Finite Group Databasebeta

← C2×#21460069 #30587289

Subgroups — C2×#21460069 #30587289

Order 15616.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460069C2132yesmaximal, direct product factor
2C2×#16840503C211yesmaximal, characteristic, complemented
3C2×#16840500C211yesmaximal, characteristic, complemented
4C2×#16840500C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840463C211yesmaximal, characteristic, complemented
7C2×#16840462C211yesmaximal, characteristic, complemented
8C2×#16840461C211yesmaximal, characteristic, complemented
9C2×#16840461C211yesmaximal, characteristic, complemented
10C2×#16840457C211yesmaximal, characteristic, complemented
11C2×#16840445C211yesmaximal, characteristic, complemented
12C2×#16840444C211yesmaximal, characteristic, complemented
13C2×#16840433C211yesmaximal, characteristic, complemented
14C2×#16840430C211yesmaximal, characteristic, complemented
15C2×#16840413C211yesmaximal, characteristic, complemented
16C2×#16840410C211yesmaximal, characteristic, complemented
17C2×#16840369C211yesmaximal, characteristic, complemented
18C2×#16840367C211yesmaximal, characteristic, complemented
19C2×#16840364C211yesmaximal, characteristic, complemented
20C2×#16840363C211yesmaximal, characteristic, complemented
21C2×#16840362C211yesmaximal, characteristic, complemented
22C2×#16840362C211yesmaximal, characteristic, complemented
23C2×#16840360C211yesmaximal, characteristic, complemented
24C2×#16840359C211yesmaximal, characteristic, complemented
25C2×#16840354C211yesmaximal, characteristic, complemented
26C2×#16840353C211yesmaximal, characteristic, complemented
27C2×#16840341C211yesmaximal, characteristic, complemented
28C2×#16840339C211yesmaximal, characteristic, complemented
29C2×#16840271C211yesmaximal, characteristic, complemented
30C2×#16840271C211yesmaximal, characteristic, complemented
31C2×#16840270C211yesmaximal, characteristic, complemented
32C2×C61×#553C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C22×#11758222C2211yescharacteristic, complemented
36C22×#11758224C2211yescharacteristic
37C22×#11758224C2211yescharacteristic, complemented
38C23×C4×D61C2211yescharacteristic
39#16840503C22116yescomplemented
40#16840500C22116yescomplemented
41#16840500C22116yescomplemented
42#16840500C22116yescomplemented
43#16840463C22116yescomplemented
44#16840462C22116yescomplemented
45#16840461C22116yescomplemented
46#16840461C22116yescomplemented
47#16840457C22116yescomplemented
48#16840445C22116yescomplemented
49#16840444C22116yescomplemented
50#16840433C22116yescomplemented
51#16840430C22116yescomplemented
52#16840413C22116yescomplemented
53#16840410C22116yescomplemented
54#16840369C22116yescomplemented
55#16840367C22116yescomplemented
56#16840364C22116yescomplemented
57#16840363C22116yescomplemented
58#16840362C22116yescomplemented
59#16840362C22116yescomplemented
60#16840360C22116yescomplemented
61#16840359C22116yescomplemented
62#16840354C22116yescomplemented
63#16840353C22116yescomplemented
64#16840341C22116yescomplemented
65#16840339C22116yescomplemented
66C2×#14519776C2211yescharacteristic, complemented
67C2×#14519774C2211yescharacteristic
68C2×#14519773C2211yescharacteristic
69C2×#14519773C2211yescharacteristic
70C2×#14519773C2211yescharacteristic
71C2×#14519773C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic
73C2×#14519772C2211yescharacteristic
74C2×#14519772C2211yescharacteristic
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519771C2211yescharacteristic
77C2×#14519771C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic
79C2×#14519770C2211yescharacteristic
80C2×#14519770C2211yescharacteristic
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519769C2211yescharacteristic, complemented
83C2×#14519769C2211yescharacteristic, complemented
84C2×#14519768C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519767C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91#16840271C22116yescomplemented
92#16840271C22116yescomplemented
93#16840270C22116yescomplemented
94C2×#14519762C2211yescharacteristic
95C2×#14519762C2211yescharacteristic
96C2×#14519762C2211yescharacteristic
97C2×#14519762C2211yescharacteristic
98C2×#14519762C2211yescharacteristic
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic, complemented
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519761C2211yescharacteristic
105C2×#14519761C2211yescharacteristic
106C2×#14519761C2211yescharacteristic
107C2×#14519760C2211yescharacteristic
108C2×#14519760C2211yescharacteristic
109C2×#14519760C2211yescharacteristic
110C2×#14519760C2211yescharacteristic
111C2×#14519760C2211yescharacteristic, complemented
112C2×#14519760C2211yescharacteristic, complemented
113C2×#14519759C2211yescharacteristic
114C2×#14519759C2211yescharacteristic
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519758C2211yescharacteristic, complemented
118C2×#14519757C2211yescharacteristic, complemented
119C2×#14519756C2211yescharacteristic, complemented
120C2×#14519755C2211yescharacteristic
121C2×#14519755C2211yescharacteristic
122C2×#14519755C2211yescharacteristic
123C2×#14519755C2211yescharacteristic
124C2×#14519755C2211yescharacteristic, complemented
125C2×#14519755C2211yescharacteristic, complemented
126C2×#14519754C2211yescharacteristic
127C2×#14519754C2211yescharacteristic
128C2×#14519754C2211yescharacteristic, complemented
129C2×#14519754C2211yescharacteristic, complemented
130C2×#14519752C2211yescharacteristic
131C2×#14519752C2211yescharacteristic
132C2×#14519752C2211yescharacteristic
133C2×#14519751C2211yescharacteristic
134C2×#14519751C2211yescharacteristic
135C2×#14519751C2211yescharacteristic
136C2×#14519751C2211yescharacteristic, complemented
137C2×#14519751C2211yescharacteristic, complemented
138C2×#14519750C2211yescharacteristic
139C2×#14519750C2211yescharacteristic
140C2×#14519750C2211yescharacteristic
141C2×#14519750C2211yescharacteristic
142C2×#14519750C2211yescharacteristic
143C2×#14519750C2211yescharacteristic
144C2×#14519750C2211yescharacteristic
145C2×#14519750C2211yescharacteristic
146C2×#14519750C2211yescharacteristic
147C2×#14519750C2211yescharacteristic
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic, complemented
150C2×#14519750C2211yescharacteristic, complemented
151C2×#14519750C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic
153C2×#14519749C2211yescharacteristic
154C2×#14519749C2211yescharacteristic
155C2×#14519749C2211yescharacteristic
156C2×#14519749C2211yescharacteristic
157C2×#14519749C2211yescharacteristic
158C2×#14519749C2211yescharacteristic
159C2×#14519749C2211yescharacteristic
160C2×#14519749C2211yescharacteristic, complemented
161C2×#14519749C2211yescharacteristic, complemented
162C2×#14519748C2211yescharacteristic
163C2×#14519748C2211yescharacteristic
164C2×#14519748C2211yescharacteristic
165C2×#14519748C2211yescharacteristic, complemented
166C2×#14519747C2211yescharacteristic
167C2×#14519747C2211yescharacteristic
168C2×#14519747C2211yescharacteristic
169C2×#14519745C2211yescharacteristic
170C2×#14519745C2211yescharacteristic
171C2×#14519745C2211yescharacteristic
172C2×C4×Dic122C2211yescharacteristic, complemented
173C2×#14519742C2211yescharacteristic, complemented
174C2×C4×D244C2211yescharacteristic
175C2×C4×D244C2211yescharacteristic
176C2×C4×D244C2211yescharacteristic, complemented
177C2×#14519739C2211yescharacteristic
178C2×#14519739C2211yescharacteristic
179C2×#14519739C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic
181C2×C4×C22⋊D61C2211yescharacteristic
182C2×C4×C22⋊D61C2211yescharacteristic
183C2×C4×C22⋊D61C2211yescharacteristic
184C2×C4×C22⋊D61C2211yescharacteristic, complemented
185C2×C4×C22⋊D61C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic
187C2×#14519737C2211yescharacteristic
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519737C2211yescharacteristic, complemented
190C2×#14519737C2211yescharacteristic, complemented
191C2×#14519737C2211yescharacteristic, complemented
192C2×#14519735C2211yescharacteristic, complemented
193C2×#14519734C2211yescharacteristic
194C2×#14519734C2211yescharacteristic
195C2×#14519734C2211yescharacteristic, complemented
196C2×#14519733C2211yescharacteristic
197C2×#14519733C2211yescharacteristic, complemented
198C22×#11758196C2211yescharacteristic, complemented
199C22×#11758196C2211yescharacteristic, complemented
200C2×C4⋊C4×D61C2211yescharacteristic, complemented
201C2×C4⋊C4×D61C2211yescharacteristic, complemented
202C2×C4⋊C4×D61C2211yescharacteristic, complemented
203C61×#553C22116yescomplemented
204C2×#126×C61C2211yescharacteristic
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#121×C61C2211yescharacteristic
210C2×#121×C61C2211yescharacteristic
211C2×#121×C61C2211yescharacteristic
212C2×#121×C61C2211yescharacteristic, complemented
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C2×#117×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C2×#11758222—44no—
221C2×#11758222—44no—
222C2×#11758222—44no—
223C2×#11758222C2318yes—
224C2×#11758222C2318yes—
225C2×#11758222C2318yescomplemented
226C2×#11758224—44no—
227C2×#11758224—44no—
228C2×#11758224C2318yes—
229C2×#11758224C2318yescomplemented
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×D244C2311yescharacteristic
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×D244C2311yescharacteristic
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⋊D61C2311yescharacteristic
256C22×C22⋊D61C2311yescharacteristic
257C22×C22⋊D61C2311yescharacteristic
258C22×C22⋊D61C2311yescharacteristic
259C22×C22⋊D61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
261C23×Dic61C2311yescharacteristic
262C23×Dic61C2311yescharacteristic
263C23×Dic61C2311yescharacteristic
264C23×Dic61C2311yescharacteristic
265C22×C4×D61—44no—
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2311yescharacteristic
271C22×C4×D61C2311yescharacteristic
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274C22×C4×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2311yescharacteristic
278C22×C4×D61C2311yescharacteristic
279C22×C4×D61C2318yes—
280#14519776C2318yescomplemented
281#14519774C2318yes—
282#14519773C2318yes—
283#14519773C2318yes—
284#14519773C2318yes—
285#14519773C2318yescomplemented
286#14519772C2318yes—
287#14519772C2318yes—
288#14519772C2318yes—
289#14519772C2318yescomplemented
290#14519771C2318yes—
291#14519771C2318yescomplemented
292#14519770C2318yes—
293#14519770C2318yes—
294#14519770C2318yes—
295#14519770C2318yescomplemented
296#14519769C2318yescomplemented
297#14519769C2318yescomplemented
298#14519768C2318yescomplemented
299#14519767C2318yescomplemented
300#14519767C2318yescomplemented
301#14519767C2318yescomplemented
302#14519767C2318yescomplemented
303#14519767C2318yescomplemented
304#14519767C2318yescomplemented
305#14519762C2318yes—
306#14519762C2318yes—
307#14519762C2318yes—
308#14519762C2318yes—
309#14519762C2318yes—
310#14519762C2318yes—
311#14519762C2318yes—
312#14519762C2318yes—
313#14519762C2318yescomplemented
314#14519762C2318yescomplemented
315#14519761C2318yes—
316#14519761C2318yes—
317#14519761C2318yes—
318#14519760C2318yes—
319#14519760C2318yes—
320#14519760C2318yes—
321#14519760C2318yes—
322#14519760C2318yescomplemented
323#14519760C2318yescomplemented
324#14519759C2318yes—
325#14519759C2318yes—
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519758C2318yescomplemented
329#14519757C2318yescomplemented
330#14519756C2318yescomplemented
331#14519755C2318yes—
332#14519755C2318yes—
333#14519755C2318yes—
334#14519755C2318yes—
335#14519755C2318yescomplemented
336#14519755C2318yescomplemented
337#14519754C2318yes—
338#14519754C2318yes—
339#14519754C2318yescomplemented
340#14519754C2318yescomplemented
341#14519752C2318yes—
342#14519752C2318yes—
343#14519752C2318yes—
344#14519751C2318yes—
345#14519751C2318yes—
346#14519751C2318yes—
347#14519751C2318yescomplemented
348#14519751C2318yescomplemented
349#14519750C2318yes—
350#14519750C2318yes—
351#14519750C2318yes—
352#14519750C2318yes—
353#14519750C2318yes—
354#14519750C2318yes—
355#14519750C2318yes—
356#14519750C2318yes—
357#14519750C2318yes—
358#14519750C2318yes—
359#14519750C2318yescomplemented
360#14519750C2318yescomplemented
361#14519750C2318yescomplemented
362#14519750C2318yescomplemented
363#14519749C2318yes—
364#14519749C2318yes—
365#14519749C2318yes—
366#14519749C2318yes—
367#14519749C2318yes—
368#14519749C2318yes—
369#14519749C2318yes—
370#14519749C2318yes—
371#14519749C2318yescomplemented
372#14519749C2318yescomplemented
373#14519748C2318yes—
374#14519748C2318yes—
375#14519748C2318yes—
376#14519748C2318yescomplemented
377#14519747C2318yes—
378#14519747C2318yes—
379#14519747C2318yes—
380#14519745C2318yes—
381#14519745C2318yes—
382#14519745C2318yes—
383C4×Dic122C2318yescomplemented
384#14519742C2318yescomplemented
385C4×D244C2318yes—
386C4×D244C2318yes—
387C4×D244C2318yescomplemented
388#14519739C2318yes—
389#14519739C2318yes—
390#14519739C2318yescomplemented
391C4×C22⋊D61C2318yes—
392C4×C22⋊D61C2318yes—
393C4×C22⋊D61C2318yes—
394C4×C22⋊D61C2318yes—
395C4×C22⋊D61C2318yescomplemented
396C4×C22⋊D61C2318yescomplemented
397#14519737C2318yes—
398#14519737C2318yes—
399#14519737C2318yescomplemented
400#14519737C2318yescomplemented
401#14519737C2318yescomplemented
402#14519737C2318yescomplemented
403#14519735C2318yescomplemented
404#14519734C2318yes—
405#14519734C2318yes—
406#14519734C2318yescomplemented
407#14519733C2318yes—
408#14519733C2318yescomplemented
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×C4⋊Dic61C2311yescharacteristic
413C2×C4⋊Dic61C2311yescharacteristic
414C2×C4⋊Dic61C2311yescharacteristic
415C2×C4⋊Dic61C2311yescharacteristic
416C2×C4⋊Dic61C2311yescharacteristic
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
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2311yescharacteristic
434C2×#11758196C2311yescharacteristic
435C2×#11758196C2311yescharacteristic
436C2×#11758196C2311yescharacteristic
437C2×#11758196C2311yescharacteristic
438C2×#11758196C2311yescharacteristic
439C2×#11758196C2311yescharacteristic
440C2×#11758196C2311yescharacteristic
441C2×#11758196C2318yescomplemented
442C2×#11758196C2318yescomplemented
443C4⋊C4×D61C2318yescomplemented
444C4⋊C4×D61C2318yescomplemented
445C4⋊C4×D61C2318yescomplemented
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×#11758198C2311yescharacteristic
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
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
473C2×#11758198C2311yescharacteristic
474C2×#11758198C2311yescharacteristic
475C2×#11758198C2311yescharacteristic
476C2×#11758198C2311yescharacteristic
477C2×#11758198C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497#126×C61C2318yes—
498#126×C61C2318yescomplemented
499#125×C61C2318yescomplemented
500#123×C61C2318yes—
501#123×C61C2318yescomplemented
502#121×C61C2318yes—
503#121×C61C2318yes—
504#121×C61C2318yes—
505#121×C61C2318yescomplemented
506C4×D4×C61C2318yes—
507C4×D4×C61C2318yes—
508C4×D4×C61C2318yescomplemented
509C4×D4×C61C2318yescomplemented
510#117×C61C2318yescomplemented
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
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×C61C2318yescomplemented
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×C42×C61C2311yescharacteristic
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C23×D61—42no—
540C23×D61—42no—
541C23×D61—42no—
542C23×D61C2411yescharacteristic
543C23×D61C2411yescharacteristic
544C23×D61C2411yescharacteristic
545C23×D61C2411yescharacteristic
546C23×D61C2411yescharacteristic
547C23×D61C2414yes—
548C2×D4×C61—42no—
549C2×D4×C61—42no—
550C2×D4×C61—42no—
551C2×D4×C61—42no—
552C2×D4×C61—42no—
553C2×D4×C61—42no—
554C2×D4×C61C2414yes—
555C2×D4×C61C2414yes—
556C2×D4×C61C2414yes—
557C2×D4×C61C2414yes—
558C2×D4×C61C2414yes—
559C2×D4×C61C2414yes—
560C22×C4×C61—42no—
561C22×C4×C61—42no—
562C22×C4×C61—42no—
563C22×C4×C61—42no—
564C22×C4×C61—42no—
565C22×C4×C61—42no—
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
576C22×C4×C61C2411yescharacteristic
577C22×C4×C61C2414yes—
578C22×C4×C61C2414yes—
579C22×C4×C61C2414yes—
580C22×C4×C61C2414yes—
581C22×C4×C61C2414yes—
582C22×C4×C61C2414yes—
583C2×C22⋊D61—24no—
584C2×C22⋊D61—24no—
585C2×C22⋊D61—42no—
586C2×C22⋊D61—42no—
587C2×C22⋊D61—42no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61—42no—
590C2×C22⋊D61—42no—
591C2×C22⋊D61—42no—
592C2×C22⋊D61—42no—
593C2×C22⋊D61—42no—
594C2×C22⋊D61—42no—
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⋊D61C2414yes—
602C2×C22⋊D61C2414yes—
603C2×C22⋊D61C2414yes—
604C2×C22⋊D61C2414yes—
605C2×C22⋊D61C2414yes—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
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—
619C22×Dic61—24no—
620C22×Dic61—24no—
621C22×Dic61—42no—
622C22×Dic61—42no—
623C22×Dic61—42no—
624C22×Dic61C2411yescharacteristic
625C22×Dic61C2414yes—
626C22×Dic61C2411yescharacteristic
627C22×Dic61C2411yescharacteristic
628C22×Dic61C2411yescharacteristic
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2411yescharacteristic
634C22×Dic61C2414yes—
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2414yes—
637C22×Dic61C2414yes—
638C22×Dic61C2414yes—
639C22×Dic61C2411yescharacteristic
640#11758224—416no—
641#11758224—416no—
642#11758222—416no—
643#11758222—416no—
644#11758222—416no—
645C2×D244—42no—
646C2×D244—42no—
647C2×D244—42no—
648C2×D244—42no—
649C2×D244—42no—
650C2×D244—42no—
651C2×D244—42no—
652C2×D244—42no—
653C2×D244—42no—
654C2×D244C2414yes—
655C2×D244C2414yes—
656C2×D244C2414yes—
657C2×D244C2414yes—
658C2×D244C2414yes—
659C2×D244C2414yes—
660C2×D244C2414yes—
661C2×D244C2414yes—
662C2×D244C2414yes—
663C2×C4×D61—24no—
664C2×C4×D61—24no—
665C2×C4×D61—24no—
666C2×C4×D61—416no—
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×D61—42no—
675C2×C4×D61—42no—
676C2×C4×D61—42no—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×C4×D61C2414yes—
681C2×C4×D61C2414yes—
682C2×C4×D61C2414yes—
683C2×C4×D61C2414yes—
684C2×C4×D61C2414yes—
685C2×C4×D61C2414yes—
686C2×C4×D61C2414yes—
687C2×C4×D61C2414yes—
688C2×C4×D61C2414yes—
689C2×C4×D61C2414yes—
690C2×Dic122—24no—
691C2×Dic122—24no—
692C2×Dic122—42no—
693C2×Dic122C2414yes—
694C2×Dic122C2414yes—
695C2×Dic122C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C4⋊C4×C61C2414yes—
703C4⋊C4×C61C2414yes—
704C4⋊C4×C61C2414yes—
705C4⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C22⋊C4×C61C2414yes—
713C22⋊C4×C61C2414yes—
714C22⋊C4×C61C2414yes—
715C22⋊C4×C61C2414yes—
716C42×C61C2414yes—
717C42×C61C2414yes—
718C42×C61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
726C22⋊Dic61C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731#11758198C2414yes—
732#11758198C2414yes—
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—
749#11758198C2414yes—
750#11758198C2414yes—
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—
779#11758196C2414yes—
780#11758196C2414yes—
781#11758196C2414yes—
782#11758196C2414yes—
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×C61C2512yes—
803C23×C61C2512yes—
804C23×C61C2512yes—
805C23×C61C2512yes—
806C23×C61C2511yescharacteristic
807C22×D61—22no—
808C22×D61—22no—
809C22×D61—22no—
810C22×D61—22no—
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—22no—
815C22×D61—22no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—22no—
821C22×D61—22no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—416no—
826C22×D61C2512yes—
827C22×D61C2512yes—
828C22×D61C2512yes—
829C22×D61C2512yes—
830C22×D61C2512yes—
831D4×C61—44no—
832D4×C61—44no—
833D4×C61—44no—
834D4×C61—44no—
835D4×C61—44no—
836D4×C61—44no—
837C2×C4×C61—22no—
838C2×C4×C61—22no—
839C2×C4×C61—22no—
840C2×C4×C61—22no—
841C2×C4×C61—22no—
842C2×C4×C61—22no—
843C2×C4×C61—22no—
844C2×C4×C61—22no—
845C2×C4×C61—22no—
846C2×C4×C61—22no—
847C2×C4×C61—22no—
848C2×C4×C61—44no—
849C2×C4×C61—44no—
850C2×C4×C61—44no—
851C2×C4×C61—44no—
852C2×C4×C61—44no—
853C2×C4×C61—44no—
854C2×C4×C61C2512yes—
855C2×C4×C61C2512yes—
856C2×C4×C61C2512yes—
857C2×C4×C61C2512yes—
858C2×C4×C61C2512yes—
859C2×C4×C61C2512yes—
860C2×C4×C61C2512yes—
861C2×C4×C61C2512yes—
862C2×C4×C61C2512yes—
863C2×C4×C61C2512yes—
864C2×C4×C61C2512yes—
865C22⋊D61—28no—
866C22⋊D61—28no—
867C22⋊D61—44no—
868C22⋊D61—44no—
869C22⋊D61—44no—
870C22⋊D61—44no—
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—
883C2×Dic61—22no—
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—28no—
894C2×Dic61—28no—
895C2×Dic61—44no—
896C2×Dic61—44no—
897C2×Dic61—44no—
898C2×Dic61H(5,𝔽2)14yes—
899C2×Dic61C2512yes—
900C2×Dic61C2512yes—
901C2×Dic61C2512yes—
902C2×Dic61C2512yes—
903C2×Dic61C2512yes—
904C2×Dic61C2512yes—
905C2×Dic61C2512yes—
906C2×Dic61C2512yes—
907C2×Dic61C2512yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910D244—44no—
911D244—44no—
912D244—44no—
913D244—44no—
914D244—44no—
915D244—44no—
916D244—44no—
917D244—44no—
918D244—44no—
919C4×D61—28no—
920C4×D61—28no—
921C4×D61—28no—
922C4×D61—44no—
923C4×D61—44no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931C4×D61—44no—
932Dic122—28no—
933Dic122—28no—
934Dic122—44no—
935C2×#3539—611nomaximal, Sylow
936C22×C61—22no—
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—44no—
949C22×C61—44no—
950C22×C61—44no—
951C22×C61—44no—
952C22×C61C2×H(5,𝔽2)12yes—
953C22×C61#58512yes—
954C22×C61#58512yes—
955C22×C61C2611yescharacteristic
956C2×D61—22no—
957C2×D61—22no—
958C2×D61—22no—
959C2×D61—22no—
960C2×D61—22no—
961C2×D61—22no—
962C2×D61—22no—
963C2×D61—22no—
964C2×D61—22no—
965C2×D61—22no—
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—416no—
972C2×D61—44no—
973C2×D61—44no—
974C2×D61—44no—
975C2×D61—44no—
976C2×D61—44no—
977C4×C61—22no—
978C4×C61—22no—
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—
998Dic61C2×H(5,𝔽2)14yes—
999#3539—6132no—
1000C2×#560—611no—
1001C2×#560—611no—
1002C2×#560—611no—
1003C2×#560—611no—
1004C2×#553—611no—
1005C2×#553—611no—
1006C2×#553—611no—
1007C2×#553—611no—
1008C2×#553—611no—
1009C2×#553D6111yescharacteristic, complemented
1010C2×#552—611no—
1011C2×#552—611no—
1012C2×#550—611no—
1013C2×#550—611no—
1014C2×#547—611no—
1015C2×#547—611no—
1016C2×#541—611no—
1017C2×#540—611no—
1018C2×#540—611no—
1019C2×#540—611no—
1020C2×#540—611no—
1021C2×#540—611no—
1022C2×#539—611no—
1023C2×#539—611no—
1024C2×#539—611no—
1025C2×#539—611no—
1026C2×#537—611no—
1027C2×#537—611no—
1028C2×#525—611no—
1029C2×#525—611no—
1030C2×#525—611no—
1031C2×C61—42no—
1032C2×C61—42no—
1033C2×C61—42no—
1034C2×C61—42no—
1035C2×C61#353914yescomplemented
1036C2×C61C22×H(5,𝔽2)11yescharacteristic
1037C2×C61C2×#58511yescharacteristic
1038C2×C61C2×#58511yescharacteristic
1039D61—42no—
1040D61—42no—
1041D61—42no—
1042D61—42no—
1043D61—42no—
1044C22×#41—611no—
1045C22×#41—611no—
1046C22×#41—611no—
1047C22×#41—611no—
1048C22×#41—611no—
1049C24×C4—611no—
1050#560—6116no—
1051#560—6116no—
1052#560—6116no—
1053#560—6116no—
1054#553—6116no—
1055#553—6116no—
1056#553—6116no—
1057#553—6116no—
1058#553—6116no—
1059#553C2×D61116yescomplemented
1060#552—6116no—
1061#552—6116no—
1062#550—6116no—
1063#550—6116no—
1064#547—6116no—
1065#547—6116no—
1066#541—6116no—
1067#540—6116no—
1068#540—6116no—
1069#540—6116no—
1070#540—6116no—
1071#540—6116no—
1072#539—6116no—
1073#539—6116no—
1074#539—6116no—
1075#539—6116no—
1076#537—6116no—
1077#537—6116no—
1078C2×C4⋊Q8—611no—
1079C2×#127—611no—
1080C2×#127—611no—
1081C2×#127—611no—
1082C2×#127—611no—
1083C2×#127—611no—
1084C2×#126—611no—
1085C2×#126—611no—
1086C2×#126—611no—
1087C2×#126—611no—
1088C2×#126—611no—
1089C2×#126—611no—
1090C2×#126—611no—
1091C2×#126—611no—
1092C2×#126—611no—
1093C2×#126—611no—
1094C2×#126C2×D6111yescharacteristic
1095C2×#126C2×D6111yescharacteristic, complemented
1096C2×#125—611no—
1097C2×#125—611no—
1098C2×#125—611no—
1099C2×#125—611no—
1100C2×#125—611no—
1101C2×#125—611no—
1102C2×#125—611no—
1103C2×#125—611no—
1104C2×#125—611no—
1105C2×#125C2×D6111yescharacteristic, complemented
1106#525—6116no—
1107#525—6116no—
1108#525—6116no—
1109C2×#123—611no—
1110C2×#123—611no—
1111C2×#123—611no—
1112C2×#123—611no—
1113C2×#123—611no—
1114C2×#123—611no—
1115C2×#123—611no—
1116C2×#123—611no—
1117C2×#123—611no—
1118C2×#123—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×#123C2×D6111yescharacteristic
1134C2×#123C2×D6111yescharacteristic, complemented
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—611no—
1137C2×C22⋊Q8—611no—
1138C2×C22⋊Q8—611no—
1139C2×C22⋊Q8—611no—
1140C2×C22⋊Q8—611no—
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×#121—611no—
1148C2×#121—611no—
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×#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×#121—611no—
1182C2×#121—611no—
1183C2×#121C2×D6111yescharacteristic
1184C2×#121C2×D6111yescharacteristic
1185C2×#121C2×D6111yescharacteristic
1186C2×#121C2×D6111yescharacteristic, complemented
1187C2×#120—611no—
1188C2×#120—611no—
1189C2×#120—611no—
1190C2×#120—611no—
1191C2×#120—611no—
1192C2×#120—611no—
1193C2×C4×Q8—611no—
1194C2×C4×Q8—611no—
1195C2×C4×D4—611no—
1196C2×C4×D4—611no—
1197C2×C4×D4—611no—
1198C2×C4×D4—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×D4C2×D6111yescharacteristic
1214C2×C4×D4C2×D6111yescharacteristic
1215C2×C4×D4C2×D6111yescharacteristic, complemented
1216C2×C4×D4C2×D6111yescharacteristic, complemented
1217C2×#117—611no—
1218C2×#117—611no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117C2×D6111yescharacteristic, complemented
1224C22×C4⋊C4—611no—
1225C22×C4⋊C4—611no—
1226C22×C4⋊C4—611no—
1227C22×C4⋊C4—611no—
1228C22×C4⋊C4—611no—
1229C22×C4⋊C4C2×D6111yescharacteristic, complemented
1230C61C2×#353911yescharacteristic, complemented, Sylow
1231C25—611no—
1232C2×#41—618no—
1233C2×#41—618no—
1234C2×#41—618no—
1235C2×#41—618no—
1236C2×#41—618no—
1237C2×#41—2444no—
1238C2×#41—2444no—
1239C2×#41—2444no—
1240C2×#41—2444no—
1241C2×#41—2444no—
1242C22×Q8—611no—
1243C22×Q8—611no—
1244C22×Q8—611no—
1245C22×D4—611no—
1246C22×D4—611no—
1247C22×D4—611no—
1248C22×D4—611no—
1249C22×D4—611no—
1250C22×D4—611no—
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—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4C22×D6111yescharacteristic
1273C22×D4C22×D6111yescharacteristic
1274C22×D4C22×D6111yescharacteristic
1275C22×D4C22×D6111yescharacteristic
1276C22×D4C22×D6111yescharacteristic
1277C22×D4C22×D6111yescharacteristic
1278C23×C4—611no—
1279C23×C4—611no—
1280C23×C4—611no—
1281C23×C4—611no—
1282C23×C4—611no—
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—618no—
1297C23×C4—2444no—
1298C23×C4C22×D6111yescharacteristic
1299C23×C4C22×D6111yescharacteristic
1300C23×C4C22×D6111yescharacteristic
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305#127—618no—
1306#127—618no—
1307#127—618no—
1308#127—618no—
1309#127—618no—
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#125—618no—
1329#125—618no—
1330#125—618no—
1331#125C22×D6118yescomplemented
1332#123—618no—
1333#123—618no—
1334#123—618no—
1335#123—618no—
1336#123—618no—
1337#123—618no—
1338#123—618no—
1339#123—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#123C22×D6118yes—
1357#123C22×D6118yescomplemented
1358C22⋊Q8—618no—
1359C22⋊Q8—618no—
1360C22⋊Q8—618no—
1361C22⋊Q8—618no—
1362C22⋊Q8—618no—
1363C22⋊Q8—618no—
1364C22⋊Q8—618no—
1365C22⋊Q8—618no—
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370#121—618no—
1371#121—618no—
1372#121—618no—
1373#121—618no—
1374#121—618no—
1375#121—618no—
1376#121—618no—
1377#121—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#121—618no—
1403#121—618no—
1404#121—618no—
1405#121—618no—
1406#121C22×D6118yes—
1407#121C22×D6118yes—
1408#121C22×D6118yes—
1409#121C22×D6118yescomplemented
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120—618no—
1414#120—618no—
1415#120—618no—
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×D4—618no—
1419C4×D4—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×D4C22×D6118yes—
1437C4×D4C22×D6118yes—
1438C4×D4C22×D6118yescomplemented
1439C4×D4C22×D6118yescomplemented
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443#117—618no—
1444#117—618no—
1445#117—618no—
1446#117C22×D6118yescomplemented
1447C2×C4⋊C4—611no—
1448C2×C4⋊C4—611no—
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—611no—
1451C2×C4⋊C4—611no—
1452C2×C4⋊C4—611no—
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—618no—
1464C2×C4⋊C4—618no—
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—611no—
1478C2×C4⋊C4—611no—
1479C2×C4⋊C4—611no—
1480C2×C4⋊C4—611no—
1481C2×C4⋊C4—618no—
1482C2×C4⋊C4—618no—
1483C2×C4⋊C4—618no—
1484C2×C4⋊C4C22×D6111yescharacteristic
1485C2×C4⋊C4C22×D6111yescharacteristic
1486C2×C4⋊C4C22×D6111yescharacteristic
1487C2×C4⋊C4C22×D6111yescharacteristic
1488C2×C4⋊C4C22×D6111yescharacteristic
1489C2×C4⋊C4C22×D6111yescharacteristic
1490C2×C4⋊C4C22×D6111yescharacteristic
1491C2×C4⋊C4C22×D6111yescharacteristic
1492C2×C4⋊C4C22×D6111yescharacteristic
1493C2×C4⋊C4C22×D6111yescharacteristic
1494C2×C4⋊C4C22×D6118yescomplemented
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—611no—
1523C2×C22⋊C4—611no—
1524C2×C22⋊C4—611no—
1525C2×C22⋊C4—611no—
1526C2×C22⋊C4—611no—
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×C22⋊C4C22×D6111yescharacteristic
1537C2×C42—611no—
1538C2×C42—611no—
1539C2×C42—611no—
1540C2×C42—611no—
1541C2×C42—611no—
1542C2×C42—611no—
1543C2×C42—611no—
1544C2×C42C22×D6111yescharacteristic
1545C2×C42C22×D6111yescharacteristic
1546C2×C42C22×D6111yescharacteristic
1547C24—611no—
1548C24—611no—
1549C24—611no—
1550C24—611no—
1551C24—611no—
1552C24—614no—
1553C24—2442no—
1554C24—2442no—
1555C24—2442no—
1556C24C23×D6111yescharacteristic
1557C24C23×D6111yescharacteristic
1558C24C23×D6111yescharacteristic
1559C24C23×D6111yescharacteristic
1560#41—24416no—
1561#41—24416no—
1562#41—24416no—
1563#41—24416no—
1564#41—24416no—
1565C2×Q8—614no—
1566C2×Q8—614no—
1567C2×Q8—614no—
1568C2×Q8—1224no—
1569C2×Q8—1224no—
1570C2×Q8—2442no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—614no—
1578C2×D4—614no—
1579C2×D4—614no—
1580C2×D4—614no—
1581C2×D4—614no—
1582C2×D4—614no—
1583C2×D4—614no—
1584C2×D4—614no—
1585C2×D4—614no—
1586C2×D4—614no—
1587C2×D4—614no—
1588C2×D4—614no—
1589C2×D4—614no—
1590C2×D4—614no—
1591C2×D4—614no—
1592C2×D4—614no—
1593C2×D4—614no—
1594C2×D4—614no—
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—1224no—
1605C2×D4—1224no—
1606C2×D4—2442no—
1607C2×D4—2442no—
1608C2×D4—2442no—
1609C2×D4—2442no—
1610C2×D4—2442no—
1611C2×D4—2442no—
1612C2×D4—2442no—
1613C2×D4—2442no—
1614C2×D4—2442no—
1615C2×D4—2442no—
1616C2×D4—2442no—
1617C2×D4—2442no—
1618C2×D4—2442no—
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×D4C23×D6114yes—
1632C2×D4C23×D6114yes—
1633C2×D4C23×D6114yes—
1634C2×D4C23×D6114yes—
1635C2×D4C23×D6114yes—
1636C2×D4C23×D6114yes—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—611no—
1644C22×C4—614no—
1645C22×C4—614no—
1646C22×C4—611no—
1647C22×C4—611no—
1648C22×C4—611no—
1649C22×C4—611no—
1650C22×C4—611no—
1651C22×C4—611no—
1652C22×C4—611no—
1653C22×C4—611no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—614no—
1657C22×C4—614no—
1658C22×C4—614no—
1659C22×C4—614no—
1660C22×C4—614no—
1661C22×C4—614no—
1662C22×C4—614no—
1663C22×C4—614no—
1664C22×C4—614no—
1665C22×C4—614no—
1666C22×C4—614no—
1667C22×C4—614no—
1668C22×C4—614no—
1669C22×C4—614no—
1670C22×C4—614no—
1671C22×C4—614no—
1672C22×C4—1224no—
1673C22×C4—1224no—
1674C22×C4—1224no—
1675C22×C4—1224no—
1676C22×C4—1224no—
1677C22×C4—2442no—
1678C22×C4—2442no—
1679C22×C4—2442no—
1680C22×C4—2442no—
1681C22×C4—2442no—
1682C22×C4—2442no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—24416no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—2442no—
1691C22×C4C23×D6111yescharacteristic
1692C22×C4C23×D6111yescharacteristic
1693C22×C4C23×D6111yescharacteristic
1694C22×C4C23×D6111yescharacteristic
1695C22×C4C23×D6111yescharacteristic
1696C22×C4C23×D6111yescharacteristic
1697C22×C4C23×D6111yescharacteristic
1698C22×C4C23×D6111yescharacteristic
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6114yes—
1703C22×C4C23×D6114yes—
1704C22×C4C23×D6114yes—
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⋊C4—614no—
1739C4⋊C4—614no—
1740C4⋊C4C23×D6114yes—
1741C4⋊C4C23×D6114yes—
1742C4⋊C4C23×D6114yes—
1743C4⋊C4C23×D6114yes—
1744C4⋊C4C23×D6114yes—
1745C4⋊C4C23×D6114yes—
1746C4⋊C4C23×D6114yes—
1747C4⋊C4C23×D6114yes—
1748C4⋊C4C23×D6114yes—
1749C4⋊C4C23×D6114yes—
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⋊C4—614no—
1781C22⋊C4—614no—
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—
1799C42C23×D6114yes—
1800C42C23×D6114yes—
1801C42C23×D6114yes—
1802C23—22no—
1803C23—22no—
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—612no—
1815C23—612no—
1816C23—612no—
1817C23—612no—
1818C23—612no—
1819C23—1222no—
1820C23—1222no—
1821C23—1222no—
1822C23—1222no—
1823C23—1222no—
1824C23—1222no—
1825C23—1222no—
1826C23—1222no—
1827C23—1222no—
1828C23—1222no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—2444no—
1835C23—2444no—
1836C23—2444no—
1837C23—24416no—
1838C23C24×D6112yes—
1839C23C24×D6112yes—
1840C23C24×D6112yes—
1841C23C24×D6112yes—
1842C23C24×D6111yescharacteristic
1843Q8—1228no—
1844Q8—1228no—
1845Q8—2444no—
1846D4—44no—
1847D4—44no—
1848D4—44no—
1849D4—44no—
1850D4—44no—
1851D4—44no—
1852D4—1228no—
1853D4—1228no—
1854D4—2444no—
1855D4—2444no—
1856D4—2444no—
1857D4—2444no—
1858D4—2444no—
1859D4—2444no—
1860D4—2444no—
1861D4—2444no—
1862D4—2444no—
1863D4—2444no—
1864D4—2444no—
1865D4—2444no—
1866D4—2444no—
1867D4—2444no—
1868D4—2444no—
1869D4—2444no—
1870D4—2444no—
1871D4—2444no—
1872D4—2444no—
1873D4—2444no—
1874D4—2444no—
1875D4—2444no—
1876D4—2444no—
1877D4—2444no—
1878D4—2444no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—44no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—614no—
1897C2×C4—612no—
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—1228no—
1909C2×C4—1228no—
1910C2×C4—1228no—
1911C2×C4—1228no—
1912C2×C4—1228no—
1913C2×C4—1222no—
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—2444no—
1924C2×C4—2444no—
1925C2×C4—2444no—
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×C4C24×D6112yes—
1937C2×C4C24×D6112yes—
1938C2×C4C24×D6112yes—
1939C2×C4C24×D6112yes—
1940C2×C4C24×D6112yes—
1941C2×C4C24×D6112yes—
1942C2×C4C24×D6112yes—
1943C2×C4C24×D6112yes—
1944C2×C4C24×D6112yes—
1945C2×C4C24×D6112yes—
1946C2×C4C24×D6112yes—
1947C22—22no—
1948C22—22no—
1949C22—22no—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—44no—
1960C22—44no—
1961C22—44no—
1962C22—44no—
1963C22—1222no—
1964C22—1222no—
1965C22—1222no—
1966C22—1222no—
1967C22—1222no—
1968C22—1222no—
1969C22—1222no—
1970C22—1222no—
1971C22—1222no—
1972C22—1222no—
1973C22—1222no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—24416no—
1979C22—2444no—
1980C22—2444no—
1981C22—2444no—
1982C22—2444no—
1983C22—2444no—
1984C22H(5,𝔽2)×D6112yes—
1985C22#1684059812yes—
1986C22#1684059812yes—
1987C22C25×D6111yescharacteristic
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—614no—
2000C4—1222no—
2001C4—1222no—
2002C4—1222no—
2003C4—1222no—
2004C4—1222no—
2005C4—1222no—
2006C4—1222no—
2007C4—1222no—
2008C4—1222no—
2009C4—1222no—
2010C2—42no—
2011C2—42no—
2012C2—42no—
2013C2—42no—
2014C2—2442no—
2015C2—2442no—
2016C2—2442no—
2017C2—2442no—
2018C2—2442no—
2019C2#2146006914yesdirect product factor
2020C2C2×H(5,𝔽2)×D6111yescharacteristic
2021C2C2×#1684059811yescharacteristic
2022C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#553C2
socleC23×C61C25
hypercenterC2×#553D61
hypocenterC61C2×#3539
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #21460069C2direct (N × H)
2. C2×#16840503C2semidirect
3. C2×#16840500C2semidirect
4. C2×#16840500C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840463C2semidirect
7. C2×#16840462C2semidirect
8. C2×#16840461C2semidirect
9. C2×#16840461C2semidirect
10. C2×#16840457C2semidirect
11. C2×#16840445C2semidirect
12. C2×#16840444C2semidirect
13. C2×#16840433C2semidirect
14. C2×#16840430C2semidirect
15. C2×#16840413C2semidirect
16. C2×#16840410C2semidirect
17. C2×#16840369C2semidirect
18. C2×#16840367C2semidirect
19. C2×#16840364C2semidirect
20. C2×#16840363C2semidirect
21. C2×#16840362C2semidirect
22. C2×#16840362C2semidirect
23. C2×#16840360C2semidirect
24. C2×#16840359C2semidirect
25. C2×#16840354C2semidirect
26. C2×#16840353C2semidirect
27. C2×#16840341C2semidirect
28. C2×#16840339C2semidirect
29. C2×#16840271C2semidirect
30. C2×#16840271C2semidirect
31. C2×#16840270C2semidirect
32. C2×C61×#553C2semidirect
35. C22×#11758222C22semidirect
37. C22×#11758224C22semidirect
39. #16840503C22semidirect
40. #16840500C22semidirect
41. #16840500C22semidirect
42. #16840500C22semidirect
43. #16840463C22semidirect
44. #16840462C22semidirect
45. #16840461C22semidirect
46. #16840461C22semidirect
47. #16840457C22semidirect
48. #16840445C22semidirect
49. #16840444C22semidirect
50. #16840433C22semidirect
51. #16840430C22semidirect
52. #16840413C22semidirect
53. #16840410C22semidirect
54. #16840369C22semidirect
55. #16840367C22semidirect
56. #16840364C22semidirect
57. #16840363C22semidirect
58. #16840362C22semidirect
59. #16840362C22semidirect
60. #16840360C22semidirect
61. #16840359C22semidirect
62. #16840354C22semidirect
63. #16840353C22semidirect
64. #16840341C22semidirect
65. #16840339C22semidirect
66. C2×#14519776C22semidirect
71. C2×#14519773C22semidirect
75. C2×#14519772C22semidirect
77. C2×#14519771C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519769C22semidirect
83. C2×#14519769C22semidirect
84. C2×#14519768C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519767C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. #16840271C22semidirect
92. #16840271C22semidirect
93. #16840270C22semidirect
102. C2×#14519762C22semidirect
103. C2×#14519762C22semidirect
111. C2×#14519760C22semidirect
112. C2×#14519760C22semidirect
115. C2×#14519759C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519758C22semidirect
118. C2×#14519757C22semidirect
119. C2×#14519756C22semidirect
124. C2×#14519755C22semidirect
125. C2×#14519755C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519754C22semidirect
136. C2×#14519751C22semidirect
137. C2×#14519751C22semidirect
148. C2×#14519750C22semidirect
149. C2×#14519750C22semidirect
150. C2×#14519750C22semidirect
151. C2×#14519750C22semidirect
160. C2×#14519749C22semidirect
161. C2×#14519749C22semidirect
165. C2×#14519748C22semidirect
172. C2×C4×Dic122C22semidirect
173. C2×#14519742C22semidirect
176. C2×C4×D244C22semidirect
179. C2×#14519739C22semidirect
184. C2×C4×C22⋊D61C22semidirect
185. C2×C4×C22⋊D61C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519737C22semidirect
190. C2×#14519737C22semidirect
191. C2×#14519737C22semidirect
192. C2×#14519735C22semidirect
195. C2×#14519734C22semidirect
197. C2×#14519733C22semidirect
198. C22×#11758196C22semidirect
199. C22×#11758196C22semidirect
200. C2×C4⋊C4×D61C22semidirect
201. C2×C4⋊C4×D61C22semidirect
202. C2×C4⋊C4×D61C22semidirect
203. C61×#553C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
208. C2×#123×C61C22semidirect
212. C2×#121×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×#117×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
225. C2×#11758222C23semidirect
229. C2×#11758224C23semidirect
280. #14519776C23semidirect
285. #14519773C23semidirect
289. #14519772C23semidirect
291. #14519771C23semidirect
295. #14519770C23semidirect
296. #14519769C23semidirect
297. #14519769C23semidirect
298. #14519768C23semidirect
299. #14519767C23semidirect
300. #14519767C23semidirect
301. #14519767C23semidirect
302. #14519767C23semidirect
303. #14519767C23semidirect
304. #14519767C23semidirect
313. #14519762C23semidirect
314. #14519762C23semidirect
322. #14519760C23semidirect
323. #14519760C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519758C23semidirect
329. #14519757C23semidirect
330. #14519756C23semidirect
335. #14519755C23semidirect
336. #14519755C23semidirect
339. #14519754C23semidirect
340. #14519754C23semidirect
347. #14519751C23semidirect
348. #14519751C23semidirect
359. #14519750C23semidirect
360. #14519750C23semidirect
361. #14519750C23semidirect
362. #14519750C23semidirect
371. #14519749C23semidirect
372. #14519749C23semidirect
376. #14519748C23semidirect
383. C4×Dic122C23semidirect
384. #14519742C23semidirect
387. C4×D244C23semidirect
390. #14519739C23semidirect
395. C4×C22⋊D61C23semidirect
396. C4×C22⋊D61C23semidirect
399. #14519737C23semidirect
400. #14519737C23semidirect
401. #14519737C23semidirect
402. #14519737C23semidirect
403. #14519735C23semidirect
406. #14519734C23semidirect
408. #14519733C23semidirect
441. C2×#11758196C23semidirect
442. C2×#11758196C23semidirect
443. C4⋊C4×D61C23semidirect
444. C4⋊C4×D61C23semidirect
445. C4⋊C4×D61C23semidirect
498. #126×C61C23semidirect
499. #125×C61C23semidirect
501. #123×C61C23semidirect
505. #121×C61C23semidirect
508. C4×D4×C61C23semidirect
509. C4×D4×C61C23semidirect
510. #117×C61C23semidirect
521. C2×C4⋊C4×C61C23semidirect
1009. C2×#553D61semidirect
1035. C2×C61#3539semidirect
1059. #553C2×D61semidirect
1095. C2×#126C2×D61semidirect
1105. C2×#125C2×D61semidirect
1134. C2×#123C2×D61semidirect
1186. C2×#121C2×D61semidirect
1215. C2×C4×D4C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1223. C2×#117C2×D61semidirect
1229. C22×C4⋊C4C2×D61semidirect
1230. C61C2×#3539semidirect
1321. #126C22×D61semidirect
1331. #125C22×D61semidirect
1357. #123C22×D61semidirect
1409. #121C22×D61semidirect
1438. C4×D4C22×D61semidirect
1439. C4×D4C22×D61semidirect
1446. #117C22×D61semidirect
1494. C2×C4⋊C4C22×D61semidirect
2019. C2#21460069direct (N × H)

Maximal subgroups

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

subgroupindex
#214600692
C2×#168405032
C2×#168405002
C2×#168404632
C2×#168404622
C2×#168404612
C2×#168404572
C2×#168404452
C2×#168404442
C2×#168404332
C2×#168404302
C2×#168404132
C2×#168404102
C2×#168403692
C2×#168403672
C2×#168403642
C2×#168403632
C2×#168403622
C2×#168403602
C2×#168403592
C2×#168403542
C2×#168403532
C2×#168403412
C2×#168403392
C2×#168402712
C2×#168402702
C2×C61×#5532
C2×#353961