Finite Group Databasebeta

← C2×#21460020 #30587213

Subgroups — C2×#21460020 #30587213

Order 15616.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460020C2132yesmaximal, direct product factor
2C2×#16840513C211yesmaximal, characteristic, complemented
3C2×#16840511C211yesmaximal, characteristic, complemented
4C2×#16840509C211yesmaximal, characteristic, complemented
5C2×#16840507C211yesmaximal, characteristic, complemented
6C2×#16840467C211yesmaximal, characteristic, complemented
7C2×#16840466C211yesmaximal, characteristic, complemented
8C2×#16840449C211yesmaximal, characteristic, complemented
9C2×#16840447C211yesmaximal, characteristic, complemented
10C2×#16840441C211yesmaximal, characteristic, complemented
11C2×#16840441C211yesmaximal, characteristic, complemented
12C2×#16840440C211yesmaximal, characteristic, complemented
13C2×#16840435C211yesmaximal, characteristic, complemented
14C2×#16840411C211yesmaximal, characteristic, complemented
15C2×#16840401C211yesmaximal, characteristic, complemented
16C2×#16840400C211yesmaximal, characteristic, complemented
17C2×#16840389C211yesmaximal, characteristic, complemented
18C2×#16840387C211yesmaximal, characteristic, complemented
19C2×#16840382C211yesmaximal, characteristic, complemented
20C2×#16840380C211yesmaximal, characteristic, complemented
21C2×#16840359C211yesmaximal, characteristic, complemented
22C2×#16840357C211yesmaximal, characteristic, complemented
23C2×#16840355C211yesmaximal, characteristic, complemented
24C2×#16840354C211yesmaximal, characteristic, complemented
25C2×#16840354C211yesmaximal, characteristic, complemented
26C2×#16840344C211yesmaximal, characteristic, complemented
27C2×#16840334C211yesmaximal, characteristic, complemented
28C2×#16840333C211yesmaximal, characteristic, complemented
29C2×#16840269C211yesmaximal, characteristic, complemented
30C2×#123×D61C211yesmaximal, characteristic, complemented
31C22×#14519755C211yesmaximal, characteristic, complemented
32C2×C61×#547C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C23×Dic122C2211yescharacteristic, complemented
35C22×D4×D61C2211yescharacteristic
36C23×C4×D61C2211yescharacteristic
37#16840513C22116yescomplemented
38#16840511C22116yescomplemented
39#16840509C22116yescomplemented
40#16840507C22116yescomplemented
41#16840467C22116yescomplemented
42#16840466C22116yescomplemented
43#16840449C22116yescomplemented
44#16840447C22116yescomplemented
45#16840441C22116yescomplemented
46#16840441C22116yescomplemented
47#16840440C22116yescomplemented
48#16840435C22116yescomplemented
49#16840411C22116yescomplemented
50#16840401C22116yescomplemented
51#16840400C22116yescomplemented
52#16840389C22116yescomplemented
53#16840387C22116yescomplemented
54#16840382C22116yescomplemented
55#16840380C22116yescomplemented
56#16840359C22116yescomplemented
57#16840357C22116yescomplemented
58#16840355C22116yescomplemented
59#16840354C22116yescomplemented
60#16840354C22116yescomplemented
61#16840344C22116yescomplemented
62#16840334C22116yescomplemented
63#16840333C22116yescomplemented
64C2×#14519776C2211yescharacteristic, complemented
65C2×#14519776C2211yescharacteristic, complemented
66C2×#14519775C2211yescharacteristic, complemented
67C2×#14519775C2211yescharacteristic, complemented
68C2×#14519775C2211yescharacteristic, complemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519771C2211yescharacteristic, complemented
75C2×#14519771C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519769C2211yescharacteristic, complemented
82C2×#14519768C2211yescharacteristic, complemented
83C2×#14519768C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519767C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519766C2211yescharacteristic
92C2×#14519764C2211yescharacteristic, complemented
93C2×#14519764C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic
95C2×#14519763C2211yescharacteristic, complemented
96C2×#14519763C2211yescharacteristic, complemented
97C2×#14519763C2211yescharacteristic, complemented
98C2×#14519763C2211yescharacteristic, complemented
99#16840269C22116yescomplemented
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic
103C2×#14519761C2211yescharacteristic
104C2×#14519761C2211yescharacteristic, complemented
105C2×#14519760C2211yescharacteristic
106C2×#14519760C2211yescharacteristic
107C2×#14519760C2211yescharacteristic
108C2×#14519760C2211yescharacteristic, complemented
109C2×#14519760C2211yescharacteristic, complemented
110C2×#14519760C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic
112C2×#14519759C2211yescharacteristic
113C2×#14519759C2211yescharacteristic
114C2×#14519759C2211yescharacteristic
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519758C2211yescharacteristic
117C2×#14519758C2211yescharacteristic
118C2×#14519758C2211yescharacteristic, complemented
119C2×#14519758C2211yescharacteristic, complemented
120C2×#14519758C2211yescharacteristic, complemented
121C2×#14519758C2211yescharacteristic, complemented
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519758C2211yescharacteristic, complemented
124#123×D61C22116yescomplemented
125C2×#14519757C2211yescharacteristic
126C2×#14519757C2211yescharacteristic, complemented
127C2×#14519756C2211yescharacteristic, complemented
128C2×#14519756C2211yescharacteristic, complemented
129C2×#14519756C2211yescharacteristic, complemented
130C2×#14519756C2211yescharacteristic, complemented
131C2×#14519756C2211yescharacteristic, complemented
132C2×#14519756C2211yescharacteristic, complemented
133C2×#14519756C2211yescharacteristic, complemented
134C2×#14519755C2211yescharacteristic
135C2×#14519755C2211yescharacteristic
136C2×#14519755C2211yescharacteristic
137C2×#14519755C2211yescharacteristic
138C2×#14519755C2211yescharacteristic
139C2×#14519755C2211yescharacteristic
140C2×#14519755C2211yescharacteristic, complemented
141C2×#14519755C2211yescharacteristic, complemented
142C2×#14519755C2211yescharacteristic, complemented
143C2×#14519755C2211yescharacteristic, complemented
144C2×#14519755C2211yescharacteristic, complemented
145C2×#14519755C2211yescharacteristic, complemented
146C2×#14519755C2211yescharacteristic, complemented
147C2×#14519755C22116yescomplemented
148C2×#14519754C2211yescharacteristic, complemented
149C2×#14519754C2211yescharacteristic, complemented
150C2×#14519754C2211yescharacteristic, complemented
151C2×#14519754C2211yescharacteristic, complemented
152C2×#14519754C2211yescharacteristic, complemented
153C2×#14519754C2211yescharacteristic, complemented
154C2×#14519753C2211yescharacteristic
155C2×#14519753C2211yescharacteristic
156C2×#14519753C2211yescharacteristic, complemented
157C2×#14519753C2211yescharacteristic, complemented
158C2×#14519751C2211yescharacteristic
159C2×#14519750C2211yescharacteristic
160C2×#14519749C2211yescharacteristic
161C2×#14519749C2211yescharacteristic
162C2×#14519749C2211yescharacteristic
163C2×#14519749C2211yescharacteristic, complemented
164C2×#14519748C2211yescharacteristic
165C2×#14519748C2211yescharacteristic, complemented
166C2×#14519745C2211yescharacteristic
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic
169C2×#14519745C2211yescharacteristic
170C2×#14519742C2211yescharacteristic, complemented
171C2×#14519742C2211yescharacteristic, complemented
172C2×D4×Dic61C2211yescharacteristic
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×C4×C22⋊D61C2211yescharacteristic
175C2×C4×C22⋊D61C2211yescharacteristic
176C2×C4×C22⋊D61C2211yescharacteristic
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic
184C2×#14519736C2211yescharacteristic, complemented
185C2×#14519736C2211yescharacteristic, complemented
186C2×#14519735C2211yescharacteristic
187C2×#14519735C2211yescharacteristic, complemented
188C2×#14519734C2211yescharacteristic
189C2×#14519733C2211yescharacteristic, complemented
190C2×#14519733C2211yescharacteristic, complemented
191C22×#11758196C2211yescharacteristic, complemented
192C22×#11758196C2211yescharacteristic, complemented
193C22×#11758196C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic
195C2×C4⋊C4×D61C2211yescharacteristic
196C22×#11758198C2211yescharacteristic
197C22×#11758198C2211yescharacteristic
198C22×#11758198C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C2×C22⋊C4×D61C2211yescharacteristic
203C22×#41×C61C2211yescharacteristic
204C22×#41×C61C2211yescharacteristic, complemented
205C61×#547C22116yescomplemented
206C2×C4⋊Q8×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×#121×C61C2211yescharacteristic
214C2×#121×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C22×C4⋊C4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758224—44no—
222C2×#11758224C2318yes—
223C22×Dic122—44no—
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2318yescomplemented
232C22×D244C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C2×D4×D61—44no—
242C2×D4×D61C2318yes—
243C23×Dic61C2311yescharacteristic
244C23×Dic61C2311yescharacteristic
245C23×Dic61C2311yescharacteristic
246C23×Dic61C2311yescharacteristic
247C23×Dic61C2311yescharacteristic
248C23×Dic61C2311yescharacteristic
249C22×C4×D61—44no—
250C22×C4×D61C2311yescharacteristic
251C22×C4×D61C2311yescharacteristic
252C22×C4×D61C2311yescharacteristic
253C22×C4×D61C2311yescharacteristic
254C22×C4×D61C2311yescharacteristic
255C22×C4×D61C2311yescharacteristic
256C22×C4×D61C2311yescharacteristic
257C22×C4×D61C2311yescharacteristic
258C22×C4×D61C2311yescharacteristic
259C22×C4×D61C2318yes—
260#14519776C2318yescomplemented
261#14519776C2318yescomplemented
262#14519775C2318yescomplemented
263#14519775C2318yescomplemented
264#14519775C2318yescomplemented
265#14519772C2318yescomplemented
266#14519772C2318yescomplemented
267#14519772C2318yescomplemented
268#14519772C2318yescomplemented
269#14519772C2318yescomplemented
270#14519771C2318yescomplemented
271#14519771C2318yescomplemented
272#14519770C2318yescomplemented
273#14519770C2318yescomplemented
274#14519770C2318yescomplemented
275#14519770C2318yescomplemented
276#14519770C2318yescomplemented
277#14519769C2318yescomplemented
278#14519768C2318yescomplemented
279#14519768C2318yescomplemented
280#14519767C2318yescomplemented
281#14519767C2318yescomplemented
282#14519767C2318yescomplemented
283#14519767C2318yescomplemented
284#14519767C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519766C2318yes—
288#14519764C2318yescomplemented
289#14519764C2318yescomplemented
290#14519763C2318yes—
291#14519763C2318yescomplemented
292#14519763C2318yescomplemented
293#14519763C2318yescomplemented
294#14519763C2318yescomplemented
295#14519762C2318yes—
296#14519762C2318yes—
297#14519762C2318yes—
298#14519761C2318yes—
299#14519761C2318yescomplemented
300#14519760C2318yes—
301#14519760C2318yes—
302#14519760C2318yes—
303#14519760C2318yescomplemented
304#14519760C2318yescomplemented
305#14519760C2318yescomplemented
306#14519759C2318yes—
307#14519759C2318yes—
308#14519759C2318yes—
309#14519759C2318yes—
310#14519759C2318yescomplemented
311#14519758C2318yes—
312#14519758C2318yes—
313#14519758C2318yescomplemented
314#14519758C2318yescomplemented
315#14519758C2318yescomplemented
316#14519758C2318yescomplemented
317#14519758C2318yescomplemented
318#14519758C2318yescomplemented
319#14519757C2318yes—
320#14519757C2318yescomplemented
321#14519756C2318yescomplemented
322#14519756C2318yescomplemented
323#14519756C2318yescomplemented
324#14519756C2318yescomplemented
325#14519756C2318yescomplemented
326#14519756C2318yescomplemented
327#14519756C2318yescomplemented
328#14519755C2318yes—
329#14519755C2318yes—
330#14519755C2318yes—
331#14519755C2318yes—
332#14519755C2318yes—
333#14519755C2318yes—
334#14519755C2318yescomplemented
335#14519755C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519755C2318yescomplemented
340#14519755C2318yescomplemented
341#14519754C2318yescomplemented
342#14519754C2318yescomplemented
343#14519754C2318yescomplemented
344#14519754C2318yescomplemented
345#14519754C2318yescomplemented
346#14519754C2318yescomplemented
347#14519753C2318yes—
348#14519753C2318yes—
349#14519753C2318yescomplemented
350#14519753C2318yescomplemented
351#14519751C2318yes—
352#14519750C2318yes—
353#14519749C2318yes—
354#14519749C2318yes—
355#14519749C2318yes—
356#14519749C2318yescomplemented
357#14519748C2318yes—
358#14519748C2318yescomplemented
359#14519745C2318yes—
360#14519745C2318yes—
361#14519745C2318yes—
362#14519745C2318yes—
363#14519742C2318yescomplemented
364#14519742C2318yescomplemented
365D4×Dic61C2318yes—
366D4×Dic61C2318yescomplemented
367C4×C22⋊D61C2318yes—
368C4×C22⋊D61C2318yes—
369C4×C22⋊D61C2318yes—
370C4×C22⋊D61C2318yes—
371C4×C22⋊D61C2318yes—
372C4×C22⋊D61C2318yescomplemented
373C4×C22⋊D61C2318yescomplemented
374C4×C22⋊D61C2318yescomplemented
375#14519737C2318yes—
376#14519737C2318yes—
377#14519736C2318yescomplemented
378#14519736C2318yescomplemented
379#14519735C2318yes—
380#14519735C2318yescomplemented
381#14519734C2318yes—
382#14519733C2318yescomplemented
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×#11758196C2311yescharacteristic
395C2×#11758196C2311yescharacteristic
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×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2318yescomplemented
425C2×#11758196C2318yescomplemented
426C2×#11758196C2318yescomplemented
427C4⋊C4×D61C2318yes—
428C4⋊C4×D61C2318yes—
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×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2318yes—
464C2×#11758198C2318yes—
465C2×#11758198C2318yes—
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C22⋊C4×D61C2318yes—
471C22⋊C4×D61C2318yes—
472C22⋊C4×D61C2318yes—
473C22⋊C4×D61C2318yes—
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×#41×C61—44no—
484C2×#41×C61—44no—
485C2×#41×C61C2318yes—
486C2×#41×C61C2318yescomplemented
487C22×Q8×C61C2311yescharacteristic
488C22×Q8×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C22×D4×C61C2311yescharacteristic
494C22×D4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497C23×C4×C61C2311yescharacteristic
498C23×C4×C61C2311yescharacteristic
499C23×C4×C61C2311yescharacteristic
500C23×C4×C61C2311yescharacteristic
501C23×C4×C61C2311yescharacteristic
502C23×C4×C61C2311yescharacteristic
503C4⋊Q8×C61C2318yescomplemented
504#123×C61C2318yes—
505#123×C61C2318yescomplemented
506#123×C61C2318yescomplemented
507#123×C61C2318yescomplemented
508C22⋊Q8×C61C2318yescomplemented
509C22⋊Q8×C61C2318yescomplemented
510#121×C61C2318yes—
511#121×C61C2318yescomplemented
512C4×D4×C61C2318yescomplemented
513C4×D4×C61C2318yescomplemented
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×C4⋊C4×C61C2311yescharacteristic
523C2×C4⋊C4×C61C2311yescharacteristic
524C2×C4⋊C4×C61C2318yescomplemented
525C2×C4⋊C4×C61C2318yescomplemented
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C22⋊C4×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C23×D61—24no—
540C23×D61—24no—
541C23×D61—24no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61C2411yescharacteristic
546C23×D61C2411yescharacteristic
547C23×D61C2414yes—
548C23×D61C2411yescharacteristic
549C23×D61C2414yes—
550#41×C61—416no—
551#41×C61—416no—
552C2×Q8×C61—42no—
553C2×Q8×C61—42no—
554C2×Q8×C61C2414yes—
555C2×Q8×C61C2414yes—
556C2×D4×C61—24no—
557C2×D4×C61—24no—
558C2×D4×C61—24no—
559C2×D4×C61—42no—
560C2×D4×C61—42no—
561C2×D4×C61—42no—
562C2×D4×C61C2414yes—
563C2×D4×C61C2414yes—
564C2×D4×C61C2414yes—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C2×D4×C61C2414yes—
568C22×C4×C61—24no—
569C22×C4×C61—24no—
570C22×C4×C61—42no—
571C22×C4×C61—42no—
572C22×C4×C61—42no—
573C22×C4×C61—42no—
574C22×C4×C61—42no—
575C22×C4×C61—42no—
576C22×C4×C61C2411yescharacteristic
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2414yes—
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2411yescharacteristic
585C22×C4×C61C2411yescharacteristic
586C22×C4×C61C2414yes—
587C22×C4×C61C2411yescharacteristic
588C22×C4×C61C2411yescharacteristic
589C22×C4×C61C2414yes—
590C22×C4×C61C2414yes—
591C22×C4×C61C2414yes—
592C22×C4×C61C2414yes—
593C22×C4×C61C2414yes—
594C22×C4×C61C2414yes—
595C2×C22⋊D61—24no—
596C2×C22⋊D61—24no—
597C2×C22⋊D61—24no—
598C2×C22⋊D61—42no—
599C2×C22⋊D61—42no—
600C2×C22⋊D61—42no—
601C2×C22⋊D61—42no—
602C2×C22⋊D61—42no—
603C2×C22⋊D61C2414yes—
604C2×C22⋊D61C2414yes—
605C2×C22⋊D61C2414yes—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C2×C22⋊D61C2414yes—
611C22×Dic61—24no—
612C22×Dic61—24no—
613C22×Dic61—42no—
614C22×Dic61—42no—
615C22×Dic61—42no—
616C22×Dic61—42no—
617C22×Dic61C2411yescharacteristic
618C22×Dic61C2411yescharacteristic
619C22×Dic61C2414yes—
620C22×Dic61C2411yescharacteristic
621C22×Dic61C2411yescharacteristic
622C22×Dic61C2411yescharacteristic
623C22×Dic61C2411yescharacteristic
624C22×Dic61C2411yescharacteristic
625C22×Dic61C2411yescharacteristic
626C22×Dic61C2411yescharacteristic
627C22×Dic61C2411yescharacteristic
628C22×Dic61C2411yescharacteristic
629C22×Dic61C2414yes—
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2414yes—
633C22×Dic61C2414yes—
634C22×Dic61C2414yes—
635C22×Dic61C2414yes—
636#11758224—416no—
637D4×D61—416no—
638C2×D244—42no—
639C2×D244C2414yes—
640C2×C4×D61—24no—
641C2×C4×D61—42no—
642C2×C4×D61—42no—
643C2×C4×D61—42no—
644C2×C4×D61—42no—
645C2×C4×D61—416no—
646C2×C4×D61—42no—
647C2×C4×D61—42no—
648C2×C4×D61—42no—
649C2×C4×D61—42no—
650C2×C4×D61C2414yes—
651C2×C4×D61C2414yes—
652C2×C4×D61C2414yes—
653C2×C4×D61C2414yes—
654C2×C4×D61C2414yes—
655C2×C4×D61C2414yes—
656C2×C4×D61C2414yes—
657C2×C4×D61C2414yes—
658C2×C4×D61C2414yes—
659C2×Dic122—42no—
660C2×Dic122—42no—
661C2×Dic122—42no—
662C2×Dic122—42no—
663C2×Dic122—416no—
664C2×Dic122—42no—
665C2×Dic122—42no—
666C2×Dic122—42no—
667C2×Dic122C2414yes—
668C2×Dic122C2414yes—
669C2×Dic122C2414yes—
670C2×Dic122C2414yes—
671C2×Dic122C2414yes—
672C2×Dic122C2414yes—
673C2×Dic122C2414yes—
674C4⋊C4×C61C2414yes—
675C4⋊C4×C61C2414yes—
676C4⋊C4×C61C2414yes—
677C4⋊C4×C61C2414yes—
678C4⋊C4×C61C2414yes—
679C4⋊C4×C61C2414yes—
680C4⋊C4×C61C2414yes—
681C4⋊C4×C61C2414yes—
682C4⋊C4×C61C2414yes—
683C4⋊C4×C61C2414yes—
684C22⋊C4×C61C2414yes—
685C22⋊C4×C61C2414yes—
686C22⋊C4×C61C2414yes—
687C22⋊C4×C61C2414yes—
688C22⋊C4×C61C2414yes—
689C22⋊C4×C61C2414yes—
690C22⋊C4×C61C2414yes—
691C22⋊C4×C61C2414yes—
692C42×C61C2414yes—
693C22⋊Dic61C2414yes—
694C22⋊Dic61C2414yes—
695C22⋊Dic61C2414yes—
696C22⋊Dic61C2414yes—
697C22⋊Dic61C2414yes—
698C22⋊Dic61C2414yes—
699C22⋊Dic61C2414yes—
700C22⋊Dic61C2414yes—
701C22⋊Dic61C2414yes—
702C22⋊Dic61C2414yes—
703C22⋊Dic61C2414yes—
704C22⋊Dic61C2414yes—
705C22⋊Dic61C2414yes—
706C22⋊Dic61C2414yes—
707C22⋊Dic61C2414yes—
708C22⋊Dic61C2414yes—
709#11758198C2414yes—
710#11758198C2414yes—
711#11758198C2414yes—
712#11758198C2414yes—
713#11758198C2414yes—
714#11758198C2414yes—
715#11758198C2414yes—
716#11758198C2414yes—
717#11758198C2414yes—
718#11758198C2414yes—
719#11758198C2414yes—
720#11758198C2414yes—
721#11758198C2414yes—
722#11758198C2414yes—
723#11758198C2414yes—
724#11758198C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731C4⋊Dic61C2414yes—
732C4⋊Dic61C2414yes—
733C4⋊Dic61C2414yes—
734C4⋊Dic61C2414yes—
735C4⋊Dic61C2414yes—
736C4⋊Dic61C2414yes—
737C4⋊Dic61C2414yes—
738C4⋊Dic61C2414yes—
739C4⋊Dic61C2414yes—
740C4⋊Dic61C2414yes—
741#11758196C2414yes—
742#11758196C2414yes—
743#11758196C2414yes—
744#11758196C2414yes—
745#11758196C2414yes—
746#11758196C2414yes—
747#11758196C2414yes—
748#11758196C2414yes—
749#11758196C2414yes—
750#11758196C2414yes—
751#11758196C2414yes—
752#11758196C2414yes—
753#11758196C2414yes—
754#11758196C2414yes—
755#11758196C2414yes—
756#11758196C2414yes—
757#11758196C2414yes—
758#11758196C2414yes—
759#11758196C2414yes—
760#11758196C2414yes—
761#11758196C2414yes—
762#11758196C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771C4×Dic61C2414yes—
772C4×Dic61C2414yes—
773C4×Dic61C2414yes—
774C4×Dic61C2414yes—
775C4×Dic61C2414yes—
776C4×Dic61C2414yes—
777C4×Dic61C2414yes—
778C4×Dic61C2414yes—
779C4×Dic61C2414yes—
780C23×C61—22no—
781C23×C61—22no—
782C23×C61—22no—
783C23×C61—22no—
784C23×C61—22no—
785C23×C61—22no—
786C23×C61—22no—
787C23×C61—22no—
788C23×C61—22no—
789C23×C61—22no—
790C23×C61—22no—
791C23×C61H(5,𝔽2)14yes—
792C23×C61C2512yes—
793C23×C61C2512yes—
794C23×C61C2512yes—
795C23×C61C2512yes—
796C23×C61C2511yescharacteristic
797C22×D61—22no—
798C22×D61—22no—
799C22×D61—22no—
800C22×D61—28no—
801C22×D61—22no—
802C22×D61—22no—
803C22×D61—22no—
804C22×D61—22no—
805C22×D61—22no—
806C22×D61—28no—
807C22×D61—28no—
808C22×D61—44no—
809C22×D61—44no—
810C22×D61—44no—
811C22×D61—416no—
812C22×D61—88no—
813C22×D612−1+414yes—
814C22×D61C2512yes—
815C22×D61C2512yes—
816C22×D61C2512yes—
817Q8×C61—44no—
818Q8×C61—44no—
819D4×C61—28no—
820D4×C61—28no—
821D4×C61—28no—
822D4×C61—44no—
823D4×C61—44no—
824D4×C61—44no—
825C2×C4×C61—22no—
826C2×C4×C61—22no—
827C2×C4×C61—28no—
828C2×C4×C61—22no—
829C2×C4×C61—22no—
830C2×C4×C61—22no—
831C2×C4×C61—28no—
832C2×C4×C61—22no—
833C2×C4×C61—22no—
834C2×C4×C61—22no—
835C2×C4×C61—22no—
836C2×C4×C61—22no—
837C2×C4×C61—22no—
838C2×C4×C61—44no—
839C2×C4×C61—44no—
840C2×C4×C61—44no—
841C2×C4×C61—44no—
842C2×C4×C61—44no—
843C2×C4×C61—44no—
844C2×C4×C61C2512yes—
845C2×C4×C61C2512yes—
846C2×C4×C61C2512yes—
847C2×C4×C61C2512yes—
848C2×C4×C61C2512yes—
849C2×C4×C61C2512yes—
850C2×C4×C61C2512yes—
851C2×C4×C61C2512yes—
852C2×C4×C61C2512yes—
853C2×C4×C61C2512yes—
854C2×C4×C61C2512yes—
855C22⋊D61—28no—
856C22⋊D61—28no—
857C22⋊D61—28no—
858C22⋊D61—44no—
859C22⋊D61—44no—
860C22⋊D61—44no—
861C22⋊D61—44no—
862C22⋊D61—44no—
863C2×Dic61—22no—
864C2×Dic61—28no—
865C2×Dic61—22no—
866C2×Dic61—22no—
867C2×Dic61—22no—
868C2×Dic61—28no—
869C2×Dic61—22no—
870C2×Dic61—22no—
871C2×Dic61—22no—
872C2×Dic61—22no—
873C2×Dic61—22no—
874C2×Dic61—22no—
875C2×Dic61—22no—
876C2×Dic61—22no—
877C2×Dic61—22no—
878C2×Dic61—44no—
879C2×Dic61—44no—
880C2×Dic61—44no—
881C2×Dic61—44no—
882C2×Dic61C2512yes—
883C2×Dic61C2512yes—
884C2×Dic61C2512yes—
885C2×Dic61C2512yes—
886C2×Dic61C2512yes—
887C2×Dic61C2512yes—
888C2×Dic61C2512yes—
889C2×Dic61C2512yes—
890C2×Dic61C2512yes—
891C2×Dic61C2512yes—
892C2×Dic61C2512yes—
893C2×Dic61C2512yes—
894C2×Dic61C2512yes—
895D244—44no—
896C4×D61—28no—
897C4×D61—44no—
898C4×D61—44no—
899C4×D61—44no—
900C4×D61—44no—
901C4×D61—44no—
902C4×D61—44no—
903C4×D61—44no—
904C4×D61—44no—
905Dic122—44no—
906Dic122—44no—
907Dic122—44no—
908Dic122—44no—
909Dic122—44no—
910Dic122—44no—
911Dic122—44no—
912C2×#3535—611nomaximal, Sylow
913C22×C61—22no—
914C22×C61—22no—
915C22×C61—28no—
916C22×C61—22no—
917C22×C61—22no—
918C22×C61—22no—
919C22×C61—22no—
920C22×C61—22no—
921C22×C61—22no—
922C22×C61—22no—
923C22×C61—22no—
924C22×C61—22no—
925C22×C61—44no—
926C22×C61—44no—
927C22×C61—44no—
928C22×C61C2×H(5,𝔽2)14yes—
929C22×C61C2×H(5,𝔽2)12yes—
930C22×C61C2×2−1+412yes—
931C22×C61#58512yes—
932C22×C61C2611yescharacteristic
933C2×D61—22no—
934C2×D61—22no—
935C2×D61—28no—
936C2×D61—22no—
937C2×D61—22no—
938C2×D61—22no—
939C2×D61—22no—
940C2×D61—22no—
941C2×D61—22no—
942C2×D61—416no—
943C2×D61—44no—
944C2×D61—44no—
945C2×D61—88no—
946C2×D61C2×2−1+414yes—
947C4×C61—22no—
948C4×C61—22no—
949C4×C61—22no—
950C4×C61—22no—
951C4×C61—22no—
952C4×C61—22no—
953C4×C61—22no—
954C4×C61—22no—
955C4×C61—22no—
956C4×C61—22no—
957C4×C61—22no—
958Dic61—22no—
959Dic61—22no—
960Dic61—22no—
961Dic61—22no—
962Dic61—22no—
963Dic61—22no—
964Dic61—22no—
965Dic61—22no—
966Dic61—22no—
967Dic61—22no—
968Dic61—22no—
969Dic61—22no—
970Dic61—22no—
971#3535—6132no—
972C2×#563—611no—
973C2×#563—611no—
974C2×#562—611no—
975C2×#562—611no—
976C2×#554—611no—
977C2×#554—611no—
978C2×#552—611no—
979C2×#552—611no—
980C2×#551—611no—
981C2×#551—611no—
982C2×#551—611no—
983C2×#551—611no—
984C2×#547—611no—
985C2×#547D6111yescharacteristic, complemented
986C2×#546—611no—
987C2×#546—611no—
988C2×#544—611no—
989C2×#543—611no—
990C2×#542—611no—
991C2×#542—611no—
992C2×#539—611no—
993C2×#539—611no—
994C2×#539—611no—
995C2×#539—611no—
996C2×#539—611no—
997C2×#538—611no—
998C2×#536—611no—
999C2×#536—611no—
1000C2×#525—611no—
1001C22×#123—611no—
1002C22×C22⋊Q8—611no—
1003C2×C61—24no—
1004C2×C61—42no—
1005C2×C61—42no—
1006C2×C61—42no—
1007C2×C61#353514yescomplemented
1008C2×C61C22×H(5,𝔽2)11yescharacteristic
1009C2×C61C22×2−1+411yescharacteristic
1010C2×C61C2×#58511yescharacteristic
1011D61—24no—
1012D61—42no—
1013D61—42no—
1014C22×#41—611no—
1015C22×#41C2×D6111yescharacteristic
1016C22×#41C2×D6111yescharacteristic, complemented
1017C23×Q8—611no—
1018C23×D4—611no—
1019C24×C4—611no—
1020#563—6116no—
1021#563—6116no—
1022#562—6116no—
1023#562—6116no—
1024#554—6116no—
1025#554—6116no—
1026#552—6116no—
1027#552—6116no—
1028#551—6116no—
1029#551—6116no—
1030#551—6116no—
1031#551—6116no—
1032#547—6116no—
1033#547C2×D61116yescomplemented
1034#546—6116no—
1035#546—6116no—
1036#544—6116no—
1037#543—6116no—
1038#542—6116no—
1039#542—6116no—
1040#539—6116no—
1041#539—6116no—
1042#539—6116no—
1043#539—6116no—
1044#539—6116no—
1045#538—6116no—
1046#536—6116no—
1047#536—6116no—
1048C2×C4⋊Q8—611no—
1049C2×C4⋊Q8—611no—
1050C2×C4⋊Q8—611no—
1051C2×C4⋊Q8—611no—
1052C2×C4⋊Q8—611no—
1053C2×C4⋊Q8C2×D6111yescharacteristic, complemented
1054C2×#126—611no—
1055C2×#126—611no—
1056C2×#126—611no—
1057C2×#126—611no—
1058C2×#126—611no—
1059C2×#126—611no—
1060C2×#126—611no—
1061C2×#126—611no—
1062C2×#126—611no—
1063C2×#126—611no—
1064C2×#126—611no—
1065C2×#126—611no—
1066C2×#125—611no—
1067C2×#125—611no—
1068C2×#125—611no—
1069C2×#125—611no—
1070C2×#125—611no—
1071C2×#125—611no—
1072C2×#125—611no—
1073C2×#125—611no—
1074C2×#125—611no—
1075C2×#125—611no—
1076C2×#124—611no—
1077C2×#124—611no—
1078C2×#124—611no—
1079C2×#124—611no—
1080C2×#124—611no—
1081C2×#124—611no—
1082C2×#124—611no—
1083C2×#124—611no—
1084#525—6116no—
1085C2×#123—611no—
1086C2×#123—611no—
1087C2×#123—611no—
1088C2×#123—611no—
1089C2×#123—611no—
1090C2×#123—611no—
1091C2×#123—611no—
1092C2×#123—611no—
1093C2×#123—611no—
1094C2×#123—611no—
1095C2×#123—611no—
1096C2×#123—611no—
1097C2×#123—611no—
1098C2×#123—611no—
1099C2×#123—6116no—
1100C2×#123—611no—
1101C2×#123—611no—
1102C2×#123—611no—
1103C2×#123—611no—
1104C2×#123—611no—
1105C2×#123—611no—
1106C2×#123—611no—
1107C2×#123—611no—
1108C2×#123—611no—
1109C2×#123—611no—
1110C2×#123C2×D6111yescharacteristic
1111C2×#123C2×D6111yescharacteristic, complemented
1112C2×#123C2×D6111yescharacteristic, complemented
1113C2×#123C2×D6111yescharacteristic, complemented
1114C2×C22⋊Q8—611no—
1115C2×C22⋊Q8—611no—
1116C2×C22⋊Q8—611no—
1117C2×C22⋊Q8—611no—
1118C2×C22⋊Q8—611no—
1119C2×C22⋊Q8—611no—
1120C2×C22⋊Q8—611no—
1121C2×C22⋊Q8—611no—
1122C2×C22⋊Q8—611no—
1123C2×C22⋊Q8—611no—
1124C2×C22⋊Q8—611no—
1125C2×C22⋊Q8—611no—
1126C2×C22⋊Q8—611no—
1127C2×C22⋊Q8—611no—
1128C2×C22⋊Q8—611no—
1129C2×C22⋊Q8—611no—
1130C2×C22⋊Q8—611no—
1131C2×C22⋊Q8—611no—
1132C2×C22⋊Q8—611no—
1133C2×C22⋊Q8—611no—
1134C2×C22⋊Q8—611no—
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—611no—
1137C2×C22⋊Q8—611no—
1138C2×C22⋊Q8—611no—
1139C2×C22⋊Q8—611no—
1140C2×C22⋊Q8—6116no—
1141C2×C22⋊Q8—611no—
1142C2×C22⋊Q8—611no—
1143C2×C22⋊Q8—611no—
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊Q8—611no—
1147C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1148C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1149C2×#121—611no—
1150C2×#121—611no—
1151C2×#121—611no—
1152C2×#121—611no—
1153C2×#121—611no—
1154C2×#121—611no—
1155C2×#121—611no—
1156C2×#121—611no—
1157C2×#121C2×D6111yescharacteristic
1158C2×#121C2×D6111yescharacteristic, complemented
1159C2×#120—611no—
1160C2×#120—611no—
1161C2×#120—611no—
1162C2×#120—611no—
1163C2×C4×Q8—611no—
1164C2×C4×Q8—611no—
1165C2×C4×D4—611no—
1166C2×C4×D4—611no—
1167C2×C4×D4—611no—
1168C2×C4×D4—611no—
1169C2×C4×D4—611no—
1170C2×C4×D4—611no—
1171C2×C4×D4—611no—
1172C2×C4×D4—611no—
1173C2×C4×D4—611no—
1174C2×C4×D4—611no—
1175C2×C4×D4—611no—
1176C2×C4×D4—611no—
1177C2×C4×D4C2×D6111yescharacteristic, complemented
1178C2×C4×D4C2×D6111yescharacteristic, complemented
1179C2×#117—611no—
1180C2×#117—611no—
1181C2×#117—611no—
1182C2×#117—611no—
1183C2×#117—611no—
1184C2×#117—611no—
1185C2×#117—611no—
1186C22×C4⋊C4—611no—
1187C22×C4⋊C4—611no—
1188C22×C4⋊C4—611no—
1189C22×C4⋊C4—611no—
1190C22×C4⋊C4—611no—
1191C22×C4⋊C4C2×D6111yescharacteristic, complemented
1192C22×C4⋊C4C2×D6111yescharacteristic, complemented
1193C22×C22⋊C4—611no—
1194C22×C22⋊C4—611no—
1195C22×C22⋊C4—611no—
1196C22×C22⋊C4—611no—
1197C22×C22⋊C4—611no—
1198C22×C22⋊C4—611no—
1199C22×C22⋊C4—611no—
1200C61C2×#353511yescharacteristic, complemented, Sylow
1201C25—611no—
1202C25—611no—
1203C2×#41—44no—
1204C2×#41—44no—
1205C2×#41—618no—
1206C2×#41—2444no—
1207C2×#41C22×D6118yes—
1208C2×#41C22×D6118yescomplemented
1209C22×Q8—611no—
1210C22×Q8—611no—
1211C22×Q8—611no—
1212C22×Q8—611no—
1213C22×Q8—611no—
1214C22×Q8—611no—
1215C22×Q8—611no—
1216C22×Q8—618no—
1217C22×Q8—2444no—
1218C22×Q8C22×D6111yescharacteristic
1219C22×Q8C22×D6111yescharacteristic
1220C22×D4—611no—
1221C22×D4—611no—
1222C22×D4—611no—
1223C22×D4—611no—
1224C22×D4—611no—
1225C22×D4—611no—
1226C22×D4—611no—
1227C22×D4—611no—
1228C22×D4—618no—
1229C22×D4—611no—
1230C22×D4—2444no—
1231C22×D4C22×D6111yescharacteristic
1232C22×D4C22×D6111yescharacteristic
1233C22×D4C22×D6111yescharacteristic
1234C22×D4C22×D6111yescharacteristic
1235C22×D4C22×D6111yescharacteristic
1236C22×D4C22×D6111yescharacteristic
1237C23×C4—611no—
1238C23×C4—611no—
1239C23×C4—611no—
1240C23×C4—611no—
1241C23×C4—611no—
1242C23×C4—611no—
1243C23×C4—611no—
1244C23×C4—611no—
1245C23×C4—611no—
1246C23×C4—611no—
1247C23×C4—611no—
1248C23×C4—611no—
1249C23×C4—611no—
1250C23×C4—611no—
1251C23×C4—611no—
1252C23×C4—618no—
1253C23×C4—2444no—
1254C23×C4C22×D6111yescharacteristic
1255C23×C4C22×D6111yescharacteristic
1256C23×C4C22×D6111yescharacteristic
1257C23×C4C22×D6111yescharacteristic
1258C23×C4C22×D6111yescharacteristic
1259C23×C4C22×D6111yescharacteristic
1260C23×C4C22×D6111yescharacteristic
1261C23×C4C22×D6111yescharacteristic
1262C4⋊Q8—618no—
1263C4⋊Q8—618no—
1264C4⋊Q8—618no—
1265C4⋊Q8—618no—
1266C4⋊Q8—618no—
1267C4⋊Q8C22×D6118yescomplemented
1268#126—618no—
1269#126—618no—
1270#126—618no—
1271#126—618no—
1272#126—618no—
1273#126—618no—
1274#126—618no—
1275#126—618no—
1276#126—618no—
1277#126—618no—
1278#126—618no—
1279#126—618no—
1280#125—618no—
1281#125—618no—
1282#125—618no—
1283#125—618no—
1284#125—618no—
1285#125—618no—
1286#125—618no—
1287#125—618no—
1288#125—618no—
1289#125—618no—
1290#124—618no—
1291#124—618no—
1292#124—618no—
1293#124—618no—
1294#124—618no—
1295#124—618no—
1296#124—618no—
1297#124—618no—
1298#123—618no—
1299#123—618no—
1300#123—618no—
1301#123—618no—
1302#123—618no—
1303#123—618no—
1304#123—618no—
1305#123—618no—
1306#123—618no—
1307#123—618no—
1308#123—618no—
1309#123—618no—
1310#123—618no—
1311#123—618no—
1312#123—618no—
1313#123—618no—
1314#123—618no—
1315#123—618no—
1316#123—618no—
1317#123—618no—
1318#123—618no—
1319#123—618no—
1320#123—618no—
1321#123—618no—
1322#123C22×D6118yes—
1323#123C22×D6118yescomplemented
1324#123C22×D6118yescomplemented
1325#123C22×D6118yescomplemented
1326C22⋊Q8—618no—
1327C22⋊Q8—618no—
1328C22⋊Q8—618no—
1329C22⋊Q8—618no—
1330C22⋊Q8—618no—
1331C22⋊Q8—618no—
1332C22⋊Q8—618no—
1333C22⋊Q8—618no—
1334C22⋊Q8—618no—
1335C22⋊Q8—618no—
1336C22⋊Q8—618no—
1337C22⋊Q8—618no—
1338C22⋊Q8—618no—
1339C22⋊Q8—618no—
1340C22⋊Q8—618no—
1341C22⋊Q8—618no—
1342C22⋊Q8—618no—
1343C22⋊Q8—618no—
1344C22⋊Q8—618no—
1345C22⋊Q8—618no—
1346C22⋊Q8—618no—
1347C22⋊Q8—618no—
1348C22⋊Q8—618no—
1349C22⋊Q8—618no—
1350C22⋊Q8—618no—
1351C22⋊Q8—618no—
1352C22⋊Q8—618no—
1353C22⋊Q8—618no—
1354C22⋊Q8—618no—
1355C22⋊Q8—618no—
1356C22⋊Q8—618no—
1357C22⋊Q8—618no—
1358C22⋊Q8C22×D6118yescomplemented
1359C22⋊Q8C22×D6118yescomplemented
1360#121—618no—
1361#121—618no—
1362#121—618no—
1363#121—618no—
1364#121—618no—
1365#121—618no—
1366#121—618no—
1367#121—618no—
1368#121C22×D6118yes—
1369#121C22×D6118yescomplemented
1370#120—618no—
1371#120—618no—
1372#120—618no—
1373#120—618no—
1374C4×Q8—618no—
1375C4×Q8—618no—
1376C4×D4—618no—
1377C4×D4—618no—
1378C4×D4—618no—
1379C4×D4—618no—
1380C4×D4—618no—
1381C4×D4—618no—
1382C4×D4—618no—
1383C4×D4—618no—
1384C4×D4—618no—
1385C4×D4—618no—
1386C4×D4—618no—
1387C4×D4—618no—
1388C4×D4C22×D6118yescomplemented
1389C4×D4C22×D6118yescomplemented
1390#117—618no—
1391#117—618no—
1392#117—618no—
1393#117—618no—
1394#117—618no—
1395#117—618no—
1396#117—618no—
1397C2×C4⋊C4—611no—
1398C2×C4⋊C4—611no—
1399C2×C4⋊C4—611no—
1400C2×C4⋊C4—611no—
1401C2×C4⋊C4—611no—
1402C2×C4⋊C4—611no—
1403C2×C4⋊C4—611no—
1404C2×C4⋊C4—611no—
1405C2×C4⋊C4—611no—
1406C2×C4⋊C4—611no—
1407C2×C4⋊C4—611no—
1408C2×C4⋊C4—611no—
1409C2×C4⋊C4—611no—
1410C2×C4⋊C4—618no—
1411C2×C4⋊C4—618no—
1412C2×C4⋊C4—611no—
1413C2×C4⋊C4—611no—
1414C2×C4⋊C4—611no—
1415C2×C4⋊C4—618no—
1416C2×C4⋊C4—611no—
1417C2×C4⋊C4—611no—
1418C2×C4⋊C4—611no—
1419C2×C4⋊C4—611no—
1420C2×C4⋊C4—611no—
1421C2×C4⋊C4—611no—
1422C2×C4⋊C4—611no—
1423C2×C4⋊C4—611no—
1424C2×C4⋊C4—611no—
1425C2×C4⋊C4—611no—
1426C2×C4⋊C4—611no—
1427C2×C4⋊C4—611no—
1428C2×C4⋊C4—611no—
1429C2×C4⋊C4—611no—
1430C2×C4⋊C4—611no—
1431C2×C4⋊C4—611no—
1432C2×C4⋊C4—611no—
1433C2×C4⋊C4—611no—
1434C2×C4⋊C4—611no—
1435C2×C4⋊C4—611no—
1436C2×C4⋊C4—611no—
1437C2×C4⋊C4—611no—
1438C2×C4⋊C4—611no—
1439C2×C4⋊C4—611no—
1440C2×C4⋊C4—618no—
1441C2×C4⋊C4—618no—
1442C2×C4⋊C4C22×D6111yescharacteristic
1443C2×C4⋊C4C22×D6111yescharacteristic
1444C2×C4⋊C4C22×D6111yescharacteristic
1445C2×C4⋊C4C22×D6111yescharacteristic
1446C2×C4⋊C4C22×D6111yescharacteristic
1447C2×C4⋊C4C22×D6111yescharacteristic
1448C2×C4⋊C4C22×D6111yescharacteristic
1449C2×C4⋊C4C22×D6111yescharacteristic
1450C2×C4⋊C4C22×D6111yescharacteristic
1451C2×C4⋊C4C22×D6111yescharacteristic
1452C2×C4⋊C4C22×D6118yescomplemented
1453C2×C4⋊C4C22×D6118yescomplemented
1454C2×C22⋊C4—611no—
1455C2×C22⋊C4—611no—
1456C2×C22⋊C4—611no—
1457C2×C22⋊C4—611no—
1458C2×C22⋊C4—611no—
1459C2×C22⋊C4—611no—
1460C2×C22⋊C4—611no—
1461C2×C22⋊C4—611no—
1462C2×C22⋊C4—611no—
1463C2×C22⋊C4—611no—
1464C2×C22⋊C4—611no—
1465C2×C22⋊C4—611no—
1466C2×C22⋊C4—611no—
1467C2×C22⋊C4—611no—
1468C2×C22⋊C4—611no—
1469C2×C22⋊C4—611no—
1470C2×C22⋊C4—611no—
1471C2×C22⋊C4—611no—
1472C2×C22⋊C4—611no—
1473C2×C22⋊C4—611no—
1474C2×C22⋊C4—611no—
1475C2×C22⋊C4—611no—
1476C2×C22⋊C4—611no—
1477C2×C22⋊C4—611no—
1478C2×C22⋊C4—611no—
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—611no—
1481C2×C22⋊C4—611no—
1482C2×C22⋊C4—611no—
1483C2×C22⋊C4—611no—
1484C2×C22⋊C4—611no—
1485C2×C22⋊C4—618no—
1486C2×C22⋊C4—618no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—618no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—611no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—618no—
1496C2×C22⋊C4—618no—
1497C2×C22⋊C4—618no—
1498C2×C22⋊C4—618no—
1499C2×C22⋊C4C22×D6111yescharacteristic
1500C2×C22⋊C4C22×D6111yescharacteristic
1501C2×C22⋊C4C22×D6111yescharacteristic
1502C2×C22⋊C4C22×D6111yescharacteristic
1503C2×C22⋊C4C22×D6111yescharacteristic
1504C2×C22⋊C4C22×D6111yescharacteristic
1505C2×C22⋊C4C22×D6111yescharacteristic
1506C2×C22⋊C4C22×D6111yescharacteristic
1507C2×C42—611no—
1508C2×C42—611no—
1509C2×C42—611no—
1510C2×C42—611no—
1511C2×C42—611no—
1512C2×C42—611no—
1513C2×C42—611no—
1514C2×C42—611no—
1515C2×C42—611no—
1516C2×C42C22×D6111yescharacteristic
1517C24—611no—
1518C24—611no—
1519C24—611no—
1520C24—614no—
1521C24—614no—
1522C24—1224no—
1523C24—1224no—
1524C24—1224no—
1525C24—2442no—
1526C24—2442no—
1527C24—2442no—
1528C24C23×D6111yescharacteristic
1529C24C23×D6111yescharacteristic
1530C24C23×D6111yescharacteristic
1531C24C23×D6111yescharacteristic
1532#41—416no—
1533#41—416no—
1534#41—24416no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—614no—
1538C2×Q8—614no—
1539C2×Q8—614no—
1540C2×Q8—614no—
1541C2×Q8—614no—
1542C2×Q8—614no—
1543C2×Q8—614no—
1544C2×Q8—2442no—
1545C2×Q8—2442no—
1546C2×Q8—2442no—
1547C2×Q8—2442no—
1548C2×Q8—2442no—
1549C2×Q8—2442no—
1550C2×Q8—24416no—
1551C2×Q8—2442no—
1552C2×Q8C23×D6114yes—
1553C2×Q8C23×D6114yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—614no—
1561C2×D4—614no—
1562C2×D4—614no—
1563C2×D4—614no—
1564C2×D4—614no—
1565C2×D4—614no—
1566C2×D4—614no—
1567C2×D4—614no—
1568C2×D4—614no—
1569C2×D4—1224no—
1570C2×D4—1224no—
1571C2×D4—1224no—
1572C2×D4—2442no—
1573C2×D4—2442no—
1574C2×D4—2442no—
1575C2×D4—2442no—
1576C2×D4—2442no—
1577C2×D4—2442no—
1578C2×D4—24416no—
1579C2×D4C23×D6114yes—
1580C2×D4C23×D6114yes—
1581C2×D4C23×D6114yes—
1582C2×D4C23×D6114yes—
1583C2×D4C23×D6114yes—
1584C2×D4C23×D6114yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—614no—
1594C22×C4—614no—
1595C22×C4—611no—
1596C22×C4—611no—
1597C22×C4—611no—
1598C22×C4—611no—
1599C22×C4—611no—
1600C22×C4—611no—
1601C22×C4—611no—
1602C22×C4—611no—
1603C22×C4—611no—
1604C22×C4—611no—
1605C22×C4—611no—
1606C22×C4—611no—
1607C22×C4—611no—
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—1224no—
1622C22×C4—1224no—
1623C22×C4—1224no—
1624C22×C4—2442no—
1625C22×C4—2442no—
1626C22×C4—2442no—
1627C22×C4—2442no—
1628C22×C4—24416no—
1629C22×C4—2442no—
1630C22×C4—2442no—
1631C22×C4—2442no—
1632C22×C4—2442no—
1633C22×C4—2442no—
1634C22×C4—2442no—
1635C22×C4—2442no—
1636C22×C4—2442no—
1637C22×C4C23×D6114yes—
1638C22×C4C23×D6114yes—
1639C22×C4C23×D6111yescharacteristic
1640C22×C4C23×D6111yescharacteristic
1641C22×C4C23×D6111yescharacteristic
1642C22×C4C23×D6111yescharacteristic
1643C22×C4C23×D6111yescharacteristic
1644C22×C4C23×D6111yescharacteristic
1645C22×C4C23×D6111yescharacteristic
1646C22×C4C23×D6111yescharacteristic
1647C22×C4C23×D6111yescharacteristic
1648C22×C4C23×D6111yescharacteristic
1649C22×C4C23×D6111yescharacteristic
1650C22×C4C23×D6114yes—
1651C22×C4C23×D6114yes—
1652C22×C4C23×D6114yes—
1653C22×C4C23×D6114yes—
1654C22×C4C23×D6114yes—
1655C22×C4C23×D6114yes—
1656C4⋊C4—614no—
1657C4⋊C4—614no—
1658C4⋊C4—614no—
1659C4⋊C4—614no—
1660C4⋊C4—614no—
1661C4⋊C4—614no—
1662C4⋊C4—614no—
1663C4⋊C4—614no—
1664C4⋊C4—614no—
1665C4⋊C4—614no—
1666C4⋊C4—614no—
1667C4⋊C4—614no—
1668C4⋊C4—614no—
1669C4⋊C4—614no—
1670C4⋊C4—614no—
1671C4⋊C4—614no—
1672C4⋊C4—614no—
1673C4⋊C4—614no—
1674C4⋊C4—614no—
1675C4⋊C4—614no—
1676C4⋊C4—614no—
1677C4⋊C4—614no—
1678C4⋊C4—614no—
1679C4⋊C4—614no—
1680C4⋊C4—614no—
1681C4⋊C4—614no—
1682C4⋊C4—614no—
1683C4⋊C4—614no—
1684C4⋊C4—614no—
1685C4⋊C4—614no—
1686C4⋊C4—614no—
1687C4⋊C4—614no—
1688C4⋊C4—614no—
1689C4⋊C4—614no—
1690C4⋊C4—614no—
1691C4⋊C4—614no—
1692C4⋊C4—614no—
1693C4⋊C4—614no—
1694C4⋊C4—614no—
1695C4⋊C4—614no—
1696C4⋊C4C23×D6114yes—
1697C4⋊C4C23×D6114yes—
1698C4⋊C4C23×D6114yes—
1699C4⋊C4C23×D6114yes—
1700C4⋊C4C23×D6114yes—
1701C4⋊C4C23×D6114yes—
1702C4⋊C4C23×D6114yes—
1703C4⋊C4C23×D6114yes—
1704C4⋊C4C23×D6114yes—
1705C4⋊C4C23×D6114yes—
1706C22⋊C4—614no—
1707C22⋊C4—614no—
1708C22⋊C4—614no—
1709C22⋊C4—614no—
1710C22⋊C4—614no—
1711C22⋊C4—614no—
1712C22⋊C4—614no—
1713C22⋊C4—614no—
1714C22⋊C4—614no—
1715C22⋊C4—614no—
1716C22⋊C4—614no—
1717C22⋊C4—614no—
1718C22⋊C4—614no—
1719C22⋊C4—614no—
1720C22⋊C4—614no—
1721C22⋊C4—614no—
1722C22⋊C4—614no—
1723C22⋊C4—614no—
1724C22⋊C4—614no—
1725C22⋊C4—614no—
1726C22⋊C4—614no—
1727C22⋊C4—614no—
1728C22⋊C4—614no—
1729C22⋊C4—614no—
1730C22⋊C4—614no—
1731C22⋊C4—614no—
1732C22⋊C4—614no—
1733C22⋊C4—614no—
1734C22⋊C4—614no—
1735C22⋊C4—614no—
1736C22⋊C4—614no—
1737C22⋊C4—614no—
1738C22⋊C4—614no—
1739C22⋊C4—614no—
1740C22⋊C4—614no—
1741C22⋊C4—614no—
1742C22⋊C4—614no—
1743C22⋊C4—614no—
1744C22⋊C4C23×D6114yes—
1745C22⋊C4C23×D6114yes—
1746C22⋊C4C23×D6114yes—
1747C22⋊C4C23×D6114yes—
1748C22⋊C4C23×D6114yes—
1749C22⋊C4C23×D6114yes—
1750C22⋊C4C23×D6114yes—
1751C22⋊C4C23×D6114yes—
1752C42—614no—
1753C42—614no—
1754C42—614no—
1755C42—614no—
1756C42—614no—
1757C42—614no—
1758C42—614no—
1759C42—614no—
1760C42—614no—
1761C42C23×D6114yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—614no—
1774C23—612no—
1775C23—612no—
1776C23—612no—
1777C23—1228no—
1778C23—1228no—
1779C23—1222no—
1780C23—1222no—
1781C23—1228no—
1782C23—1222no—
1783C23—1222no—
1784C23—1222no—
1785C23—1222no—
1786C23—1222no—
1787C23—1222no—
1788C23—4888no—
1789C23—2444no—
1790C23—2444no—
1791C23—2444no—
1792C23—24416no—
1793C23#1451982214yes—
1794C23C24×D6112yes—
1795C23C24×D6112yes—
1796C23C24×D6112yes—
1797C23C24×D6112yes—
1798C23C24×D6111yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—2444no—
1802Q8—2444no—
1803Q8—2444no—
1804Q8—2444no—
1805Q8—2444no—
1806Q8—2444no—
1807Q8—2444no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—44no—
1812D4—44no—
1813D4—44no—
1814D4—1228no—
1815D4—1228no—
1816D4—1228no—
1817D4—2444no—
1818D4—2444no—
1819D4—2444no—
1820D4—2444no—
1821D4—2444no—
1822D4—2444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—612no—
1843C2×C4—612no—
1844C2×C4—612no—
1845C2×C4—612no—
1846C2×C4—612no—
1847C2×C4—612no—
1848C2×C4—612no—
1849C2×C4—612no—
1850C2×C4—612no—
1851C2×C4—612no—
1852C2×C4—612no—
1853C2×C4—612no—
1854C2×C4—612no—
1855C2×C4—1228no—
1856C2×C4—1228no—
1857C2×C4—1222no—
1858C2×C4—1222no—
1859C2×C4—1222no—
1860C2×C4—1222no—
1861C2×C4—1228no—
1862C2×C4—1222no—
1863C2×C4—1222no—
1864C2×C4—1222no—
1865C2×C4—1222no—
1866C2×C4—1222no—
1867C2×C4—1222no—
1868C2×C4—1222no—
1869C2×C4—1222no—
1870C2×C4—1222no—
1871C2×C4—2444no—
1872C2×C4—2444no—
1873C2×C4—2444no—
1874C2×C4—2444no—
1875C2×C4—2444no—
1876C2×C4—2444no—
1877C2×C4—2444no—
1878C2×C4—2444no—
1879C2×C4—2444no—
1880C2×C4—2444no—
1881C2×C4—2444no—
1882C2×C4—2444no—
1883C2×C4C24×D6112yes—
1884C2×C4C24×D6112yes—
1885C2×C4C24×D6112yes—
1886C2×C4C24×D6112yes—
1887C2×C4C24×D6112yes—
1888C2×C4C24×D6112yes—
1889C2×C4C24×D6112yes—
1890C2×C4C24×D6112yes—
1891C2×C4C24×D6112yes—
1892C2×C4C24×D6112yes—
1893C2×C4C24×D6112yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—614no—
1910C22—1228no—
1911C22—1222no—
1912C22—1222no—
1913C22—1222no—
1914C22—1222no—
1915C22—1222no—
1916C22—1222no—
1917C22—1222no—
1918C22—1222no—
1919C22—4888no—
1920C22—24416no—
1921C22—2444no—
1922C22—2444no—
1923C22C2×#1451982214yes—
1924C22C2×#1451982212yes—
1925C222−1+4×D6112yes—
1926C22#1684059812yes—
1927C22C25×D6111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—1222no—
1940C4—1222no—
1941C4—1222no—
1942C4—1222no—
1943C4—1222no—
1944C4—1222no—
1945C4—1222no—
1946C4—1222no—
1947C4—1222no—
1948C4—1222no—
1949C4—1222no—
1950C4—1222no—
1951C4—1222no—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—42no—
1956C2—1224no—
1957C2—2442no—
1958C2—2442no—
1959C2#2146002014yesdirect product factor
1960C2C22×#1451982211yescharacteristic
1961C2C2×2−1+4×D6111yescharacteristic
1962C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#547C2
socleC23×C61C25
hypercenterC2×#547D61
hypocenterC61C2×#3535
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #21460020C2direct (N × H)
2. C2×#16840513C2semidirect
3. C2×#16840511C2semidirect
4. C2×#16840509C2semidirect
5. C2×#16840507C2semidirect
6. C2×#16840467C2semidirect
7. C2×#16840466C2semidirect
8. C2×#16840449C2semidirect
9. C2×#16840447C2semidirect
10. C2×#16840441C2semidirect
11. C2×#16840441C2semidirect
12. C2×#16840440C2semidirect
13. C2×#16840435C2semidirect
14. C2×#16840411C2semidirect
15. C2×#16840401C2semidirect
16. C2×#16840400C2semidirect
17. C2×#16840389C2semidirect
18. C2×#16840387C2semidirect
19. C2×#16840382C2semidirect
20. C2×#16840380C2semidirect
21. C2×#16840359C2semidirect
22. C2×#16840357C2semidirect
23. C2×#16840355C2semidirect
24. C2×#16840354C2semidirect
25. C2×#16840354C2semidirect
26. C2×#16840344C2semidirect
27. C2×#16840334C2semidirect
28. C2×#16840333C2semidirect
29. C2×#16840269C2semidirect
30. C2×#123×D61C2semidirect
31. C22×#14519755C2semidirect
32. C2×C61×#547C2semidirect
34. C23×Dic122C22semidirect
37. #16840513C22semidirect
38. #16840511C22semidirect
39. #16840509C22semidirect
40. #16840507C22semidirect
41. #16840467C22semidirect
42. #16840466C22semidirect
43. #16840449C22semidirect
44. #16840447C22semidirect
45. #16840441C22semidirect
46. #16840441C22semidirect
47. #16840440C22semidirect
48. #16840435C22semidirect
49. #16840411C22semidirect
50. #16840401C22semidirect
51. #16840400C22semidirect
52. #16840389C22semidirect
53. #16840387C22semidirect
54. #16840382C22semidirect
55. #16840380C22semidirect
56. #16840359C22semidirect
57. #16840357C22semidirect
58. #16840355C22semidirect
59. #16840354C22semidirect
60. #16840354C22semidirect
61. #16840344C22semidirect
62. #16840334C22semidirect
63. #16840333C22semidirect
64. C2×#14519776C22semidirect
65. C2×#14519776C22semidirect
66. C2×#14519775C22semidirect
67. C2×#14519775C22semidirect
68. C2×#14519775C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519771C22semidirect
75. C2×#14519771C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519769C22semidirect
82. C2×#14519768C22semidirect
83. C2×#14519768C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519767C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
92. C2×#14519764C22semidirect
93. C2×#14519764C22semidirect
95. C2×#14519763C22semidirect
96. C2×#14519763C22semidirect
97. C2×#14519763C22semidirect
98. C2×#14519763C22semidirect
99. #16840269C22semidirect
104. C2×#14519761C22semidirect
108. C2×#14519760C22semidirect
109. C2×#14519760C22semidirect
110. C2×#14519760C22semidirect
115. C2×#14519759C22semidirect
118. C2×#14519758C22semidirect
119. C2×#14519758C22semidirect
120. C2×#14519758C22semidirect
121. C2×#14519758C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519758C22semidirect
124. #123×D61C22semidirect
126. C2×#14519757C22semidirect
127. C2×#14519756C22semidirect
128. C2×#14519756C22semidirect
129. C2×#14519756C22semidirect
130. C2×#14519756C22semidirect
131. C2×#14519756C22semidirect
132. C2×#14519756C22semidirect
133. C2×#14519756C22semidirect
140. C2×#14519755C22semidirect
141. C2×#14519755C22semidirect
142. C2×#14519755C22semidirect
143. C2×#14519755C22semidirect
144. C2×#14519755C22semidirect
145. C2×#14519755C22semidirect
146. C2×#14519755C22semidirect
147. C2×#14519755C22semidirect
148. C2×#14519754C22semidirect
149. C2×#14519754C22semidirect
150. C2×#14519754C22semidirect
151. C2×#14519754C22semidirect
152. C2×#14519754C22semidirect
153. C2×#14519754C22semidirect
156. C2×#14519753C22semidirect
157. C2×#14519753C22semidirect
163. C2×#14519749C22semidirect
165. C2×#14519748C22semidirect
170. C2×#14519742C22semidirect
171. C2×#14519742C22semidirect
173. C2×D4×Dic61C22semidirect
179. C2×C4×C22⋊D61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
184. C2×#14519736C22semidirect
185. C2×#14519736C22semidirect
187. C2×#14519735C22semidirect
189. C2×#14519733C22semidirect
190. C2×#14519733C22semidirect
191. C22×#11758196C22semidirect
192. C22×#11758196C22semidirect
193. C22×#11758196C22semidirect
204. C22×#41×C61C22semidirect
205. C61×#547C22semidirect
206. C2×C4⋊Q8×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
214. C2×#121×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C22×C4⋊C4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
231. C22×Dic122C23semidirect
260. #14519776C23semidirect
261. #14519776C23semidirect
262. #14519775C23semidirect
263. #14519775C23semidirect
264. #14519775C23semidirect
265. #14519772C23semidirect
266. #14519772C23semidirect
267. #14519772C23semidirect
268. #14519772C23semidirect
269. #14519772C23semidirect
270. #14519771C23semidirect
271. #14519771C23semidirect
272. #14519770C23semidirect
273. #14519770C23semidirect
274. #14519770C23semidirect
275. #14519770C23semidirect
276. #14519770C23semidirect
277. #14519769C23semidirect
278. #14519768C23semidirect
279. #14519768C23semidirect
280. #14519767C23semidirect
281. #14519767C23semidirect
282. #14519767C23semidirect
283. #14519767C23semidirect
284. #14519767C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
288. #14519764C23semidirect
289. #14519764C23semidirect
291. #14519763C23semidirect
292. #14519763C23semidirect
293. #14519763C23semidirect
294. #14519763C23semidirect
299. #14519761C23semidirect
303. #14519760C23semidirect
304. #14519760C23semidirect
305. #14519760C23semidirect
310. #14519759C23semidirect
313. #14519758C23semidirect
314. #14519758C23semidirect
315. #14519758C23semidirect
316. #14519758C23semidirect
317. #14519758C23semidirect
318. #14519758C23semidirect
320. #14519757C23semidirect
321. #14519756C23semidirect
322. #14519756C23semidirect
323. #14519756C23semidirect
324. #14519756C23semidirect
325. #14519756C23semidirect
326. #14519756C23semidirect
327. #14519756C23semidirect
334. #14519755C23semidirect
335. #14519755C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519755C23semidirect
340. #14519755C23semidirect
341. #14519754C23semidirect
342. #14519754C23semidirect
343. #14519754C23semidirect
344. #14519754C23semidirect
345. #14519754C23semidirect
346. #14519754C23semidirect
349. #14519753C23semidirect
350. #14519753C23semidirect
356. #14519749C23semidirect
358. #14519748C23semidirect
363. #14519742C23semidirect
364. #14519742C23semidirect
366. D4×Dic61C23semidirect
372. C4×C22⋊D61C23semidirect
373. C4×C22⋊D61C23semidirect
374. C4×C22⋊D61C23semidirect
377. #14519736C23semidirect
378. #14519736C23semidirect
380. #14519735C23semidirect
382. #14519733C23semidirect
383. #14519733C23semidirect
424. C2×#11758196C23semidirect
425. C2×#11758196C23semidirect
426. C2×#11758196C23semidirect
486. C2×#41×C61C23semidirect
503. C4⋊Q8×C61C23semidirect
505. #123×C61C23semidirect
506. #123×C61C23semidirect
507. #123×C61C23semidirect
508. C22⋊Q8×C61C23semidirect
509. C22⋊Q8×C61C23semidirect
511. #121×C61C23semidirect
512. C4×D4×C61C23semidirect
513. C4×D4×C61C23semidirect
524. C2×C4⋊C4×C61C23semidirect
525. C2×C4⋊C4×C61C23semidirect
985. C2×#547D61semidirect
1007. C2×C61#3535semidirect
1016. C22×#41C2×D61semidirect
1033. #547C2×D61semidirect
1053. C2×C4⋊Q8C2×D61semidirect
1111. C2×#123C2×D61semidirect
1112. C2×#123C2×D61semidirect
1113. C2×#123C2×D61semidirect
1147. C2×C22⋊Q8C2×D61semidirect
1148. C2×C22⋊Q8C2×D61semidirect
1158. C2×#121C2×D61semidirect
1177. C2×C4×D4C2×D61semidirect
1178. C2×C4×D4C2×D61semidirect
1191. C22×C4⋊C4C2×D61semidirect
1192. C22×C4⋊C4C2×D61semidirect
1200. C61C2×#3535semidirect
1208. C2×#41C22×D61semidirect
1267. C4⋊Q8C22×D61semidirect
1323. #123C22×D61semidirect
1324. #123C22×D61semidirect
1325. #123C22×D61semidirect
1358. C22⋊Q8C22×D61semidirect
1359. C22⋊Q8C22×D61semidirect
1369. #121C22×D61semidirect
1388. C4×D4C22×D61semidirect
1389. C4×D4C22×D61semidirect
1452. C2×C4⋊C4C22×D61semidirect
1453. C2×C4⋊C4C22×D61semidirect
1959. C2#21460020direct (N × H)

Maximal subgroups

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

subgroupindex
#214600202
C2×#168405132
C2×#168405112
C2×#168405092
C2×#168405072
C2×#168404672
C2×#168404662
C2×#168404492
C2×#168404472
C2×#168404412
C2×#168404402
C2×#168404352
C2×#168404112
C2×#168404012
C2×#168404002
C2×#168403892
C2×#168403872
C2×#168403822
C2×#168403802
C2×#168403592
C2×#168403572
C2×#168403552
C2×#168403542
C2×#168403442
C2×#168403342
C2×#168403332
C2×#168402692
C2×#123×D612
C22×#145197552
C2×C61×#5472
C2×#353561