Finite Group Databasebeta

← C2×#21460472 #30587556

Subgroups — C2×#21460472 #30587556

Order 15616.

6694 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460472C2132yesmaximal, direct product factor
2C2×#16840514C211yesmaximal, characteristic, complemented
3C2×#16840507C211yesmaximal, characteristic, complemented
4C2×#16840507C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840496C211yesmaximal, characteristic, complemented
7C2×#16840482C211yesmaximal, characteristic, complemented
8C2×#16840476C211yesmaximal, characteristic, complemented
9C2×#16840462C211yesmaximal, characteristic, complemented
10C2×#16840461C211yesmaximal, characteristic, complemented
11C2×#16840447C211yesmaximal, characteristic, complemented
12C2×#16840445C211yesmaximal, characteristic, complemented
13C2×#16840444C211yesmaximal, characteristic, complemented
14C2×#16840441C211yesmaximal, characteristic, complemented
15C2×#16840437C211yesmaximal, characteristic, complemented
16C2×#16840435C211yesmaximal, characteristic, complemented
17C2×#16840383C211yesmaximal, characteristic, complemented
18C2×#16840378C211yesmaximal, characteristic, complemented
19C2×#16840377C211yesmaximal, characteristic, complemented
20C2×#16840371C211yesmaximal, characteristic, complemented
21C2×#16840369C211yesmaximal, characteristic, complemented
22C2×#16840365C211yesmaximal, characteristic, complemented
23C2×#16840359C211yesmaximal, characteristic, complemented
24C2×#16840357C211yesmaximal, characteristic, complemented
25C2×#16840355C211yesmaximal, characteristic, complemented
26C2×#16840345C211yesmaximal, characteristic, complemented
27C2×#16840344C211yesmaximal, characteristic, complemented
28C2×#16840344C211yesmaximal, characteristic, complemented
29C2×#16840292C211yesmaximal, characteristic, complemented
30C2×#16840292C211yesmaximal, characteristic, complemented
31C2×#16840289C211yesmaximal, characteristic, complemented
32C2×C61×#553C211yesmaximal, characteristic, complemented
33#16840514C22116yescomplemented
34#16840507C22116yescomplemented
35#16840507C22116yescomplemented
36#16840500C22116yescomplemented
37#16840496C22116yescomplemented
38#16840482C22116yescomplemented
39#16840476C22116yescomplemented
40#16840462C22116yescomplemented
41#16840461C22116yescomplemented
42#16840447C22116yescomplemented
43#16840445C22116yescomplemented
44#16840444C22116yescomplemented
45#16840441C22116yescomplemented
46#16840437C22116yescomplemented
47#16840435C22116yescomplemented
48#16840383C22116yescomplemented
49#16840378C22116yescomplemented
50#16840377C22116yescomplemented
51#16840371C22116yescomplemented
52#16840369C22116yescomplemented
53#16840365C22116yescomplemented
54#16840359C22116yescomplemented
55#16840357C22116yescomplemented
56#16840355C22116yescomplemented
57#16840345C22116yescomplemented
58#16840344C22116yescomplemented
59#16840344C22116yescomplemented
60C2×#14519777C2211yescharacteristic, complemented
61C2×#14519776C2211yescharacteristic, complemented
62C2×#14519776C2211yescharacteristic, complemented
63C2×#14519773C2211yescharacteristic
64#16840292C22116yescomplemented
65#16840292C22116yescomplemented
66#16840289C22116yescomplemented
67C2×#14519772C2211yescharacteristic
68C2×#14519772C2211yescharacteristic
69C2×#14519772C2211yescharacteristic
70C2×#14519772C2211yescharacteristic
71C2×#14519772C2211yescharacteristic
72C2×#14519772C2211yescharacteristic
73C2×#14519772C2211yescharacteristic
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519771C2211yescharacteristic
76C2×#14519771C2211yescharacteristic
77C2×#14519770C2211yescharacteristic
78C2×#14519770C2211yescharacteristic
79C2×#14519770C2211yescharacteristic
80C2×#14519770C2211yescharacteristic
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519770C2211yescharacteristic, complemented
83C2×#14519770C2211yescharacteristic, complemented
84C2×#14519770C2211yescharacteristic, complemented
85C2×#14519769C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519768C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519767C2211yescharacteristic, complemented
93C2×#14519767C2211yescharacteristic, complemented
94C2×#14519767C2211yescharacteristic, complemented
95C2×#14519767C2211yescharacteristic, complemented
96C2×#14519765C2211yescharacteristic
97C2×#14519764C2211yescharacteristic
98C2×#14519764C2211yescharacteristic
99C2×#14519764C2211yescharacteristic, complemented
100C2×#14519763C2211yescharacteristic
101C2×#14519763C2211yescharacteristic
102C2×#14519763C2211yescharacteristic
103C2×#14519763C2211yescharacteristic
104C2×#14519763C2211yescharacteristic
105C2×#14519763C2211yescharacteristic
106C2×#14519763C2211yescharacteristic, complemented
107C2×#14519763C2211yescharacteristic, complemented
108C2×#14519762C2211yescharacteristic
109C2×#14519762C2211yescharacteristic
110C2×#14519762C2211yescharacteristic
111C2×#14519762C2211yescharacteristic
112C2×#14519761C2211yescharacteristic
113C2×#14519761C2211yescharacteristic
114C2×#14519761C2211yescharacteristic, complemented
115C2×#14519760C2211yescharacteristic
116C2×#14519760C2211yescharacteristic
117C2×#14519760C2211yescharacteristic
118C2×#14519760C2211yescharacteristic
119C2×#14519760C2211yescharacteristic
120C2×#14519760C2211yescharacteristic, complemented
121C2×#14519759C2211yescharacteristic
122C2×#14519759C2211yescharacteristic
123C2×#14519759C2211yescharacteristic
124C2×#14519759C2211yescharacteristic, complemented
125C2×#14519758C2211yescharacteristic
126C2×#14519758C2211yescharacteristic
127C2×#14519758C2211yescharacteristic
128C2×#14519758C2211yescharacteristic, complemented
129C2×#14519758C2211yescharacteristic, complemented
130C2×#14519757C2211yescharacteristic
131C2×#14519757C2211yescharacteristic
132C2×#14519756C2211yescharacteristic
133C2×#14519756C2211yescharacteristic, complemented
134C2×#14519756C2211yescharacteristic, complemented
135C2×#14519756C2211yescharacteristic, complemented
136C2×#14519755C2211yescharacteristic
137C2×#14519755C2211yescharacteristic
138C2×#14519755C2211yescharacteristic
139C2×#14519755C2211yescharacteristic
140C2×#14519755C2211yescharacteristic, complemented
141C2×#14519755C2211yescharacteristic, complemented
142C2×#14519754C2211yescharacteristic
143C2×#14519754C2211yescharacteristic
144C2×#14519754C2211yescharacteristic, complemented
145C2×#14519754C2211yescharacteristic, complemented
146C2×#14519754C2211yescharacteristic, complemented
147C2×#14519754C2211yescharacteristic, complemented
148C2×#14519751C2211yescharacteristic
149C2×#14519751C2211yescharacteristic
150C2×#14519750C2211yescharacteristic
151C2×#14519750C2211yescharacteristic
152C2×#14519749C2211yescharacteristic
153C2×#14519749C2211yescharacteristic
154C2×#14519749C2211yescharacteristic
155C2×#14519749C2211yescharacteristic
156C2×#14519749C2211yescharacteristic
157C2×#14519749C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic
159C2×#14519748C2211yescharacteristic
160C2×#14519748C2211yescharacteristic
161C2×#14519748C2211yescharacteristic, complemented
162C2×#14519747C2211yescharacteristic
163C2×#14519745C2211yescharacteristic
164C2×#14519745C2211yescharacteristic
165C2×#14519745C2211yescharacteristic
166C2×C4×Dic122C2211yescharacteristic, complemented
167C2×C4×Dic122C2211yescharacteristic, complemented
168C2×C4×Dic122C2211yescharacteristic, complemented
169C2×#14519742C2211yescharacteristic, complemented
170C2×#14519742C2211yescharacteristic, complemented
171C2×#14519742C2211yescharacteristic, complemented
172C2×C4×D244C2211yescharacteristic
173C2×D4×Dic61C2211yescharacteristic
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×#14519739C2211yescharacteristic
176C2×C4×C22⋊D61C2211yescharacteristic
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic
184C2×#14519737C2211yescharacteristic
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519736C2211yescharacteristic
187C2×#14519736C2211yescharacteristic, complemented
188C2×#14519736C2211yescharacteristic, complemented
189C2×#14519735C2211yescharacteristic
190C2×#14519735C2211yescharacteristic
191C2×#14519735C2211yescharacteristic, complemented
192C2×#14519734C2211yescharacteristic
193C2×#14519734C2211yescharacteristic
194C2×#14519734C2211yescharacteristic, complemented
195C2×#14519733C2211yescharacteristic
196C2×#14519733C2211yescharacteristic, complemented
197C22×#11758196C2211yescharacteristic, complemented
198C2×C4⋊C4×D61C2211yescharacteristic, complemented
199C22×#11758198C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C22×C4×Dic61C2211yescharacteristic, complemented
203C61×#553C22116yescomplemented
204C2×#126×C61C2211yescharacteristic
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#121×C61C2211yescharacteristic
210C2×#121×C61C2211yescharacteristic
211C2×#121×C61C2211yescharacteristic
212C2×#121×C61C2211yescharacteristic, complemented
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C2×#117×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C22×Dic122C2311yescharacteristic
221C22×Dic122C2311yescharacteristic
222C22×Dic122C2311yescharacteristic
223C22×Dic122C2311yescharacteristic
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×D244C2311yescharacteristic
227C22×D244C2311yescharacteristic
228C22×C22⋊D61C2311yescharacteristic
229C22×C22⋊D61C2311yescharacteristic
230C22×C22⋊D61C2311yescharacteristic
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C23×Dic61C2311yescharacteristic
239C23×Dic61C2311yescharacteristic
240C23×Dic61C2311yescharacteristic
241C23×Dic61C2311yescharacteristic
242C23×Dic61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246C22×C4×D61C2311yescharacteristic
247C22×C4×D61C2311yescharacteristic
248C22×C4×D61C2311yescharacteristic
249C22×C4×D61C2311yescharacteristic
250#14519777C2318yescomplemented
251#14519776C2318yescomplemented
252#14519776C2318yescomplemented
253#14519773C2318yes—
254#14519772C2318yes—
255#14519772C2318yes—
256#14519772C2318yes—
257#14519772C2318yes—
258#14519772C2318yes—
259#14519772C2318yes—
260#14519772C2318yes—
261#14519772C2318yescomplemented
262#14519771C2318yes—
263#14519771C2318yes—
264#14519770C2318yes—
265#14519770C2318yes—
266#14519770C2318yes—
267#14519770C2318yes—
268#14519770C2318yescomplemented
269#14519770C2318yescomplemented
270#14519770C2318yescomplemented
271#14519770C2318yescomplemented
272#14519769C2318yescomplemented
273#14519768C2318yescomplemented
274#14519768C2318yescomplemented
275#14519767C2318yescomplemented
276#14519767C2318yescomplemented
277#14519767C2318yescomplemented
278#14519767C2318yescomplemented
279#14519767C2318yescomplemented
280#14519767C2318yescomplemented
281#14519767C2318yescomplemented
282#14519767C2318yescomplemented
283#14519765C2318yes—
284#14519764C2318yes—
285#14519764C2318yes—
286#14519764C2318yescomplemented
287#14519763C2318yes—
288#14519763C2318yes—
289#14519763C2318yes—
290#14519763C2318yes—
291#14519763C2318yes—
292#14519763C2318yes—
293#14519763C2318yescomplemented
294#14519763C2318yescomplemented
295#14519762C2318yes—
296#14519762C2318yes—
297#14519762C2318yes—
298#14519762C2318yes—
299#14519761C2318yes—
300#14519761C2318yes—
301#14519761C2318yescomplemented
302#14519760C2318yes—
303#14519760C2318yes—
304#14519760C2318yes—
305#14519760C2318yes—
306#14519760C2318yes—
307#14519760C2318yescomplemented
308#14519759C2318yes—
309#14519759C2318yes—
310#14519759C2318yes—
311#14519759C2318yescomplemented
312#14519758C2318yes—
313#14519758C2318yes—
314#14519758C2318yes—
315#14519758C2318yescomplemented
316#14519758C2318yescomplemented
317#14519757C2318yes—
318#14519757C2318yes—
319#14519756C2318yes—
320#14519756C2318yescomplemented
321#14519756C2318yescomplemented
322#14519756C2318yescomplemented
323#14519755C2318yes—
324#14519755C2318yes—
325#14519755C2318yes—
326#14519755C2318yes—
327#14519755C2318yescomplemented
328#14519755C2318yescomplemented
329#14519754C2318yes—
330#14519754C2318yes—
331#14519754C2318yescomplemented
332#14519754C2318yescomplemented
333#14519754C2318yescomplemented
334#14519754C2318yescomplemented
335#14519751C2318yes—
336#14519751C2318yes—
337#14519750C2318yes—
338#14519750C2318yes—
339#14519749C2318yes—
340#14519749C2318yes—
341#14519749C2318yes—
342#14519749C2318yes—
343#14519749C2318yes—
344#14519749C2318yescomplemented
345#14519748C2318yes—
346#14519748C2318yes—
347#14519748C2318yes—
348#14519748C2318yescomplemented
349#14519747C2318yes—
350#14519745C2318yes—
351#14519745C2318yes—
352#14519745C2318yes—
353C4×Dic122C2318yescomplemented
354C4×Dic122C2318yescomplemented
355C4×Dic122C2318yescomplemented
356#14519742C2318yescomplemented
357#14519742C2318yescomplemented
358#14519742C2318yescomplemented
359C4×D244C2318yes—
360D4×Dic61C2318yes—
361D4×Dic61C2318yescomplemented
362#14519739C2318yes—
363C4×C22⋊D61C2318yes—
364C4×C22⋊D61C2318yes—
365C4×C22⋊D61C2318yes—
366C4×C22⋊D61C2318yes—
367C4×C22⋊D61C2318yescomplemented
368C4×C22⋊D61C2318yescomplemented
369#14519737C2318yes—
370#14519737C2318yes—
371#14519737C2318yes—
372#14519737C2318yescomplemented
373#14519736C2318yes—
374#14519736C2318yescomplemented
375#14519736C2318yescomplemented
376#14519735C2318yes—
377#14519735C2318yes—
378#14519735C2318yescomplemented
379#14519734C2318yes—
380#14519734C2318yes—
381#14519734C2318yescomplemented
382#14519733C2318yes—
383#14519733C2318yescomplemented
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×#11758196C2311yescharacteristic
397C2×#11758196C2311yescharacteristic
398C2×#11758196C2311yescharacteristic
399C2×#11758196C2311yescharacteristic
400C2×#11758196C2311yescharacteristic
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×#11758196C2318yescomplemented
423C4⋊C4×D61C2318yescomplemented
424C2×C22⋊Dic61C2311yescharacteristic
425C2×C22⋊Dic61C2311yescharacteristic
426C2×C22⋊Dic61C2311yescharacteristic
427C2×C22⋊Dic61C2311yescharacteristic
428C2×C22⋊Dic61C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2318yes—
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×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C22⋊C4×D61C2318yes—
464C22⋊C4×D61C2318yes—
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
478C2×C4×Dic61C2318yescomplemented
479C22×D4×C61C2311yescharacteristic
480C22×D4×C61C2311yescharacteristic
481C22×D4×C61C2311yescharacteristic
482C22×D4×C61C2311yescharacteristic
483C22×D4×C61C2311yescharacteristic
484C22×D4×C61C2311yescharacteristic
485C23×C4×C61C2311yescharacteristic
486C23×C4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491#126×C61C2318yes—
492#126×C61C2318yescomplemented
493#125×C61C2318yescomplemented
494#123×C61C2318yes—
495#123×C61C2318yescomplemented
496#121×C61C2318yes—
497#121×C61C2318yes—
498#121×C61C2318yes—
499#121×C61C2318yescomplemented
500C4×D4×C61C2318yes—
501C4×D4×C61C2318yes—
502C4×D4×C61C2318yescomplemented
503C4×D4×C61C2318yescomplemented
504#117×C61C2318yescomplemented
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×C61C2318yescomplemented
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
531C24×C61C2411yescharacteristic
532C24×C61C2411yescharacteristic
533C23×D61—42no—
534C23×D61—42no—
535C23×D61—42no—
536C23×D61C2411yescharacteristic
537C23×D61C2411yescharacteristic
538C23×D61C2411yescharacteristic
539C23×D61C2414yes—
540C2×D4×C61—42no—
541C2×D4×C61—42no—
542C2×D4×C61—42no—
543C2×D4×C61—42no—
544C2×D4×C61—42no—
545C2×D4×C61—42no—
546C2×D4×C61C2414yes—
547C2×D4×C61C2414yes—
548C2×D4×C61C2414yes—
549C2×D4×C61C2414yes—
550C2×D4×C61C2414yes—
551C2×D4×C61C2414yes—
552C22×C4×C61—42no—
553C22×C4×C61—42no—
554C22×C4×C61—42no—
555C22×C4×C61—42no—
556C22×C4×C61—42no—
557C22×C4×C61—42no—
558C22×C4×C61C2411yescharacteristic
559C22×C4×C61C2411yescharacteristic
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2414yes—
570C22×C4×C61C2414yes—
571C22×C4×C61C2414yes—
572C22×C4×C61C2414yes—
573C22×C4×C61C2414yes—
574C22×C4×C61C2414yes—
575C2×C22⋊D61—42no—
576C2×C22⋊D61—42no—
577C2×C22⋊D61—42no—
578C2×C22⋊D61—42no—
579C2×C22⋊D61—42no—
580C2×C22⋊D61—42no—
581C2×C22⋊D61—42no—
582C2×C22⋊D61—42no—
583C2×C22⋊D61—42no—
584C2×C22⋊D61—42no—
585C2×C22⋊D61C2414yes—
586C2×C22⋊D61C2414yes—
587C2×C22⋊D61C2414yes—
588C2×C22⋊D61C2414yes—
589C2×C22⋊D61C2414yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C2×C22⋊D61C2414yes—
594C2×C22⋊D61C2414yes—
595C22×Dic61—42no—
596C22×Dic61—42no—
597C22×Dic61—42no—
598C22×Dic61—42no—
599C22×Dic61—42no—
600C22×Dic61C2411yescharacteristic
601C22×Dic61C2411yescharacteristic
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2411yescharacteristic
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2411yescharacteristic
608C22×Dic61C2411yescharacteristic
609C22×Dic61C2411yescharacteristic
610C22×Dic61C2411yescharacteristic
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2411yescharacteristic
613C22×Dic61C2414yes—
614C22×Dic61C2414yes—
615C22×Dic61C2414yes—
616C22×Dic61C2414yes—
617C22×Dic61C2414yes—
618C2×D244—42no—
619C2×D244—42no—
620C2×D244C2414yes—
621C2×D244C2414yes—
622C2×C4×D61—42no—
623C2×C4×D61—42no—
624C2×C4×D61—42no—
625C2×C4×D61—42no—
626C2×C4×D61—42no—
627C2×C4×D61—42no—
628C2×C4×D61—42no—
629C2×C4×D61C2414yes—
630C2×C4×D61C2414yes—
631C2×C4×D61C2414yes—
632C2×C4×D61C2414yes—
633C2×C4×D61C2414yes—
634C2×C4×D61C2414yes—
635C2×C4×D61C2414yes—
636C2×Dic122—42no—
637C2×Dic122—42no—
638C2×Dic122—42no—
639C2×Dic122—42no—
640C2×Dic122—42no—
641C2×Dic122—42no—
642C2×Dic122C2414yes—
643C2×Dic122C2414yes—
644C2×Dic122C2414yes—
645C2×Dic122C2414yes—
646C2×Dic122C2414yes—
647C2×Dic122C2414yes—
648C4⋊C4×C61C2414yes—
649C4⋊C4×C61C2414yes—
650C4⋊C4×C61C2414yes—
651C4⋊C4×C61C2414yes—
652C4⋊C4×C61C2414yes—
653C4⋊C4×C61C2414yes—
654C4⋊C4×C61C2414yes—
655C4⋊C4×C61C2414yes—
656C4⋊C4×C61C2414yes—
657C4⋊C4×C61C2414yes—
658C22⋊C4×C61C2414yes—
659C22⋊C4×C61C2414yes—
660C22⋊C4×C61C2414yes—
661C22⋊C4×C61C2414yes—
662C22⋊C4×C61C2414yes—
663C22⋊C4×C61C2414yes—
664C22⋊C4×C61C2414yes—
665C22⋊C4×C61C2414yes—
666C22⋊C4×C61C2414yes—
667C22⋊C4×C61C2414yes—
668C42×C61C2414yes—
669C42×C61C2414yes—
670C42×C61C2414yes—
671C22⋊Dic61C2414yes—
672C22⋊Dic61C2414yes—
673C22⋊Dic61C2414yes—
674C22⋊Dic61C2414yes—
675C22⋊Dic61C2414yes—
676C22⋊Dic61C2414yes—
677C22⋊Dic61C2414yes—
678C22⋊Dic61C2414yes—
679C22⋊Dic61C2414yes—
680C22⋊Dic61C2414yes—
681C22⋊Dic61C2414yes—
682C22⋊Dic61C2414yes—
683C22⋊Dic61C2414yes—
684C22⋊Dic61C2414yes—
685C22⋊Dic61C2414yes—
686C22⋊Dic61C2414yes—
687#11758198C2414yes—
688#11758198C2414yes—
689#11758198C2414yes—
690#11758198C2414yes—
691#11758198C2414yes—
692#11758198C2414yes—
693#11758198C2414yes—
694#11758198C2414yes—
695#11758198C2414yes—
696#11758198C2414yes—
697#11758198C2414yes—
698#11758198C2414yes—
699#11758198C2414yes—
700#11758198C2414yes—
701#11758198C2414yes—
702#11758198C2414yes—
703#11758198C2414yes—
704#11758198C2414yes—
705#11758198C2414yes—
706#11758198C2414yes—
707#11758198C2414yes—
708#11758198C2414yes—
709C4⋊Dic61C2414yes—
710C4⋊Dic61C2414yes—
711C4⋊Dic61C2414yes—
712C4⋊Dic61C2414yes—
713C4⋊Dic61C2414yes—
714C4⋊Dic61C2414yes—
715C4⋊Dic61C2414yes—
716C4⋊Dic61C2414yes—
717C4⋊Dic61C2414yes—
718C4⋊Dic61C2414yes—
719C4⋊Dic61C2414yes—
720C4⋊Dic61C2414yes—
721#11758196C2414yes—
722#11758196C2414yes—
723#11758196C2414yes—
724#11758196C2414yes—
725#11758196C2414yes—
726#11758196C2414yes—
727#11758196C2414yes—
728#11758196C2414yes—
729#11758196C2414yes—
730#11758196C2414yes—
731#11758196C2414yes—
732#11758196C2414yes—
733#11758196C2414yes—
734#11758196C2414yes—
735#11758196C2414yes—
736#11758196C2414yes—
737#11758196C2414yes—
738#11758196C2414yes—
739#11758196C2414yes—
740#11758196C2414yes—
741#11758196C2414yes—
742#11758196C2414yes—
743#11758196C2414yes—
744#11758196C2414yes—
745#11758196C2414yes—
746#11758196C2414yes—
747C4×Dic61C2414yes—
748C4×Dic61C2414yes—
749C4×Dic61C2414yes—
750C4×Dic61C2414yes—
751C4×Dic61C2414yes—
752C4×Dic61C2414yes—
753C4×Dic61C2414yes—
754C4×Dic61C2414yes—
755C4×Dic61C2414yes—
756C4×Dic61C2414yes—
757C4×Dic61C2414yes—
758C4×Dic61C2414yes—
759C4×Dic61C2414yes—
760C23×C61—22no—
761C23×C61—22no—
762C23×C61—22no—
763C23×C61—22no—
764C23×C61—22no—
765C23×C61—22no—
766C23×C61—22no—
767C23×C61—22no—
768C23×C61—22no—
769C23×C61—22no—
770C23×C61—22no—
771C23×C61—22no—
772C23×C61C2512yes—
773C23×C61C2512yes—
774C23×C61C2512yes—
775C23×C61C2512yes—
776C23×C61C2511yescharacteristic
777C22×D61—22no—
778C22×D61—22no—
779C22×D61—22no—
780C22×D61—22no—
781C22×D61—22no—
782C22×D61—22no—
783C22×D61—22no—
784C22×D61—22no—
785C22×D61—22no—
786C22×D61—44no—
787C22×D61—44no—
788C22×D61—44no—
789C22×D61—88no—
790C22×D61C2512yes—
791C22×D61C2512yes—
792C22×D61C2512yes—
793D4×C61—44no—
794D4×C61—44no—
795D4×C61—44no—
796D4×C61—44no—
797D4×C61—44no—
798D4×C61—44no—
799C2×C4×C61—22no—
800C2×C4×C61—22no—
801C2×C4×C61—22no—
802C2×C4×C61—22no—
803C2×C4×C61—22no—
804C2×C4×C61—22no—
805C2×C4×C61—22no—
806C2×C4×C61—22no—
807C2×C4×C61—22no—
808C2×C4×C61—22no—
809C2×C4×C61—22no—
810C2×C4×C61—44no—
811C2×C4×C61—44no—
812C2×C4×C61—44no—
813C2×C4×C61—44no—
814C2×C4×C61—44no—
815C2×C4×C61—44no—
816C2×C4×C61C2512yes—
817C2×C4×C61C2512yes—
818C2×C4×C61C2512yes—
819C2×C4×C61C2512yes—
820C2×C4×C61C2512yes—
821C2×C4×C61C2512yes—
822C2×C4×C61C2512yes—
823C2×C4×C61C2512yes—
824C2×C4×C61C2512yes—
825C2×C4×C61C2512yes—
826C2×C4×C61C2512yes—
827C22⋊D61—44no—
828C22⋊D61—44no—
829C22⋊D61—44no—
830C22⋊D61—44no—
831C22⋊D61—44no—
832C22⋊D61—44no—
833C22⋊D61—44no—
834C22⋊D61—44no—
835C22⋊D61—44no—
836C22⋊D61—44no—
837C2×Dic61—22no—
838C2×Dic61—22no—
839C2×Dic61—22no—
840C2×Dic61—22no—
841C2×Dic61—22no—
842C2×Dic61—22no—
843C2×Dic61—22no—
844C2×Dic61—22no—
845C2×Dic61—22no—
846C2×Dic61—22no—
847C2×Dic61—22no—
848C2×Dic61—22no—
849C2×Dic61—22no—
850C2×Dic61—44no—
851C2×Dic61—44no—
852C2×Dic61—44no—
853C2×Dic61—44no—
854C2×Dic61—44no—
855C2×Dic61C2512yes—
856C2×Dic61C2512yes—
857C2×Dic61C2512yes—
858C2×Dic61C2512yes—
859C2×Dic61C2512yes—
860C2×Dic61C2512yes—
861C2×Dic61C2512yes—
862C2×Dic61C2512yes—
863C2×Dic61C2512yes—
864C2×Dic61C2512yes—
865C2×Dic61C2512yes—
866C2×Dic61C2512yes—
867C2×Dic61C2512yes—
868D244—44no—
869D244—44no—
870C4×D61—44no—
871C4×D61—44no—
872C4×D61—44no—
873C4×D61—44no—
874C4×D61—44no—
875C4×D61—44no—
876C4×D61—44no—
877Dic122—44no—
878Dic122—44no—
879Dic122—44no—
880Dic122—44no—
881Dic122—44no—
882Dic122—44no—
883C2×#3566—611nomaximal, Sylow
884C22×C61—22no—
885C22×C61—22no—
886C22×C61—22no—
887C22×C61—22no—
888C22×C61—22no—
889C22×C61—22no—
890C22×C61—22no—
891C22×C61—22no—
892C22×C61—22no—
893C22×C61—22no—
894C22×C61—22no—
895C22×C61—22no—
896C22×C61—44no—
897C22×C61—44no—
898C22×C61—44no—
899C22×C61—44no—
900C22×C61#58512yes—
901C22×C61#58512yes—
902C22×C61#58512yes—
903C22×C61C2611yescharacteristic
904C2×D61—22no—
905C2×D61—22no—
906C2×D61—22no—
907C2×D61—22no—
908C2×D61—22no—
909C2×D61—22no—
910C2×D61—22no—
911C2×D61—22no—
912C2×D61—22no—
913C2×D61—44no—
914C2×D61—44no—
915C2×D61—44no—
916C2×D61—88no—
917C4×C61—22no—
918C4×C61—22no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—22no—
922C4×C61—22no—
923C4×C61—22no—
924C4×C61—22no—
925C4×C61—22no—
926C4×C61—22no—
927C4×C61—22no—
928Dic61—22no—
929Dic61—22no—
930Dic61—22no—
931Dic61—22no—
932Dic61—22no—
933Dic61—22no—
934Dic61—22no—
935Dic61—22no—
936Dic61—22no—
937Dic61—22no—
938Dic61—22no—
939Dic61—22no—
940Dic61—22no—
941#3566—6132no—
942C2×#563—611no—
943C2×#562—611no—
944C2×#562—611no—
945C2×#560—611no—
946C2×#559—611no—
947C2×#556—611no—
948C2×#555—611no—
949C2×#553—611no—
950C2×#553—611no—
951C2×#553D6111yescharacteristic, complemented
952C2×#552—611no—
953C2×#552—611no—
954C2×#552—611no—
955C2×#551—611no—
956C2×#551—611no—
957C2×#551—611no—
958C2×#542—611no—
959C2×#542—611no—
960C2×#542—611no—
961C2×#541—611no—
962C2×#541—611no—
963C2×#540—611no—
964C2×#539—611no—
965C2×#539—611no—
966C2×#539—611no—
967C2×#538—611no—
968C2×#538—611no—
969C2×#538—611no—
970C2×#529—611no—
971C2×#529—611no—
972C2×#529—611no—
973C2×C61—42no—
974C2×C61—42no—
975C2×C61—42no—
976C2×C61—42no—
977C2×C61#356614yescomplemented
978C2×C61C2×#58511yescharacteristic
979C2×C61C2×#58511yescharacteristic
980C2×C61C2×#58511yescharacteristic
981D61—42no—
982D61—42no—
983D61—42no—
984#563—6116no—
985#562—6116no—
986#562—6116no—
987#560—6116no—
988#559—6116no—
989#556—6116no—
990#555—6116no—
991#553—6116no—
992#553—6116no—
993#553C2×D61116yescomplemented
994#552—6116no—
995#552—6116no—
996#552—6116no—
997#551—6116no—
998#551—6116no—
999#551—6116no—
1000#542—6116no—
1001#542—6116no—
1002#542—6116no—
1003#541—6116no—
1004#541—6116no—
1005#540—6116no—
1006#539—6116no—
1007#539—6116no—
1008#539—6116no—
1009#538—6116no—
1010#538—6116no—
1011#538—6116no—
1012C2×C4⋊Q8—611no—
1013C2×C4⋊Q8—611no—
1014C2×C4⋊Q8—611no—
1015C2×#127—611no—
1016#529—6116no—
1017#529—6116no—
1018#529—6116no—
1019C2×#126—611no—
1020C2×#126—611no—
1021C2×#126—611no—
1022C2×#126—611no—
1023C2×#126—611no—
1024C2×#126—611no—
1025C2×#126—611no—
1026C2×#126—611no—
1027C2×#126—611no—
1028C2×#126—611no—
1029C2×#126—611no—
1030C2×#126—611no—
1031C2×#126—611no—
1032C2×#126—611no—
1033C2×#126—611no—
1034C2×#126—611no—
1035C2×#126—611no—
1036C2×#126—611no—
1037C2×#126C2×D6111yescharacteristic
1038C2×#126C2×D6111yescharacteristic, complemented
1039C2×#125—611no—
1040C2×#125—611no—
1041C2×#125—611no—
1042C2×#125—611no—
1043C2×#125—611no—
1044C2×#125—611no—
1045C2×#125—611no—
1046C2×#125—611no—
1047C2×#125—611no—
1048C2×#125—611no—
1049C2×#125—611no—
1050C2×#125C2×D6111yescharacteristic, complemented
1051C2×#124—611no—
1052C2×#124—611no—
1053C2×#124—611no—
1054C2×#124—611no—
1055C2×#124—611no—
1056C2×#124—611no—
1057C2×#124—611no—
1058C2×#124—611no—
1059C2×#124—611no—
1060C2×#124—611no—
1061C2×#124—611no—
1062C2×#124—611no—
1063C2×#123—611no—
1064C2×#123—611no—
1065C2×#123—611no—
1066C2×#123—611no—
1067C2×#123—611no—
1068C2×#123—611no—
1069C2×#123—611no—
1070C2×#123—611no—
1071C2×#123—611no—
1072C2×#123—611no—
1073C2×#123—611no—
1074C2×#123—611no—
1075C2×#123—611no—
1076C2×#123—611no—
1077C2×#123—611no—
1078C2×#123—611no—
1079C2×#123—611no—
1080C2×#123—611no—
1081C2×#123—611no—
1082C2×#123—611no—
1083C2×#123—611no—
1084C2×#123—611no—
1085C2×#123C2×D6111yescharacteristic
1086C2×#123C2×D6111yescharacteristic, complemented
1087C2×C22⋊Q8—611no—
1088C2×C22⋊Q8—611no—
1089C2×C22⋊Q8—611no—
1090C2×C22⋊Q8—611no—
1091C2×C22⋊Q8—611no—
1092C2×C22⋊Q8—611no—
1093C2×C22⋊Q8—611no—
1094C2×C22⋊Q8—611no—
1095C2×C22⋊Q8—611no—
1096C2×C22⋊Q8—611no—
1097C2×C22⋊Q8—611no—
1098C2×C22⋊Q8—611no—
1099C2×C22⋊Q8—611no—
1100C2×C22⋊Q8—611no—
1101C2×C22⋊Q8—611no—
1102C2×C22⋊Q8—611no—
1103C2×C22⋊Q8—611no—
1104C2×C22⋊Q8—611no—
1105C2×#121—611no—
1106C2×#121—611no—
1107C2×#121—611no—
1108C2×#121—611no—
1109C2×#121—611no—
1110C2×#121—611no—
1111C2×#121—611no—
1112C2×#121—611no—
1113C2×#121—611no—
1114C2×#121—611no—
1115C2×#121—611no—
1116C2×#121—611no—
1117C2×#121—611no—
1118C2×#121—611no—
1119C2×#121C2×D6111yescharacteristic
1120C2×#121C2×D6111yescharacteristic
1121C2×#121C2×D6111yescharacteristic
1122C2×#121C2×D6111yescharacteristic, complemented
1123C2×#120—611no—
1124C2×#120—611no—
1125C2×#120—611no—
1126C2×#120—611no—
1127C2×C4×Q8—611no—
1128C2×C4×Q8—611no—
1129C2×C4×Q8—611no—
1130C2×C4×Q8—611no—
1131C2×C4×Q8—611no—
1132C2×C4×Q8—611no—
1133C2×C4×D4—611no—
1134C2×C4×D4—611no—
1135C2×C4×D4—611no—
1136C2×C4×D4—611no—
1137C2×C4×D4—611no—
1138C2×C4×D4—611no—
1139C2×C4×D4—611no—
1140C2×C4×D4—611no—
1141C2×C4×D4—611no—
1142C2×C4×D4—611no—
1143C2×C4×D4—611no—
1144C2×C4×D4—611no—
1145C2×C4×D4—611no—
1146C2×C4×D4—611no—
1147C2×C4×D4C2×D6111yescharacteristic
1148C2×C4×D4C2×D6111yescharacteristic
1149C2×C4×D4C2×D6111yescharacteristic, complemented
1150C2×C4×D4C2×D6111yescharacteristic, complemented
1151C2×#117—611no—
1152C2×#117—611no—
1153C2×#117—611no—
1154C2×#117—611no—
1155C2×#117—611no—
1156C2×#117—611no—
1157C2×#117—611no—
1158C2×#117—611no—
1159C2×#117—611no—
1160C2×#117—611no—
1161C2×#117—611no—
1162C2×#117C2×D6111yescharacteristic, complemented
1163C22×C4⋊C4—611no—
1164C22×C4⋊C4—611no—
1165C22×C4⋊C4C2×D6111yescharacteristic, complemented
1166C22×C22⋊C4—611no—
1167C22×C22⋊C4—611no—
1168C22×C22⋊C4—611no—
1169C22×C42—611no—
1170C61C2×#356611yescharacteristic, complemented, Sylow
1171C25—611no—
1172C22×Q8—611no—
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×Q8—611no—
1176C22×Q8—611no—
1177C22×Q8—611no—
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4C22×D6111yescharacteristic
1191C22×D4C22×D6111yescharacteristic
1192C22×D4C22×D6111yescharacteristic
1193C22×D4C22×D6111yescharacteristic
1194C22×D4C22×D6111yescharacteristic
1195C22×D4C22×D6111yescharacteristic
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—611no—
1201C23×C4—611no—
1202C23×C4—611no—
1203C23×C4—611no—
1204C23×C4—611no—
1205C23×C4—611no—
1206C23×C4—611no—
1207C23×C4—611no—
1208C23×C4C22×D6111yescharacteristic
1209C23×C4C22×D6111yescharacteristic
1210C23×C4C22×D6111yescharacteristic
1211C23×C4C22×D6111yescharacteristic
1212C23×C4C22×D6111yescharacteristic
1213C23×C4C22×D6111yescharacteristic
1214C4⋊Q8—618no—
1215C4⋊Q8—618no—
1216C4⋊Q8—618no—
1217#127—618no—
1218#126—618no—
1219#126—618no—
1220#126—618no—
1221#126—618no—
1222#126—618no—
1223#126—618no—
1224#126—618no—
1225#126—618no—
1226#126—618no—
1227#126—618no—
1228#126—618no—
1229#126—618no—
1230#126—618no—
1231#126—618no—
1232#126—618no—
1233#126—618no—
1234#126—618no—
1235#126—618no—
1236#126C22×D6118yes—
1237#126C22×D6118yescomplemented
1238#125—618no—
1239#125—618no—
1240#125—618no—
1241#125—618no—
1242#125—618no—
1243#125—618no—
1244#125—618no—
1245#125—618no—
1246#125—618no—
1247#125—618no—
1248#125—618no—
1249#125C22×D6118yescomplemented
1250#124—618no—
1251#124—618no—
1252#124—618no—
1253#124—618no—
1254#124—618no—
1255#124—618no—
1256#124—618no—
1257#124—618no—
1258#124—618no—
1259#124—618no—
1260#124—618no—
1261#124—618no—
1262#123—618no—
1263#123—618no—
1264#123—618no—
1265#123—618no—
1266#123—618no—
1267#123—618no—
1268#123—618no—
1269#123—618no—
1270#123—618no—
1271#123—618no—
1272#123—618no—
1273#123—618no—
1274#123—618no—
1275#123—618no—
1276#123—618no—
1277#123—618no—
1278#123—618no—
1279#123—618no—
1280#123—618no—
1281#123—618no—
1282#123—618no—
1283#123—618no—
1284#123C22×D6118yes—
1285#123C22×D6118yescomplemented
1286C22⋊Q8—618no—
1287C22⋊Q8—618no—
1288C22⋊Q8—618no—
1289C22⋊Q8—618no—
1290C22⋊Q8—618no—
1291C22⋊Q8—618no—
1292C22⋊Q8—618no—
1293C22⋊Q8—618no—
1294C22⋊Q8—618no—
1295C22⋊Q8—618no—
1296C22⋊Q8—618no—
1297C22⋊Q8—618no—
1298C22⋊Q8—618no—
1299C22⋊Q8—618no—
1300C22⋊Q8—618no—
1301C22⋊Q8—618no—
1302C22⋊Q8—618no—
1303C22⋊Q8—618no—
1304#121—618no—
1305#121—618no—
1306#121—618no—
1307#121—618no—
1308#121—618no—
1309#121—618no—
1310#121—618no—
1311#121—618no—
1312#121—618no—
1313#121—618no—
1314#121—618no—
1315#121—618no—
1316#121—618no—
1317#121—618no—
1318#121C22×D6118yes—
1319#121C22×D6118yes—
1320#121C22×D6118yes—
1321#121C22×D6118yescomplemented
1322#120—618no—
1323#120—618no—
1324#120—618no—
1325#120—618no—
1326C4×Q8—618no—
1327C4×Q8—618no—
1328C4×Q8—618no—
1329C4×Q8—618no—
1330C4×Q8—618no—
1331C4×Q8—618no—
1332C4×D4—618no—
1333C4×D4—618no—
1334C4×D4—618no—
1335C4×D4—618no—
1336C4×D4—618no—
1337C4×D4—618no—
1338C4×D4—618no—
1339C4×D4—618no—
1340C4×D4—618no—
1341C4×D4—618no—
1342C4×D4—618no—
1343C4×D4—618no—
1344C4×D4—618no—
1345C4×D4—618no—
1346C4×D4C22×D6118yes—
1347C4×D4C22×D6118yes—
1348C4×D4C22×D6118yescomplemented
1349C4×D4C22×D6118yescomplemented
1350#117—618no—
1351#117—618no—
1352#117—618no—
1353#117—618no—
1354#117—618no—
1355#117—618no—
1356#117—618no—
1357#117—618no—
1358#117—618no—
1359#117—618no—
1360#117—618no—
1361#117C22×D6118yescomplemented
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—611no—
1369C2×C4⋊C4—618no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4—611no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—611no—
1391C2×C4⋊C4—611no—
1392C2×C4⋊C4—611no—
1393C2×C4⋊C4—611no—
1394C2×C4⋊C4—611no—
1395C2×C4⋊C4—611no—
1396C2×C4⋊C4—611no—
1397C2×C4⋊C4—611no—
1398C2×C4⋊C4—611no—
1399C2×C4⋊C4—611no—
1400C2×C4⋊C4—611no—
1401C2×C4⋊C4—618no—
1402C2×C4⋊C4C22×D6111yescharacteristic
1403C2×C4⋊C4C22×D6111yescharacteristic
1404C2×C4⋊C4C22×D6111yescharacteristic
1405C2×C4⋊C4C22×D6111yescharacteristic
1406C2×C4⋊C4C22×D6111yescharacteristic
1407C2×C4⋊C4C22×D6111yescharacteristic
1408C2×C4⋊C4C22×D6111yescharacteristic
1409C2×C4⋊C4C22×D6111yescharacteristic
1410C2×C4⋊C4C22×D6111yescharacteristic
1411C2×C4⋊C4C22×D6111yescharacteristic
1412C2×C4⋊C4C22×D6118yescomplemented
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—611no—
1416C2×C22⋊C4—611no—
1417C2×C22⋊C4—611no—
1418C2×C22⋊C4—611no—
1419C2×C22⋊C4—611no—
1420C2×C22⋊C4—611no—
1421C2×C22⋊C4—611no—
1422C2×C22⋊C4—611no—
1423C2×C22⋊C4—611no—
1424C2×C22⋊C4—611no—
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—611no—
1430C2×C22⋊C4—611no—
1431C2×C22⋊C4—611no—
1432C2×C22⋊C4—611no—
1433C2×C22⋊C4—611no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—618no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—611no—
1446C2×C22⋊C4—611no—
1447C2×C22⋊C4—611no—
1448C2×C22⋊C4—611no—
1449C2×C22⋊C4—611no—
1450C2×C22⋊C4—611no—
1451C2×C22⋊C4—611no—
1452C2×C22⋊C4—618no—
1453C2×C22⋊C4—618no—
1454C2×C22⋊C4C22×D6111yescharacteristic
1455C2×C22⋊C4C22×D6111yescharacteristic
1456C2×C22⋊C4C22×D6111yescharacteristic
1457C2×C22⋊C4C22×D6111yescharacteristic
1458C2×C22⋊C4C22×D6111yescharacteristic
1459C2×C22⋊C4C22×D6111yescharacteristic
1460C2×C22⋊C4C22×D6111yescharacteristic
1461C2×C22⋊C4C22×D6111yescharacteristic
1462C2×C22⋊C4C22×D6111yescharacteristic
1463C2×C22⋊C4C22×D6111yescharacteristic
1464C2×C42—611no—
1465C2×C42—611no—
1466C2×C42—611no—
1467C2×C42—611no—
1468C2×C42—611no—
1469C2×C42—611no—
1470C2×C42—611no—
1471C2×C42—611no—
1472C2×C42—611no—
1473C2×C42—611no—
1474C2×C42—611no—
1475C2×C42—611no—
1476C2×C42—611no—
1477C2×C42—618no—
1478C2×C42C22×D6111yescharacteristic
1479C2×C42C22×D6111yescharacteristic
1480C2×C42C22×D6111yescharacteristic
1481C24—611no—
1482C24—611no—
1483C24—611no—
1484C24—614no—
1485C24—2442no—
1486C24—2442no—
1487C24—2442no—
1488C24C23×D6111yescharacteristic
1489C24C23×D6111yescharacteristic
1490C24C23×D6111yescharacteristic
1491C24C23×D6111yescharacteristic
1492C2×Q8—614no—
1493C2×Q8—614no—
1494C2×Q8—614no—
1495C2×Q8—614no—
1496C2×Q8—614no—
1497C2×Q8—614no—
1498C2×Q8—2442no—
1499C2×Q8—2442no—
1500C2×Q8—2442no—
1501C2×Q8—2442no—
1502C2×Q8—2442no—
1503C2×Q8—2442no—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—614no—
1511C2×D4—614no—
1512C2×D4—614no—
1513C2×D4—614no—
1514C2×D4—614no—
1515C2×D4—614no—
1516C2×D4—614no—
1517C2×D4—614no—
1518C2×D4—614no—
1519C2×D4—614no—
1520C2×D4—614no—
1521C2×D4—614no—
1522C2×D4—2442no—
1523C2×D4—2442no—
1524C2×D4—2442no—
1525C2×D4—2442no—
1526C2×D4—2442no—
1527C2×D4—2442no—
1528C2×D4—2442no—
1529C2×D4—2442no—
1530C2×D4—2442no—
1531C2×D4—2442no—
1532C2×D4—2442no—
1533C2×D4—2442no—
1534C2×D4C23×D6114yes—
1535C2×D4C23×D6114yes—
1536C2×D4C23×D6114yes—
1537C2×D4C23×D6114yes—
1538C2×D4C23×D6114yes—
1539C2×D4C23×D6114yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—611no—
1547C22×C4—611no—
1548C22×C4—611no—
1549C22×C4—611no—
1550C22×C4—611no—
1551C22×C4—611no—
1552C22×C4—611no—
1553C22×C4—611no—
1554C22×C4—611no—
1555C22×C4—611no—
1556C22×C4—611no—
1557C22×C4—611no—
1558C22×C4—611no—
1559C22×C4—614no—
1560C22×C4—614no—
1561C22×C4—614no—
1562C22×C4—614no—
1563C22×C4—614no—
1564C22×C4—614no—
1565C22×C4—614no—
1566C22×C4—614no—
1567C22×C4—614no—
1568C22×C4—614no—
1569C22×C4—614no—
1570C22×C4—614no—
1571C22×C4—2442no—
1572C22×C4—2442no—
1573C22×C4—2442no—
1574C22×C4—2442no—
1575C22×C4—2442no—
1576C22×C4—2442no—
1577C22×C4—2442no—
1578C22×C4—2442no—
1579C22×C4—2442no—
1580C22×C4—2442no—
1581C22×C4—2442no—
1582C22×C4—2442no—
1583C22×C4C23×D6111yescharacteristic
1584C22×C4C23×D6111yescharacteristic
1585C22×C4C23×D6111yescharacteristic
1586C22×C4C23×D6111yescharacteristic
1587C22×C4C23×D6111yescharacteristic
1588C22×C4C23×D6111yescharacteristic
1589C22×C4C23×D6111yescharacteristic
1590C22×C4C23×D6111yescharacteristic
1591C22×C4C23×D6111yescharacteristic
1592C22×C4C23×D6111yescharacteristic
1593C22×C4C23×D6111yescharacteristic
1594C22×C4C23×D6114yes—
1595C22×C4C23×D6114yes—
1596C22×C4C23×D6114yes—
1597C22×C4C23×D6114yes—
1598C22×C4C23×D6114yes—
1599C22×C4C23×D6114yes—
1600C4⋊C4—614no—
1601C4⋊C4—614no—
1602C4⋊C4—614no—
1603C4⋊C4—614no—
1604C4⋊C4—614no—
1605C4⋊C4—614no—
1606C4⋊C4—614no—
1607C4⋊C4—614no—
1608C4⋊C4—614no—
1609C4⋊C4—614no—
1610C4⋊C4—614no—
1611C4⋊C4—614no—
1612C4⋊C4—614no—
1613C4⋊C4—614no—
1614C4⋊C4—614no—
1615C4⋊C4—614no—
1616C4⋊C4—614no—
1617C4⋊C4—614no—
1618C4⋊C4—614no—
1619C4⋊C4—614no—
1620C4⋊C4—614no—
1621C4⋊C4—614no—
1622C4⋊C4—614no—
1623C4⋊C4—614no—
1624C4⋊C4—614no—
1625C4⋊C4—614no—
1626C4⋊C4—614no—
1627C4⋊C4—614no—
1628C4⋊C4—614no—
1629C4⋊C4—614no—
1630C4⋊C4—614no—
1631C4⋊C4—614no—
1632C4⋊C4—614no—
1633C4⋊C4—614no—
1634C4⋊C4—614no—
1635C4⋊C4—614no—
1636C4⋊C4—614no—
1637C4⋊C4—614no—
1638C4⋊C4C23×D6114yes—
1639C4⋊C4C23×D6114yes—
1640C4⋊C4C23×D6114yes—
1641C4⋊C4C23×D6114yes—
1642C4⋊C4C23×D6114yes—
1643C4⋊C4C23×D6114yes—
1644C4⋊C4C23×D6114yes—
1645C4⋊C4C23×D6114yes—
1646C4⋊C4C23×D6114yes—
1647C4⋊C4C23×D6114yes—
1648C22⋊C4—614no—
1649C22⋊C4—614no—
1650C22⋊C4—614no—
1651C22⋊C4—614no—
1652C22⋊C4—614no—
1653C22⋊C4—614no—
1654C22⋊C4—614no—
1655C22⋊C4—614no—
1656C22⋊C4—614no—
1657C22⋊C4—614no—
1658C22⋊C4—614no—
1659C22⋊C4—614no—
1660C22⋊C4—614no—
1661C22⋊C4—614no—
1662C22⋊C4—614no—
1663C22⋊C4—614no—
1664C22⋊C4—614no—
1665C22⋊C4—614no—
1666C22⋊C4—614no—
1667C22⋊C4—614no—
1668C22⋊C4—614no—
1669C22⋊C4—614no—
1670C22⋊C4—614no—
1671C22⋊C4—614no—
1672C22⋊C4—614no—
1673C22⋊C4—614no—
1674C22⋊C4—614no—
1675C22⋊C4—614no—
1676C22⋊C4—614no—
1677C22⋊C4—614no—
1678C22⋊C4—614no—
1679C22⋊C4—614no—
1680C22⋊C4—614no—
1681C22⋊C4—614no—
1682C22⋊C4—614no—
1683C22⋊C4—614no—
1684C22⋊C4—614no—
1685C22⋊C4—614no—
1686C22⋊C4C23×D6114yes—
1687C22⋊C4C23×D6114yes—
1688C22⋊C4C23×D6114yes—
1689C22⋊C4C23×D6114yes—
1690C22⋊C4C23×D6114yes—
1691C22⋊C4C23×D6114yes—
1692C22⋊C4C23×D6114yes—
1693C22⋊C4C23×D6114yes—
1694C22⋊C4C23×D6114yes—
1695C22⋊C4C23×D6114yes—
1696C42—614no—
1697C42—614no—
1698C42—614no—
1699C42—614no—
1700C42—614no—
1701C42—614no—
1702C42—614no—
1703C42—614no—
1704C42—614no—
1705C42—614no—
1706C42—614no—
1707C42—614no—
1708C42—614no—
1709C42C23×D6114yes—
1710C42C23×D6114yes—
1711C42C23×D6114yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—612no—
1725C23—612no—
1726C23—612no—
1727C23—1222no—
1728C23—1222no—
1729C23—1222no—
1730C23—1222no—
1731C23—1222no—
1732C23—1222no—
1733C23—1222no—
1734C23—1222no—
1735C23—1222no—
1736C23—4888no—
1737C23—2444no—
1738C23—2444no—
1739C23—2444no—
1740C23C24×D6112yes—
1741C23C24×D6112yes—
1742C23C24×D6112yes—
1743C23C24×D6112yes—
1744C23C24×D6111yescharacteristic
1745Q8—2444no—
1746Q8—2444no—
1747Q8—2444no—
1748Q8—2444no—
1749Q8—2444no—
1750Q8—2444no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—2444no—
1758D4—2444no—
1759D4—2444no—
1760D4—2444no—
1761D4—2444no—
1762D4—2444no—
1763D4—2444no—
1764D4—2444no—
1765D4—2444no—
1766D4—2444no—
1767D4—2444no—
1768D4—2444no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—612no—
1787C2×C4—612no—
1788C2×C4—612no—
1789C2×C4—612no—
1790C2×C4—612no—
1791C2×C4—612no—
1792C2×C4—612no—
1793C2×C4—612no—
1794C2×C4—612no—
1795C2×C4—612no—
1796C2×C4—612no—
1797C2×C4—612no—
1798C2×C4—612no—
1799C2×C4—1222no—
1800C2×C4—1222no—
1801C2×C4—1222no—
1802C2×C4—1222no—
1803C2×C4—1222no—
1804C2×C4—1222no—
1805C2×C4—1222no—
1806C2×C4—1222no—
1807C2×C4—1222no—
1808C2×C4—1222no—
1809C2×C4—1222no—
1810C2×C4—1222no—
1811C2×C4—1222no—
1812C2×C4—2444no—
1813C2×C4—2444no—
1814C2×C4—2444no—
1815C2×C4—2444no—
1816C2×C4—2444no—
1817C2×C4—2444no—
1818C2×C4—2444no—
1819C2×C4—2444no—
1820C2×C4—2444no—
1821C2×C4—2444no—
1822C2×C4—2444no—
1823C2×C4—2444no—
1824C2×C4C24×D6112yes—
1825C2×C4C24×D6112yes—
1826C2×C4C24×D6112yes—
1827C2×C4C24×D6112yes—
1828C2×C4C24×D6112yes—
1829C2×C4C24×D6112yes—
1830C2×C4C24×D6112yes—
1831C2×C4C24×D6112yes—
1832C2×C4C24×D6112yes—
1833C2×C4C24×D6112yes—
1834C2×C4C24×D6112yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—1222no—
1852C22—1222no—
1853C22—1222no—
1854C22—1222no—
1855C22—1222no—
1856C22—1222no—
1857C22—1222no—
1858C22—1222no—
1859C22—1222no—
1860C22—4888no—
1861C22—2444no—
1862C22—2444no—
1863C22—2444no—
1864C22#1684059712yes—
1865C22#1684059812yes—
1866C22#1684059812yes—
1867C22C25×D6111yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—1222no—
1880C4—1222no—
1881C4—1222no—
1882C4—1222no—
1883C4—1222no—
1884C4—1222no—
1885C4—1222no—
1886C4—1222no—
1887C4—1222no—
1888C4—1222no—
1889C4—1222no—
1890C4—1222no—
1891C4—1222no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—2442no—
1897C2—2442no—
1898C2—2442no—
1899C2#2146047214yesdirect product factor
1900C2C2×#1684059711yescharacteristic
1901C2C2×#1684059811yescharacteristic
1902C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#553C2
socleC23×C61C25
hypercenterC2×#553D61
hypocenterC61C2×#3566
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #21460472C2direct (N × H)
2. C2×#16840514C2semidirect
3. C2×#16840507C2semidirect
4. C2×#16840507C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840496C2semidirect
7. C2×#16840482C2semidirect
8. C2×#16840476C2semidirect
9. C2×#16840462C2semidirect
10. C2×#16840461C2semidirect
11. C2×#16840447C2semidirect
12. C2×#16840445C2semidirect
13. C2×#16840444C2semidirect
14. C2×#16840441C2semidirect
15. C2×#16840437C2semidirect
16. C2×#16840435C2semidirect
17. C2×#16840383C2semidirect
18. C2×#16840378C2semidirect
19. C2×#16840377C2semidirect
20. C2×#16840371C2semidirect
21. C2×#16840369C2semidirect
22. C2×#16840365C2semidirect
23. C2×#16840359C2semidirect
24. C2×#16840357C2semidirect
25. C2×#16840355C2semidirect
26. C2×#16840345C2semidirect
27. C2×#16840344C2semidirect
28. C2×#16840344C2semidirect
29. C2×#16840292C2semidirect
30. C2×#16840292C2semidirect
31. C2×#16840289C2semidirect
32. C2×C61×#553C2semidirect
33. #16840514C22semidirect
34. #16840507C22semidirect
35. #16840507C22semidirect
36. #16840500C22semidirect
37. #16840496C22semidirect
38. #16840482C22semidirect
39. #16840476C22semidirect
40. #16840462C22semidirect
41. #16840461C22semidirect
42. #16840447C22semidirect
43. #16840445C22semidirect
44. #16840444C22semidirect
45. #16840441C22semidirect
46. #16840437C22semidirect
47. #16840435C22semidirect
48. #16840383C22semidirect
49. #16840378C22semidirect
50. #16840377C22semidirect
51. #16840371C22semidirect
52. #16840369C22semidirect
53. #16840365C22semidirect
54. #16840359C22semidirect
55. #16840357C22semidirect
56. #16840355C22semidirect
57. #16840345C22semidirect
58. #16840344C22semidirect
59. #16840344C22semidirect
60. C2×#14519777C22semidirect
61. C2×#14519776C22semidirect
62. C2×#14519776C22semidirect
64. #16840292C22semidirect
65. #16840292C22semidirect
66. #16840289C22semidirect
74. C2×#14519772C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519770C22semidirect
83. C2×#14519770C22semidirect
84. C2×#14519770C22semidirect
85. C2×#14519769C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519768C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
92. C2×#14519767C22semidirect
93. C2×#14519767C22semidirect
94. C2×#14519767C22semidirect
95. C2×#14519767C22semidirect
99. C2×#14519764C22semidirect
106. C2×#14519763C22semidirect
107. C2×#14519763C22semidirect
114. C2×#14519761C22semidirect
120. C2×#14519760C22semidirect
124. C2×#14519759C22semidirect
128. C2×#14519758C22semidirect
129. C2×#14519758C22semidirect
133. C2×#14519756C22semidirect
134. C2×#14519756C22semidirect
135. C2×#14519756C22semidirect
140. C2×#14519755C22semidirect
141. C2×#14519755C22semidirect
144. C2×#14519754C22semidirect
145. C2×#14519754C22semidirect
146. C2×#14519754C22semidirect
147. C2×#14519754C22semidirect
157. C2×#14519749C22semidirect
161. C2×#14519748C22semidirect
166. C2×C4×Dic122C22semidirect
167. C2×C4×Dic122C22semidirect
168. C2×C4×Dic122C22semidirect
169. C2×#14519742C22semidirect
170. C2×#14519742C22semidirect
171. C2×#14519742C22semidirect
174. C2×D4×Dic61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
185. C2×#14519737C22semidirect
187. C2×#14519736C22semidirect
188. C2×#14519736C22semidirect
191. C2×#14519735C22semidirect
194. C2×#14519734C22semidirect
196. C2×#14519733C22semidirect
197. C22×#11758196C22semidirect
198. C2×C4⋊C4×D61C22semidirect
202. C22×C4×Dic61C22semidirect
203. C61×#553C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
208. C2×#123×C61C22semidirect
212. C2×#121×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×#117×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
250. #14519777C23semidirect
251. #14519776C23semidirect
252. #14519776C23semidirect
261. #14519772C23semidirect
268. #14519770C23semidirect
269. #14519770C23semidirect
270. #14519770C23semidirect
271. #14519770C23semidirect
272. #14519769C23semidirect
273. #14519768C23semidirect
274. #14519768C23semidirect
275. #14519767C23semidirect
276. #14519767C23semidirect
277. #14519767C23semidirect
278. #14519767C23semidirect
279. #14519767C23semidirect
280. #14519767C23semidirect
281. #14519767C23semidirect
282. #14519767C23semidirect
286. #14519764C23semidirect
293. #14519763C23semidirect
294. #14519763C23semidirect
301. #14519761C23semidirect
307. #14519760C23semidirect
311. #14519759C23semidirect
315. #14519758C23semidirect
316. #14519758C23semidirect
320. #14519756C23semidirect
321. #14519756C23semidirect
322. #14519756C23semidirect
327. #14519755C23semidirect
328. #14519755C23semidirect
331. #14519754C23semidirect
332. #14519754C23semidirect
333. #14519754C23semidirect
334. #14519754C23semidirect
344. #14519749C23semidirect
348. #14519748C23semidirect
353. C4×Dic122C23semidirect
354. C4×Dic122C23semidirect
355. C4×Dic122C23semidirect
356. #14519742C23semidirect
357. #14519742C23semidirect
358. #14519742C23semidirect
361. D4×Dic61C23semidirect
367. C4×C22⋊D61C23semidirect
368. C4×C22⋊D61C23semidirect
372. #14519737C23semidirect
374. #14519736C23semidirect
375. #14519736C23semidirect
378. #14519735C23semidirect
381. #14519734C23semidirect
383. #14519733C23semidirect
422. C2×#11758196C23semidirect
423. C4⋊C4×D61C23semidirect
478. C2×C4×Dic61C23semidirect
492. #126×C61C23semidirect
493. #125×C61C23semidirect
495. #123×C61C23semidirect
499. #121×C61C23semidirect
502. C4×D4×C61C23semidirect
503. C4×D4×C61C23semidirect
504. #117×C61C23semidirect
515. C2×C4⋊C4×C61C23semidirect
951. C2×#553D61semidirect
977. C2×C61#3566semidirect
993. #553C2×D61semidirect
1038. C2×#126C2×D61semidirect
1050. C2×#125C2×D61semidirect
1086. C2×#123C2×D61semidirect
1122. C2×#121C2×D61semidirect
1149. C2×C4×D4C2×D61semidirect
1150. C2×C4×D4C2×D61semidirect
1162. C2×#117C2×D61semidirect
1165. C22×C4⋊C4C2×D61semidirect
1170. C61C2×#3566semidirect
1237. #126C22×D61semidirect
1249. #125C22×D61semidirect
1285. #123C22×D61semidirect
1321. #121C22×D61semidirect
1348. C4×D4C22×D61semidirect
1349. C4×D4C22×D61semidirect
1361. #117C22×D61semidirect
1412. C2×C4⋊C4C22×D61semidirect
1899. C2#21460472direct (N × H)

Maximal subgroups

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

subgroupindex
#214604722
C2×#168405142
C2×#168405072
C2×#168405002
C2×#168404962
C2×#168404822
C2×#168404762
C2×#168404622
C2×#168404612
C2×#168404472
C2×#168404452
C2×#168404442
C2×#168404412
C2×#168404372
C2×#168404352
C2×#168403832
C2×#168403782
C2×#168403772
C2×#168403712
C2×#168403692
C2×#168403652
C2×#168403592
C2×#168403572
C2×#168403552
C2×#168403452
C2×#168403442
C2×#168402922
C2×#168402892
C2×C61×#5532
C2×#356661