Finite Group Databasebeta

← C2×#21460396 #30587488

Subgroups — C2×#21460396 #30587488

Order 15616.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460396C2132yesmaximal, direct product factor
2C2×#16840509C211yesmaximal, characteristic, complemented
3C2×#16840507C211yesmaximal, characteristic, complemented
4C2×#16840500C211yesmaximal, characteristic, complemented
5C2×#16840496C211yesmaximal, characteristic, complemented
6C2×#16840479C211yesmaximal, characteristic, complemented
7C2×#16840464C211yesmaximal, characteristic, complemented
8C2×#16840457C211yesmaximal, characteristic, complemented
9C2×#16840443C211yesmaximal, characteristic, complemented
10C2×#16840437C211yesmaximal, characteristic, complemented
11C2×#16840432C211yesmaximal, characteristic, complemented
12C2×#16840418C211yesmaximal, characteristic, complemented
13C2×#16840418C211yesmaximal, characteristic, complemented
14C2×#16840412C211yesmaximal, characteristic, complemented
15C2×#16840399C211yesmaximal, characteristic, complemented
16C2×#16840399C211yesmaximal, characteristic, complemented
17C2×#16840369C211yesmaximal, characteristic, complemented
18C2×#16840366C211yesmaximal, characteristic, complemented
19C2×#16840362C211yesmaximal, characteristic, complemented
20C2×#16840362C211yesmaximal, characteristic, complemented
21C2×#16840356C211yesmaximal, characteristic, complemented
22C2×#16840353C211yesmaximal, characteristic, complemented
23C2×#16840347C211yesmaximal, characteristic, complemented
24C2×#16840347C211yesmaximal, characteristic, complemented
25C2×#16840344C211yesmaximal, characteristic, complemented
26C2×#16840344C211yesmaximal, characteristic, complemented
27C2×#16840334C211yesmaximal, characteristic, complemented
28C2×#16840327C211yesmaximal, characteristic, complemented
29C2×#16840307C211yesmaximal, characteristic, complemented
30C2×#16840293C211yesmaximal, characteristic, complemented
31C2×#16840289C211yesmaximal, characteristic, complemented
32C2×C61×#560C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×#11758224C2211yescharacteristic
36C22×#11758224C2211yescharacteristic, complemented
37C23×Dic122C2211yescharacteristic, complemented
38C23×C22⋊D61C2211yescharacteristic
39#16840509C22116yescomplemented
40#16840507C22116yescomplemented
41#16840500C22116yescomplemented
42#16840496C22116yescomplemented
43#16840479C22116yescomplemented
44#16840464C22116yescomplemented
45#16840457C22116yescomplemented
46#16840443C22116yescomplemented
47#16840437C22116yescomplemented
48#16840432C22116yescomplemented
49#16840418C22116yescomplemented
50#16840418C22116yescomplemented
51#16840412C22116yescomplemented
52#16840399C22116yescomplemented
53#16840399C22116yescomplemented
54#16840369C22116yescomplemented
55#16840366C22116yescomplemented
56#16840362C22116yescomplemented
57#16840362C22116yescomplemented
58#16840356C22116yescomplemented
59#16840353C22116yescomplemented
60#16840347C22116yescomplemented
61#16840347C22116yescomplemented
62#16840344C22116yescomplemented
63#16840344C22116yescomplemented
64#16840334C22116yescomplemented
65#16840327C22116yescomplemented
66#16840307C22116yescomplemented
67C2×#14519776C2211yescharacteristic, complemented
68C2×#14519776C2211yescharacteristic, complemented
69C2×#14519773C2211yescharacteristic
70C2×#14519773C2211yescharacteristic
71C2×#14519773C2211yescharacteristic, complemented
72#16840293C22116yescomplemented
73#16840289C22116yescomplemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic
78C2×#14519770C2211yescharacteristic
79C2×#14519770C2211yescharacteristic
80C2×#14519770C2211yescharacteristic
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519770C2211yescharacteristic, complemented
83C2×#14519770C2211yescharacteristic, complemented
84C2×#14519769C2211yescharacteristic, complemented
85C2×#14519768C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519764C2211yescharacteristic
91C2×#14519764C2211yescharacteristic
92C2×#14519764C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic
94C2×#14519763C2211yescharacteristic
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic, complemented
99C2×#14519763C2211yescharacteristic, complemented
100C2×#14519763C2211yescharacteristic, complemented
101C2×#14519763C2211yescharacteristic, complemented
102C2×#14519762C2211yescharacteristic, complemented
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519761C2211yescharacteristic
106C2×#14519761C2211yescharacteristic
107C2×#14519761C2211yescharacteristic, complemented
108C2×#14519760C2211yescharacteristic, complemented
109C2×#14519760C2211yescharacteristic, complemented
110C2×#14519760C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic
112C2×#14519759C2211yescharacteristic
113C2×#14519759C2211yescharacteristic
114C2×#14519759C2211yescharacteristic, complemented
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519758C2211yescharacteristic
117C2×#14519758C2211yescharacteristic
118C2×#14519758C2211yescharacteristic, complemented
119C2×#14519758C2211yescharacteristic, complemented
120C2×#14519758C2211yescharacteristic, complemented
121C2×#14519758C2211yescharacteristic, complemented
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519757C2211yescharacteristic, complemented
124C2×#14519757C2211yescharacteristic, complemented
125C2×#14519756C2211yescharacteristic, complemented
126C2×#14519755C2211yescharacteristic, complemented
127C2×#14519755C2211yescharacteristic, complemented
128C2×#14519755C2211yescharacteristic, complemented
129C2×#14519754C2211yescharacteristic
130C2×#14519754C2211yescharacteristic
131C2×#14519754C2211yescharacteristic, complemented
132C2×#14519754C2211yescharacteristic, complemented
133C2×#14519754C2211yescharacteristic, complemented
134C2×#14519754C2211yescharacteristic, complemented
135C2×#14519754C2211yescharacteristic, complemented
136C2×#14519754C2211yescharacteristic, complemented
137C2×#14519751C2211yescharacteristic, complemented
138C2×#14519750C2211yescharacteristic
139C2×#14519750C2211yescharacteristic
140C2×#14519750C2211yescharacteristic, complemented
141C2×#14519749C2211yescharacteristic
142C2×#14519749C2211yescharacteristic
143C2×#14519749C2211yescharacteristic
144C2×#14519749C2211yescharacteristic
145C2×#14519749C2211yescharacteristic
146C2×#14519749C2211yescharacteristic
147C2×#14519749C2211yescharacteristic
148C2×#14519749C2211yescharacteristic, complemented
149C2×#14519749C2211yescharacteristic, complemented
150C2×#14519749C2211yescharacteristic, complemented
151C2×#14519749C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519748C2211yescharacteristic
156C2×#14519748C2211yescharacteristic
157C2×#14519748C2211yescharacteristic
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519747C2211yescharacteristic
162C2×#14519746C2211yescharacteristic
163C2×#14519745C2211yescharacteristic
164C2×#14519745C2211yescharacteristic
165C2×#14519745C2211yescharacteristic
166C2×C4×Dic122C2211yescharacteristic, complemented
167C2×#14519742C2211yescharacteristic, complemented
168C2×#14519742C2211yescharacteristic, complemented
169C2×#14519742C2211yescharacteristic, complemented
170C2×C4×D244C2211yescharacteristic, complemented
171C2×D4×Dic61C2211yescharacteristic
172C2×D4×Dic61C2211yescharacteristic
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×D4×Dic61C2211yescharacteristic, complemented
176C2×D4×Dic61C2211yescharacteristic, complemented
177C2×D4×Dic61C2211yescharacteristic, complemented
178C2×D4×Dic61C2211yescharacteristic, complemented
179C2×#14519739C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×C4×C22⋊D61C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic
185C2×#14519737C2211yescharacteristic
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519737C2211yescharacteristic, complemented
190C2×#14519735C2211yescharacteristic, complemented
191C2×#14519734C2211yescharacteristic, complemented
192C2×#14519733C2211yescharacteristic
193C2×#14519733C2211yescharacteristic, complemented
194C2×#14519733C2211yescharacteristic, complemented
195C2×#14519733C2211yescharacteristic, complemented
196C22×C4⋊Dic61C2211yescharacteristic, complemented
197C2×C4⋊C4×D61C2211yescharacteristic, complemented
198C22×C22⋊Dic61C2211yescharacteristic
199C22×C22⋊Dic61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C22×C4×Dic61C2211yescharacteristic, complemented
203C61×#560C22116yescomplemented
204C2×#127×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic
206C2×#126×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#121×C61C2211yescharacteristic
211C2×#121×C61C2211yescharacteristic
212C2×#121×C61C2211yescharacteristic
213C2×#121×C61C2211yescharacteristic, complemented
214C2×#121×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic, complemented
216C2×#120×C61C2211yescharacteristic
217C2×#120×C61C2211yescharacteristic
218C2×#120×C61C2211yescharacteristic
219C24×D61C2311yescharacteristic
220C2×#11758224—44no—
221C2×#11758224—44no—
222C2×#11758224—44no—
223C2×#11758224—44no—
224C2×#11758224C2318yes—
225C2×#11758224C2318yes—
226C2×#11758224C2318yes—
227C2×#11758224C2318yescomplemented
228C22×Dic122—44no—
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2318yescomplemented
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×C22⋊D61—44no—
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2311yescharacteristic
255C22×C22⋊D61C2318yes—
256C23×Dic61C2311yescharacteristic
257C23×Dic61C2311yescharacteristic
258C23×Dic61C2311yescharacteristic
259C23×Dic61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
261C23×Dic61C2311yescharacteristic
262C23×Dic61C2311yescharacteristic
263C23×Dic61C2311yescharacteristic
264C23×Dic61C2311yescharacteristic
265C23×Dic61C2311yescharacteristic
266C23×Dic61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2311yescharacteristic
271C22×C4×D61C2311yescharacteristic
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274#14519776C2318yescomplemented
275#14519776C2318yescomplemented
276#14519773C2318yes—
277#14519773C2318yes—
278#14519773C2318yescomplemented
279#14519772C2318yescomplemented
280#14519772C2318yescomplemented
281#14519772C2318yescomplemented
282#14519770C2318yes—
283#14519770C2318yes—
284#14519770C2318yes—
285#14519770C2318yes—
286#14519770C2318yescomplemented
287#14519770C2318yescomplemented
288#14519770C2318yescomplemented
289#14519769C2318yescomplemented
290#14519768C2318yescomplemented
291#14519768C2318yescomplemented
292#14519767C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519764C2318yes—
296#14519764C2318yes—
297#14519764C2318yescomplemented
298#14519763C2318yes—
299#14519763C2318yes—
300#14519763C2318yes—
301#14519763C2318yes—
302#14519763C2318yes—
303#14519763C2318yescomplemented
304#14519763C2318yescomplemented
305#14519763C2318yescomplemented
306#14519763C2318yescomplemented
307#14519762C2318yescomplemented
308#14519762C2318yescomplemented
309#14519762C2318yescomplemented
310#14519761C2318yes—
311#14519761C2318yes—
312#14519761C2318yescomplemented
313#14519760C2318yescomplemented
314#14519760C2318yescomplemented
315#14519760C2318yescomplemented
316#14519759C2318yes—
317#14519759C2318yes—
318#14519759C2318yes—
319#14519759C2318yescomplemented
320#14519759C2318yescomplemented
321#14519758C2318yes—
322#14519758C2318yes—
323#14519758C2318yescomplemented
324#14519758C2318yescomplemented
325#14519758C2318yescomplemented
326#14519758C2318yescomplemented
327#14519758C2318yescomplemented
328#14519757C2318yescomplemented
329#14519757C2318yescomplemented
330#14519756C2318yescomplemented
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519755C2318yescomplemented
334#14519754C2318yes—
335#14519754C2318yes—
336#14519754C2318yescomplemented
337#14519754C2318yescomplemented
338#14519754C2318yescomplemented
339#14519754C2318yescomplemented
340#14519754C2318yescomplemented
341#14519754C2318yescomplemented
342#14519751C2318yescomplemented
343#14519750C2318yes—
344#14519750C2318yes—
345#14519750C2318yescomplemented
346#14519749C2318yes—
347#14519749C2318yes—
348#14519749C2318yes—
349#14519749C2318yes—
350#14519749C2318yes—
351#14519749C2318yes—
352#14519749C2318yes—
353#14519749C2318yescomplemented
354#14519749C2318yescomplemented
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519748C2318yes—
361#14519748C2318yes—
362#14519748C2318yes—
363#14519748C2318yescomplemented
364#14519748C2318yescomplemented
365#14519748C2318yescomplemented
366#14519747C2318yes—
367#14519746C2318yes—
368#14519745C2318yes—
369#14519745C2318yes—
370#14519745C2318yes—
371C4×Dic122C2318yescomplemented
372#14519742C2318yescomplemented
373#14519742C2318yescomplemented
374#14519742C2318yescomplemented
375C4×D244C2318yescomplemented
376D4×Dic61C2318yes—
377D4×Dic61C2318yes—
378D4×Dic61C2318yescomplemented
379D4×Dic61C2318yescomplemented
380D4×Dic61C2318yescomplemented
381D4×Dic61C2318yescomplemented
382D4×Dic61C2318yescomplemented
383D4×Dic61C2318yescomplemented
384#14519739C2318yescomplemented
385C4×C22⋊D61C2318yescomplemented
386C4×C22⋊D61C2318yescomplemented
387C4×C22⋊D61C2318yescomplemented
388C4×C22⋊D61C2318yescomplemented
389#14519737C2318yes—
390#14519737C2318yes—
391#14519737C2318yescomplemented
392#14519737C2318yescomplemented
393#14519737C2318yescomplemented
394#14519737C2318yescomplemented
395#14519735C2318yescomplemented
396#14519734C2318yescomplemented
397#14519733C2318yes—
398#14519733C2318yescomplemented
399#14519733C2318yescomplemented
400#14519733C2318yescomplemented
401C2×C4⋊Dic61C2311yescharacteristic
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
404C2×C4⋊Dic61C2311yescharacteristic
405C2×C4⋊Dic61C2311yescharacteristic
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2311yescharacteristic
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2318yescomplemented
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C4⋊C4×D61C2318yescomplemented
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⋊Dic61C2318yes—
442C2×C22⋊Dic61C2318yes—
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×C22⋊Dic61C2311yescharacteristic
453C2×C22⋊Dic61C2311yescharacteristic
454C2×C22⋊Dic61C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C22⋊C4×D61C2318yes—
472C22⋊C4×D61C2318yes—
473C2×C4×Dic61C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2318yescomplemented
485C25×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C22×D4×C61C2311yescharacteristic
494C22×D4×C61C2311yescharacteristic
495C22×D4×C61C2311yescharacteristic
496C22×D4×C61C2311yescharacteristic
497C22×D4×C61C2311yescharacteristic
498C23×C4×C61C2311yescharacteristic
499C23×C4×C61C2311yescharacteristic
500C23×C4×C61C2311yescharacteristic
501#127×C61C2318yescomplemented
502#126×C61C2318yes—
503#126×C61C2318yescomplemented
504#123×C61C2318yescomplemented
505#123×C61C2318yescomplemented
506#123×C61C2318yescomplemented
507#121×C61C2318yes—
508#121×C61C2318yes—
509#121×C61C2318yes—
510#121×C61C2318yescomplemented
511#121×C61C2318yescomplemented
512#121×C61C2318yescomplemented
513#120×C61C2318yes—
514#120×C61C2318yes—
515#120×C61C2318yes—
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×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
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×C61—42no—
536C24×C61—42no—
537C24×C61—42no—
538C24×C61C2411yescharacteristic
539C24×C61C2411yescharacteristic
540C24×C61C2411yescharacteristic
541C24×C61C2411yescharacteristic
542C24×C61C2411yescharacteristic
543C24×C61C2411yescharacteristic
544C24×C61C2414yes—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61—42no—
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2411yescharacteristic
551C23×D61C2414yes—
552C2×D4×C61—42no—
553C2×D4×C61—42no—
554C2×D4×C61—42no—
555C2×D4×C61—42no—
556C2×D4×C61—42no—
557C2×D4×C61—42no—
558C2×D4×C61—42no—
559C2×D4×C61—42no—
560C2×D4×C61—42no—
561C2×D4×C61—42no—
562C2×D4×C61—42no—
563C2×D4×C61—42no—
564C2×D4×C61C2414yes—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C2×D4×C61C2414yes—
568C2×D4×C61C2414yes—
569C2×D4×C61C2414yes—
570C2×D4×C61C2414yes—
571C2×D4×C61C2414yes—
572C2×D4×C61C2414yes—
573C2×D4×C61C2414yes—
574C2×D4×C61C2414yes—
575C2×D4×C61C2414yes—
576C22×C4×C61—42no—
577C22×C4×C61—42no—
578C22×C4×C61—42no—
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2411yescharacteristic
585C22×C4×C61C2411yescharacteristic
586C22×C4×C61C2411yescharacteristic
587C22×C4×C61C2411yescharacteristic
588C22×C4×C61C2414yes—
589C22×C4×C61C2414yes—
590C22×C4×C61C2414yes—
591C2×C22⋊D61—24no—
592C2×C22⋊D61—24no—
593C2×C22⋊D61—24no—
594C2×C22⋊D61—416no—
595C2×C22⋊D61—42no—
596C2×C22⋊D61—42no—
597C2×C22⋊D61—42no—
598C2×C22⋊D61—42no—
599C2×C22⋊D61—42no—
600C2×C22⋊D61—42no—
601C2×C22⋊D61—42no—
602C2×C22⋊D61—42no—
603C2×C22⋊D61—42no—
604C2×C22⋊D61—42no—
605C2×C22⋊D61—42no—
606C2×C22⋊D61—42no—
607C2×C22⋊D61—42no—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C2×C22⋊D61C2414yes—
611C2×C22⋊D61C2414yes—
612C2×C22⋊D61C2414yes—
613C2×C22⋊D61C2414yes—
614C2×C22⋊D61C2414yes—
615C2×C22⋊D61C2414yes—
616C2×C22⋊D61C2414yes—
617C2×C22⋊D61C2414yes—
618C2×C22⋊D61C2414yes—
619C2×C22⋊D61C2414yes—
620C2×C22⋊D61C2414yes—
621C2×C22⋊D61C2414yes—
622C2×C22⋊D61C2414yes—
623C2×C22⋊D61C2414yes—
624C22×Dic61—24no—
625C22×Dic61—24no—
626C22×Dic61—24no—
627C22×Dic61—42no—
628C22×Dic61—42no—
629C22×Dic61—42no—
630C22×Dic61—42no—
631C22×Dic61—42no—
632C22×Dic61—42no—
633C22×Dic61—42no—
634C22×Dic61—42no—
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2411yescharacteristic
637C22×Dic61C2411yescharacteristic
638C22×Dic61C2411yescharacteristic
639C22×Dic61C2411yescharacteristic
640C22×Dic61C2411yescharacteristic
641C22×Dic61C2411yescharacteristic
642C22×Dic61C2411yescharacteristic
643C22×Dic61C2411yescharacteristic
644C22×Dic61C2414yes—
645C22×Dic61C2411yescharacteristic
646C22×Dic61C2411yescharacteristic
647C22×Dic61C2414yes—
648C22×Dic61C2414yes—
649C22×Dic61C2411yescharacteristic
650C22×Dic61C2414yes—
651C22×Dic61C2414yes—
652C22×Dic61C2414yes—
653C22×Dic61C2414yes—
654C22×Dic61C2414yes—
655C22×Dic61C2414yes—
656C22×Dic61C2414yes—
657C22×Dic61C2414yes—
658C22×Dic61C2411yescharacteristic
659#11758224—416no—
660#11758224—416no—
661#11758224—416no—
662#11758224—416no—
663C2×D244—42no—
664C2×D244—42no—
665C2×D244C2414yes—
666C2×D244C2414yes—
667C2×C4×D61—42no—
668C2×C4×D61—42no—
669C2×C4×D61—42no—
670C2×C4×D61—42no—
671C2×C4×D61—42no—
672C2×C4×D61—42no—
673C2×C4×D61—42no—
674C2×C4×D61C2414yes—
675C2×C4×D61C2414yes—
676C2×C4×D61C2414yes—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×C4×D61C2414yes—
681C2×Dic122—24no—
682C2×Dic122—24no—
683C2×Dic122—24no—
684C2×Dic122—416no—
685C2×Dic122—42no—
686C2×Dic122—42no—
687C2×Dic122—42no—
688C2×Dic122C2414yes—
689C2×Dic122C2414yes—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C2×Dic122C2414yes—
693C2×Dic122C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C22⋊C4×C61C2414yes—
701C22⋊C4×C61C2414yes—
702C22⋊C4×C61C2414yes—
703C22⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C42×C61C2414yes—
713C22⋊Dic61C2414yes—
714C22⋊Dic61C2414yes—
715C22⋊Dic61C2414yes—
716C22⋊Dic61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
726C22⋊Dic61C2414yes—
727C22⋊Dic61C2414yes—
728C22⋊Dic61C2414yes—
729C22⋊Dic61C2414yes—
730C22⋊Dic61C2414yes—
731C22⋊Dic61C2414yes—
732C22⋊Dic61C2414yes—
733#11758198C2414yes—
734#11758198C2414yes—
735#11758198C2414yes—
736#11758198C2414yes—
737#11758198C2414yes—
738#11758198C2414yes—
739#11758198C2414yes—
740#11758198C2414yes—
741#11758198C2414yes—
742#11758198C2414yes—
743#11758198C2414yes—
744#11758198C2414yes—
745#11758198C2414yes—
746#11758198C2414yes—
747#11758198C2414yes—
748#11758198C2414yes—
749C4⋊Dic61C2414yes—
750C4⋊Dic61C2414yes—
751C4⋊Dic61C2414yes—
752C4⋊Dic61C2414yes—
753C4⋊Dic61C2414yes—
754C4⋊Dic61C2414yes—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757C4⋊Dic61C2414yes—
758C4⋊Dic61C2414yes—
759#11758196C2414yes—
760#11758196C2414yes—
761#11758196C2414yes—
762#11758196C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773#11758196C2414yes—
774#11758196C2414yes—
775#11758196C2414yes—
776#11758196C2414yes—
777#11758196C2414yes—
778#11758196C2414yes—
779C4×Dic61C2414yes—
780C4×Dic61C2414yes—
781C4×Dic61C2414yes—
782C4×Dic61C2414yes—
783C4×Dic61C2414yes—
784C4×Dic61C2414yes—
785C4×Dic61C2414yes—
786C4×Dic61C2414yes—
787C4×Dic61C2414yes—
788C4×Dic61C2414yes—
789C4×Dic61C2414yes—
790C23×C61—22no—
791C23×C61—22no—
792C23×C61—22no—
793C23×C61—22no—
794C23×C61—22no—
795C23×C61—22no—
796C23×C61—22no—
797C23×C61—22no—
798C23×C61—22no—
799C23×C61—22no—
800C23×C61—22no—
801C23×C61—22no—
802C23×C61—22no—
803C23×C61—22no—
804C23×C61—22no—
805C23×C61—22no—
806C23×C61—22no—
807C23×C61—22no—
808C23×C61—44no—
809C23×C61—44no—
810C23×C61—44no—
811C23×C61—88no—
812C23×C61C2512yes—
813C23×C61C2512yes—
814C23×C61C2512yes—
815C23×C61C2512yes—
816C23×C61C2512yes—
817C23×C61C2512yes—
818C23×C61C2511yescharacteristic
819C22×D61—22no—
820C22×D61—22no—
821C22×D61—22no—
822C22×D61—22no—
823C22×D61—22no—
824C22×D61—22no—
825C22×D61—22no—
826C22×D61—22no—
827C22×D61—22no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—44no—
831C22×D61—88no—
832C22×D61C2512yes—
833C22×D61C2512yes—
834C22×D61C2512yes—
835D4×C61—44no—
836D4×C61—44no—
837D4×C61—44no—
838D4×C61—44no—
839D4×C61—44no—
840D4×C61—44no—
841D4×C61—44no—
842D4×C61—44no—
843D4×C61—44no—
844D4×C61—44no—
845D4×C61—44no—
846D4×C61—44no—
847C2×C4×C61—22no—
848C2×C4×C61—22no—
849C2×C4×C61—22no—
850C2×C4×C61—22no—
851C2×C4×C61—22no—
852C2×C4×C61—22no—
853C2×C4×C61—22no—
854C2×C4×C61—22no—
855C2×C4×C61—22no—
856C2×C4×C61—44no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61C2512yes—
860C2×C4×C61C2512yes—
861C2×C4×C61C2512yes—
862C2×C4×C61C2512yes—
863C2×C4×C61C2512yes—
864C2×C4×C61C2512yes—
865C2×C4×C61C2512yes—
866C2×C4×C61C2512yes—
867C2×C4×C61C2512yes—
868C22⋊D61—28no—
869C22⋊D61—28no—
870C22⋊D61—28no—
871C22⋊D61—44no—
872C22⋊D61—44no—
873C22⋊D61—44no—
874C22⋊D61—44no—
875C22⋊D61—44no—
876C22⋊D61—44no—
877C22⋊D61—44no—
878C22⋊D61—44no—
879C22⋊D61—44no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C2×Dic61—22no—
885C2×Dic61—22no—
886C2×Dic61—22no—
887C2×Dic61—22no—
888C2×Dic61—22no—
889C2×Dic61—22no—
890C2×Dic61—22no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—22no—
894C2×Dic61—22no—
895C2×Dic61—22no—
896C2×Dic61—28no—
897C2×Dic61—28no—
898C2×Dic61—28no—
899C2×Dic61—44no—
900C2×Dic61—44no—
901C2×Dic61—44no—
902C2×Dic61—44no—
903C2×Dic61—44no—
904C2×Dic61—44no—
905C2×Dic61—44no—
906C2×Dic61—44no—
907C2×Dic61H(5,𝔽2)14yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910C2×Dic61C2512yes—
911C2×Dic61C2512yes—
912C2×Dic61C2512yes—
913C2×Dic61C2512yes—
914C2×Dic61C2512yes—
915C2×Dic61C2512yes—
916C2×Dic61C2512yes—
917C2×Dic61C2512yes—
918C2×Dic61C2512yes—
919C2×Dic61C2512yes—
920C2×Dic61C2512yes—
921D244—44no—
922D244—44no—
923C4×D61—44no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930Dic122—28no—
931Dic122—28no—
932Dic122—28no—
933Dic122—44no—
934Dic122—44no—
935Dic122—44no—
936C2×#3562—611nomaximal, Sylow
937C22×C61—22no—
938C22×C61—22no—
939C22×C61—22no—
940C22×C61—22no—
941C22×C61—22no—
942C22×C61—22no—
943C22×C61—22no—
944C22×C61—22no—
945C22×C61—22no—
946C22×C61—22no—
947C22×C61—22no—
948C22×C61—22no—
949C22×C61—22no—
950C22×C61—22no—
951C22×C61—22no—
952C22×C61—22no—
953C22×C61—22no—
954C22×C61—22no—
955C22×C61—44no—
956C22×C61—44no—
957C22×C61—44no—
958C22×C61—44no—
959C22×C61—44no—
960C22×C61—44no—
961C22×C61—88no—
962C22×C61C2×H(5,𝔽2)12yes—
963C22×C61#58512yes—
964C22×C61#58512yes—
965C22×C61C2611yescharacteristic
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—22no—
973C2×D61—22no—
974C2×D61—22no—
975C2×D61—44no—
976C2×D61—44no—
977C2×D61—44no—
978C2×D61—88no—
979C4×C61—22no—
980C4×C61—22no—
981C4×C61—22no—
982C4×C61—22no—
983C4×C61—22no—
984C4×C61—22no—
985C4×C61—22no—
986C4×C61—22no—
987C4×C61—22no—
988Dic61—22no—
989Dic61—22no—
990Dic61—22no—
991Dic61—22no—
992Dic61—22no—
993Dic61—22no—
994Dic61—22no—
995Dic61—22no—
996Dic61—22no—
997Dic61—22no—
998Dic61—22no—
999Dic61—22no—
1000Dic61C2×H(5,𝔽2)14yes—
1001#3562—6132no—
1002C2×#562—611no—
1003C2×#562—611no—
1004C2×#560—611no—
1005C2×#560D6111yescharacteristic, complemented
1006C2×#559—611no—
1007C2×#556—611no—
1008C2×#553—611no—
1009C2×#553—611no—
1010C2×#551—611no—
1011C2×#551—611no—
1012C2×#550—611no—
1013C2×#548—611no—
1014C2×#548—611no—
1015C2×#547—611no—
1016C2×#546—611no—
1017C2×#546—611no—
1018C2×#541—611no—
1019C2×#540—611no—
1020C2×#540—611no—
1021C2×#540—611no—
1022C2×#539—611no—
1023C2×#539—611no—
1024C2×#538—611no—
1025C2×#538—611no—
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#536—611no—
1029C2×#535—611no—
1030C2×#532—611no—
1031C2×#529—611no—
1032C2×#529—611no—
1033C2×C61—42no—
1034C2×C61—42no—
1035C2×C61—42no—
1036C2×C61—42no—
1037C2×C61—42no—
1038C2×C61—42no—
1039C2×C61#356214yescomplemented
1040C2×C61C22×H(5,𝔽2)11yescharacteristic
1041C2×C61C2×#58511yescharacteristic
1042C2×C61C2×#58511yescharacteristic
1043D61—42no—
1044D61—42no—
1045D61—42no—
1046C22×#41—611no—
1047C22×#41—611no—
1048C22×#41—611no—
1049C22×#41—611no—
1050C23×Q8—611no—
1051C23×D4—611no—
1052#562—6116no—
1053#562—6116no—
1054#560—6116no—
1055#560C2×D61116yescomplemented
1056#559—6116no—
1057#556—6116no—
1058#553—6116no—
1059#553—6116no—
1060#551—6116no—
1061#551—6116no—
1062#550—6116no—
1063#548—6116no—
1064#548—6116no—
1065#547—6116no—
1066#546—6116no—
1067#546—6116no—
1068#541—6116no—
1069#540—6116no—
1070#540—6116no—
1071#540—6116no—
1072#539—6116no—
1073#539—6116no—
1074#538—6116no—
1075#538—6116no—
1076#538—6116no—
1077#538—6116no—
1078#536—6116no—
1079#535—6116no—
1080#532—6116no—
1081C2×C4⋊Q8—611no—
1082C2×C4⋊Q8—611no—
1083C2×#127—611no—
1084C2×#127—611no—
1085C2×#127—611no—
1086C2×#127C2×D6111yescharacteristic, complemented
1087#529—6116no—
1088#529—6116no—
1089C2×#126—611no—
1090C2×#126—611no—
1091C2×#126—611no—
1092C2×#126—611no—
1093C2×#126—611no—
1094C2×#126—611no—
1095C2×#126—611no—
1096C2×#126—611no—
1097C2×#126—611no—
1098C2×#126—611no—
1099C2×#126C2×D6111yescharacteristic
1100C2×#126C2×D6111yescharacteristic, complemented
1101C2×#125—611no—
1102C2×#125—611no—
1103C2×#125—611no—
1104C2×#125—611no—
1105C2×#125—611no—
1106C2×#125—611no—
1107C2×#124—611no—
1108C2×#124—611no—
1109C2×#124—611no—
1110C2×#124—611no—
1111C2×#124—611no—
1112C2×#124—611no—
1113C2×#124—611no—
1114C2×#124—611no—
1115C2×#124—611no—
1116C2×#124—611no—
1117C2×#124—611no—
1118C2×#124—611no—
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123—611no—
1122C2×#123—611no—
1123C2×#123—611no—
1124C2×#123—611no—
1125C2×#123—611no—
1126C2×#123—611no—
1127C2×#123—611no—
1128C2×#123—611no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—611no—
1138C2×#123—611no—
1139C2×#123—611no—
1140C2×#123C2×D6111yescharacteristic, complemented
1141C2×#123C2×D6111yescharacteristic, complemented
1142C2×#123C2×D6111yescharacteristic, complemented
1143C2×C22⋊Q8—611no—
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊Q8—611no—
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8—611no—
1154C2×C22⋊Q8—611no—
1155C2×C22⋊Q8—611no—
1156C2×C22⋊Q8—611no—
1157C2×#121—611no—
1158C2×#121—611no—
1159C2×#121—611no—
1160C2×#121—611no—
1161C2×#121—611no—
1162C2×#121—611no—
1163C2×#121—611no—
1164C2×#121—611no—
1165C2×#121—611no—
1166C2×#121—611no—
1167C2×#121—611no—
1168C2×#121—611no—
1169C2×#121—611no—
1170C2×#121—611no—
1171C2×#121—611no—
1172C2×#121—611no—
1173C2×#121—611no—
1174C2×#121—611no—
1175C2×#121—611no—
1176C2×#121—611no—
1177C2×#121—611no—
1178C2×#121—611no—
1179C2×#121—611no—
1180C2×#121—611no—
1181C2×#121C2×D6111yescharacteristic
1182C2×#121C2×D6111yescharacteristic
1183C2×#121C2×D6111yescharacteristic
1184C2×#121C2×D6111yescharacteristic, complemented
1185C2×#121C2×D6111yescharacteristic, complemented
1186C2×#121C2×D6111yescharacteristic, complemented
1187C2×#120—611no—
1188C2×#120—611no—
1189C2×#120—611no—
1190C2×#120—611no—
1191C2×#120—611no—
1192C2×#120C2×D6111yescharacteristic
1193C2×#120C2×D6111yescharacteristic
1194C2×#120C2×D6111yescharacteristic
1195C2×C4×Q8—611no—
1196C2×C4×Q8—611no—
1197C2×C4×Q8—611no—
1198C2×C4×Q8—611no—
1199C2×C4×D4—611no—
1200C2×C4×D4—611no—
1201C2×C4×D4—611no—
1202C2×C4×D4—611no—
1203C2×C4×D4—611no—
1204C2×C4×D4—611no—
1205C2×C4×D4—611no—
1206C2×C4×D4—611no—
1207C2×C4×D4—611no—
1208C2×C4×D4—611no—
1209C2×C4×D4—611no—
1210C2×C4×D4—611no—
1211C2×C4×D4—611no—
1212C2×C4×D4—611no—
1213C2×C4×D4—611no—
1214C2×C4×D4—611no—
1215C2×C4×D4—611no—
1216C2×C4×D4—611no—
1217C2×C4×D4—611no—
1218C2×C4×D4—611no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C2×#117—611no—
1225C22×C4⋊C4—611no—
1226C22×C4⋊C4—611no—
1227C22×C22⋊C4—611no—
1228C22×C22⋊C4—611no—
1229C22×C22⋊C4—611no—
1230C22×C22⋊C4—611no—
1231C22×C42—611no—
1232C61C2×#356211yescharacteristic, complemented, Sylow
1233C25—611no—
1234C25C22×D6111yescharacteristic
1235C2×#41—618no—
1236C2×#41—618no—
1237C2×#41—618no—
1238C2×#41—618no—
1239C2×#41—2444no—
1240C2×#41—2444no—
1241C2×#41—2444no—
1242C2×#41—2444no—
1243C22×Q8—611no—
1244C22×Q8—611no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8—611no—
1249C22×Q8—618no—
1250C22×Q8—2444no—
1251C22×D4—611no—
1252C22×D4—611no—
1253C22×D4—611no—
1254C22×D4—611no—
1255C22×D4—611no—
1256C22×D4—611no—
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—611no—
1261C22×D4—611no—
1262C22×D4—611no—
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—618no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—2444no—
1271C22×D4C22×D6111yescharacteristic
1272C22×D4C22×D6111yescharacteristic
1273C22×D4C22×D6111yescharacteristic
1274C22×D4C22×D6111yescharacteristic
1275C22×D4C22×D6111yescharacteristic
1276C22×D4C22×D6111yescharacteristic
1277C22×D4C22×D6111yescharacteristic
1278C22×D4C22×D6111yescharacteristic
1279C22×D4C22×D6111yescharacteristic
1280C22×D4C22×D6111yescharacteristic
1281C22×D4C22×D6111yescharacteristic
1282C22×D4C22×D6111yescharacteristic
1283C23×C4—611no—
1284C23×C4—611no—
1285C23×C4—611no—
1286C23×C4—611no—
1287C23×C4—611no—
1288C23×C4—611no—
1289C23×C4—611no—
1290C23×C4—611no—
1291C23×C4—611no—
1292C23×C4—611no—
1293C23×C4—611no—
1294C23×C4—611no—
1295C23×C4—611no—
1296C23×C4—611no—
1297C23×C4—611no—
1298C23×C4—611no—
1299C23×C4—611no—
1300C23×C4—611no—
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8—618no—
1306#127—618no—
1307#127—618no—
1308#127—618no—
1309#127C22×D6118yescomplemented
1310#126—618no—
1311#126—618no—
1312#126—618no—
1313#126—618no—
1314#126—618no—
1315#126—618no—
1316#126—618no—
1317#126—618no—
1318#126—618no—
1319#126—618no—
1320#126C22×D6118yes—
1321#126C22×D6118yescomplemented
1322#125—618no—
1323#125—618no—
1324#125—618no—
1325#125—618no—
1326#125—618no—
1327#125—618no—
1328#124—618no—
1329#124—618no—
1330#124—618no—
1331#124—618no—
1332#124—618no—
1333#124—618no—
1334#124—618no—
1335#124—618no—
1336#124—618no—
1337#124—618no—
1338#124—618no—
1339#124—618no—
1340#123—618no—
1341#123—618no—
1342#123—618no—
1343#123—618no—
1344#123—618no—
1345#123—618no—
1346#123—618no—
1347#123—618no—
1348#123—618no—
1349#123—618no—
1350#123—618no—
1351#123—618no—
1352#123—618no—
1353#123—618no—
1354#123—618no—
1355#123—618no—
1356#123—618no—
1357#123—618no—
1358#123—618no—
1359#123—618no—
1360#123—618no—
1361#123C22×D6118yescomplemented
1362#123C22×D6118yescomplemented
1363#123C22×D6118yescomplemented
1364C22⋊Q8—618no—
1365C22⋊Q8—618no—
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378#121—618no—
1379#121—618no—
1380#121—618no—
1381#121—618no—
1382#121—618no—
1383#121—618no—
1384#121—618no—
1385#121—618no—
1386#121—618no—
1387#121—618no—
1388#121—618no—
1389#121—618no—
1390#121—618no—
1391#121—618no—
1392#121—618no—
1393#121—618no—
1394#121—618no—
1395#121—618no—
1396#121—618no—
1397#121—618no—
1398#121—618no—
1399#121—618no—
1400#121—618no—
1401#121—618no—
1402#121C22×D6118yes—
1403#121C22×D6118yes—
1404#121C22×D6118yes—
1405#121C22×D6118yescomplemented
1406#121C22×D6118yescomplemented
1407#121C22×D6118yescomplemented
1408#120—618no—
1409#120—618no—
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120C22×D6118yes—
1414#120C22×D6118yes—
1415#120C22×D6118yes—
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×Q8—618no—
1419C4×Q8—618no—
1420C4×D4—618no—
1421C4×D4—618no—
1422C4×D4—618no—
1423C4×D4—618no—
1424C4×D4—618no—
1425C4×D4—618no—
1426C4×D4—618no—
1427C4×D4—618no—
1428C4×D4—618no—
1429C4×D4—618no—
1430C4×D4—618no—
1431C4×D4—618no—
1432C4×D4—618no—
1433C4×D4—618no—
1434C4×D4—618no—
1435C4×D4—618no—
1436C4×D4—618no—
1437C4×D4—618no—
1438C4×D4—618no—
1439C4×D4—618no—
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443#117—618no—
1444#117—618no—
1445#117—618no—
1446C2×C4⋊C4—611no—
1447C2×C4⋊C4—611no—
1448C2×C4⋊C4—611no—
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—611no—
1451C2×C4⋊C4—611no—
1452C2×C4⋊C4—618no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—611no—
1456C2×C4⋊C4—611no—
1457C2×C4⋊C4—611no—
1458C2×C4⋊C4—611no—
1459C2×C4⋊C4—611no—
1460C2×C4⋊C4—611no—
1461C2×C4⋊C4—611no—
1462C2×C4⋊C4—611no—
1463C2×C4⋊C4—611no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—611no—
1466C2×C4⋊C4—611no—
1467C2×C4⋊C4—611no—
1468C2×C4⋊C4—611no—
1469C2×C4⋊C4—611no—
1470C2×C4⋊C4—611no—
1471C2×C4⋊C4—611no—
1472C2×C4⋊C4—611no—
1473C2×C4⋊C4—611no—
1474C2×C4⋊C4—611no—
1475C2×C4⋊C4—611no—
1476C2×C4⋊C4—611no—
1477C2×C4⋊C4—618no—
1478C2×C4⋊C4C22×D6111yescharacteristic
1479C2×C4⋊C4C22×D6111yescharacteristic
1480C2×C4⋊C4C22×D6111yescharacteristic
1481C2×C4⋊C4C22×D6111yescharacteristic
1482C2×C4⋊C4C22×D6111yescharacteristic
1483C2×C4⋊C4C22×D6111yescharacteristic
1484C2×C22⋊C4—611no—
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—618no—
1493C2×C22⋊C4—618no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—611no—
1496C2×C22⋊C4—611no—
1497C2×C22⋊C4—611no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—611no—
1503C2×C22⋊C4—611no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—611no—
1509C2×C22⋊C4—611no—
1510C2×C22⋊C4—611no—
1511C2×C22⋊C4—611no—
1512C2×C22⋊C4—611no—
1513C2×C22⋊C4—611no—
1514C2×C22⋊C4—611no—
1515C2×C22⋊C4—611no—
1516C2×C22⋊C4—611no—
1517C2×C22⋊C4—611no—
1518C2×C22⋊C4—611no—
1519C2×C22⋊C4—611no—
1520C2×C22⋊C4—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—618no—
1523C2×C22⋊C4—618no—
1524C2×C22⋊C4C22×D6111yescharacteristic
1525C2×C22⋊C4C22×D6111yescharacteristic
1526C2×C22⋊C4C22×D6111yescharacteristic
1527C2×C22⋊C4C22×D6111yescharacteristic
1528C2×C22⋊C4C22×D6111yescharacteristic
1529C2×C22⋊C4C22×D6111yescharacteristic
1530C2×C22⋊C4C22×D6111yescharacteristic
1531C2×C22⋊C4C22×D6111yescharacteristic
1532C2×C22⋊C4C22×D6111yescharacteristic
1533C2×C22⋊C4C22×D6111yescharacteristic
1534C2×C22⋊C4C22×D6111yescharacteristic
1535C2×C22⋊C4C22×D6111yescharacteristic
1536C2×C42—611no—
1537C2×C42—611no—
1538C2×C42—611no—
1539C2×C42—611no—
1540C2×C42—611no—
1541C2×C42—611no—
1542C2×C42—611no—
1543C2×C42—611no—
1544C2×C42—611no—
1545C2×C42—611no—
1546C2×C42—611no—
1547C2×C42—618no—
1548C2×C42C22×D6111yescharacteristic
1549C24—42no—
1550C24—42no—
1551C24—42no—
1552C24—611no—
1553C24—611no—
1554C24—611no—
1555C24—614no—
1556C24—2442no—
1557C24—2442no—
1558C24—2442no—
1559C24C23×D6111yescharacteristic
1560C24C23×D6111yescharacteristic
1561C24C23×D6111yescharacteristic
1562C24C23×D6111yescharacteristic
1563C24C23×D6111yescharacteristic
1564C24C23×D6111yescharacteristic
1565C24C23×D6114yes—
1566#41—24416no—
1567#41—24416no—
1568#41—24416no—
1569#41—24416no—
1570C2×Q8—614no—
1571C2×Q8—614no—
1572C2×Q8—614no—
1573C2×Q8—614no—
1574C2×Q8—614no—
1575C2×Q8—614no—
1576C2×Q8—1224no—
1577C2×Q8—1224no—
1578C2×Q8—1224no—
1579C2×Q8—2442no—
1580C2×Q8—2442no—
1581C2×Q8—2442no—
1582C2×Q8—24416no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—614no—
1596C2×D4—614no—
1597C2×D4—614no—
1598C2×D4—614no—
1599C2×D4—614no—
1600C2×D4—614no—
1601C2×D4—614no—
1602C2×D4—614no—
1603C2×D4—614no—
1604C2×D4—614no—
1605C2×D4—614no—
1606C2×D4—614no—
1607C2×D4—614no—
1608C2×D4—614no—
1609C2×D4—614no—
1610C2×D4—614no—
1611C2×D4—614no—
1612C2×D4—614no—
1613C2×D4—1224no—
1614C2×D4—1224no—
1615C2×D4—1224no—
1616C2×D4—2442no—
1617C2×D4—2442no—
1618C2×D4—24416no—
1619C2×D4—2442no—
1620C2×D4—2442no—
1621C2×D4—2442no—
1622C2×D4—2442no—
1623C2×D4—2442no—
1624C2×D4—2442no—
1625C2×D4—2442no—
1626C2×D4—2442no—
1627C2×D4—2442no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4C23×D6114yes—
1633C2×D4C23×D6114yes—
1634C2×D4C23×D6114yes—
1635C2×D4C23×D6114yes—
1636C2×D4C23×D6114yes—
1637C2×D4C23×D6114yes—
1638C2×D4C23×D6114yes—
1639C2×D4C23×D6114yes—
1640C2×D4C23×D6114yes—
1641C2×D4C23×D6114yes—
1642C2×D4C23×D6114yes—
1643C2×D4C23×D6114yes—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—611no—
1648C22×C4—614no—
1649C22×C4—614no—
1650C22×C4—614no—
1651C22×C4—611no—
1652C22×C4—611no—
1653C22×C4—611no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—611no—
1657C22×C4—611no—
1658C22×C4—611no—
1659C22×C4—611no—
1660C22×C4—611no—
1661C22×C4—611no—
1662C22×C4—611no—
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—1224no—
1679C22×C4—1224no—
1680C22×C4—1224no—
1681C22×C4—2442no—
1682C22×C4—2442no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—2442no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—2442no—
1691C22×C4—2442no—
1692C22×C4—2442no—
1693C22×C4—2442no—
1694C22×C4—2442no—
1695C22×C4—2442no—
1696C22×C4C23×D6111yescharacteristic
1697C22×C4C23×D6111yescharacteristic
1698C22×C4C23×D6111yescharacteristic
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6111yescharacteristic
1703C22×C4C23×D6111yescharacteristic
1704C22×C4C23×D6111yescharacteristic
1705C22×C4C23×D6114yes—
1706C22×C4C23×D6114yes—
1707C22×C4C23×D6114yes—
1708C4⋊C4—614no—
1709C4⋊C4—614no—
1710C4⋊C4—614no—
1711C4⋊C4—614no—
1712C4⋊C4—614no—
1713C4⋊C4—614no—
1714C4⋊C4—614no—
1715C4⋊C4—614no—
1716C4⋊C4—614no—
1717C4⋊C4—614no—
1718C4⋊C4—614no—
1719C4⋊C4—614no—
1720C4⋊C4—614no—
1721C4⋊C4—614no—
1722C4⋊C4—614no—
1723C4⋊C4—614no—
1724C4⋊C4—614no—
1725C4⋊C4—614no—
1726C4⋊C4—614no—
1727C4⋊C4—614no—
1728C4⋊C4—614no—
1729C4⋊C4—614no—
1730C4⋊C4—614no—
1731C4⋊C4—614no—
1732C4⋊C4—614no—
1733C4⋊C4—614no—
1734C4⋊C4—614no—
1735C4⋊C4—614no—
1736C4⋊C4—614no—
1737C4⋊C4—614no—
1738C4⋊C4C23×D6114yes—
1739C4⋊C4C23×D6114yes—
1740C4⋊C4C23×D6114yes—
1741C4⋊C4C23×D6114yes—
1742C4⋊C4C23×D6114yes—
1743C4⋊C4C23×D6114yes—
1744C22⋊C4—614no—
1745C22⋊C4—614no—
1746C22⋊C4—614no—
1747C22⋊C4—614no—
1748C22⋊C4—614no—
1749C22⋊C4—614no—
1750C22⋊C4—614no—
1751C22⋊C4—614no—
1752C22⋊C4—614no—
1753C22⋊C4—614no—
1754C22⋊C4—614no—
1755C22⋊C4—614no—
1756C22⋊C4—614no—
1757C22⋊C4—614no—
1758C22⋊C4—614no—
1759C22⋊C4—614no—
1760C22⋊C4—614no—
1761C22⋊C4—614no—
1762C22⋊C4—614no—
1763C22⋊C4—614no—
1764C22⋊C4—614no—
1765C22⋊C4—614no—
1766C22⋊C4—614no—
1767C22⋊C4—614no—
1768C22⋊C4—614no—
1769C22⋊C4—614no—
1770C22⋊C4—614no—
1771C22⋊C4—614no—
1772C22⋊C4—614no—
1773C22⋊C4—614no—
1774C22⋊C4—614no—
1775C22⋊C4—614no—
1776C22⋊C4—614no—
1777C22⋊C4—614no—
1778C22⋊C4—614no—
1779C22⋊C4—614no—
1780C22⋊C4C23×D6114yes—
1781C22⋊C4C23×D6114yes—
1782C22⋊C4C23×D6114yes—
1783C22⋊C4C23×D6114yes—
1784C22⋊C4C23×D6114yes—
1785C22⋊C4C23×D6114yes—
1786C22⋊C4C23×D6114yes—
1787C22⋊C4C23×D6114yes—
1788C22⋊C4C23×D6114yes—
1789C22⋊C4C23×D6114yes—
1790C22⋊C4C23×D6114yes—
1791C22⋊C4C23×D6114yes—
1792C42—614no—
1793C42—614no—
1794C42—614no—
1795C42—614no—
1796C42—614no—
1797C42—614no—
1798C42—614no—
1799C42—614no—
1800C42—614no—
1801C42—614no—
1802C42—614no—
1803C42C23×D6114yes—
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—88no—
1826C23—612no—
1827C23—612no—
1828C23—612no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—1222no—
1837C23—1222no—
1838C23—4888no—
1839C23—2444no—
1840C23—2444no—
1841C23—2444no—
1842C23C24×D6112yes—
1843C23C24×D6112yes—
1844C23C24×D6112yes—
1845C23C24×D6112yes—
1846C23C24×D6112yes—
1847C23C24×D6112yes—
1848C23C24×D6111yescharacteristic
1849Q8—1228no—
1850Q8—1228no—
1851Q8—1228no—
1852Q8—2444no—
1853Q8—2444no—
1854Q8—2444no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—1228no—
1868D4—1228no—
1869D4—1228no—
1870D4—2444no—
1871D4—2444no—
1872D4—2444no—
1873D4—2444no—
1874D4—2444no—
1875D4—2444no—
1876D4—2444no—
1877D4—2444no—
1878D4—2444no—
1879D4—2444no—
1880D4—2444no—
1881D4—2444no—
1882D4—2444no—
1883D4—2444no—
1884D4—2444no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—614no—
1898C2×C4—612no—
1899C2×C4—612no—
1900C2×C4—612no—
1901C2×C4—612no—
1902C2×C4—612no—
1903C2×C4—612no—
1904C2×C4—612no—
1905C2×C4—612no—
1906C2×C4—612no—
1907C2×C4—612no—
1908C2×C4—612no—
1909C2×C4—612no—
1910C2×C4—612no—
1911C2×C4—1228no—
1912C2×C4—1228no—
1913C2×C4—1228no—
1914C2×C4—1222no—
1915C2×C4—1222no—
1916C2×C4—1222no—
1917C2×C4—1222no—
1918C2×C4—1222no—
1919C2×C4—1222no—
1920C2×C4—1222no—
1921C2×C4—1222no—
1922C2×C4—1222no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—1222no—
1926C2×C4—2444no—
1927C2×C4—2444no—
1928C2×C4—2444no—
1929C2×C4—2444no—
1930C2×C4—2444no—
1931C2×C4—2444no—
1932C2×C4—2444no—
1933C2×C4—2444no—
1934C2×C4—2444no—
1935C2×C4—2444no—
1936C2×C4—2444no—
1937C2×C4—2444no—
1938C2×C4—2444no—
1939C2×C4—2444no—
1940C2×C4—2444no—
1941C2×C4C24×D6112yes—
1942C2×C4C24×D6112yes—
1943C2×C4C24×D6112yes—
1944C2×C4C24×D6112yes—
1945C2×C4C24×D6112yes—
1946C2×C4C24×D6112yes—
1947C2×C4C24×D6112yes—
1948C2×C4C24×D6112yes—
1949C2×C4C24×D6112yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—44no—
1974C22—88no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—1222no—
1984C22—4888no—
1985C22—2444no—
1986C22—2444no—
1987C22—2444no—
1988C22H(5,𝔽2)×D6112yes—
1989C22#1684059712yes—
1990C22#1684059712yes—
1991C22C25×D6111yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—614no—
2002C4—1222no—
2003C4—1222no—
2004C4—1222no—
2005C4—1222no—
2006C4—1222no—
2007C4—1222no—
2008C4—1222no—
2009C4—1222no—
2010C4—1222no—
2011C4—1222no—
2012C4—1222no—
2013C4—1222no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—42no—
2019C2—42no—
2020C2—2442no—
2021C2—2442no—
2022C2—2442no—
2023C2#2146039614yesdirect product factor
2024C2C2×H(5,𝔽2)×D6111yescharacteristic
2025C2C2×#1684059711yescharacteristic
2026C2C2×#1684059711yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#560C2
socleC23×C61C25
hypercenterC2×#560D61
hypocenterC61C2×#3562
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #21460396C2direct (N × H)
2. C2×#16840509C2semidirect
3. C2×#16840507C2semidirect
4. C2×#16840500C2semidirect
5. C2×#16840496C2semidirect
6. C2×#16840479C2semidirect
7. C2×#16840464C2semidirect
8. C2×#16840457C2semidirect
9. C2×#16840443C2semidirect
10. C2×#16840437C2semidirect
11. C2×#16840432C2semidirect
12. C2×#16840418C2semidirect
13. C2×#16840418C2semidirect
14. C2×#16840412C2semidirect
15. C2×#16840399C2semidirect
16. C2×#16840399C2semidirect
17. C2×#16840369C2semidirect
18. C2×#16840366C2semidirect
19. C2×#16840362C2semidirect
20. C2×#16840362C2semidirect
21. C2×#16840356C2semidirect
22. C2×#16840353C2semidirect
23. C2×#16840347C2semidirect
24. C2×#16840347C2semidirect
25. C2×#16840344C2semidirect
26. C2×#16840344C2semidirect
27. C2×#16840334C2semidirect
28. C2×#16840327C2semidirect
29. C2×#16840307C2semidirect
30. C2×#16840293C2semidirect
31. C2×#16840289C2semidirect
32. C2×C61×#560C2semidirect
36. C22×#11758224C22semidirect
37. C23×Dic122C22semidirect
39. #16840509C22semidirect
40. #16840507C22semidirect
41. #16840500C22semidirect
42. #16840496C22semidirect
43. #16840479C22semidirect
44. #16840464C22semidirect
45. #16840457C22semidirect
46. #16840443C22semidirect
47. #16840437C22semidirect
48. #16840432C22semidirect
49. #16840418C22semidirect
50. #16840418C22semidirect
51. #16840412C22semidirect
52. #16840399C22semidirect
53. #16840399C22semidirect
54. #16840369C22semidirect
55. #16840366C22semidirect
56. #16840362C22semidirect
57. #16840362C22semidirect
58. #16840356C22semidirect
59. #16840353C22semidirect
60. #16840347C22semidirect
61. #16840347C22semidirect
62. #16840344C22semidirect
63. #16840344C22semidirect
64. #16840334C22semidirect
65. #16840327C22semidirect
66. #16840307C22semidirect
67. C2×#14519776C22semidirect
68. C2×#14519776C22semidirect
71. C2×#14519773C22semidirect
72. #16840293C22semidirect
73. #16840289C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519772C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519770C22semidirect
83. C2×#14519770C22semidirect
84. C2×#14519769C22semidirect
85. C2×#14519768C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
92. C2×#14519764C22semidirect
98. C2×#14519763C22semidirect
99. C2×#14519763C22semidirect
100. C2×#14519763C22semidirect
101. C2×#14519763C22semidirect
102. C2×#14519762C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
107. C2×#14519761C22semidirect
108. C2×#14519760C22semidirect
109. C2×#14519760C22semidirect
110. C2×#14519760C22semidirect
114. C2×#14519759C22semidirect
115. C2×#14519759C22semidirect
118. C2×#14519758C22semidirect
119. C2×#14519758C22semidirect
120. C2×#14519758C22semidirect
121. C2×#14519758C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519757C22semidirect
124. C2×#14519757C22semidirect
125. C2×#14519756C22semidirect
126. C2×#14519755C22semidirect
127. C2×#14519755C22semidirect
128. C2×#14519755C22semidirect
131. C2×#14519754C22semidirect
132. C2×#14519754C22semidirect
133. C2×#14519754C22semidirect
134. C2×#14519754C22semidirect
135. C2×#14519754C22semidirect
136. C2×#14519754C22semidirect
137. C2×#14519751C22semidirect
140. C2×#14519750C22semidirect
148. C2×#14519749C22semidirect
149. C2×#14519749C22semidirect
150. C2×#14519749C22semidirect
151. C2×#14519749C22semidirect
152. C2×#14519749C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
158. C2×#14519748C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
166. C2×C4×Dic122C22semidirect
167. C2×#14519742C22semidirect
168. C2×#14519742C22semidirect
169. C2×#14519742C22semidirect
170. C2×C4×D244C22semidirect
173. C2×D4×Dic61C22semidirect
174. C2×D4×Dic61C22semidirect
175. C2×D4×Dic61C22semidirect
176. C2×D4×Dic61C22semidirect
177. C2×D4×Dic61C22semidirect
178. C2×D4×Dic61C22semidirect
179. C2×#14519739C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×C4×C22⋊D61C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519737C22semidirect
190. C2×#14519735C22semidirect
191. C2×#14519734C22semidirect
193. C2×#14519733C22semidirect
194. C2×#14519733C22semidirect
195. C2×#14519733C22semidirect
196. C22×C4⋊Dic61C22semidirect
197. C2×C4⋊C4×D61C22semidirect
202. C22×C4×Dic61C22semidirect
203. C61×#560C22semidirect
204. C2×#127×C61C22semidirect
206. C2×#126×C61C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
213. C2×#121×C61C22semidirect
214. C2×#121×C61C22semidirect
215. C2×#121×C61C22semidirect
227. C2×#11758224C23semidirect
235. C22×Dic122C23semidirect
274. #14519776C23semidirect
275. #14519776C23semidirect
278. #14519773C23semidirect
279. #14519772C23semidirect
280. #14519772C23semidirect
281. #14519772C23semidirect
286. #14519770C23semidirect
287. #14519770C23semidirect
288. #14519770C23semidirect
289. #14519769C23semidirect
290. #14519768C23semidirect
291. #14519768C23semidirect
292. #14519767C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
297. #14519764C23semidirect
303. #14519763C23semidirect
304. #14519763C23semidirect
305. #14519763C23semidirect
306. #14519763C23semidirect
307. #14519762C23semidirect
308. #14519762C23semidirect
309. #14519762C23semidirect
312. #14519761C23semidirect
313. #14519760C23semidirect
314. #14519760C23semidirect
315. #14519760C23semidirect
319. #14519759C23semidirect
320. #14519759C23semidirect
323. #14519758C23semidirect
324. #14519758C23semidirect
325. #14519758C23semidirect
326. #14519758C23semidirect
327. #14519758C23semidirect
328. #14519757C23semidirect
329. #14519757C23semidirect
330. #14519756C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
333. #14519755C23semidirect
336. #14519754C23semidirect
337. #14519754C23semidirect
338. #14519754C23semidirect
339. #14519754C23semidirect
340. #14519754C23semidirect
341. #14519754C23semidirect
342. #14519751C23semidirect
345. #14519750C23semidirect
353. #14519749C23semidirect
354. #14519749C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
363. #14519748C23semidirect
364. #14519748C23semidirect
365. #14519748C23semidirect
371. C4×Dic122C23semidirect
372. #14519742C23semidirect
373. #14519742C23semidirect
374. #14519742C23semidirect
375. C4×D244C23semidirect
378. D4×Dic61C23semidirect
379. D4×Dic61C23semidirect
380. D4×Dic61C23semidirect
381. D4×Dic61C23semidirect
382. D4×Dic61C23semidirect
383. D4×Dic61C23semidirect
384. #14519739C23semidirect
385. C4×C22⋊D61C23semidirect
386. C4×C22⋊D61C23semidirect
387. C4×C22⋊D61C23semidirect
388. C4×C22⋊D61C23semidirect
391. #14519737C23semidirect
392. #14519737C23semidirect
393. #14519737C23semidirect
394. #14519737C23semidirect
395. #14519735C23semidirect
396. #14519734C23semidirect
398. #14519733C23semidirect
399. #14519733C23semidirect
400. #14519733C23semidirect
411. C2×C4⋊Dic61C23semidirect
432. C4⋊C4×D61C23semidirect
484. C2×C4×Dic61C23semidirect
501. #127×C61C23semidirect
503. #126×C61C23semidirect
504. #123×C61C23semidirect
505. #123×C61C23semidirect
506. #123×C61C23semidirect
510. #121×C61C23semidirect
511. #121×C61C23semidirect
512. #121×C61C23semidirect
1005. C2×#560D61semidirect
1039. C2×C61#3562semidirect
1055. #560C2×D61semidirect
1086. C2×#127C2×D61semidirect
1100. C2×#126C2×D61semidirect
1140. C2×#123C2×D61semidirect
1141. C2×#123C2×D61semidirect
1142. C2×#123C2×D61semidirect
1184. C2×#121C2×D61semidirect
1185. C2×#121C2×D61semidirect
1186. C2×#121C2×D61semidirect
1232. C61C2×#3562semidirect
1309. #127C22×D61semidirect
1321. #126C22×D61semidirect
1361. #123C22×D61semidirect
1362. #123C22×D61semidirect
1363. #123C22×D61semidirect
1405. #121C22×D61semidirect
1406. #121C22×D61semidirect
1407. #121C22×D61semidirect
2023. C2#21460396direct (N × H)

Maximal subgroups

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

subgroupindex
#214603962
C2×#168405092
C2×#168405072
C2×#168405002
C2×#168404962
C2×#168404792
C2×#168404642
C2×#168404572
C2×#168404432
C2×#168404372
C2×#168404322
C2×#168404182
C2×#168404122
C2×#168403992
C2×#168403692
C2×#168403662
C2×#168403622
C2×#168403562
C2×#168403532
C2×#168403472
C2×#168403442
C2×#168403342
C2×#168403272
C2×#168403072
C2×#168402932
C2×#168402892
C2×C61×#5602
C2×#356261