Finite Group Databasebeta

← C2×#21460319 #30587458

Subgroups — C2×#21460319 #30587458

Order 15616.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460319C2132yesmaximal, direct product factor
2C2×#16840514C211yesmaximal, characteristic, complemented
3C2×#16840514C211yesmaximal, characteristic, complemented
4C2×#16840511C211yesmaximal, characteristic, complemented
5C2×#16840496C211yesmaximal, characteristic, complemented
6C2×#16840494C211yesmaximal, characteristic, complemented
7C2×#16840489C211yesmaximal, characteristic, complemented
8C2×#16840487C211yesmaximal, characteristic, complemented
9C2×#16840483C211yesmaximal, characteristic, complemented
10C2×#16840479C211yesmaximal, characteristic, complemented
11C2×#16840470C211yesmaximal, characteristic, complemented
12C2×#16840466C211yesmaximal, characteristic, complemented
13C2×#16840454C211yesmaximal, characteristic, complemented
14C2×#16840450C211yesmaximal, characteristic, complemented
15C2×#16840449C211yesmaximal, characteristic, complemented
16C2×#16840448C211yesmaximal, characteristic, complemented
17C2×#16840386C211yesmaximal, characteristic, complemented
18C2×#16840385C211yesmaximal, characteristic, complemented
19C2×#16840382C211yesmaximal, characteristic, complemented
20C2×#16840378C211yesmaximal, characteristic, complemented
21C2×#16840378C211yesmaximal, characteristic, complemented
22C2×#16840376C211yesmaximal, characteristic, complemented
23C2×#16840371C211yesmaximal, characteristic, complemented
24C2×#16840364C211yesmaximal, characteristic
25C2×#16840361C211yesmaximal, characteristic, complemented
26C2×#16840360C211yesmaximal, characteristic, complemented
27C2×#16840358C211yesmaximal, characteristic, complemented
28C2×#16840356C211yesmaximal, characteristic, complemented
29C2×#16840317C211yesmaximal, characteristic, complemented
30C2×#16840295C211yesmaximal, characteristic, complemented
31C2×#16840295C211yesmaximal, characteristic, complemented
32C2×C61×#563C211yesmaximal, characteristic, complemented
33#16840514C22116yescomplemented
34#16840514C22116yescomplemented
35#16840511C22116yescomplemented
36#16840496C22116yescomplemented
37#16840494C22116yescomplemented
38#16840489C22116yescomplemented
39#16840487C22116yescomplemented
40#16840483C22116yescomplemented
41#16840479C22116yescomplemented
42#16840470C22116yescomplemented
43#16840466C22116yescomplemented
44#16840454C22116yescomplemented
45#16840450C22116yescomplemented
46#16840449C22116yescomplemented
47#16840448C22116yescomplemented
48#16840386C22116yescomplemented
49#16840385C22116yescomplemented
50#16840382C22116yescomplemented
51#16840378C22116yescomplemented
52#16840378C22116yescomplemented
53#16840376C22116yescomplemented
54#16840371C22116yescomplemented
55#16840364C22116yes—
56#16840361C22116yescomplemented
57#16840360C22116yescomplemented
58#16840358C22116yescomplemented
59#16840356C22116yescomplemented
60#16840317C22116yescomplemented
61C2×#14519777C2211yescharacteristic
62C2×#14519776C2211yescharacteristic
63C2×#14519776C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65C2×#14519776C2211yescharacteristic
66C2×#14519775C2211yescharacteristic
67C2×#14519775C2211yescharacteristic
68C2×#14519773C2211yescharacteristic
69#16840295C22116yescomplemented
70#16840295C22116yescomplemented
71C2×#14519772C2211yescharacteristic
72C2×#14519772C2211yescharacteristic
73C2×#14519772C2211yescharacteristic
74C2×#14519772C2211yescharacteristic
75C2×#14519772C2211yescharacteristic
76C2×#14519772C2211yescharacteristic
77C2×#14519772C2211yescharacteristic
78C2×#14519772C2211yescharacteristic
79C2×#14519772C2211yescharacteristic
80C2×#14519771C2211yescharacteristic
81C2×#14519771C2211yescharacteristic
82C2×#14519771C2211yescharacteristic
83C2×#14519770C2211yescharacteristic
84C2×#14519770C2211yescharacteristic
85C2×#14519770C2211yescharacteristic
86C2×#14519770C2211yescharacteristic
87C2×#14519768C2211yescharacteristic
88C2×#14519768C2211yescharacteristic
89C2×#14519768C2211yescharacteristic
90C2×#14519768C2211yescharacteristic
91C2×#14519768C2211yescharacteristic
92C2×#14519768C2211yescharacteristic
93C2×#14519767C2211yescharacteristic
94C2×#14519767C2211yescharacteristic
95C2×#14519767C2211yescharacteristic
96C2×#14519767C2211yescharacteristic
97C2×#14519767C2211yescharacteristic
98C2×#14519767C2211yescharacteristic
99C2×#14519767C2211yescharacteristic
100C2×#14519767C2211yescharacteristic
101C2×#14519767C2211yescharacteristic
102C2×#14519767C2211yescharacteristic
103C2×#14519766C2211yescharacteristic
104C2×#14519766C2211yescharacteristic
105C2×#14519765C2211yescharacteristic
106C2×#14519763C2211yescharacteristic
107C2×#14519763C2211yescharacteristic
108C2×#14519763C2211yescharacteristic
109C2×#14519763C2211yescharacteristic
110C2×#14519763C2211yescharacteristic
111C2×#14519763C2211yescharacteristic
112C2×#14519763C2211yescharacteristic
113C2×#14519763C2211yescharacteristic
114C2×#14519762C2211yescharacteristic
115C2×#14519762C2211yescharacteristic
116C2×#14519762C2211yescharacteristic
117C2×#14519762C2211yescharacteristic
118C2×#14519762C2211yescharacteristic
119C2×#14519762C2211yescharacteristic
120C2×#14519762C2211yescharacteristic
121C2×#14519761C2211yescharacteristic
122C2×#14519761C2211yescharacteristic
123C2×#14519761C2211yescharacteristic
124C2×#14519761C2211yescharacteristic
125C2×#14519760C2211yescharacteristic
126C2×#14519759C2211yescharacteristic
127C2×#14519759C2211yescharacteristic
128C2×#14519759C2211yescharacteristic
129C2×#14519759C2211yescharacteristic
130C2×#14519759C2211yescharacteristic
131C2×#14519758C2211yescharacteristic
132C2×#14519757C2211yescharacteristic
133C2×#14519757C2211yescharacteristic
134C2×#14519757C2211yescharacteristic
135C2×#14519757C2211yescharacteristic
136C2×#14519757C2211yescharacteristic
137C2×#14519755C2211yescharacteristic
138C2×#14519755C2211yescharacteristic
139C2×#14519755C2211yescharacteristic
140C2×#14519755C2211yescharacteristic
141C2×#14519755C2211yescharacteristic
142C2×#14519755C2211yescharacteristic
143C2×#14519754C2211yescharacteristic
144C2×#14519754C2211yescharacteristic
145C2×#14519754C2211yescharacteristic
146C2×#14519754C2211yescharacteristic
147C2×#14519754C2211yescharacteristic
148C2×#14519754C2211yescharacteristic
149C2×#14519753C2211yescharacteristic
150C2×#14519753C2211yescharacteristic
151C2×#14519753C2211yescharacteristic
152C2×#14519753C2211yescharacteristic
153C2×#14519753C2211yescharacteristic
154C2×#14519752C2211yescharacteristic
155C2×#14519751C2211yescharacteristic
156C2×#14519750C2211yescharacteristic
157C2×#14519750C2211yescharacteristic
158C2×#14519750C2211yescharacteristic
159C2×#14519749C2211yescharacteristic
160C2×Q8×Dic61C2211yescharacteristic
161C2×Q8×Dic61C2211yescharacteristic
162C2×Q8×Dic61C2211yescharacteristic
163C2×C4×Dic122C2211yescharacteristic
164C2×C4×Dic122C2211yescharacteristic
165C2×C4×Dic122C2211yescharacteristic
166C2×C4×Dic122C2211yescharacteristic
167C2×#14519742C2211yescharacteristic
168C2×#14519742C2211yescharacteristic
169C2×#14519742C2211yescharacteristic
170C2×#14519742C2211yescharacteristic
171C2×#14519742C2211yescharacteristic
172C2×#14519742C2211yescharacteristic
173C2×#14519742C2211yescharacteristic
174C2×C4×D244C2211yescharacteristic
175C2×D4×Dic61C2211yescharacteristic
176C2×#14519739C2211yescharacteristic
177C2×#14519739C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic
180C2×C4×C22⋊D61C2211yescharacteristic
181C2×#14519737C2211yescharacteristic
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic
184C2×#14519737C2211yescharacteristic
185C2×#14519737C2211yescharacteristic
186C2×#14519737C2211yescharacteristic
187C2×#14519737C2211yescharacteristic
188C2×#14519736C2211yescharacteristic
189C2×#14519735C2211yescharacteristic
190C2×#14519735C2211yescharacteristic
191C2×#14519735C2211yescharacteristic
192C2×#14519735C2211yescharacteristic
193C2×#14519735C2211yescharacteristic
194C2×#14519734C2211yescharacteristic
195C2×#14519733C2211yescharacteristic
196C2×#14519733C2211yescharacteristic
197C2×#14519733C2211yescharacteristic
198C22×C4⋊Dic61C2211yescharacteristic
199C22×#11758196C2211yescharacteristic
200C2×C4⋊C4×D61C2211yescharacteristic
201C2×C4⋊C4×D61C2211yescharacteristic
202C2×C42×D61C2211yescharacteristic
203C61×#563C22116yescomplemented
204C2×C4⋊Q8×C61C2211yescharacteristic
205C2×C4⋊Q8×C61C2211yescharacteristic
206C2×#126×C61C2211yescharacteristic
207C2×#126×C61C2211yescharacteristic
208C2×#126×C61C2211yescharacteristic
209C2×#126×C61C2211yescharacteristic
210C2×#125×C61C2211yescharacteristic
211C2×#125×C61C2211yescharacteristic
212C2×#124×C61C2211yescharacteristic
213C2×#123×C61C2211yescharacteristic
214C2×#123×C61C2211yescharacteristic
215C2×C22⋊Q8×C61C2211yescharacteristic
216C2×C22⋊Q8×C61C2211yescharacteristic
217C2×C22⋊Q8×C61C2211yescharacteristic
218C2×C22⋊Q8×C61C2211yescharacteristic
219C22×Dic122C2311yescharacteristic
220C22×Dic122C2311yescharacteristic
221C22×Dic122C2311yescharacteristic
222C22×Dic122C2311yescharacteristic
223C22×Dic122C2311yescharacteristic
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×D244C2311yescharacteristic
227C22×D244C2311yescharacteristic
228C22×D244C2311yescharacteristic
229C22×C22⋊D61C2311yescharacteristic
230C22×C22⋊D61C2311yescharacteristic
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C23×Dic61C2311yescharacteristic
236C23×Dic61C2311yescharacteristic
237C23×Dic61C2311yescharacteristic
238C23×Dic61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246C22×C4×D61C2311yescharacteristic
247C22×C4×D61C2311yescharacteristic
248#14519777C2318yes—
249#14519776C2318yes—
250#14519776C2318yes—
251#14519776C2318yes—
252#14519776C2318yes—
253#14519775C2318yes—
254#14519775C2318yes—
255#14519773C2318yes—
256#14519772C2318yes—
257#14519772C2318yes—
258#14519772C2318yes—
259#14519772C2318yes—
260#14519772C2318yes—
261#14519772C2318yes—
262#14519772C2318yes—
263#14519772C2318yes—
264#14519772C2318yes—
265#14519771C2318yes—
266#14519771C2318yes—
267#14519771C2318yes—
268#14519770C2318yes—
269#14519770C2318yes—
270#14519770C2318yes—
271#14519770C2318yes—
272#14519768C2318yes—
273#14519768C2318yes—
274#14519768C2318yes—
275#14519768C2318yes—
276#14519768C2318yes—
277#14519768C2318yes—
278#14519767C2318yes—
279#14519767C2318yes—
280#14519767C2318yes—
281#14519767C2318yes—
282#14519767C2318yes—
283#14519767C2318yes—
284#14519767C2318yes—
285#14519767C2318yes—
286#14519767C2318yes—
287#14519767C2318yes—
288#14519766C2318yes—
289#14519766C2318yes—
290#14519765C2318yes—
291#14519763C2318yes—
292#14519763C2318yes—
293#14519763C2318yes—
294#14519763C2318yes—
295#14519763C2318yes—
296#14519763C2318yes—
297#14519763C2318yes—
298#14519763C2318yes—
299#14519762C2318yes—
300#14519762C2318yes—
301#14519762C2318yes—
302#14519762C2318yes—
303#14519762C2318yes—
304#14519762C2318yes—
305#14519762C2318yes—
306#14519761C2318yes—
307#14519761C2318yes—
308#14519761C2318yes—
309#14519761C2318yes—
310#14519760C2318yes—
311#14519759C2318yes—
312#14519759C2318yes—
313#14519759C2318yes—
314#14519759C2318yes—
315#14519759C2318yes—
316#14519758C2318yes—
317#14519757C2318yes—
318#14519757C2318yes—
319#14519757C2318yes—
320#14519757C2318yes—
321#14519757C2318yes—
322#14519755C2318yes—
323#14519755C2318yes—
324#14519755C2318yes—
325#14519755C2318yes—
326#14519755C2318yes—
327#14519755C2318yes—
328#14519754C2318yes—
329#14519754C2318yes—
330#14519754C2318yes—
331#14519754C2318yes—
332#14519754C2318yes—
333#14519754C2318yes—
334#14519753C2318yes—
335#14519753C2318yes—
336#14519753C2318yes—
337#14519753C2318yes—
338#14519753C2318yes—
339#14519752C2318yes—
340#14519751C2318yes—
341#14519750C2318yes—
342#14519750C2318yes—
343#14519750C2318yes—
344#14519749C2318yes—
345Q8×Dic61C2318yes—
346Q8×Dic61C2318yes—
347Q8×Dic61C2318yes—
348C4×Dic122C2318yes—
349C4×Dic122C2318yes—
350C4×Dic122C2318yes—
351C4×Dic122C2318yes—
352#14519742C2318yes—
353#14519742C2318yes—
354#14519742C2318yes—
355#14519742C2318yes—
356#14519742C2318yes—
357#14519742C2318yes—
358#14519742C2318yes—
359C4×D244C2318yes—
360D4×Dic61C2318yes—
361#14519739C2318yes—
362#14519739C2318yes—
363C4×C22⋊D61C2318yes—
364C4×C22⋊D61C2318yes—
365C4×C22⋊D61C2318yes—
366#14519737C2318yes—
367#14519737C2318yes—
368#14519737C2318yes—
369#14519737C2318yes—
370#14519737C2318yes—
371#14519737C2318yes—
372#14519737C2318yes—
373#14519736C2318yes—
374#14519735C2318yes—
375#14519735C2318yes—
376#14519735C2318yes—
377#14519735C2318yes—
378#14519735C2318yes—
379#14519734C2318yes—
380#14519733C2318yes—
381#14519733C2318yes—
382#14519733C2318yes—
383C2×C4⋊Dic61C2318yes—
384C2×C4⋊Dic61C2311yescharacteristic
385C2×C4⋊Dic61C2311yescharacteristic
386C2×C4⋊Dic61C2311yescharacteristic
387C2×C4⋊Dic61C2311yescharacteristic
388C2×C4⋊Dic61C2311yescharacteristic
389C2×C4⋊Dic61C2311yescharacteristic
390C2×C4⋊Dic61C2311yescharacteristic
391C2×C4⋊Dic61C2311yescharacteristic
392C2×C4⋊Dic61C2311yescharacteristic
393C2×C4⋊Dic61C2311yescharacteristic
394C2×C4⋊Dic61C2311yescharacteristic
395C2×C4⋊Dic61C2311yescharacteristic
396C2×C4⋊Dic61C2311yescharacteristic
397C2×C4⋊Dic61C2311yescharacteristic
398C2×C4⋊Dic61C2311yescharacteristic
399C2×C4⋊Dic61C2311yescharacteristic
400C2×#11758196C2318yes—
401C2×#11758196C2311yescharacteristic
402C2×#11758196C2311yescharacteristic
403C2×#11758196C2311yescharacteristic
404C2×#11758196C2311yescharacteristic
405C2×#11758196C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C4⋊C4×D61C2318yes—
430C4⋊C4×D61C2318yes—
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×C4×Dic61C2311yescharacteristic
462C2×C4×Dic61C2311yescharacteristic
463C2×C4×Dic61C2311yescharacteristic
464C2×C4×Dic61C2311yescharacteristic
465C2×C4×Dic61C2311yescharacteristic
466C2×C4×Dic61C2311yescharacteristic
467C2×C4×Dic61C2311yescharacteristic
468C2×C4×Dic61C2311yescharacteristic
469C2×C4×Dic61C2311yescharacteristic
470C2×C4×Dic61C2311yescharacteristic
471C2×C4×Dic61C2311yescharacteristic
472C2×C4×Dic61C2311yescharacteristic
473C2×C4×Dic61C2311yescharacteristic
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C42×D61C2318yes—
479C22×Q8×C61C2311yescharacteristic
480C22×Q8×C61C2311yescharacteristic
481C22×Q8×C61C2311yescharacteristic
482C22×D4×C61C2311yescharacteristic
483C23×C4×C61C2311yescharacteristic
484C23×C4×C61C2311yescharacteristic
485C4⋊Q8×C61C2318yes—
486C4⋊Q8×C61C2318yes—
487#126×C61C2318yes—
488#126×C61C2318yes—
489#126×C61C2318yes—
490#126×C61C2318yes—
491#125×C61C2318yes—
492#125×C61C2318yes—
493#124×C61C2318yes—
494#123×C61C2318yes—
495#123×C61C2318yes—
496C22⋊Q8×C61C2318yes—
497C22⋊Q8×C61C2318yes—
498C22⋊Q8×C61C2318yes—
499C22⋊Q8×C61C2318yes—
500C2×C4⋊C4×C61C2311yescharacteristic
501C2×C4⋊C4×C61C2311yescharacteristic
502C2×C4⋊C4×C61C2311yescharacteristic
503C2×C4⋊C4×C61C2311yescharacteristic
504C2×C4⋊C4×C61C2311yescharacteristic
505C2×C4⋊C4×C61C2311yescharacteristic
506C2×C4⋊C4×C61C2311yescharacteristic
507C2×C4⋊C4×C61C2311yescharacteristic
508C2×C4⋊C4×C61C2311yescharacteristic
509C2×C4⋊C4×C61C2311yescharacteristic
510C2×C4⋊C4×C61C2311yescharacteristic
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C22⋊C4×C61C2311yescharacteristic
517C2×C22⋊C4×C61C2311yescharacteristic
518C2×C22⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C42×C61C2311yescharacteristic
527C2×C42×C61C2311yescharacteristic
528C2×C42×C61C2311yescharacteristic
529C24×C61C2411yescharacteristic
530C24×C61C2411yescharacteristic
531C23×D61C2411yescharacteristic
532C23×D61C2411yescharacteristic
533C23×D61C2411yescharacteristic
534C2×Q8×C61—42no—
535C2×Q8×C61—42no—
536C2×Q8×C61—42no—
537C2×Q8×C61C2414yes—
538C2×Q8×C61C2414yes—
539C2×Q8×C61C2414yes—
540C2×D4×C61—42no—
541C2×D4×C61C2414yes—
542C22×C4×C61—42no—
543C22×C4×C61—42no—
544C22×C4×C61C2411yescharacteristic
545C22×C4×C61C2411yescharacteristic
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C22×C4×C61C2411yescharacteristic
549C22×C4×C61C2411yescharacteristic
550C22×C4×C61C2411yescharacteristic
551C22×C4×C61C2411yescharacteristic
552C22×C4×C61C2411yescharacteristic
553C22×C4×C61C2411yescharacteristic
554C22×C4×C61C2411yescharacteristic
555C22×C4×C61C2411yescharacteristic
556C22×C4×C61C2411yescharacteristic
557C22×C4×C61C2414yes—
558C22×C4×C61C2414yes—
559C2×C22⋊D61—24no—
560C2×C22⋊D61—24no—
561C2×C22⋊D61—42no—
562C2×C22⋊D61—42no—
563C2×C22⋊D61—42no—
564C2×C22⋊D61—42no—
565C2×C22⋊D61C2414yes—
566C2×C22⋊D61C2414yes—
567C2×C22⋊D61C2414yes—
568C2×C22⋊D61C2414yes—
569C2×C22⋊D61C2414yes—
570C2×C22⋊D61C2414yes—
571C22×Dic61—42no—
572C22×Dic61—42no—
573C22×Dic61—42no—
574C22×Dic61—42no—
575C22×Dic61C2411yescharacteristic
576C22×Dic61C2411yescharacteristic
577C22×Dic61C2411yescharacteristic
578C22×Dic61C2411yescharacteristic
579C22×Dic61C2411yescharacteristic
580C22×Dic61C2411yescharacteristic
581C22×Dic61C2411yescharacteristic
582C22×Dic61C2411yescharacteristic
583C22×Dic61C2411yescharacteristic
584C22×Dic61C2411yescharacteristic
585C22×Dic61C2411yescharacteristic
586C22×Dic61C2411yescharacteristic
587C22×Dic61C2414yes—
588C22×Dic61C2414yes—
589C22×Dic61C2414yes—
590C22×Dic61C2414yes—
591C22×Dic61C2411yescharacteristic
592C2×D244—42no—
593C2×D244—42no—
594C2×D244—42no—
595C2×D244C2414yes—
596C2×D244C2414yes—
597C2×D244C2414yes—
598C2×C4×D61—24no—
599C2×C4×D61—42no—
600C2×C4×D61—42no—
601C2×C4×D61—42no—
602C2×C4×D61—42no—
603C2×C4×D61—42no—
604C2×C4×D61—42no—
605C2×C4×D61—42no—
606C2×C4×D61—42no—
607C2×C4×D61C2414yes—
608C2×C4×D61C2414yes—
609C2×C4×D61C2414yes—
610C2×C4×D61C2414yes—
611C2×C4×D61C2414yes—
612C2×C4×D61C2414yes—
613C2×C4×D61C2414yes—
614C2×C4×D61C2414yes—
615C2×C4×D61C2414yes—
616C2×Dic122—24no—
617C2×Dic122—24no—
618C2×Dic122—42no—
619C2×Dic122—42no—
620C2×Dic122—42no—
621C2×Dic122—42no—
622C2×Dic122—42no—
623C2×Dic122C2414yes—
624C2×Dic122C2414yes—
625C2×Dic122C2414yes—
626C2×Dic122C2414yes—
627C2×Dic122C2414yes—
628C2×Dic122C2414yes—
629C2×Dic122C2414yes—
630C4⋊C4×C61C2414yes—
631C4⋊C4×C61C2414yes—
632C4⋊C4×C61C2414yes—
633C4⋊C4×C61C2414yes—
634C4⋊C4×C61C2414yes—
635C4⋊C4×C61C2414yes—
636C4⋊C4×C61C2414yes—
637C4⋊C4×C61C2414yes—
638C4⋊C4×C61C2414yes—
639C4⋊C4×C61C2414yes—
640C4⋊C4×C61C2414yes—
641C4⋊C4×C61C2414yes—
642C4⋊C4×C61C2414yes—
643C4⋊C4×C61C2414yes—
644C4⋊C4×C61C2414yes—
645C4⋊C4×C61C2414yes—
646C22⋊C4×C61C2414yes—
647C22⋊C4×C61C2414yes—
648C22⋊C4×C61C2414yes—
649C22⋊C4×C61C2414yes—
650C22⋊C4×C61C2414yes—
651C22⋊C4×C61C2414yes—
652C22⋊C4×C61C2414yes—
653C22⋊C4×C61C2414yes—
654C22⋊C4×C61C2414yes—
655C22⋊C4×C61C2414yes—
656C42×C61C2414yes—
657C42×C61C2414yes—
658C42×C61C2414yes—
659C22⋊Dic61C2414yes—
660C22⋊Dic61C2414yes—
661C22⋊Dic61C2414yes—
662C22⋊Dic61C2414yes—
663C22⋊Dic61C2414yes—
664C22⋊Dic61C2414yes—
665#11758198C2414yes—
666#11758198C2414yes—
667#11758198C2414yes—
668#11758198C2414yes—
669#11758198C2414yes—
670#11758198C2414yes—
671#11758198C2414yes—
672#11758198C2414yes—
673#11758198C2414yes—
674#11758198C2414yes—
675#11758198C2414yes—
676#11758198C2414yes—
677#11758198C2414yes—
678#11758198C2414yes—
679#11758198C2414yes—
680#11758198C2414yes—
681#11758198C2414yes—
682#11758198C2414yes—
683#11758198C2414yes—
684#11758198C2414yes—
685#11758198C2414yes—
686#11758198C2414yes—
687#11758198C2414yes—
688#11758198C2414yes—
689C4⋊Dic61C2414yes—
690C4⋊Dic61C2414yes—
691C4⋊Dic61C2414yes—
692C4⋊Dic61C2414yes—
693C4⋊Dic61C2414yes—
694C4⋊Dic61C2414yes—
695C4⋊Dic61C2414yes—
696C4⋊Dic61C2414yes—
697C4⋊Dic61C2414yes—
698C4⋊Dic61C2414yes—
699C4⋊Dic61C2414yes—
700C4⋊Dic61C2414yes—
701C4⋊Dic61C2414yes—
702C4⋊Dic61C2414yes—
703C4⋊Dic61C2414yes—
704C4⋊Dic61C2414yes—
705#11758196C2414yes—
706#11758196C2414yes—
707#11758196C2414yes—
708#11758196C2414yes—
709#11758196C2414yes—
710#11758196C2414yes—
711#11758196C2414yes—
712#11758196C2414yes—
713#11758196C2414yes—
714#11758196C2414yes—
715#11758196C2414yes—
716#11758196C2414yes—
717#11758196C2414yes—
718#11758196C2414yes—
719#11758196C2414yes—
720#11758196C2414yes—
721#11758196C2414yes—
722#11758196C2414yes—
723#11758196C2414yes—
724#11758196C2414yes—
725#11758196C2414yes—
726#11758196C2414yes—
727#11758196C2414yes—
728#11758196C2414yes—
729#11758196C2414yes—
730#11758196C2414yes—
731#11758196C2414yes—
732#11758196C2414yes—
733C4×Dic61C2414yes—
734C4×Dic61C2414yes—
735C4×Dic61C2414yes—
736C4×Dic61C2414yes—
737C4×Dic61C2414yes—
738C4×Dic61C2414yes—
739C4×Dic61C2414yes—
740C4×Dic61C2414yes—
741C4×Dic61C2414yes—
742C4×Dic61C2414yes—
743C4×Dic61C2414yes—
744C4×Dic61C2414yes—
745C4×Dic61C2414yes—
746C4×Dic61C2414yes—
747C4×Dic61C2414yes—
748C4×Dic61C2414yes—
749C4×Dic61C2414yes—
750C23×C61—22no—
751C23×C61—22no—
752C23×C61—22no—
753C23×C61—22no—
754C23×C61—22no—
755C23×C61—22no—
756C23×C61C2512yes—
757C23×C61C2512yes—
758C23×C61C2511yescharacteristic
759C22×D61—22no—
760C22×D61—22no—
761C22×D61—22no—
762C22×D61—22no—
763C22×D61—22no—
764C22×D61—22no—
765C22×D61—22no—
766C22×D61—22no—
767C22×D61—22no—
768C22×D61C2512yes—
769C22×D61C2512yes—
770C22×D61C2512yes—
771Q8×C61—44no—
772Q8×C61—44no—
773Q8×C61—44no—
774D4×C61—44no—
775C2×C4×C61—22no—
776C2×C4×C61—22no—
777C2×C4×C61—22no—
778C2×C4×C61—22no—
779C2×C4×C61—22no—
780C2×C4×C61—22no—
781C2×C4×C61—22no—
782C2×C4×C61—22no—
783C2×C4×C61—22no—
784C2×C4×C61—22no—
785C2×C4×C61—22no—
786C2×C4×C61—22no—
787C2×C4×C61—22no—
788C2×C4×C61—44no—
789C2×C4×C61—44no—
790C2×C4×C61C2512yes—
791C2×C4×C61C2512yes—
792C2×C4×C61C2512yes—
793C2×C4×C61C2512yes—
794C2×C4×C61C2512yes—
795C2×C4×C61C2512yes—
796C2×C4×C61C2512yes—
797C2×C4×C61C2512yes—
798C2×C4×C61C2512yes—
799C2×C4×C61C2512yes—
800C2×C4×C61C2512yes—
801C2×C4×C61C2512yes—
802C2×C4×C61C2512yes—
803C22⋊D61—28no—
804C22⋊D61—28no—
805C22⋊D61—44no—
806C22⋊D61—44no—
807C22⋊D61—44no—
808C22⋊D61—44no—
809C2×Dic61—22no—
810C2×Dic61—22no—
811C2×Dic61—22no—
812C2×Dic61—22no—
813C2×Dic61—22no—
814C2×Dic61—22no—
815C2×Dic61—22no—
816C2×Dic61—22no—
817C2×Dic61—22no—
818C2×Dic61—22no—
819C2×Dic61—22no—
820C2×Dic61—22no—
821C2×Dic61—44no—
822C2×Dic61—44no—
823C2×Dic61—44no—
824C2×Dic61—44no—
825C2×Dic612−1+414yes—
826C2×Dic61C2512yes—
827C2×Dic61C2512yes—
828C2×Dic61C2512yes—
829C2×Dic61C2512yes—
830C2×Dic61C2512yes—
831C2×Dic61C2512yes—
832C2×Dic61C2512yes—
833C2×Dic61C2512yes—
834C2×Dic61C2512yes—
835C2×Dic61C2512yes—
836C2×Dic61C2512yes—
837C2×Dic61C2512yes—
838C2×Dic61C2512yes—
839D244—44no—
840D244—44no—
841D244—44no—
842C4×D61—28no—
843C4×D61—44no—
844C4×D61—44no—
845C4×D61—44no—
846C4×D61—44no—
847C4×D61—44no—
848C4×D61—44no—
849C4×D61—44no—
850C4×D61—44no—
851Dic122—28no—
852Dic122—28no—
853Dic122—44no—
854Dic122—44no—
855Dic122—44no—
856Dic122—44no—
857Dic122—44no—
858C2×#3557—611nomaximal, Sylow
859C22×C61—22no—
860C22×C61—22no—
861C22×C61—22no—
862C22×C61—22no—
863C22×C61—22no—
864C22×C61—22no—
865C22×C61—44no—
866C22×C61—44no—
867C22×C61C2×2−1+412yes—
868C22×C61#58512yes—
869C22×C61#58512yes—
870C22×C61C2611yescharacteristic
871C2×D61—22no—
872C2×D61—22no—
873C2×D61—22no—
874C2×D61—22no—
875C2×D61—22no—
876C2×D61—22no—
877C2×D61—22no—
878C2×D61—22no—
879C2×D61—22no—
880C2×D61—44no—
881C2×D61—44no—
882C2×D61—44no—
883C4×C61—22no—
884C4×C61—22no—
885C4×C61—22no—
886C4×C61—22no—
887C4×C61—22no—
888C4×C61—22no—
889C4×C61—22no—
890C4×C61—22no—
891C4×C61—22no—
892C4×C61—22no—
893C4×C61—22no—
894C4×C61—22no—
895C4×C61—22no—
896Dic61—22no—
897Dic61—22no—
898Dic61—22no—
899Dic61—22no—
900Dic61—22no—
901Dic61—22no—
902Dic61—22no—
903Dic61—22no—
904Dic61—22no—
905Dic61—22no—
906Dic61—22no—
907Dic61—22no—
908Dic61C2×2−1+414yes—
909#3557—6132no—
910C2×#563—611no—
911C2×#563—611no—
912C2×#563—611no—
913C2×#563D6111yescharacteristic, complemented
914C2×#559—611no—
915C2×#559—611no—
916C2×#557—611no—
917C2×#557—611no—
918C2×#556—611no—
919C2×#556—611no—
920C2×#554—611no—
921C2×#554—611no—
922C2×#552—611no—
923C2×#552—611no—
924C2×#552—611no—
925C2×#552—611no—
926C2×#542—611no—
927C2×#542—611no—
928C2×#542—611no—
929C2×#542—611no—
930C2×#542—611no—
931C2×#542—611no—
932C2×#541—611no—
933C2×#540—611no—
934C2×#539—611no—
935C2×#539—611no—
936C2×#539—611no—
937C2×#539—611no—
938C2×#533—611no—
939C2×#529—611no—
940C2×#529—611no—
941C2×C61—42no—
942C2×C61—42no—
943C2×C61#355714yescomplemented
944C2×C61C22×2−1+411yescharacteristic
945C2×C61C2×#58511yescharacteristic
946C2×C61C2×#58511yescharacteristic
947D61—42no—
948D61—42no—
949D61—42no—
950#563—6116no—
951#563—6116no—
952#563—6116no—
953#563C2×D61116yescomplemented
954#559—6116no—
955#559—6116no—
956#557—6116no—
957#557—6116no—
958#556—6116no—
959#556—6116no—
960#554—6116no—
961#554—6116no—
962#552—6116no—
963#552—6116no—
964#552—6116no—
965#552—6116no—
966#542—6116no—
967#542—6116no—
968#542—6116no—
969#542—6116no—
970#542—6116no—
971#542—6116no—
972#541—6116no—
973#540—6116no—
974#539—6116no—
975#539—6116no—
976#539—6116no—
977#539—6116no—
978#533—6116no—
979C2×C4⋊Q8—611no—
980C2×C4⋊Q8—611no—
981C2×C4⋊Q8—611no—
982C2×C4⋊Q8—611no—
983C2×C4⋊Q8—611no—
984C2×C4⋊Q8—611no—
985C2×C4⋊Q8—611no—
986C2×C4⋊Q8C2×D6111yescharacteristic
987C2×C4⋊Q8C2×D6111yescharacteristic
988C2×#127—611no—
989#529—6116no—
990#529—6116no—
991C2×#126—611no—
992C2×#126—611no—
993C2×#126—611no—
994C2×#126—611no—
995C2×#126—611no—
996C2×#126—611no—
997C2×#126—611no—
998C2×#126—611no—
999C2×#126—611no—
1000C2×#126—611no—
1001C2×#126—611no—
1002C2×#126—611no—
1003C2×#126—611no—
1004C2×#126—611no—
1005C2×#126—611no—
1006C2×#126—611no—
1007C2×#126C2×D6111yescharacteristic
1008C2×#126C2×D6111yescharacteristic
1009C2×#126C2×D6111yescharacteristic
1010C2×#126C2×D6111yescharacteristic
1011C2×#125—611no—
1012C2×#125—611no—
1013C2×#125—611no—
1014C2×#125—611no—
1015C2×#125—611no—
1016C2×#125—611no—
1017C2×#125—611no—
1018C2×#125—611no—
1019C2×#125—611no—
1020C2×#125—611no—
1021C2×#125—611no—
1022C2×#125—611no—
1023C2×#125—611no—
1024C2×#125—611no—
1025C2×#125—611no—
1026C2×#125—611no—
1027C2×#125C2×D6111yescharacteristic
1028C2×#125C2×D6111yescharacteristic
1029C2×#124—611no—
1030C2×#124—611no—
1031C2×#124—611no—
1032C2×#124—611no—
1033C2×#124—611no—
1034C2×#124—611no—
1035C2×#124—611no—
1036C2×#124—611no—
1037C2×#124—611no—
1038C2×#124—611no—
1039C2×#124—611no—
1040C2×#124C2×D6111yescharacteristic
1041C2×#123—611no—
1042C2×#123—611no—
1043C2×#123—611no—
1044C2×#123—611no—
1045C2×#123—611no—
1046C2×#123—611no—
1047C2×#123—611no—
1048C2×#123—611no—
1049C2×#123—611no—
1050C2×#123—611no—
1051C2×#123—611no—
1052C2×#123—611no—
1053C2×#123—611no—
1054C2×#123—611no—
1055C2×#123—611no—
1056C2×#123—611no—
1057C2×#123—611no—
1058C2×#123—611no—
1059C2×#123C2×D6111yescharacteristic
1060C2×#123C2×D6111yescharacteristic
1061C2×C22⋊Q8—611no—
1062C2×C22⋊Q8—611no—
1063C2×C22⋊Q8—611no—
1064C2×C22⋊Q8—611no—
1065C2×C22⋊Q8—611no—
1066C2×C22⋊Q8—611no—
1067C2×C22⋊Q8—611no—
1068C2×C22⋊Q8—611no—
1069C2×C22⋊Q8—611no—
1070C2×C22⋊Q8—611no—
1071C2×C22⋊Q8—611no—
1072C2×C22⋊Q8—611no—
1073C2×C22⋊Q8—611no—
1074C2×C22⋊Q8—611no—
1075C2×C22⋊Q8—611no—
1076C2×C22⋊Q8—611no—
1077C2×C22⋊Q8—611no—
1078C2×C22⋊Q8—611no—
1079C2×C22⋊Q8—611no—
1080C2×C22⋊Q8—611no—
1081C2×C22⋊Q8—611no—
1082C2×C22⋊Q8—611no—
1083C2×C22⋊Q8C2×D6111yescharacteristic
1084C2×C22⋊Q8C2×D6111yescharacteristic
1085C2×C22⋊Q8C2×D6111yescharacteristic
1086C2×C22⋊Q8C2×D6111yescharacteristic
1087C2×#121—611no—
1088C2×#121—611no—
1089C2×#121—611no—
1090C2×#121—611no—
1091C2×#121—611no—
1092C2×#121—611no—
1093C2×C4×Q8—611no—
1094C2×C4×Q8—611no—
1095C2×C4×Q8—611no—
1096C2×C4×Q8—611no—
1097C2×C4×Q8—611no—
1098C2×C4×Q8—611no—
1099C2×C4×Q8—611no—
1100C2×C4×Q8—611no—
1101C2×C4×Q8—611no—
1102C2×C4×Q8—611no—
1103C2×C4×Q8—611no—
1104C2×C4×Q8—611no—
1105C2×C4×Q8—611no—
1106C2×C4×Q8—611no—
1107C2×C4×D4—611no—
1108C2×C4×D4—611no—
1109C2×C4×D4—611no—
1110C2×C4×D4—611no—
1111C2×C4×D4—611no—
1112C2×C4×D4—611no—
1113C2×C4×D4—611no—
1114C2×C4×D4—611no—
1115C2×C4×D4—611no—
1116C2×C4×D4—611no—
1117C2×C4×D4—611no—
1118C2×C4×D4—611no—
1119C2×C4×D4—611no—
1120C2×C4×D4—611no—
1121C2×#117—611no—
1122C2×#117—611no—
1123C2×#117—611no—
1124C2×#117—611no—
1125C2×#117—611no—
1126C2×#117—611no—
1127C2×#117—611no—
1128C2×#117—611no—
1129C2×#117—611no—
1130C2×#117—611no—
1131C22×C4⋊C4—611no—
1132C22×C4⋊C4—611no—
1133C22×C4⋊C4—611no—
1134C22×C4⋊C4—611no—
1135C22×C42—611no—
1136C61C2×#355711yescharacteristic, complemented, Sylow
1137C22×Q8—611no—
1138C22×Q8—611no—
1139C22×Q8—611no—
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×Q8—611no—
1143C22×Q8—611no—
1144C22×Q8C22×D6111yescharacteristic
1145C22×Q8C22×D6111yescharacteristic
1146C22×Q8C22×D6111yescharacteristic
1147C22×D4—611no—
1148C22×D4—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—611no—
1152C22×D4—611no—
1153C22×D4—611no—
1154C22×D4—611no—
1155C22×D4—611no—
1156C22×D4C22×D6111yescharacteristic
1157C23×C4—611no—
1158C23×C4—611no—
1159C23×C4—611no—
1160C23×C4—611no—
1161C23×C4—611no—
1162C23×C4—611no—
1163C23×C4—611no—
1164C23×C4—611no—
1165C23×C4—611no—
1166C23×C4—611no—
1167C23×C4—611no—
1168C23×C4—611no—
1169C23×C4—611no—
1170C23×C4C22×D6111yescharacteristic
1171C23×C4C22×D6111yescharacteristic
1172C4⋊Q8—618no—
1173C4⋊Q8—618no—
1174C4⋊Q8—618no—
1175C4⋊Q8—618no—
1176C4⋊Q8—618no—
1177C4⋊Q8—618no—
1178C4⋊Q8—618no—
1179C4⋊Q8C22×D6118yes—
1180C4⋊Q8C22×D6118yes—
1181#127—618no—
1182#126—618no—
1183#126—618no—
1184#126—618no—
1185#126—618no—
1186#126—618no—
1187#126—618no—
1188#126—618no—
1189#126—618no—
1190#126—618no—
1191#126—618no—
1192#126—618no—
1193#126—618no—
1194#126—618no—
1195#126—618no—
1196#126—618no—
1197#126—618no—
1198#126C22×D6118yes—
1199#126C22×D6118yes—
1200#126C22×D6118yes—
1201#126C22×D6118yes—
1202#125—618no—
1203#125—618no—
1204#125—618no—
1205#125—618no—
1206#125—618no—
1207#125—618no—
1208#125—618no—
1209#125—618no—
1210#125—618no—
1211#125—618no—
1212#125—618no—
1213#125—618no—
1214#125—618no—
1215#125—618no—
1216#125—618no—
1217#125—618no—
1218#125C22×D6118yes—
1219#125C22×D6118yes—
1220#124—618no—
1221#124—618no—
1222#124—618no—
1223#124—618no—
1224#124—618no—
1225#124—618no—
1226#124—618no—
1227#124—618no—
1228#124—618no—
1229#124—618no—
1230#124—618no—
1231#124C22×D6118yes—
1232#123—618no—
1233#123—618no—
1234#123—618no—
1235#123—618no—
1236#123—618no—
1237#123—618no—
1238#123—618no—
1239#123—618no—
1240#123—618no—
1241#123—618no—
1242#123—618no—
1243#123—618no—
1244#123—618no—
1245#123—618no—
1246#123—618no—
1247#123—618no—
1248#123—618no—
1249#123—618no—
1250#123C22×D6118yes—
1251#123C22×D6118yes—
1252C22⋊Q8—618no—
1253C22⋊Q8—618no—
1254C22⋊Q8—618no—
1255C22⋊Q8—618no—
1256C22⋊Q8—618no—
1257C22⋊Q8—618no—
1258C22⋊Q8—618no—
1259C22⋊Q8—618no—
1260C22⋊Q8—618no—
1261C22⋊Q8—618no—
1262C22⋊Q8—618no—
1263C22⋊Q8—618no—
1264C22⋊Q8—618no—
1265C22⋊Q8—618no—
1266C22⋊Q8—618no—
1267C22⋊Q8—618no—
1268C22⋊Q8—618no—
1269C22⋊Q8—618no—
1270C22⋊Q8—618no—
1271C22⋊Q8—618no—
1272C22⋊Q8—618no—
1273C22⋊Q8—618no—
1274C22⋊Q8C22×D6118yes—
1275C22⋊Q8C22×D6118yes—
1276C22⋊Q8C22×D6118yes—
1277C22⋊Q8C22×D6118yes—
1278#121—618no—
1279#121—618no—
1280#121—618no—
1281#121—618no—
1282#121—618no—
1283#121—618no—
1284C4×Q8—618no—
1285C4×Q8—618no—
1286C4×Q8—618no—
1287C4×Q8—618no—
1288C4×Q8—618no—
1289C4×Q8—618no—
1290C4×Q8—618no—
1291C4×Q8—618no—
1292C4×Q8—618no—
1293C4×Q8—618no—
1294C4×Q8—618no—
1295C4×Q8—618no—
1296C4×Q8—618no—
1297C4×Q8—618no—
1298C4×D4—618no—
1299C4×D4—618no—
1300C4×D4—618no—
1301C4×D4—618no—
1302C4×D4—618no—
1303C4×D4—618no—
1304C4×D4—618no—
1305C4×D4—618no—
1306C4×D4—618no—
1307C4×D4—618no—
1308C4×D4—618no—
1309C4×D4—618no—
1310C4×D4—618no—
1311C4×D4—618no—
1312#117—618no—
1313#117—618no—
1314#117—618no—
1315#117—618no—
1316#117—618no—
1317#117—618no—
1318#117—618no—
1319#117—618no—
1320#117—618no—
1321#117—618no—
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—611no—
1327C2×C4⋊C4—611no—
1328C2×C4⋊C4—611no—
1329C2×C4⋊C4—611no—
1330C2×C4⋊C4—611no—
1331C2×C4⋊C4—611no—
1332C2×C4⋊C4—611no—
1333C2×C4⋊C4—611no—
1334C2×C4⋊C4—618no—
1335C2×C4⋊C4—618no—
1336C2×C4⋊C4—611no—
1337C2×C4⋊C4—611no—
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—611no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—611no—
1342C2×C4⋊C4—611no—
1343C2×C4⋊C4—611no—
1344C2×C4⋊C4—611no—
1345C2×C4⋊C4—611no—
1346C2×C4⋊C4—611no—
1347C2×C4⋊C4—611no—
1348C2×C4⋊C4—611no—
1349C2×C4⋊C4—611no—
1350C2×C4⋊C4—611no—
1351C2×C4⋊C4—611no—
1352C2×C4⋊C4—611no—
1353C2×C4⋊C4—611no—
1354C2×C4⋊C4—611no—
1355C2×C4⋊C4—611no—
1356C2×C4⋊C4—611no—
1357C2×C4⋊C4—611no—
1358C2×C4⋊C4—611no—
1359C2×C4⋊C4—611no—
1360C2×C4⋊C4—611no—
1361C2×C4⋊C4—611no—
1362C2×C4⋊C4—611no—
1363C2×C4⋊C4—611no—
1364C2×C4⋊C4—611no—
1365C2×C4⋊C4—611no—
1366C2×C4⋊C4—611no—
1367C2×C4⋊C4—611no—
1368C2×C4⋊C4—618no—
1369C2×C4⋊C4—618no—
1370C2×C4⋊C4C22×D6111yescharacteristic
1371C2×C4⋊C4C22×D6111yescharacteristic
1372C2×C4⋊C4C22×D6111yescharacteristic
1373C2×C4⋊C4C22×D6111yescharacteristic
1374C2×C4⋊C4C22×D6111yescharacteristic
1375C2×C4⋊C4C22×D6111yescharacteristic
1376C2×C4⋊C4C22×D6111yescharacteristic
1377C2×C4⋊C4C22×D6111yescharacteristic
1378C2×C4⋊C4C22×D6111yescharacteristic
1379C2×C4⋊C4C22×D6111yescharacteristic
1380C2×C4⋊C4C22×D6111yescharacteristic
1381C2×C4⋊C4C22×D6111yescharacteristic
1382C2×C4⋊C4C22×D6111yescharacteristic
1383C2×C4⋊C4C22×D6111yescharacteristic
1384C2×C4⋊C4C22×D6111yescharacteristic
1385C2×C4⋊C4C22×D6111yescharacteristic
1386C2×C22⋊C4—611no—
1387C2×C22⋊C4—611no—
1388C2×C22⋊C4—611no—
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—611no—
1392C2×C22⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—611no—
1396C2×C22⋊C4—611no—
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—611no—
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—611no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—611no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—611no—
1416C2×C22⋊C4C22×D6111yescharacteristic
1417C2×C22⋊C4C22×D6111yescharacteristic
1418C2×C22⋊C4C22×D6111yescharacteristic
1419C2×C22⋊C4C22×D6111yescharacteristic
1420C2×C22⋊C4C22×D6111yescharacteristic
1421C2×C22⋊C4C22×D6111yescharacteristic
1422C2×C22⋊C4C22×D6111yescharacteristic
1423C2×C22⋊C4C22×D6111yescharacteristic
1424C2×C22⋊C4C22×D6111yescharacteristic
1425C2×C22⋊C4C22×D6111yescharacteristic
1426C2×C42—611no—
1427C2×C42—611no—
1428C2×C42—611no—
1429C2×C42—611no—
1430C2×C42—611no—
1431C2×C42—611no—
1432C2×C42—611no—
1433C2×C42—611no—
1434C2×C42—611no—
1435C2×C42—611no—
1436C2×C42—611no—
1437C2×C42—611no—
1438C2×C42—611no—
1439C2×C42—611no—
1440C2×C42—611no—
1441C2×C42—611no—
1442C2×C42—611no—
1443C2×C42—618no—
1444C2×C42C22×D6111yescharacteristic
1445C2×C42C22×D6111yescharacteristic
1446C2×C42C22×D6111yescharacteristic
1447C24—611no—
1448C24—611no—
1449C24—611no—
1450C24C23×D6111yescharacteristic
1451C24C23×D6111yescharacteristic
1452C2×Q8—42no—
1453C2×Q8—42no—
1454C2×Q8—42no—
1455C2×Q8—614no—
1456C2×Q8—614no—
1457C2×Q8—614no—
1458C2×Q8—614no—
1459C2×Q8—614no—
1460C2×Q8—614no—
1461C2×Q8—614no—
1462C2×Q8—1224no—
1463C2×Q8—1224no—
1464C2×Q8—2442no—
1465C2×Q8—2442no—
1466C2×Q8—2442no—
1467C2×Q8—2442no—
1468C2×Q8—2442no—
1469C2×Q8C23×D6114yes—
1470C2×Q8C23×D6114yes—
1471C2×Q8C23×D6114yes—
1472C2×D4—42no—
1473C2×D4—614no—
1474C2×D4—614no—
1475C2×D4—614no—
1476C2×D4—614no—
1477C2×D4—614no—
1478C2×D4—614no—
1479C2×D4—614no—
1480C2×D4—614no—
1481C2×D4—614no—
1482C2×D4—1224no—
1483C2×D4—1224no—
1484C2×D4—2442no—
1485C2×D4—2442no—
1486C2×D4—2442no—
1487C2×D4—2442no—
1488C2×D4—2442no—
1489C2×D4—2442no—
1490C2×D4—2442no—
1491C2×D4C23×D6114yes—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—611no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—611no—
1503C22×C4—611no—
1504C22×C4—611no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—614no—
1508C22×C4—614no—
1509C22×C4—614no—
1510C22×C4—614no—
1511C22×C4—614no—
1512C22×C4—614no—
1513C22×C4—614no—
1514C22×C4—614no—
1515C22×C4—614no—
1516C22×C4—614no—
1517C22×C4—614no—
1518C22×C4—614no—
1519C22×C4—614no—
1520C22×C4—1224no—
1521C22×C4—2442no—
1522C22×C4—2442no—
1523C22×C4—2442no—
1524C22×C4—2442no—
1525C22×C4—2442no—
1526C22×C4—2442no—
1527C22×C4—2442no—
1528C22×C4—2442no—
1529C22×C4—2442no—
1530C22×C4—2442no—
1531C22×C4—2442no—
1532C22×C4—2442no—
1533C22×C4C23×D6111yescharacteristic
1534C22×C4C23×D6111yescharacteristic
1535C22×C4C23×D6111yescharacteristic
1536C22×C4C23×D6111yescharacteristic
1537C22×C4C23×D6111yescharacteristic
1538C22×C4C23×D6111yescharacteristic
1539C22×C4C23×D6111yescharacteristic
1540C22×C4C23×D6111yescharacteristic
1541C22×C4C23×D6111yescharacteristic
1542C22×C4C23×D6111yescharacteristic
1543C22×C4C23×D6111yescharacteristic
1544C22×C4C23×D6111yescharacteristic
1545C22×C4C23×D6111yescharacteristic
1546C22×C4C23×D6114yes—
1547C22×C4C23×D6114yes—
1548C4⋊C4—614no—
1549C4⋊C4—614no—
1550C4⋊C4—614no—
1551C4⋊C4—614no—
1552C4⋊C4—614no—
1553C4⋊C4—614no—
1554C4⋊C4—614no—
1555C4⋊C4—614no—
1556C4⋊C4—614no—
1557C4⋊C4—614no—
1558C4⋊C4—614no—
1559C4⋊C4—614no—
1560C4⋊C4—614no—
1561C4⋊C4—614no—
1562C4⋊C4—614no—
1563C4⋊C4—614no—
1564C4⋊C4—614no—
1565C4⋊C4—614no—
1566C4⋊C4—614no—
1567C4⋊C4—614no—
1568C4⋊C4—614no—
1569C4⋊C4—614no—
1570C4⋊C4—614no—
1571C4⋊C4—614no—
1572C4⋊C4—614no—
1573C4⋊C4—614no—
1574C4⋊C4—614no—
1575C4⋊C4—614no—
1576C4⋊C4—614no—
1577C4⋊C4—614no—
1578C4⋊C4—614no—
1579C4⋊C4—614no—
1580C4⋊C4—614no—
1581C4⋊C4—614no—
1582C4⋊C4—614no—
1583C4⋊C4—614no—
1584C4⋊C4—614no—
1585C4⋊C4—614no—
1586C4⋊C4—614no—
1587C4⋊C4—614no—
1588C4⋊C4—614no—
1589C4⋊C4—614no—
1590C4⋊C4—614no—
1591C4⋊C4—614no—
1592C4⋊C4C23×D6114yes—
1593C4⋊C4C23×D6114yes—
1594C4⋊C4C23×D6114yes—
1595C4⋊C4C23×D6114yes—
1596C4⋊C4C23×D6114yes—
1597C4⋊C4C23×D6114yes—
1598C4⋊C4C23×D6114yes—
1599C4⋊C4C23×D6114yes—
1600C4⋊C4C23×D6114yes—
1601C4⋊C4C23×D6114yes—
1602C4⋊C4C23×D6114yes—
1603C4⋊C4C23×D6114yes—
1604C4⋊C4C23×D6114yes—
1605C4⋊C4C23×D6114yes—
1606C4⋊C4C23×D6114yes—
1607C4⋊C4C23×D6114yes—
1608C22⋊C4—614no—
1609C22⋊C4—614no—
1610C22⋊C4—614no—
1611C22⋊C4—614no—
1612C22⋊C4—614no—
1613C22⋊C4—614no—
1614C22⋊C4—614no—
1615C22⋊C4—614no—
1616C22⋊C4—614no—
1617C22⋊C4—614no—
1618C22⋊C4—614no—
1619C22⋊C4—614no—
1620C22⋊C4—614no—
1621C22⋊C4—614no—
1622C22⋊C4—614no—
1623C22⋊C4—614no—
1624C22⋊C4—614no—
1625C22⋊C4—614no—
1626C22⋊C4—614no—
1627C22⋊C4—614no—
1628C22⋊C4—614no—
1629C22⋊C4—614no—
1630C22⋊C4—614no—
1631C22⋊C4—614no—
1632C22⋊C4—614no—
1633C22⋊C4—614no—
1634C22⋊C4—614no—
1635C22⋊C4—614no—
1636C22⋊C4—614no—
1637C22⋊C4—614no—
1638C22⋊C4C23×D6114yes—
1639C22⋊C4C23×D6114yes—
1640C22⋊C4C23×D6114yes—
1641C22⋊C4C23×D6114yes—
1642C22⋊C4C23×D6114yes—
1643C22⋊C4C23×D6114yes—
1644C22⋊C4C23×D6114yes—
1645C22⋊C4C23×D6114yes—
1646C22⋊C4C23×D6114yes—
1647C22⋊C4C23×D6114yes—
1648C42—614no—
1649C42—614no—
1650C42—614no—
1651C42—614no—
1652C42—614no—
1653C42—614no—
1654C42—614no—
1655C42—614no—
1656C42—614no—
1657C42—614no—
1658C42—614no—
1659C42—614no—
1660C42—614no—
1661C42—614no—
1662C42—614no—
1663C42—614no—
1664C42—614no—
1665C42C23×D6114yes—
1666C42C23×D6114yes—
1667C42C23×D6114yes—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—612no—
1675C23—612no—
1676C23—612no—
1677C23—1222no—
1678C23—1222no—
1679C23—1222no—
1680C23—1222no—
1681C23—1222no—
1682C23—1222no—
1683C23—1222no—
1684C23—1222no—
1685C23—1222no—
1686C23C24×D6112yes—
1687C23C24×D6112yes—
1688C23C24×D6111yescharacteristic
1689Q8—44no—
1690Q8—44no—
1691Q8—44no—
1692Q8—1228no—
1693Q8—1228no—
1694Q8—2444no—
1695Q8—2444no—
1696Q8—2444no—
1697Q8—2444no—
1698Q8—2444no—
1699D4—44no—
1700D4—1228no—
1701D4—1228no—
1702D4—2444no—
1703D4—2444no—
1704D4—2444no—
1705D4—2444no—
1706D4—2444no—
1707D4—2444no—
1708D4—2444no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—614no—
1725C2×C4—612no—
1726C2×C4—612no—
1727C2×C4—612no—
1728C2×C4—612no—
1729C2×C4—612no—
1730C2×C4—612no—
1731C2×C4—612no—
1732C2×C4—612no—
1733C2×C4—612no—
1734C2×C4—612no—
1735C2×C4—612no—
1736C2×C4—612no—
1737C2×C4—612no—
1738C2×C4—1228no—
1739C2×C4—1222no—
1740C2×C4—1222no—
1741C2×C4—1222no—
1742C2×C4—1222no—
1743C2×C4—1222no—
1744C2×C4—1222no—
1745C2×C4—1222no—
1746C2×C4—1222no—
1747C2×C4—1222no—
1748C2×C4—1222no—
1749C2×C4—1222no—
1750C2×C4—1222no—
1751C2×C4—2444no—
1752C2×C4—2444no—
1753C2×C4—2444no—
1754C2×C4—2444no—
1755C2×C4—2444no—
1756C2×C4—2444no—
1757C2×C4—2444no—
1758C2×C4—2444no—
1759C2×C4—2444no—
1760C2×C4—2444no—
1761C2×C4—2444no—
1762C2×C4—2444no—
1763C2×C4C24×D6112yes—
1764C2×C4C24×D6112yes—
1765C2×C4C24×D6112yes—
1766C2×C4C24×D6112yes—
1767C2×C4C24×D6112yes—
1768C2×C4C24×D6112yes—
1769C2×C4C24×D6112yes—
1770C2×C4C24×D6112yes—
1771C2×C4C24×D6112yes—
1772C2×C4C24×D6112yes—
1773C2×C4C24×D6112yes—
1774C2×C4C24×D6112yes—
1775C2×C4C24×D6112yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—44no—
1783C22—44no—
1784C22—1222no—
1785C22—1222no—
1786C22—1222no—
1787C22—1222no—
1788C22—1222no—
1789C22—1222no—
1790C22—1222no—
1791C22—1222no—
1792C22—1222no—
1793C22—2444no—
1794C22—2444no—
1795C22—2444no—
1796C222−1+4×D6112yes—
1797C22#1684059712yes—
1798C22#1684059912yes—
1799C22C25×D6111yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—614no—
1814C4—1222no—
1815C4—1222no—
1816C4—1222no—
1817C4—1222no—
1818C4—1222no—
1819C4—1222no—
1820C4—1222no—
1821C4—1222no—
1822C4—1222no—
1823C4—1222no—
1824C4—1222no—
1825C4—1222no—
1826C2—42no—
1827C2—42no—
1828C2—2442no—
1829C2—2442no—
1830C2—2442no—
1831C2#2146031914yesdirect product factor
1832C2C2×2−1+4×D6111yescharacteristic
1833C2C2×#1684059711yescharacteristic
1834C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#563C2
socleC23×C61C25
prime radicalC2×#16840364C2
hypercenterC2×#563D61
hypocenterC61C2×#3557
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #21460319C2direct (N × H)
2. C2×#16840514C2semidirect
3. C2×#16840514C2semidirect
4. C2×#16840511C2semidirect
5. C2×#16840496C2semidirect
6. C2×#16840494C2semidirect
7. C2×#16840489C2semidirect
8. C2×#16840487C2semidirect
9. C2×#16840483C2semidirect
10. C2×#16840479C2semidirect
11. C2×#16840470C2semidirect
12. C2×#16840466C2semidirect
13. C2×#16840454C2semidirect
14. C2×#16840450C2semidirect
15. C2×#16840449C2semidirect
16. C2×#16840448C2semidirect
17. C2×#16840386C2semidirect
18. C2×#16840385C2semidirect
19. C2×#16840382C2semidirect
20. C2×#16840378C2semidirect
21. C2×#16840378C2semidirect
22. C2×#16840376C2semidirect
23. C2×#16840371C2semidirect
25. C2×#16840361C2semidirect
26. C2×#16840360C2semidirect
27. C2×#16840358C2semidirect
28. C2×#16840356C2semidirect
29. C2×#16840317C2semidirect
30. C2×#16840295C2semidirect
31. C2×#16840295C2semidirect
32. C2×C61×#563C2semidirect
33. #16840514C22semidirect
34. #16840514C22semidirect
35. #16840511C22semidirect
36. #16840496C22semidirect
37. #16840494C22semidirect
38. #16840489C22semidirect
39. #16840487C22semidirect
40. #16840483C22semidirect
41. #16840479C22semidirect
42. #16840470C22semidirect
43. #16840466C22semidirect
44. #16840454C22semidirect
45. #16840450C22semidirect
46. #16840449C22semidirect
47. #16840448C22semidirect
48. #16840386C22semidirect
49. #16840385C22semidirect
50. #16840382C22semidirect
51. #16840378C22semidirect
52. #16840378C22semidirect
53. #16840376C22semidirect
54. #16840371C22semidirect
56. #16840361C22semidirect
57. #16840360C22semidirect
58. #16840358C22semidirect
59. #16840356C22semidirect
60. #16840317C22semidirect
69. #16840295C22semidirect
70. #16840295C22semidirect
203. C61×#563C22semidirect
913. C2×#563D61semidirect
943. C2×C61#3557semidirect
953. #563C2×D61semidirect
1136. C61C2×#3557semidirect
1831. C2#21460319direct (N × H)

Maximal subgroups

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

subgroupindex
#214603192
C2×#168405142
C2×#168405112
C2×#168404962
C2×#168404942
C2×#168404892
C2×#168404872
C2×#168404832
C2×#168404792
C2×#168404702
C2×#168404662
C2×#168404542
C2×#168404502
C2×#168404492
C2×#168404482
C2×#168403862
C2×#168403852
C2×#168403822
C2×#168403782
C2×#168403762
C2×#168403712
C2×#168403642
C2×#168403612
C2×#168403602
C2×#168403582
C2×#168403562
C2×#168403172
C2×#168402952
C2×C61×#5632
C2×#355761