2×C4⋊C4—431no—
1334C2×C4⋊C4—431no—
1335C2×C4⋊C4—431no—
1336C2×C4⋊C4—431no—
1337C2×C4⋊C4—431no—
1338C2×C4⋊C4—431no—
1339C2×C4⋊C4—431no—
1340C2×C4⋊C4—431no—
1341C2×C4⋊C4—438no—
1342C2×C4⋊C4C22×D4311yescharacteristic
1343C2×C4⋊C4C22×D4311yescharacteristic
1344C2×C4⋊C4C22×D4311yescharacteristic
1345C2×C4⋊C4C22×D4311yescharacteristic
1346C2×C4⋊C4C22×D4311yescharacteristic
1347C2×C4⋊C4C22×D4311yescharacteristic
1348C2×C4⋊C4C22×D4311yescharacteristic
1349C2×C4⋊C4C22×D4311yescharacteristic
1350C2×C4⋊C4C22×D4311yescharacteristic
1351C2×C4⋊C4C22×D4311yescharacteristic
1352C2×C4⋊C4C22×D4311yescharacteristic
1353C2×C4⋊C4C22×D4311yescharacteristic
1354C2×C4⋊C4C22×D4311yescharacteristic
1355C2×C4⋊C4C22×D4311yescharacteristic
1356C2×C4⋊C4C22×D4311yescharacteristic
1357C2×C4⋊C4C22×D4311yescharacteristic
1358C2×C22⋊C4—431no—
1359C2×C22⋊C4—431no—
1360C2×C22⋊C4—431no—
1361C2×C22⋊C4—431no—
1362C2×C22⋊C4—431no—
1363C2×C22⋊C4—431no—
1364C2×C22⋊C4—431no—
1365C2×C22⋊C4—431no—
1366C2×C22⋊C4—431no—
1367C2×C22⋊C4—431no—
1368C2×C22⋊C4—431no—
1369C2×C22⋊C4—431no—
1370C2×C22⋊C4—431no—
1371C2×C22⋊C4—431no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—431no—
1374C2×C22⋊C4—431no—
1375C2×C22⋊C4—431no—
1376C2×C22⋊C4—431no—
1377C2×C22⋊C4—431no—
1378C2×C22⋊C4C22×D4311yescharacteristic
1379C2×C22⋊C4C22×D4311yescharacteristic
1380C2×C22⋊C4C22×D4311yescharacteristic
1381C2×C22⋊C4C22×D4311yescharacteristic
1382C2×C22⋊C4C22×D4311yescharacteristic
1383C2×C22⋊C4C22×D4311yescharacteristic
1384C2×C22⋊C4C22×D4311yescharacteristic
1385C2×C22⋊C4C22×D4311yescharacteristic
1386C2×C22⋊C4C22×D4311yescharacteristic
1387C2×C22⋊C4C22×D4311yescharacteristic
1388C2×C42—431no—
1389C2×C42—431no—
1390C2×C42—431no—
1391C2×C42—431no—
1392C2×C42—431no—
1393C2×C42—431no—
1394C2×C42—431no—
1395C2×C42—431no—
1396C2×C42—431no—
1397C2×C42—431no—
1398C2×C42—431no—
1399C2×C42—431no—
1400C2×C42—431no—
1401C2×C42—431no—
1402C2×C42—431no—
1403C2×C42—431no—
1404C2×C42—431no—
1405C2×C42—431no—
1406C2×C42—431no—
1407C2×C42—431no—
1408C2×C42—431no—
1409C2×C42—431no—
1410C2×C42—431no—
1411C2×C42—438no—
1412C2×C42C22×D4311yescharacteristic
1413C2×C42C22×D4311yescharacteristic
1414C2×C42C22×D4311yescharacteristic
1415C24—431no—
1416C24C23×D4311yescharacteristic
1417C24C23×D4311yescharacteristic
1418C2×Q8—42no—
1419C2×Q8—42no—
1420C2×Q8—42no—
1421C2×Q8—434no—
1422C2×Q8—434no—
1423C2×Q8—434no—
1424C2×Q8—434no—
1425C2×Q8—434no—
1426C2×Q8—434no—
1427C2×Q8—434no—
1428C2×Q8—434no—
1429C2×Q8—434no—
1430C2×Q8—434no—
1431C2×Q8—864no—
1432C2×Q8—864no—
1433C2×Q8—864no—
1434C2×Q8—864no—
1435C2×Q8—864no—
1436C2×Q8—1722no—
1437C2×Q8—1722no—
1438C2×Q8—1722no—
1439C2×Q8—1722no—
1440C2×Q8—1722no—
1441C2×Q8C23×D4314yes—
1442C2×Q8C23×D4314yes—
1443C2×Q8C23×D4314yes—
1444C2×D4—42no—
1445C2×D4—434no—
1446C2×D4—434no—
1447C2×D4—864no—
1448C2×D4—1722no—
1449C2×D4C23×D4314yes—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—431no—
1453C22×C4—431no—
1454C22×C4—434no—
1455C22×C4—434no—
1456C22×C4—434no—
1457C22×C4—431no—
1458C22×C4—431no—
1459C22×C4—431no—
1460C22×C4—431no—
1461C22×C4—431no—
1462C22×C4—431no—
1463C22×C4—431no—
1464C22×C4—431no—
1465C22×C4—431no—
1466C22×C4—431no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—434no—
1471C22×C4—434no—
1472C22×C4—434no—
1473C22×C4—434no—
1474C22×C4—864no—
1475C22×C4—864no—
1476C22×C4—864no—
1477C22×C4—864no—
1478C22×C4—1722no—
1479C22×C4—1722no—
1480C22×C4—1722no—
1481C22×C4C23×D4311yescharacteristic
1482C22×C4C23×D4311yescharacteristic
1483C22×C4C23×D4311yescharacteristic
1484C22×C4C23×D4311yescharacteristic
1485C22×C4C23×D4311yescharacteristic
1486C22×C4C23×D4311yescharacteristic
1487C22×C4C23×D4311yescharacteristic
1488C22×C4C23×D4311yescharacteristic
1489C22×C4C23×D4311yescharacteristic
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492C22×C4C23×D4311yescharacteristic
1493C22×C4C23×D4311yescharacteristic
1494C22×C4C23×D4314yes—
1495C22×C4C23×D4314yes—
1496C4⋊C4—434no—
1497C4⋊C4—434no—
1498C4⋊C4—434no—
1499C4⋊C4—434no—
1500C4⋊C4—434no—
1501C4⋊C4—434no—
1502C4⋊C4—434no—
1503C4⋊C4—434no—
1504C4⋊C4—434no—
1505C4⋊C4—434no—
1506C4⋊C4—434no—
1507C4⋊C4—434no—
1508C4⋊C4—434no—
1509C4⋊C4—434no—
1510C4⋊C4—434no—
1511C4⋊C4—434no—
1512C4⋊C4—434no—
1513C4⋊C4—434no—
1514C4⋊C4—434no—
1515C4⋊C4—434no—
1516C4⋊C4—434no—
1517C4⋊C4—434no—
1518C4⋊C4—434no—
1519C4⋊C4—434no—
1520C4⋊C4—434no—
1521C4⋊C4—434no—
1522C4⋊C4—434no—
1523C4⋊C4—434no—
1524C4⋊C4—434no—
1525C4⋊C4—434no—
1526C4⋊C4—434no—
1527C4⋊C4—434no—
1528C4⋊C4—434no—
1529C4⋊C4—434no—
1530C4⋊C4—434no—
1531C4⋊C4—434no—
1532C4⋊C4—434no—
1533C4⋊C4—434no—
1534C4⋊C4—434no—
1535C4⋊C4—434no—
1536C4⋊C4—434no—
1537C4⋊C4—434no—
1538C4⋊C4—434no—
1539C4⋊C4—434no—
1540C4⋊C4—434no—
1541C4⋊C4—434no—
1542C4⋊C4—434no—
1543C4⋊C4—434no—
1544C4⋊C4—434no—
1545C4⋊C4—434no—
1546C4⋊C4—434no—
1547C4⋊C4—434no—
1548C4⋊C4—434no—
1549C4⋊C4—434no—
1550C4⋊C4—434no—
1551C4⋊C4—434no—
1552C4⋊C4—434no—
1553C4⋊C4—434no—
1554C4⋊C4C23×D4314yes—
1555C4⋊C4C23×D4314yes—
1556C4⋊C4C23×D4314yes—
1557C4⋊C4C23×D4314yes—
1558C4⋊C4C23×D4314yes—
1559C4⋊C4C23×D4314yes—
1560C4⋊C4C23×D4314yes—
1561C4⋊C4C23×D4314yes—
1562C4⋊C4C23×D4314yes—
1563C4⋊C4C23×D4314yes—
1564C4⋊C4C23×D4314yes—
1565C4⋊C4C23×D4314yes—
1566C4⋊C4C23×D4314yes—
1567C4⋊C4C23×D4314yes—
1568C4⋊C4C23×D4314yes—
1569C4⋊C4C23×D4314yes—
1570C22⋊C4—434no—
1571C22⋊C4—434no—
1572C22⋊C4—434no—
1573C22⋊C4—434no—
1574C22⋊C4—434no—
1575C22⋊C4—434no—
1576C22⋊C4—434no—
1577C22⋊C4—434no—
1578C22⋊C4—434no—
1579C22⋊C4—434no—
1580C22⋊C4—434no—
1581C22⋊C4—434no—
1582C22⋊C4—434no—
1583C22⋊C4—434no—
1584C22⋊C4—434no—
1585C22⋊C4—434no—
1586C22⋊C4—434no—
1587C22⋊C4—434no—
1588C22⋊C4—434no—
1589C22⋊C4—434no—
1590C22⋊C4C23×D4314yes—
1591C22⋊C4C23×D4314yes—
1592C22⋊C4C23×D4314yes—
1593C22⋊C4C23×D4314yes—
1594C22⋊C4C23×D4314yes—
1595C22⋊C4C23×D4314yes—
1596C22⋊C4C23×D4314yes—
1597C22⋊C4C23×D4314yes—
1598C22⋊C4C23×D4314yes—
1599C22⋊C4C23×D4314yes—
1600C42—434no—
1601C42—434no—
1602C42—434no—
1603C42—434no—
1604C42—434no—
1605C42—434no—
1606C42—434no—
1607C42—434no—
1608C42—434no—
1609C42—434no—
1610C42—434no—
1611C42—434no—
1612C42—434no—
1613C42—434no—
1614C42—434no—
1615C42—434no—
1616C42—434no—
1617C42—434no—
1618C42—434no—
1619C42—434no—
1620C42—434no—
1621C42—434no—
1622C42—434no—
1623C42C23×D4314yes—
1624C42C23×D4314yes—
1625C42C23×D4314yes—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—432no—
1633C23—862no—
1634C23—862no—
1635C23—862no—
1636C23C24×D4312yes—
1637C23C24×D4312yes—
1638C23C24×D4311yescharacteristic
1639Q8—44no—
1640Q8—44no—
1641Q8—44no—
1642Q8—868no—
1643Q8—868no—
1644Q8—868no—
1645Q8—868no—
1646Q8—868no—
1647Q8—1724no—
1648Q8—1724no—
1649Q8—1724no—
1650Q8—1724no—
1651Q8—1724no—
1652D4—44no—
1653D4—868no—
1654D4—1724no—
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—44no—
1669C2×C4—44no—
1670C2×C4—434no—
1671C2×C4—434no—
1672C2×C4—432no—
1673C2×C4—432no—
1674C2×C4—432no—
1675C2×C4—432no—
1676C2×C4—432no—
1677C2×C4—432no—
1678C2×C4—432no—
1679C2×C4—432no—
1680C2×C4—432no—
1681C2×C4—432no—
1682C2×C4—432no—
1683C2×C4—432no—
1684C2×C4—432no—
1685C2×C4—432no—
1686C2×C4—432no—
1687C2×C4—868no—
1688C2×C4—868no—
1689C2×C4—868no—
1690C2×C4—868no—
1691C2×C4—862no—
1692C2×C4—862no—
1693C2×C4—862no—
1694C2×C4—862no—
1695C2×C4—862no—
1696C2×C4—862no—
1697C2×C4—862no—
1698C2×C4—862no—
1699C2×C4—862no—
1700C2×C4—862no—
1701C2×C4—862no—
1702C2×C4—862no—
1703C2×C4—862no—
1704C2×C4—1724no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4C24×D4312yes—
1708C2×C4C24×D4312yes—
1709C2×C4C24×D4312yes—
1710C2×C4C24×D4312yes—
1711C2×C4C24×D4312yes—
1712C2×C4C24×D4312yes—
1713C2×C4C24×D4312yes—
1714C2×C4C24×D4312yes—
1715C2×C4C24×D4312yes—
1716C2×C4C24×D4312yes—
1717C2×C4C24×D4312yes—
1718C2×C4C24×D4312yes—
1719C2×C4C24×D4312yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—44no—
1727C22—44no—
1728C22—862no—
1729C22—862no—
1730C22—862no—
1731C22—1724no—
1732C222−1+4×D4312yes—
1733C222−1+4×D4312yes—
1734C22#1458373412yes—
1735C22C25×D4311yescharacteristic
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—434no—
1750C4—434no—
1751C4—862no—
1752C4—862no—
1753C4—862no—
1754C4—862no—
1755C4—862no—
1756C4—862no—
1757C4—862no—
1758C4—862no—
1759C4—862no—
1760C4—862no—
1761C4—862no—
1762C4—862no—
1763C4—862no—
1764C2—42no—
1765C2—42no—
1766C2—1722no—
1767C2#1914907414yesdirect product factor
1768C2C2×2−1+4×D4311yescharacteristic
1769C2C2×2−1+4×D4311yescharacteristic
1770C2C2×#1458373411yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#563C2
socleC23×C43C25
prime radicalC2×#13063297C22
hypercenterC2×#563D43
hypocenterC43C2×#3555
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #19149074C2direct (N × H)
2. C2×#14583652C2semidirect
3. C2×#14583650C2semidirect
4. C2×#14583650C2semidirect
5. C2×#14583629C2semidirect
6. C2×#14583626C2semidirect
7. C2×#14583626C2semidirect
8. C2×#14583624C2semidirect
9. C2×#14583620C2semidirect
10. C2×#14583618C2semidirect
11. C2×#14583616C2semidirect
12. C2×#14583616C2semidirect
13. C2×#14583616C2semidirect
14. C2×#14583603C2semidirect
15. C2×#14583586C2semidirect
16. C2×#14583585C2semidirect
17. C2×#14583528C2semidirect
18. C2×#14583526C2semidirect
21. C2×#14583510C2semidirect
22. C2×#14583509C2semidirect
23. C2×#14583508C2semidirect
24. C2×#14583508C2semidirect
25. C2×#14583506C2semidirect
26. C2×#14583506C2semidirect
27. C2×#14583506C2semidirect
28. C2×#14583506C2semidirect
29. C2×#14583451C2semidirect
30. C2×#14583451C2semidirect
32. C2×C43×#563C2semidirect
33. #14583652C22semidirect
34. #14583650C22semidirect
35. #14583650C22semidirect
36. #14583629C22semidirect
37. #14583626C22semidirect
38. #14583626C22semidirect
39. #14583624C22semidirect
40. #14583620C22semidirect
41. #14583618C22semidirect
42. #14583616C22semidirect
43. #14583616C22semidirect
44. #14583616C22semidirect
45. #14583603C22semidirect
46. #14583586C22semidirect
47. #14583585C22semidirect
48. #14583528C22semidirect
49. #14583526C22semidirect
52. #14583510C22semidirect
53. #14583509C22semidirect
54. #14583508C22semidirect
55. #14583508C22semidirect
56. #14583506C22semidirect
57. #14583506C22semidirect
58. #14583506C22semidirect
59. #14583506C22semidirect
60. #14583451C22semidirect
61. #14583451C22semidirect
203. C43×#563C22semidirect
883. C2×#563D43semidirect
913. C2×C43#3555semidirect
921. #563C2×D43semidirect
1104. C43C2×#3555semidirect
1767. C2#19149074direct (N × H)

Maximal subgroups

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

subgroupindex
#191490742
C2×#145836522
C2×#145836502
C2×#145836292
C2×#145836262
C2×#145836242
C2×#145836202
C2×#145836182
C2×#145836162
C2×#145836032
C2×#145835862
C2×#145835852
C2×#145835282
C2×#145835262
C2×#145835172
C2×#145835132
C2×#145835102
C2×#145835092
C2×#145835082
C2×#145835062
C2×#145834512
C2×#145834262
C2×C43×#5632
C2×#355543