Finite Group Databasebeta

← C22×#772779 #72337110

Subgroups — C22×#772779 #72337110

Order 2048.

At least 8325 conjugacy classes of subgroups; only the 50720 normal subgroups are shown.

The subgroup lattice has 1626 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14723C211yesmaximal, characteristic, complemented
2C22×#15950C211yesmaximal, characteristic, complemented
3C22×#16253C211yesmaximal, characteristic, complemented
4C22×#15673C211yesmaximal, characteristic, complemented
5C22×#13968C211yesmaximal, characteristic, complemented
6C22×#15261C211yesmaximal, characteristic, complemented
7C22×#15259C211yesmaximal, characteristic, complemented
8C22×#14171C211yesmaximal, characteristic, complemented
9C22×#15310C211yesmaximal, characteristic, complemented
10C22×#14023C211yesmaximal, characteristic, complemented
11C22×#14023C211yesmaximal, characteristic, complemented
12C22×#15263C211yesmaximal, characteristic, complemented
13C22×#15263C211yesmaximal, characteristic, complemented
14C22×#14722C211yesmaximal, characteristic, complemented
15C22×#14911C211yesmaximal, characteristic, complemented
16C22×#16249C211yesmaximal, characteristic, complemented
17C22×#14718C211yesmaximal, characteristic, complemented
18C23×#2405C211yesmaximal, characteristic, complemented
19C2×#772779C2196yesmaximal, direct product factor
20C23×#2404C211yesmaximal, characteristic, complemented
21C23×#2430C211yesmaximal, characteristic, complemented
22C24×#546C211yesmaximal, characteristic, complemented
23C22×#15257C211yesmaximal, characteristic, complemented
24C23×#2410C211yesmaximal, characteristic, complemented
25C23×#1438C211yesmaximal, characteristic, complemented
26C22×#14716C211yesmaximal, characteristic, complemented
27C22×#13967C211yesmaximal, characteristic, complemented
28C22×#13867C211yesmaximal, characteristic, complemented
29C22×#13867C211yesmaximal, characteristic, complemented
30C22×#14715C211yesmaximal, characteristic, complemented
31C22×#14715C211yesmaximal, characteristic, complemented
32C24×D42C211yesmaximal, characteristic, complemented
33C25×#41C2211yescharacteristic, complemented
34C26×D4C2211yescharacteristic
35C26×D4C2211yescharacteristic
36C26×D4C2211yescharacteristic
37C26×D4C2211yescharacteristic
38C23×#546C22148yescomplemented
39C23×D42C22148yescomplemented
40C24×#127C2211yescharacteristic
41C24×#124C2211yescharacteristic, complemented
42C24×#123C2211yescharacteristic
43C24×#123C2211yescharacteristic, complemented
44C24×#123C2211yescharacteristic, complemented
45C24×C22⋊Q8C2211yescharacteristic, complemented
46C24×#121C2211yescharacteristic
47C24×#121C2211yescharacteristic
48C24×#121C2211yescharacteristic
49C24×#121C2211yescharacteristic
50C24×#121C2211yescharacteristic
51C24×#121C2211yescharacteristic, complemented
52C24×#121C2211yescharacteristic, complemented
53C24×#121C2211yescharacteristic, complemented
54C24×#120C2211yescharacteristic
55C24×#120C2211yescharacteristic
56C24×#120C2211yescharacteristic
57C24×#120C2211yescharacteristic
58C24×#120C2211yescharacteristic, complemented
59C24×#120C2211yescharacteristic, complemented
60C24×#120C2211yescharacteristic, complemented
61C24×#120C2211yescharacteristic, complemented
62C24×C4×D4C2211yescharacteristic
63C24×C4×D4C2211yescharacteristic
64C24×C4×D4C2211yescharacteristic, complemented
65C24×C4×D4C2211yescharacteristic, complemented
66C25×C22⋊C4C2211yescharacteristic, complemented
67C25×C22⋊C4C2211yescharacteristic, complemented
68C25×C22⋊C4C2211yescharacteristic, complemented
69C25×C22⋊C4C2211yescharacteristic, complemented
70C25×C22⋊C4C2211yescharacteristic, complemented
71C22×#2430C22148yescomplemented
72C22×#2404C22148yescomplemented
73C22×#2405C22148yescomplemented
74C22×#2410C22148yescomplemented
75C23×#395C2211yescharacteristic, complemented
76C23×#394C2211yescharacteristic, complemented
77C23×#394C2211yescharacteristic, complemented
78C23×#394C2211yescharacteristic, complemented
79C23×#394C2211yescharacteristic, complemented
80C23×#394C2211yescharacteristic, complemented
81C23×#394C2211yescharacteristic, complemented
82C23×#394C2211yescharacteristic, complemented
83C23×#393C2211yescharacteristic, complemented
84C23×#393C2211yescharacteristic, complemented
85C23×#393C2211yescharacteristic, complemented
86C23×#392C2211yescharacteristic
87C23×#392C2211yescharacteristic, complemented
88C23×#392C2211yescharacteristic, complemented
89C23×#392C2211yescharacteristic, complemented
90C23×#392C2211yescharacteristic, complemented
91C23×#392C2211yescharacteristic, complemented
92C23×#392C2211yescharacteristic, complemented
93C23×#392C2211yescharacteristic, complemented
94C23×#392C2211yescharacteristic, complemented
95C23×#392C2211yescharacteristic, complemented
96C23×#392C2211yescharacteristic, complemented
97C23×#386C2211yescharacteristic
98C23×#386C2211yescharacteristic
99C23×#386C2211yescharacteristic, complemented
100C23×#386C2211yescharacteristic, complemented
101C23×#386C2211yescharacteristic, complemented
102C23×#386C2211yescharacteristic, complemented
103C23×#386C2211yescharacteristic, complemented
104C23×#386C2211yescharacteristic, complemented
105C23×#386C2211yescharacteristic, complemented
106C23×#386C2211yescharacteristic, complemented
107C23×#386C2211yescharacteristic, complemented
108C23×#386C2211yescharacteristic, complemented
109C23×#386C2211yescharacteristic, complemented
110C23×#386C2211yescharacteristic, complemented
111C23×#386C2211yescharacteristic, complemented
112C23×#386C2211yescharacteristic, complemented
113C23×#386C2211yescharacteristic, complemented
114C23×#386C2211yescharacteristic, complemented
115C23×#386C2211yescharacteristic, complemented
116C23×#385C2211yescharacteristic, complemented
117C23×#385C2211yescharacteristic, complemented
118C23×#385C2211yescharacteristic, complemented
119C23×#385C2211yescharacteristic, complemented
120C23×#385C2211yescharacteristic, complemented
121C23×#381C2211yescharacteristic, complemented
122C23×#379C2211yescharacteristic, complemented
123C23×#379C2211yescharacteristic, complemented
124C23×#379C2211yescharacteristic, complemented
125C23×#379C2211yescharacteristic, complemented
126C23×#379C2211yescharacteristic, complemented
127C23×#379C2211yescharacteristic, complemented
128C23×#379C2211yescharacteristic, complemented
129C24×#95C2211yescharacteristic, complemented
130C24×#95C2211yescharacteristic, complemented
131#772779C2211024yesdirect product factor
132C2×#16253C22148yescomplemented
133C2×#16249C22148yescomplemented
134C2×#15950C22148yescomplemented
135C2×#15673C22148yescomplemented
136C2×#15310C22148yescomplemented
137C2×#15263C22148yescomplemented
138C2×#15263C22148yescomplemented
139C2×#15261C22148yescomplemented
140C2×#15259C22148yescomplemented
141C2×#15257C22148yescomplemented
142C2×#14911C22148yescomplemented
143C2×#14723C22148yescomplemented
144C2×#14722C22148yescomplemented
145C2×#14718C22148yescomplemented
146C2×#14716C22148yescomplemented
147C2×#14715C22148yescomplemented
148C2×#14715C22148yescomplemented
149C2×#14171C22148yescomplemented
150C2×#14023C22148yescomplemented
151C2×#14023C22148yescomplemented
152C2×#13968C22148yescomplemented
153C2×#13967C22148yescomplemented
154C2×#13867C22148yescomplemented
155C2×#13867C22148yescomplemented
156C22×#1441C2211yescharacteristic, complemented
157C22×#1441C2211yescharacteristic, complemented
158C22×#1441C2211yescharacteristic, complemented
159C22×#1441C2211yescharacteristic, complemented
160C22×#1440C2211yescharacteristic, complemented
161C22×#1440C2211yescharacteristic, complemented
162C22×#1440C2211yescharacteristic, complemented
163C22×#1440C2211yescharacteristic, complemented
164C22×#1439C2211yescharacteristic, complemented
165C22×#1439C2211yescharacteristic, complemented
166C22×#1439C2211yescharacteristic, complemented
167C22×#1439C2211yescharacteristic, complemented
168C22×#1439C2211yescharacteristic, complemented
169C22×#1439C2211yescharacteristic, complemented
170C22×#1439C2211yescharacteristic, complemented
171C22×#1439C2211yescharacteristic, complemented
172C22×#1439C2211yescharacteristic, complemented
173C22×#1439C2211yescharacteristic, complemented
174C22×#1438C2211yescharacteristic
175C22×#1438C2211yescharacteristic
176C22×#1438C2211yescharacteristic
177C22×#1438C22148yescomplemented
178C22×#1438C2211yescharacteristic, complemented
179C22×#1438C2211yescharacteristic, complemented
180C22×#1438C2211yescharacteristic, complemented
181C22×#1438C2211yescharacteristic, complemented
182C22×#1438C2211yescharacteristic, complemented
183C22×#1438C2211yescharacteristic, complemented
184C22×#1438C2211yescharacteristic, complemented
185C22×#1438C2211yescharacteristic, complemented
186C22×#1438C2211yescharacteristic, complemented
187C22×#1438C2211yescharacteristic, complemented
188C22×#1438C2211yescharacteristic, complemented
189C22×#1438C2211yescharacteristic, complemented
190C22×#1438C2211yescharacteristic, complemented
191C22×#1438C2211yescharacteristic, complemented
192C22×#1438C2211yescharacteristic, complemented
193C22×#1438C2211yescharacteristic, complemented
194C22×#1438C2211yescharacteristic, complemented
195C22×#1438C2211yescharacteristic, complemented
196C22×#1438C2211yescharacteristic, complemented
197C22×#1438C2211yescharacteristic, complemented
198C22×#1438C2211yescharacteristic, complemented
199C22×#1438C2211yescharacteristic, complemented
200C22×#1438C2211yescharacteristic, complemented
201C22×#1438C2211yescharacteristic, complemented
202C22×#1438C2211yescharacteristic, complemented
203C22×#1437C2211yescharacteristic, complemented
204C22×#1437C2211yescharacteristic, complemented
205C22×#1437C2211yescharacteristic, complemented
206C22×#1437C2211yescharacteristic, complemented
207C22×#1436C2211yescharacteristic, complemented
208C22×#1436C2211yescharacteristic, complemented
209C22×#1436C2211yescharacteristic, complemented
210C22×#1436C2211yescharacteristic, complemented
211C22×C22⋊#95C2211yescharacteristic, complemented
212C22×C22⋊#95C2211yescharacteristic, complemented
213C22×C22⋊#95C2211yescharacteristic, complemented
214C22×C22⋊#95C2211yescharacteristic, complemented
215C22×C22⋊#95C2211yescharacteristic, complemented
216C22×C22⋊#95C2211yescharacteristic, complemented
217C22×C22⋊#95C2211yescharacteristic, complemented
218C22×C22⋊#95C2211yescharacteristic, complemented
219C22×C22⋊#95C2211yescharacteristic, complemented
220C28C2311yescharacteristic
221C28C2311yescharacteristic
222C28C2311yescharacteristic
223C28C2311yescharacteristic
224C24×#41C23124yescomplemented
225C25×Q8C2311yescharacteristic
226C25×D4D4132yescomplemented
227C25×D4C2311yescharacteristic
228C25×D4C2311yescharacteristic
229C25×D4C2311yescharacteristic
230C25×D4C2311yescharacteristic
231C25×D4C2311yescharacteristic
232C25×D4C2311yescharacteristic
233C25×D4C2311yescharacteristic
234C25×D4C2311yescharacteristic
235C25×D4C2311yescharacteristic
236C25×D4C2311yescharacteristic
237C25×D4C2311yescharacteristic
238C25×D4C23124yes—
239C25×D4C2311yescharacteristic
240C25×D4C23124yes—
241C25×D4C23124yes—
242C25×D4C2311yescharacteristic
243C25×D4C2311yescharacteristic
244C25×D4C2311yescharacteristic
245C25×D4C2311yescharacteristic
246C25×D4C23124yes—
247C25×D4C2311yescharacteristic
248C25×D4C2311yescharacteristic
249C25×D4C2311yescharacteristic
250C25×D4C2311yescharacteristic
251C25×D4C2311yescharacteristic
252C25×D4C2311yescharacteristic
253C25×D4C2311yescharacteristic
254C25×D4C2311yescharacteristic
255C26×C4C2311yescharacteristic
256C26×C4C2311yescharacteristic
257C26×C4C2311yescharacteristic
258C26×C4C2311yescharacteristic
259C26×C4C2311yescharacteristic
260C26×C4C2311yescharacteristic
261C26×C4C2311yescharacteristic
262C26×C4C2311yescharacteristic
263C26×C4C2311yescharacteristic
264C26×C4C2311yescharacteristic
265C26×C4C2311yescharacteristic
266C22×#546C231256yescomplemented
267C22×D42C231256yescomplemented
268C23×#127C23124yes—
269C23×#124C23124yescomplemented
270C23×#123D4132yescomplemented
271C23×#123C23124yes—
272C23×#123C23124yescomplemented
273C23×#123C23124yescomplemented
274C23×C22⋊Q8C23124yescomplemented
275C23×#121D4132yescomplemented
276C23×#121D4132yescomplemented
277C23×#121C23124yes—
278C23×#121C23124yes—
279C23×#121C23124yes—
280C23×#121C23124yes—
281C23×#121C23124yes—
282C23×#121C23124yescomplemented
283C23×#121C23124yescomplemented
284C23×#121C23124yescomplemented
285C23×#120D4132yescomplemented
286C23×#120C23124yes—
287C23×#120C23124yes—
288C23×#120C23124yes—
289C23×#120C23124yes—
290C23×#120C23124yescomplemented
291C23×#120C23124yescomplemented
292C23×#120C23124yescomplemented
293C23×#120C23124yescomplemented
294C23×C4×D4C23124yes—
295C23×C4×D4C23124yes—
296C23×C4×D4C23124yescomplemented
297C23×C4×D4C23124yescomplemented
298C24×C4⋊C4C2311yescharacteristic
299C24×C4⋊C4C2311yescharacteristic
300C24×C4⋊C4C2311yescharacteristic
301C24×C4⋊C4C2311yescharacteristic
302C24×C4⋊C4C2311yescharacteristic
303C24×C4⋊C4C2311yescharacteristic
304C24×C4⋊C4C2311yescharacteristic
305C24×C4⋊C4C2311yescharacteristic
306C24×C4⋊C4C2311yescharacteristic
307C24×C22⋊C4C2311yescharacteristic
308C24×C22⋊C4C2311yescharacteristic
309C24×C22⋊C4C2311yescharacteristic
310C24×C22⋊C4C2311yescharacteristic
311C24×C22⋊C4C2311yescharacteristic
312C24×C22⋊C4C2311yescharacteristic
313C24×C22⋊C4C2311yescharacteristic
314C24×C22⋊C4C2311yescharacteristic
315C24×C22⋊C4C2311yescharacteristic
316C24×C22⋊C4C2311yescharacteristic
317C24×C22⋊C4C2311yescharacteristic
318C24×C22⋊C4C2311yescharacteristic
319C24×C22⋊C4C2311yescharacteristic
320C24×C22⋊C4C2311yescharacteristic
321C24×C22⋊C4C2311yescharacteristic
322C24×C22⋊C4C2311yescharacteristic
323C24×C22⋊C4C2311yescharacteristic
324C24×C22⋊C4C2311yescharacteristic
325C24×C22⋊C4C2311yescharacteristic
326C24×C22⋊C4C2311yescharacteristic
327C24×C22⋊C4C2311yescharacteristic
328C24×C22⋊C4C2311yescharacteristic
329C24×C22⋊C4C2311yescharacteristic
330C24×C22⋊C4C2311yescharacteristic
331C24×C22⋊C4C2311yescharacteristic
332C24×C22⋊C4C2311yescharacteristic
333C24×C22⋊C4C2311yescharacteristic
334C24×C22⋊C4C2311yescharacteristic
335C24×C22⋊C4C2311yescharacteristic
336C24×C22⋊C4C2311yescharacteristic
337C24×C22⋊C4C2311yescharacteristic
338C24×C22⋊C4C2311yescharacteristic
339C24×C22⋊C4C2311yescharacteristic
340C24×C22⋊C4C2311yescharacteristic
341C24×C22⋊C4C2311yescharacteristic
342C24×C22⋊C4C2311yescharacteristic
343C24×C22⋊C4C2311yescharacteristic
344C24×C22⋊C4C2311yescharacteristic
345C24×C22⋊C4C2311yescharacteristic
346C24×C22⋊C4C2311yescharacteristic
347C24×C22⋊C4C2311yescharacteristic
348C24×C22⋊C4C2311yescharacteristic
349C24×C22⋊C4C2311yescharacteristic
350C24×C22⋊C4C2311yescharacteristic
351C24×C22⋊C4C2311yescharacteristic
352C24×C22⋊C4C2311yescharacteristic
353C24×C22⋊C4C2311yescharacteristic
354C24×C22⋊C4C2311yescharacteristic
355C24×C22⋊C4C2311yescharacteristic
356C24×C22⋊C4C2311yescharacteristic
357C24×C22⋊C4C2311yescharacteristic
358C24×C22⋊C4C2311yescharacteristic
359C24×C22⋊C4C2311yescharacteristic
360C24×C22⋊C4C2311yescharacteristic
361C24×C22⋊C4C2311yescharacteristic
362C24×C22⋊C4C2311yescharacteristic
363C24×C22⋊C4C2311yescharacteristic
364C24×C22⋊C4C2311yescharacteristic
365C24×C22⋊C4C2311yescharacteristic
366C24×C22⋊C4C2311yescharacteristic
367C24×C22⋊C4C2311yescharacteristic
368C24×C22⋊C4C2311yescharacteristic
369C24×C22⋊C4C2311yescharacteristic
370C24×C22⋊C4C2311yescharacteristic
371C24×C22⋊C4C23124yescomplemented
372C24×C22⋊C4C23124yescomplemented
373C24×C22⋊C4C23124yescomplemented
374C24×C22⋊C4C23124yescomplemented
375C24×C22⋊C4C23124yescomplemented
376C24×C42C2311yescharacteristic
377C24×C42C2311yescharacteristic
378C2×#2430C231256yescomplemented
379C2×#2404C231256yescomplemented
380C2×#2405C231256yescomplemented
381C2×#2410C231256yescomplemented
382C22×#395C23124yescomplemented
383C22×#394C23124yescomplemented
384C22×#394C23124yescomplemented
385C22×#394C23124yescomplemented
386C22×#394C23124yescomplemented
387C22×#394C23124yescomplemented
388C22×#394C23124yescomplemented
389C22×#394C23124yescomplemented
390C22×#393C23124yescomplemented
391C22×#393C23124yescomplemented
392C22×#393C23124yescomplemented
393C22×#392C23124yes—
394C22×#392C23124yescomplemented
395C22×#392C23124yescomplemented
396C22×#392C23124yescomplemented
397C22×#392C23124yescomplemented
398C22×#392C23124yescomplemented
399C22×#392C23124yescomplemented
400C22×#392C23124yescomplemented
401C22×#392C23124yescomplemented
402C22×#392C23124yescomplemented
403C22×#392C23124yescomplemented
404C22×#386C23124yes—
405C22×#386C23124yes—
406C22×#386C23124yescomplemented
407C22×#386C23124yescomplemented
408C22×#386C23124yescomplemented
409C22×#386C23124yescomplemented
410C22×#386C23124yescomplemented
411C22×#386C23124yescomplemented
412C22×#386C23124yescomplemented
413C22×#386C23124yescomplemented
414C22×#386C23124yescomplemented
415C22×#386C23124yescomplemented
416C22×#386C23124yescomplemented
417C22×#386C23124yescomplemented
418C22×#386C23124yescomplemented
419C22×#386C23124yescomplemented
420C22×#386C23124yescomplemented
421C22×#386C23124yescomplemented
422C22×#386C23124yescomplemented
423C22×#385C23124yescomplemented
424C22×#385C23124yescomplemented
425C22×#385C23124yescomplemented
426C22×#385C23124yescomplemented
427C22×#385C23124yescomplemented
428C22×#381C23124yescomplemented
429C22×#379C23124yescomplemented
430C22×#379C23124yescomplemented
431C22×#379C23124yescomplemented
432C22×#379C23124yescomplemented
433C22×#379C23124yescomplemented
434C22×#379C23124yescomplemented
435C22×#379C23124yescomplemented
436C23×#95C2311yescharacteristic
437C23×#95C2311yescharacteristic
438C23×#95C2311yescharacteristic
439C23×#95C2311yescharacteristic
440C23×#95C2311yescharacteristic
441C23×#95C2311yescharacteristic
442C23×#95C2311yescharacteristic
443C23×#95C2311yescharacteristic
444C23×#95C2311yescharacteristic
445C23×#95C2311yescharacteristic
446C23×#95C2311yescharacteristic
447C23×#95C2311yescharacteristic
448C23×#95C2311yescharacteristic
449C23×#95C2311yescharacteristic
450C23×#95C2311yescharacteristic
451C23×#95C2311yescharacteristic
452C23×#95C2311yescharacteristic
453C23×#95C2311yescharacteristic
454C23×#95C2311yescharacteristic
455C23×#95C2311yescharacteristic
456C23×#95C2311yescharacteristic
457C23×#95C2311yescharacteristic
458C23×#95C2311yescharacteristic
459C23×#95C2311yescharacteristic
460C23×#95C2311yescharacteristic
461C23×#95C2311yescharacteristic
462C23×#95C2311yescharacteristic
463C23×#95C2311yescharacteristic
464C23×#95C2311yescharacteristic
465C23×#95C2311yescharacteristic
466C23×#95C2311yescharacteristic
467C23×#95C2311yescharacteristic
468C23×#95C2311yescharacteristic
469C23×#95C2311yescharacteristic
470C23×#95C2311yescharacteristic
471C23×#95C2311yescharacteristic
472C23×#95C2311yescharacteristic
473C23×#95C2311yescharacteristic
474C23×#95C2311yescharacteristic
475C23×#95C2311yescharacteristic
476C23×#95C23124yescomplemented
477C23×#95C23124yescomplemented
478#16253C231256yescomplemented
479#16249C231256yescomplemented
480#15950C231256yescomplemented
481#15673C231256yescomplemented
482#15310C231256yescomplemented
483#15263C231256yescomplemented
484#15263C231256yescomplemented
485#15261C231256yescomplemented
486#15259C231256yescomplemented
487#15257C231256yescomplemented
488#14911C231256yescomplemented
489#14723C231256yescomplemented
490#14722C231256yescomplemented
491#14718C231256yescomplemented
492#14716C231256yescomplemented
493#14715C231256yescomplemented
494#14715C231256yescomplemented
495#14171C231256yescomplemented
496#14023C231256yescomplemented
497#14023C231256yescomplemented
498#13968C231256yescomplemented
499#13967C231256yescomplemented
500#13867C231256yescomplemented
501#13867C231256yescomplemented
502C2×#1441C23124yescomplemented
503C2×#1441C23124yescomplemented
504C2×#1441C23124yescomplemented
505C2×#1441C23124yescomplemented
506C2×#1440C23124yescomplemented
507C2×#1440C23124yescomplemented
508C2×#1440C23124yescomplemented
509C2×#1440C23124yescomplemented
510C2×#1439C23124yescomplemented
511C2×#1439C23124yescomplemented
512C2×#1439C23124yescomplemented
513C2×#1439C23124yescomplemented
514C2×#1439C23124yescomplemented
515C2×#1439C23124yescomplemented
516C2×#1439C23124yescomplemented
517C2×#1439C23124yescomplemented
518C2×#1439C23124yescomplemented
519C2×#1439C23124yescomplemented
520C2×#1438C23124yes—
521C2×#1438C23124yes—
522C2×#1438C23124yes—
523C2×#1438C23124yescomplemented
524C2×#1438C23124yescomplemented
525C2×#1438C23124yescomplemented
526C2×#1438C23124yescomplemented
527C2×#1438C23124yescomplemented
528C2×#1438C23124yescomplemented
529C2×#1438C23124yescomplemented
530C2×#1438C23124yescomplemented
531C2×#1438C23124yescomplemented
532C2×#1438C23124yescomplemented
533C2×#1438C23124yescomplemented
534C2×#1438C23124yescomplemented
535C2×#1438C23124yescomplemented
536C2×#1438C23124yescomplemented
537C2×#1438C23124yescomplemented
538C2×#1438C23124yescomplemented
539C2×#1438C23124yescomplemented
540C2×#1438C23124yescomplemented
541C2×#1438C23124yescomplemented
542C2×#1438C23124yescomplemented
543C2×#1438C23124yescomplemented
544C2×#1438C23124yescomplemented
545C2×#1438C23124yescomplemented
546C2×#1438C23124yescomplemented
547C2×#1438C23124yescomplemented
548C2×#1438C231256yescomplemented
549C2×#1437C23124yescomplemented
550C2×#1437C23124yescomplemented
551C2×#1437C23124yescomplemented
552C2×#1437C23124yescomplemented
553C2×#1436C23124yescomplemented
554C2×#1436C23124yescomplemented
555C2×#1436C23124yescomplemented
556C2×#1436C23124yescomplemented
557C2×C22⋊#95C23124yescomplemented
558C2×C22⋊#95C23124yescomplemented
559C2×C22⋊#95C23124yescomplemented
560C2×C22⋊#95C23124yescomplemented
561C2×C22⋊#95C23124yescomplemented
562C2×C22⋊#95C23124yescomplemented
563C2×C22⋊#95C23124yescomplemented
564C2×C22⋊#95C23124yescomplemented
565C2×C22⋊#95C23124yescomplemented
566C27C2×D4116yes—
567C27C2×D4116yes—
568C27C2×D4116yes—
569C27C2411yescharacteristic
570C27C2411yescharacteristic
571C27C2411yescharacteristic
572C27C2411yescharacteristic
573C27C2411yescharacteristic
574C27C2411yescharacteristic
575C27C2411yescharacteristic
576C27C2411yescharacteristic
577C27C24112yes—
578C27C24112yes—
579C27C2411yescharacteristic
580C27C24112yes—
581C27C24112yes—
582C23×#41C24164yescomplemented
583C24×Q8C24112yes—
584C24×D4C2×D4116yes—
585C24×D4C2×D4116yes—
586C24×D4C2×D4116yes—
587C24×D4C2×D4116yes—
588C24×D4C2×D4116yes—
589C24×D4C2×D4116yes—
590C24×D4C2×D4116yes—
591C24×D4C2×D4116yes—
592C24×D4C2×D4116yes—
593C24×D4C2×D4116yes—
594C24×D4C2×D4116yes—
595C24×D4C2×D4116yes—
596C24×D4C2×D4116yescomplemented
597C24×D4C2×D41384yescomplemented
598C24×D4C2×D4116yescomplemented
599C24×D4#41116yescomplemented
600C24×D4C24112yes—
601C24×D4C24112yes—
602C24×D4C24112yes—
603C24×D4C24112yes—
604C24×D4C24112yes—
605C24×D4C24112yes—
606C24×D4C24112yes—
607C24×D4C24112yes—
608C24×D4C24164yes—
609C24×D4C24112yes—
610C24×D4C24112yes—
611C24×D4C24112yes—
612C24×D4C24164yes—
613C24×D4C24164yes—
614C24×D4C24112yes—
615C24×D4C24112yes—
616C24×D4C24112yes—
617C24×D4C24112yes—
618C24×D4C24112yes—
619C24×D4C24164yes—
620C24×D4C24112yes—
621C24×D4C24112yes—
622C24×D4C24112yes—
623C24×D4C24112yes—
624C24×D4C24112yes—
625C24×D4C24112yes—
626C24×D4C24112yes—
627C24×D4C24112yes—
628C25×C4C2×D4116yes—
629C25×C4C2×D4116yes—
630C25×C4C2×D4116yescomplemented
631C25×C4C2×D4116yescomplemented
632C25×C4C2411yescharacteristic
633C25×C4C2411yescharacteristic
634C25×C4C2411yescharacteristic
635C25×C4C2411yescharacteristic
636C25×C4C2411yescharacteristic
637C25×C4C2411yescharacteristic
638C25×C4C2411yescharacteristic
639C25×C4C2411yescharacteristic
640C25×C4C2411yescharacteristic
641C25×C4C2411yescharacteristic
642C25×C4C2411yescharacteristic
643C25×C4C2411yescharacteristic
644C25×C4C2411yescharacteristic
645C25×C4C2411yescharacteristic
646C25×C4C2411yescharacteristic
647C25×C4C2411yescharacteristic
648C25×C4C2411yescharacteristic
649C25×C4C2411yescharacteristic
650C25×C4C24112yes—
651C25×C4C2411yescharacteristic
652C25×C4C24112yes—
653C25×C4C24112yes—
654C25×C4C24112yes—
655C25×C4C24112yes—
656C25×C4C24112yes—
657C25×C4C24112yes—
658C25×C4C24112yes—
659C25×C4C2411yescharacteristic
660C25×C4C2411yescharacteristic
661C25×C4C2411yescharacteristic
662C25×C4C24112yes—
663C25×C4C24112yes—
664C25×C4C24112yes—
665C22×#127C24164yes—
666C22×#124C24164yescomplemented
667C22×#123C2×D41384yescomplemented
668C22×#123C24164yes—
669C22×#123C24164yescomplemented
670C22×#123C24164yescomplemented
671C22×C22⋊Q8C24164yescomplemented
672C22×#121C2×D41384yescomplemented
673C22×#121C2×D41384yescomplemented
674C22×#121C24164yes—
675C22×#121C24164yes—
676C22×#121C24164yes—
677C22×#121C24164yes—
678C22×#121C24164yes—
679C22×#121C24164yescomplemented
680C22×#121C24164yescomplemented
681C22×#121C24164yescomplemented
682C22×#120C2×D41384yescomplemented
683C22×#120C24164yes—
684C22×#120C24164yes—
685C22×#120C24164yes—
686C22×#120C24164yes—
687C22×#120C24164yescomplemented
688C22×#120C24164yescomplemented
689C22×#120C24164yescomplemented
690C22×#120C24164yescomplemented
691C22×C4×D4C24164yes—
692C22×C4×D4C24164yes—
693C22×C4×D4C24164yescomplemented
694C22×C4×D4C24164yescomplemented
695C23×C4⋊C4C2×D4116yes—
696C23×C4⋊C4C2×D4116yescomplemented
697C23×C4⋊C4C2×D4116yescomplemented
698C23×C4⋊C4C2×D4116yescomplemented
699C23×C4⋊C4C24112yes—
700C23×C4⋊C4C24112yes—
701C23×C4⋊C4C24112yes—
702C23×C4⋊C4C24112yes—
703C23×C4⋊C4C24112yes—
704C23×C4⋊C4C24112yes—
705C23×C4⋊C4C24112yes—
706C23×C4⋊C4C24112yes—
707C23×C4⋊C4C24112yes—
708C23×C22⋊C4C2×D4116yes—
709C23×C22⋊C4C2×D4116yes—
710C23×C22⋊C4C2×D4116yes—
711C23×C22⋊C4C2×D4116yes—
712C23×C22⋊C4C2×D4116yes—
713C23×C22⋊C4C2×D4116yescomplemented
714C23×C22⋊C4C2×D4116yescomplemented
715C23×C22⋊C4C2×D4116yescomplemented
716C23×C22⋊C4C2×D4116yescomplemented
717C23×C22⋊C4C2×D4116yescomplemented
718C23×C22⋊C4C24112yes—
719C23×C22⋊C4C24112yes—
720C23×C22⋊C4C24112yes—
721C23×C22⋊C4C24112yes—
722C23×C22⋊C4C24112yes—
723C23×C22⋊C4C24112yes—
724C23×C22⋊C4C24112yes—
725C23×C22⋊C4C24112yes—
726C23×C22⋊C4C24112yes—
727C23×C22⋊C4C24112yes—
728C23×C22⋊C4C24112yes—
729C23×C22⋊C4C24112yes—
730C23×C22⋊C4C24112yes—
731C23×C22⋊C4C24112yes—
732C23×C22⋊C4C24112yes—
733C23×C22⋊C4C24112yes—
734C23×C22⋊C4C24112yes—
735C23×C22⋊C4C24112yes—
736C23×C22⋊C4C24112yes—
737C23×C22⋊C4C24112yes—
738C23×C22⋊C4C24112yes—
739C23×C22⋊C4C24112yes—
740C23×C22⋊C4C24112yes—
741C23×C22⋊C4C24112yes—
742C23×C22⋊C4C24112yes—
743C23×C22⋊C4C24112yes—
744C23×C22⋊C4C24112yes—
745C23×C22⋊C4C24112yes—
746C23×C22⋊C4C24112yes—
747C23×C22⋊C4C24112yes—
748C23×C22⋊C4C24112yes—
749C23×C22⋊C4C24112yes—
750C23×C22⋊C4C24112yes—
751C23×C22⋊C4C24112yes—
752C23×C22⋊C4C24112yes—
753C23×C22⋊C4C24112yes—
754C23×C22⋊C4C24112yes—
755C23×C22⋊C4C24112yes—
756C23×C22⋊C4C24112yes—
757C23×C22⋊C4C24112yes—
758C23×C22⋊C4C24112yes—
759C23×C22⋊C4C24112yes—
760C23×C22⋊C4C24112yes—
761C23×C22⋊C4C24112yes—
762C23×C22⋊C4C24112yes—
763C23×C22⋊C4C24112yes—
764C23×C22⋊C4C24112yes—
765C23×C22⋊C4C24112yes—
766C23×C22⋊C4C24112yes—
767C23×C22⋊C4C24112yes—
768C23×C22⋊C4C24112yes—
769C23×C22⋊C4C24112yes—
770C23×C22⋊C4C24112yes—
771C23×C22⋊C4C24112yes—
772C23×C22⋊C4C24112yes—
773C23×C22⋊C4C24112yes—
774C23×C22⋊C4C24112yes—
775C23×C22⋊C4C24112yes—
776C23×C22⋊C4C24112yes—
777C23×C22⋊C4C24112yes—
778C23×C22⋊C4C24112yes—
779C23×C22⋊C4C24112yes—
780C23×C22⋊C4C24112yes—
781C23×C22⋊C4C24112yes—
782C23×C22⋊C4C24164yescomplemented
783C23×C22⋊C4C24164yescomplemented
784C23×C22⋊C4C24164yescomplemented
785C23×C22⋊C4C24164yescomplemented
786C23×C22⋊C4C24164yescomplemented
787C23×C42C24112yes—
788C23×C42C24112yes—
789C2×#395C24164yescomplemented
790C2×#394C24164yescomplemented
791C2×#394C24164yescomplemented
792C2×#394C24164yescomplemented
793C2×#394C24164yescomplemented
794C2×#394C24164yescomplemented
795C2×#394C24164yescomplemented
796C2×#394C24164yescomplemented
797C2×#393C24164yescomplemented
798C2×#393C24164yescomplemented
799C2×#393C24164yescomplemented
800C2×#392C24164yes—
801C2×#392C24164yescomplemented
802C2×#392C24164yescomplemented
803C2×#392C24164yescomplemented
804C2×#392C24164yescomplemented
805C2×#392C24164yescomplemented
806C2×#392C24164yescomplemented
807C2×#392C24164yescomplemented
808C2×#392C24164yescomplemented
809C2×#392C24164yescomplemented
810C2×#392C24164yescomplemented
811C2×#386C24164yes—
812C2×#386C24164yes—
813C2×#386C24164yescomplemented
814C2×#386C24164yescomplemented
815C2×#386C24164yescomplemented
816C2×#386C24164yescomplemented
817C2×#386C24164yescomplemented
818C2×#386C24164yescomplemented
819C2×#386C24164yescomplemented
820C2×#386C24164yescomplemented
821C2×#386C24164yescomplemented
822C2×#386C24164yescomplemented
823C2×#386C24164yescomplemented
824C2×#386C24164yescomplemented
825C2×#386C24164yescomplemented
826C2×#386C24164yescomplemented
827C2×#386C24164yescomplemented
828C2×#386C24164yescomplemented
829C2×#386C24164yescomplemented
830C2×#385C24164yescomplemented
831C2×#385C24164yescomplemented
832C2×#385C24164yescomplemented
833C2×#385C24164yescomplemented
834C2×#385C24164yescomplemented
835C2×#381C24164yescomplemented
836C2×#379C24164yescomplemented
837C2×#379C24164yescomplemented
838C2×#379C24164yescomplemented
839C2×#379C24164yescomplemented
840C2×#379C24164yescomplemented
841C2×#379C24164yescomplemented
842C2×#379C24164yescomplemented
843C22×#95C24112yes—
844C22×#95C24112yes—
845C22×#95C24112yes—
846C22×#95C24112yes—
847C22×#95C24112yes—
848C22×#95C24112yes—
849C22×#95C24112yes—
850C22×#95C24112yes—
851C22×#95C24112yes—
852C22×#95C24112yes—
853C22×#95C24112yes—
854C22×#95C24112yes—
855C22×#95C24112yes—
856C22×#95C24112yes—
857C22×#95C24112yes—
858C22×#95C24112yes—
859C22×#95C24112yes—
860C22×#95C24112yes—
861C22×#95C24112yes—
862C22×#95C24112yes—
863C22×#95C24112yes—
864C22×#95C24112yes—
865C22×#95C24112yes—
866C22×#95C24112yes—
867C22×#95C24112yes—
868C22×#95C24112yes—
869C22×#95C24112yes—
870C22×#95C24112yes—
871C22×#95C24112yes—
872C22×#95C24112yes—
873C22×#95C24112yes—
874C22×#95C24112yes—
875C22×#95C24112yes—
876C22×#95C24112yes—
877C22×#95C24112yes—
878C22×#95C24112yes—
879C22×#95C24112yes—
880C22×#95C24112yes—
881C22×#95C24112yes—
882C22×#95C24112yes—
883C22×#95C24164yescomplemented
884C22×#95C24164yescomplemented
885#1441C24164yescomplemented
886#1441C24164yescomplemented
887#1441C24164yescomplemented
888#1441C24164yescomplemented
889#1440C24164yescomplemented
890#1440C24164yescomplemented
891#1440C24164yescomplemented
892#1440C24164yescomplemented
893#1439C24164yescomplemented
894#1439C24164yescomplemented
895#1439C24164yescomplemented
896#1439C24164yescomplemented
897#1439C24164yescomplemented
898#1439C24164yescomplemented
899#1439C24164yescomplemented
900#1439C24164yescomplemented
901#1439C24164yescomplemented
902#1439C24164yescomplemented
903#1438C24164yes—
904#1438C24164yes—
905#1438C24164yes—
906#1438C24164yescomplemented
907#1438C24164yescomplemented
908#1438C24164yescomplemented
909#1438C24164yescomplemented
910#1438C24164yescomplemented
911#1438C24164yescomplemented
912#1438C24164yescomplemented
913#1438C24164yescomplemented
914#1438C24164yescomplemented
915#1438C24164yescomplemented
916#1438C24164yescomplemented
917#1438C24164yescomplemented
918#1438C24164yescomplemented
919#1438C24164yescomplemented
920#1438C24164yescomplemented
921#1438C24164yescomplemented
922#1438C24164yescomplemented
923#1438C24164yescomplemented
924#1438C24164yescomplemented
925#1438C24164yescomplemented
926#1438C24164yescomplemented
927#1438C24164yescomplemented
928#1438C24164yescomplemented
929#1438C24164yescomplemented
930#1438C24164yescomplemented
931#1437C24164yescomplemented
932#1437C24164yescomplemented
933#1437C24164yescomplemented
934#1437C24164yescomplemented
935#1436C24164yescomplemented
936#1436C24164yescomplemented
937#1436C24164yescomplemented
938#1436C24164yescomplemented
939C22⋊#95C24164yescomplemented
940C22⋊#95C24164yescomplemented
941C22⋊#95C24164yescomplemented
942C22⋊#95C24164yescomplemented
943C22⋊#95C24164yescomplemented
944C22⋊#95C24164yescomplemented
945C22⋊#95C24164yescomplemented
946C22⋊#95C24164yescomplemented
947C22⋊#95C24164yescomplemented
948C26C22×D418yes—
949C26C22×D418yes—
950C26C22×D418yes—
951C26C22×D418yes—
952C26C22×D418yes—
953C26C22×D418yes—
954C26C22×D418yes—
955C26C22×D418yes—
956C26C22×D418yes—
957C26C22×D418yes—
958C26C22×D418yes—
959C26C22×D418yes—
960C26C22×D4196yes—
961C26C22×D4196yes—
962C26C22×D418yes—
963C26C22×D418yes—
964C26C22×D418yes—
965C26C22×D418yes—
966C26C22×D418yes—
967C26C22×D4196yes—
968C26C2×#4118yes—
969C26C2×#4118yes—
970C26H(5,𝔽2)18yes—
971C26H(5,𝔽2)18yes—
972C26H(5,𝔽2)18yes—
973C26H(5,𝔽2)18yes—
974C26C2516yes—
975C26C2516yes—
976C26C2516yes—
977C26C2516yes—
978C26C2516yes—
979C26C2516yes—
980C26C2516yes—
981C26C2516yes—
982C26C25116yes—
983C26C25116yes—
984C26C2516yes—
985C26C25116yes—
986C26C25116yes—
987C26C2511yescharacteristic
988C23×Q8C25116yes—
989C23×D4#1201256yes—
990C23×D4#1201256yescomplemented
991C23×D4C22×D4196yes—
992C23×D4C22×D4196yes—
993C23×D4C22×D4196yes—
994C23×D4C22×D4196yes—
995C23×D4C22×D4196yes—
996C23×D4C22×D4196yes—
997C23×D4C22×D4196yes—
998C23×D4C22×D4196yes—
999C23×D4C22×D4196yes—
1000C23×D4C22×D4196yes—
1001C23×D4C22×D4196yes—
1002C23×D4C22×D4196yes—
1003C23×D4C22×D4196yescomplemented
1004C23×D4C22×D41512yescomplemented
1005C23×D4C22×D4196yescomplemented
1006C23×D4C2×#41196yescomplemented
1007C23×D4C25116yes—
1008C23×D4C25116yes—
1009C23×D4C25116yes—
1010C23×D4C25116yes—
1011C23×D4C25116yes—
1012C23×D4C25116yes—
1013C23×D4C25116yes—
1014C23×D4C25116yes—
1015C23×D4C25116yes—
1016C23×D4C25116yes—
1017C23×D4C25116yes—
1018C23×D4C25116yes—
1019C23×D4C25116yes—
1020C23×D4C25116yes—
1021C23×D4C25116yes—
1022C23×D4C25116yes—
1023C23×D4C25116yes—
1024C23×D4C25116yes—
1025C23×D4C25116yes—
1026C23×D4C25116yes—
1027C23×D4C25116yes—
1028C23×D4C25116yes—
1029C23×D4C25116yes—
1030C23×D4C25116yes—
1031C24×C4C22×D418yes—
1032C24×C4C22×D418yes—
1033C24×C4C22×D418yes—
1034C24×C4C22×D418yes—
1035C24×C4C22×D418yes—
1036C24×C4C22×D418yes—
1037C24×C4C22×D418yes—
1038C24×C4C22×D418yes—
1039C24×C4C22×D418yes—
1040C24×C4C22×D418yes—
1041C24×C4C22×D418yes—
1042C24×C4C22×D4196yes—
1043C24×C4C22×D4196yes—
1044C24×C4C22×D418yes—
1045C24×C4C22×D418yes—
1046C24×C4C22×D418yes—
1047C24×C4C22×D418yes—
1048C24×C4C22×D418yes—
1049C24×C4C22×D418yes—
1050C24×C4C22×D418yes—
1051C24×C4C22×D4196yescomplemented
1052C24×C4C22×D4196yescomplemented
1053C24×C4C2×#4118yes—
1054C24×C4H(5,𝔽2)18yes—
1055C24×C4H(5,𝔽2)18yes—
1056C24×C4C2516yes—
1057C24×C4C2516yes—
1058C24×C4C2516yes—
1059C24×C4C2516yes—
1060C24×C4C2516yes—
1061C24×C4C2516yes—
1062C24×C4C2516yes—
1063C24×C4C2516yes—
1064C24×C4C2516yes—
1065C24×C4C2516yes—
1066C24×C4C2516yes—
1067C24×C4C2516yes—
1068C24×C4C2516yes—
1069C24×C4C2516yes—
1070C24×C4C2516yes—
1071C24×C4C2516yes—
1072C24×C4C2516yes—
1073C24×C4C2516yes—
1074C24×C4C25116yes—
1075C24×C4C2516yes—
1076C24×C4C25116yes—
1077C24×C4C25116yes—
1078C24×C4C25116yes—
1079C24×C4C25116yes—
1080C24×C4C25116yes—
1081C24×C4C25116yes—
1082C24×C4C25116yes—
1083C24×C4C2516yes—
1084C24×C4C2516yes—
1085C24×C4C2516yes—
1086C24×C4C25116yes—
1087C24×C4C25116yes—
1088C24×C4C25116yes—
1089C2×#123C22×D41512yescomplemented
1090C2×#121C22×D41512yescomplemented
1091C2×#121C22×D41512yescomplemented
1092C2×#120C22×D41512yescomplemented
1093C22×C4⋊C4C22×D4196yes—
1094C22×C4⋊C4C22×D4196yescomplemented
1095C22×C4⋊C4C22×D4196yescomplemented
1096C22×C4⋊C4C22×D4196yescomplemented
1097C22×C4⋊C4C25116yes—
1098C22×C4⋊C4C25116yes—
1099C22×C4⋊C4C25116yes—
1100C22×C4⋊C4C25116yes—
1101C22×C4⋊C4C25116yes—
1102C22×C4⋊C4C25116yes—
1103C22×C4⋊C4C25116yes—
1104C22×C4⋊C4C25116yes—
1105C22×C4⋊C4C25116yes—
1106C22×C22⋊C4C22×D4196yes—
1107C22×C22⋊C4C22×D4196yes—
1108C22×C22⋊C4C22×D4196yes—
1109C22×C22⋊C4C22×D4196yes—
1110C22×C22⋊C4C22×D4196yes—
1111C22×C22⋊C4C22×D4196yescomplemented
1112C22×C22⋊C4C22×D4196yescomplemented
1113C22×C22⋊C4C22×D4196yescomplemented
1114C22×C22⋊C4C22×D4196yescomplemented
1115C22×C22⋊C4C22×D4196yescomplemented
1116C22×C22⋊C4C25116yes—
1117C22×C22⋊C4C25116yes—
1118C22×C22⋊C4C25116yes—
1119C22×C22⋊C4C25116yes—
1120C22×C22⋊C4C25116yes—
1121C22×C22⋊C4C25116yes—
1122C22×C22⋊C4C25116yes—
1123C22×C22⋊C4C25116yes—
1124C22×C22⋊C4C25116yes—
1125C22×C22⋊C4C25116yes—
1126C22×C22⋊C4C25116yes—
1127C22×C22⋊C4C25116yes—
1128C22×C22⋊C4C25116yes—
1129C22×C22⋊C4C25116yes—
1130C22×C22⋊C4C25116yes—
1131C22×C22⋊C4C25116yes—
1132C22×C22⋊C4C25116yes—
1133C22×C22⋊C4C25116yes—
1134C22×C22⋊C4C25116yes—
1135C22×C22⋊C4C25116yes—
1136C22×C22⋊C4C25116yes—
1137C22×C22⋊C4C25116yes—
1138C22×C22⋊C4C25116yes—
1139C22×C22⋊C4C25116yes—
1140C22×C22⋊C4C25116yes—
1141C22×C22⋊C4C25116yes—
1142C22×C22⋊C4C25116yes—
1143C22×C22⋊C4C25116yes—
1144C22×C22⋊C4C25116yes—
1145C22×C22⋊C4C25116yes—
1146C22×C22⋊C4C25116yes—
1147C22×C22⋊C4C25116yes—
1148C22×C22⋊C4C25116yes—
1149C22×C22⋊C4C25116yes—
1150C22×C22⋊C4C25116yes—
1151C22×C22⋊C4C25116yes—
1152C22×C22⋊C4C25116yes—
1153C22×C22⋊C4C25116yes—
1154C22×C22⋊C4C25116yes—
1155C22×C22⋊C4C25116yes—
1156C22×C22⋊C4C25116yes—
1157C22×C22⋊C4C25116yes—
1158C22×C22⋊C4C25116yes—
1159C22×C22⋊C4C25116yes—
1160C22×C22⋊C4C25116yes—
1161C22×C22⋊C4C25116yes—
1162C22×C22⋊C4C25116yes—
1163C22×C22⋊C4C25116yes—
1164C22×C22⋊C4C25116yes—
1165C22×C22⋊C4C25116yes—
1166C22×C22⋊C4C25116yes—
1167C22×C22⋊C4C25116yes—
1168C22×C22⋊C4C25116yes—
1169C22×C22⋊C4C25116yes—
1170C22×C22⋊C4C25116yes—
1171C22×C22⋊C4C25116yes—
1172C22×C22⋊C4C25116yes—
1173C22×C22⋊C4C25116yes—
1174C22×C22⋊C4C25116yes—
1175C22×C22⋊C4C25116yes—
1176C22×C22⋊C4C25116yes—
1177C22×C22⋊C4C25116yes—
1178C22×C22⋊C4C25116yes—
1179C22×C22⋊C4C25116yes—
1180C22×C42C25116yes—
1181C22×C42C25116yes—
1182C2×#95C25116yes—
1183C2×#95C25116yes—
1184C2×#95C25116yes—
1185C2×#95C25116yes—
1186C2×#95C25116yes—
1187C2×#95C25116yes—
1188C2×#95C25116yes—
1189C2×#95C25116yes—
1190C2×#95C25116yes—
1191C2×#95C25116yes—
1192C2×#95C25116yes—
1193C2×#95C25116yes—
1194C2×#95C25116yes—
1195C2×#95C25116yes—
1196C2×#95C25116yes—
1197C2×#95C25116yes—
1198C2×#95C25116yes—
1199C2×#95C25116yes—
1200C2×#95C25116yes—
1201C2×#95C25116yes—
1202C2×#95C25116yes—
1203C2×#95C25116yes—
1204C2×#95C25116yes—
1205C2×#95C25116yes—
1206C2×#95C25116yes—
1207C2×#95C25116yes—
1208C2×#95C25116yes—
1209C2×#95C25116yes—
1210C2×#95C25116yes—
1211C2×#95C25116yes—
1212C2×#95C25116yes—
1213C2×#95C25116yes—
1214C2×#95C25116yes—
1215C2×#95C25116yes—
1216C2×#95C25116yes—
1217C2×#95C25116yes—
1218C2×#95C25116yes—
1219C2×#95C25116yes—
1220C2×#95C25116yes—
1221C2×#95C25116yes—
1222C25C2×#120164yes—
1223C25C2×#120164yes—
1224C25C2×#120164yes—
1225C25C2×#120164yes—
1226C25#534164yes—
1227C25D42164yes—
1228C25D42164yes—
1229C25D42164yes—
1230C25D42164yes—
1231C25#546164yes—
1232C25#546164yescomplemented
1233C25C23×D4124yes—
1234C25C23×D4124yes—
1235C25C23×D4124yes—
1236C25C23×D4124yes—
1237C25C23×D4124yes—
1238C25C23×D4124yes—
1239C25C23×D4124yes—
1240C25C23×D4124yes—
1241C25C23×D4124yes—
1242C25C23×D4124yes—
1243C25C23×D4124yes—
1244C25C23×D4124yes—
1245C25C23×D4164yes—
1246C25C23×D4164yes—
1247C25C23×D4124yes—
1248C25C23×D4124yes—
1249C25C23×D4124yes—
1250C25C23×D4124yes—
1251C25C23×D4124yes—
1252C25C23×D4164yes—
1253C25C23×D414yes—
1254C25C23×D414yes—
1255C25C23×D414yes—
1256C25C23×D414yes—
1257C25C23×D414yes—
1258C25C22×#41124yes—
1259C25C22×#41124yes—
1260C25C22×#4114yes—
1261C25C2×H(5,𝔽2)124yes—
1262C25C2×H(5,𝔽2)124yes—
1263C25C2×H(5,𝔽2)124yes—
1264C25C2×H(5,𝔽2)124yes—
1265C25C2×H(5,𝔽2)14yes—
1266C25C2×H(5,𝔽2)14yes—
1267C25C2×H(5,𝔽2)14yes—
1268C25C2×H(5,𝔽2)14yes—
1269C25C2×H(5,𝔽2)14yes—
1270C25C2×H(5,𝔽2)14yes—
1271C25#58514yes—
1272C25#58514yes—
1273C25#58514yes—
1274C25C2614yes—
1275C25C2614yes—
1276C25C2614yes—
1277C25C2614yes—
1278C25C2614yes—
1279C25C2614yes—
1280C25C2614yes—
1281C25C2614yes—
1282C25C2614yes—
1283C25C2613yes—
1284C22×D4C2×#1201768yes—
1285C22×D4C2×#1201768yescomplemented
1286C22×D4C23×D4164yes—
1287C22×D4C23×D4164yes—
1288C22×D4C23×D4164yes—
1289C22×D4C23×D4164yes—
1290C22×D4C23×D4164yes—
1291C22×D4C23×D4164yes—
1292C22×D4C23×D4164yes—
1293C22×D4C23×D4164yes—
1294C22×D4C23×D4164yes—
1295C22×D4C23×D4164yes—
1296C22×D4C23×D4164yes—
1297C22×D4C23×D4164yes—
1298C22×D4C23×D4164yescomplemented
1299C22×D4C23×D4164yescomplemented
1300C22×D4C22×#41164yescomplemented
1301C23×C4C2×#120164yes—
1302C23×C4C2×#120164yes—
1303C23×C4#546164yescomplemented
1304C23×C4C23×D4124yes—
1305C23×C4C23×D4124yes—
1306C23×C4C23×D4124yes—
1307C23×C4C23×D4124yes—
1308C23×C4C23×D4124yes—
1309C23×C4C23×D4124yes—
1310C23×C4C23×D4124yes—
1311C23×C4C23×D4124yes—
1312C23×C4C23×D4124yes—
1313C23×C4C23×D4124yes—
1314C23×C4C23×D4124yes—
1315C23×C4C23×D4164yes—
1316C23×C4C23×D4164yes—
1317C23×C4C23×D4124yes—
1318C23×C4C23×D4124yes—
1319C23×C4C23×D4124yes—
1320C23×C4C23×D4124yes—
1321C23×C4C23×D4124yes—
1322C23×C4C23×D4124yes—
1323C23×C4C23×D4124yes—
1324C23×C4C23×D4164yescomplemented
1325C23×C4C23×D4164yescomplemented
1326C23×C4C22×#41124yes—
1327C23×C4C2×H(5,𝔽2)124yes—
1328C23×C4C2×H(5,𝔽2)124yes—
1329C23×C4C2614yes—
1330C23×C4C2614yes—
1331C23×C4C2614yes—
1332C23×C4C2614yes—
1333C23×C4C2614yes—
1334C23×C4C2614yes—
1335C23×C4C2614yes—
1336C23×C4C2614yes—
1337C23×C4C2614yes—
1338C23×C4C2614yes—
1339C23×C4C2614yes—
1340C23×C4C2614yes—
1341C23×C4C2614yes—
1342C23×C4C2614yes—
1343C23×C4C2614yes—
1344C23×C4C2614yes—
1345C23×C4C2614yes—
1346C23×C4C2614yes—
1347C23×C4C2614yes—
1348C23×C4C2614yes—
1349C23×C4C2614yes—
1350C23×C4C2614yes—
1351C2×C4⋊C4C23×D4164yes—
1352C2×C4⋊C4C23×D4164yescomplemented
1353C2×C4⋊C4C23×D4164yescomplemented
1354C2×C4⋊C4C23×D4164yescomplemented
1355C2×C22⋊C4C23×D4164yes—
1356C2×C22⋊C4C23×D4164yes—
1357C2×C22⋊C4C23×D4164yes—
1358C2×C22⋊C4C23×D4164yes—
1359C2×C22⋊C4C23×D4164yes—
1360C2×C22⋊C4C23×D4164yescomplemented
1361C2×C22⋊C4C23×D4164yescomplemented
1362C2×C22⋊C4C23×D4164yescomplemented
1363C2×C22⋊C4C23×D4164yescomplemented
1364C2×C22⋊C4C23×D4164yescomplemented
1365C24#24031512yes—
1366C24C22×#120196yes—
1367C24C22×#120196yes—
1368C24C22×#120196yes—
1369C24C22×#120196yes—
1370C24C22×#120116yes—
1371C24C22×#120116yes—
1372C24C2×#534196yes—
1373C24C2×#534116yes—
1374C24C2×D42196yes—
1375C24C2×D42196yes—
1376C24C2×D42196yes—
1377C24C2×D42196yes—
1378C24C2×D42116yes—
1379C24C2×D42116yes—
1380C24C2×D42116yes—
1381C24C2×D42116yes—
1382C24C2×#546196yes—
1383C24C2×#546116yes—
1384C24C2×#546116yes—
1385C24C2×#546116yes—
1386C24C2×#546196yescomplemented
1387C24D4×#41116yes—
1388C24D4×#41116yes—
1389C24#3484116yes—
1390C24#3484116yes—
1391C24#3484116yes—
1392C24#3484116yes—
1393C24#3485116yes—
1394C24#3485116yes—
1395C24#3488116yes—
1396C24#3488116yes—
1397C24#3488116yes—
1398C24#3488116yes—
1399C24#3496116yes—
1400C24#3496116yes—
1401C24#3496116yes—
1402C24#3498116yes—
1403C24#3500116yes—
1404C24#3513116yes—
1405C24#3519116yes—
1406C24#3532116yes—
1407C24#3534116yes—
1408C24#3534116yes—
1409C24#3534116yes—
1410C24#3542116yes—
1411C24#3558116yes—
1412C24C24×D418yes—
1413C24C24×D418yes—
1414C24C24×D418yes—
1415C24C24×D418yes—
1416C24C24×D418yes—
1417C24C24×D418yes—
1418C24C24×D418yes—
1419C24C24×D418yes—
1420C24C24×D418yes—
1421C24C24×D418yes—
1422C24C24×D418yes—
1423C24C24×D418yes—
1424C24C24×D418yes—
1425C24C24×D418yes—
1426C24C24×D418yes—
1427C24C24×D418yes—
1428C24C24×D418yes—
1429C24C24×D416yes—
1430C24C24×D416yes—
1431C24C24×D416yes—
1432C24C24×D416yes—
1433C24C24×D416yes—
1434C24C23×#4118yes—
1435C24C23×#4118yes—
1436C24C23×#4116yes—
1437C24C22×H(5,𝔽2)18yes—
1438C24C22×H(5,𝔽2)18yes—
1439C24C22×H(5,𝔽2)18yes—
1440C24C22×H(5,𝔽2)18yes—
1441C24C22×H(5,𝔽2)16yes—
1442C24C22×H(5,𝔽2)16yes—
1443C24C22×H(5,𝔽2)16yes—
1444C24C22×H(5,𝔽2)16yes—
1445C24C22×H(5,𝔽2)16yes—
1446C24C22×H(5,𝔽2)16yes—
1447C24C2×#58516yes—
1448C24C2×#58516yes—
1449C24C2×#58516yes—
1450C24C2711yescharacteristic
1451C2×D4C22×#1201256yes—
1452C2×D4C22×#1201256yescomplemented
1453C22×C4C22×#120196yes—
1454C22×C4C22×#120196yes—
1455C22×C4C2×#546196yescomplemented
1456C22×C4C24×D418yes—
1457C22×C4C24×D418yes—
1458C22×C4C24×D418yes—
1459C22×C4C24×D418yes—
1460C22×C4C24×D418yes—
1461C22×C4C24×D418yes—
1462C22×C4C24×D418yes—
1463C22×C4C24×D418yes—
1464C22×C4C24×D418yes—
1465C22×C4C24×D418yes—
1466C22×C4C24×D418yes—
1467C22×C4C24×D418yes—
1468C22×C4C24×D418yes—
1469C22×C4C24×D418yes—
1470C22×C4C24×D418yes—
1471C22×C4C24×D418yes—
1472C22×C4C24×D418yes—
1473C22×C4C24×D418yes—
1474C22×C4C23×#4118yes—
1475C22×C4C22×H(5,𝔽2)18yes—
1476C22×C4C22×H(5,𝔽2)18yes—
1477C23C2×#24031384yes—
1478C23C2×#2403164yes—
1479C23#35680164yes—
1480C23#35750164yes—
1481C23#36152164yes—
1482C23#36212164yes—
1483C23#38076164yes—
1484C23#40585164yes—
1485C23#43023164yes—
1486C23#43098164yes—
1487C23#43886164yes—
1488C23#43889164yes—
1489C23#58994164yes—
1490C23#59095164yes—
1491C23#59123164yes—
1492C23#59808164yes—
1493C23C23×#120116yes—
1494C23C23×#120116yes—
1495C23C23×#120116yes—
1496C23C23×#120116yes—
1497C23C23×#120112yes—
1498C23C23×#120112yes—
1499C23C22×#534116yes—
1500C23C22×#534112yes—
1501C23C22×D42116yes—
1502C23C22×D42116yes—
1503C23C22×D42116yes—
1504C23C22×D42116yes—
1505C23C22×D42112yes—
1506C23C22×D42112yes—
1507C23C22×D42112yes—
1508C23C22×D42112yes—
1509C23C22×#546116yes—
1510C23C22×#546112yes—
1511C23C22×#546112yes—
1512C23C22×#546112yes—
1513C23C22×#546116yescomplemented
1514C23C2×D4×#41112yes—
1515C23C2×D4×#41112yes—
1516C23C2×#3532112yes—
1517C23C2×#3542112yes—
1518C23C2×#3534112yes—
1519C23C2×#3534112yes—
1520C23C2×#3534112yes—
1521C23C2×#3558112yes—
1522C23C2×#3484112yes—
1523C23C2×#3484112yes—
1524C23C2×#3484112yes—
1525C23C2×#3484112yes—
1526C23C2×#3496112yes—
1527C23C2×#3496112yes—
1528C23C2×#3496112yes—
1529C23C2×#3513112yes—
1530C23C2×#3519112yes—
1531C23C2×#3485112yes—
1532C23C2×#3485112yes—
1533C23C2×#3488112yes—
1534C23C2×#3488112yes—
1535C23C2×#3488112yes—
1536C23C2×#3488112yes—
1537C23C2×#3498112yes—
1538C23C2×#3500112yes—
1539C23C25×D411yescharacteristic
1540C23C25×D411yescharacteristic
1541C23C25×D411yescharacteristic
1542C23C25×D411yescharacteristic
1543C23C25×D411yescharacteristic
1544C23C24×#4111yescharacteristic
1545C23C23×H(5,𝔽2)11yescharacteristic
1546C23C23×H(5,𝔽2)11yescharacteristic
1547C23C23×H(5,𝔽2)11yescharacteristic
1548C23C23×H(5,𝔽2)11yescharacteristic
1549C23C23×H(5,𝔽2)11yescharacteristic
1550C23C23×H(5,𝔽2)11yescharacteristic
1551C23C22×#58511yescharacteristic
1552C23C22×#58511yescharacteristic
1553C23C22×#58511yescharacteristic
1554C2×C4C23×#120116yes—
1555C2×C4C23×#120116yes—
1556C2×C4C22×#546116yescomplemented
1557C22#7727791256yesdirect product factor
1558C22C22×#2403132yes—
1559C22C22×#2403124yes—
1560C22C2×#35680124yes—
1561C22C2×#35750124yes—
1562C22C2×#36152124yes—
1563C22C2×#36212124yes—
1564C22C2×#38076124yes—
1565C22C2×#40585124yes—
1566C22C2×#59123124yes—
1567C22C2×#58994124yes—
1568C22C2×#59808124yes—
1569C22C2×#59095124yes—
1570C22C2×#43023124yes—
1571C22C2×#43098124yes—
1572C22C2×#43886124yes—
1573C22C2×#43889124yes—
1574C22C24×#12011yescharacteristic
1575C22C24×#12011yescharacteristic
1576C22C23×#53411yescharacteristic
1577C22C23×D4211yescharacteristic
1578C22C23×D4211yescharacteristic
1579C22C23×D4211yescharacteristic
1580C22C23×D4211yescharacteristic
1581C22C23×#54611yescharacteristic
1582C22C23×#54611yescharacteristic
1583C22C23×#54611yescharacteristic
1584C22C22×D4×#4111yescharacteristic
1585C22C22×D4×#4111yescharacteristic
1586C22C22×#348411yescharacteristic
1587C22C22×#348411yescharacteristic
1588C22C22×#348411yescharacteristic
1589C22C22×#348411yescharacteristic
1590C22C22×#349611yescharacteristic
1591C22C22×#349611yescharacteristic
1592C22C22×#349611yescharacteristic
1593C22C22×#351311yescharacteristic
1594C22C22×#351911yescharacteristic
1595C22C22×#348511yescharacteristic
1596C22C22×#348511yescharacteristic
1597C22C22×#348811yescharacteristic
1598C22C22×#348811yescharacteristic
1599C22C22×#348811yescharacteristic
1600C22C22×#348811yescharacteristic
1601C22C22×#349811yescharacteristic
1602C22C22×#350011yescharacteristic
1603C22C22×#353211yescharacteristic
1604C22C22×#354211yescharacteristic
1605C22C22×#353411yescharacteristic
1606C22C22×#353411yescharacteristic
1607C22C22×#353411yescharacteristic
1608C22C22×#355811yescharacteristic
1609C2C22×#3568011yescharacteristic
1610C2C23×#240311yescharacteristic
1611C2C22×#4309811yescharacteristic
1612C2C22×#5912311yescharacteristic
1613C2C22×#3615211yescharacteristic
1614C2C22×#3621211yescharacteristic
1615C2C22×#5899411yescharacteristic
1616C2C22×#4388611yescharacteristic
1617C2C22×#4302311yescharacteristic
1618C2C22×#3807611yescharacteristic
1619C2C2×#772779148yesdirect product factor
1620C2C22×#4388911yescharacteristic
1621C2C22×#5909511yescharacteristic
1622C2C22×#4058511yescharacteristic
1623C2C22×#5980811yescharacteristic
1624C2C22×#3575011yescharacteristic
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC24C27
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#14723C2semidirect
2. C22×#15950C2semidirect
3. C22×#16253C2semidirect
4. C22×#15673C2semidirect
5. C22×#13968C2semidirect
6. C22×#15261C2semidirect
7. C22×#15259C2semidirect
8. C22×#14171C2semidirect
9. C22×#15310C2semidirect
10. C22×#14023C2semidirect
11. C22×#14023C2semidirect
12. C22×#15263C2semidirect
13. C22×#15263C2semidirect
14. C22×#14722C2semidirect
15. C22×#14911C2semidirect
16. C22×#16249C2semidirect
17. C22×#14718C2semidirect
18. C23×#2405C2semidirect
19. C2×#772779C2direct (N × H)
20. C23×#2404C2semidirect
21. C23×#2430C2semidirect
22. C24×#546C2semidirect
23. C22×#15257C2semidirect
24. C23×#2410C2semidirect
25. C23×#1438C2semidirect
26. C22×#14716C2semidirect
27. C22×#13967C2semidirect
28. C22×#13867C2semidirect
29. C22×#13867C2semidirect
30. C22×#14715C2semidirect
31. C22×#14715C2semidirect
32. C24×D42C2semidirect
33. C25×#41C22semidirect
38. C23×#546C22semidirect
39. C23×D42C22semidirect
41. C24×#124C22semidirect
43. C24×#123C22semidirect
44. C24×#123C22semidirect
45. C24×C22⋊Q8C22semidirect
51. C24×#121C22semidirect
52. C24×#121C22semidirect
53. C24×#121C22semidirect
58. C24×#120C22semidirect
59. C24×#120C22semidirect
60. C24×#120C22semidirect
61. C24×#120C22semidirect
64. C24×C4×D4C22semidirect
65. C24×C4×D4C22semidirect
66. C25×C22⋊C4C22semidirect
67. C25×C22⋊C4C22semidirect
68. C25×C22⋊C4C22semidirect
69. C25×C22⋊C4C22semidirect
70. C25×C22⋊C4C22semidirect
71. C22×#2430C22semidirect
72. C22×#2404C22semidirect
73. C22×#2405C22semidirect
74. C22×#2410C22semidirect
75. C23×#395C22semidirect
76. C23×#394C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
80. C23×#394C22semidirect
81. C23×#394C22semidirect
82. C23×#394C22semidirect
83. C23×#393C22semidirect
84. C23×#393C22semidirect
85. C23×#393C22semidirect
87. C23×#392C22semidirect
88. C23×#392C22semidirect
89. C23×#392C22semidirect
90. C23×#392C22semidirect
91. C23×#392C22semidirect
92. C23×#392C22semidirect
93. C23×#392C22semidirect
94. C23×#392C22semidirect
95. C23×#392C22semidirect
96. C23×#392C22semidirect
99. C23×#386C22semidirect
100. C23×#386C22semidirect
101. C23×#386C22semidirect
102. C23×#386C22semidirect
103. C23×#386C22semidirect
104. C23×#386C22semidirect
105. C23×#386C22semidirect
106. C23×#386C22semidirect
107. C23×#386C22semidirect
108. C23×#386C22semidirect
109. C23×#386C22semidirect
110. C23×#386C22semidirect
111. C23×#386C22semidirect
112. C23×#386C22semidirect
113. C23×#386C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#385C22semidirect
117. C23×#385C22semidirect
118. C23×#385C22semidirect
119. C23×#385C22semidirect
120. C23×#385C22semidirect
121. C23×#381C22semidirect
122. C23×#379C22semidirect
123. C23×#379C22semidirect
124. C23×#379C22semidirect
125. C23×#379C22semidirect
126. C23×#379C22semidirect
127. C23×#379C22semidirect
128. C23×#379C22semidirect
129. C24×#95C22semidirect
130. C24×#95C22semidirect
131. #772779C22direct (N × H)
132. C2×#16253C22semidirect
133. C2×#16249C22semidirect
134. C2×#15950C22semidirect
135. C2×#15673C22semidirect
136. C2×#15310C22semidirect
137. C2×#15263C22semidirect
138. C2×#15263C22semidirect
139. C2×#15261C22semidirect
140. C2×#15259C22semidirect
141. C2×#15257C22semidirect
142. C2×#14911C22semidirect
143. C2×#14723C22semidirect
144. C2×#14722C22semidirect
145. C2×#14718C22semidirect
146. C2×#14716C22semidirect
147. C2×#14715C22semidirect
148. C2×#14715C22semidirect
149. C2×#14171C22semidirect
150. C2×#14023C22semidirect
151. C2×#14023C22semidirect
152. C2×#13968C22semidirect
153. C2×#13967C22semidirect
154. C2×#13867C22semidirect
155. C2×#13867C22semidirect
156. C22×#1441C22semidirect
157. C22×#1441C22semidirect
158. C22×#1441C22semidirect
159. C22×#1441C22semidirect
160. C22×#1440C22semidirect
161. C22×#1440C22semidirect
162. C22×#1440C22semidirect
163. C22×#1440C22semidirect
164. C22×#1439C22semidirect
165. C22×#1439C22semidirect
166. C22×#1439C22semidirect
167. C22×#1439C22semidirect
168. C22×#1439C22semidirect
169. C22×#1439C22semidirect
170. C22×#1439C22semidirect
171. C22×#1439C22semidirect
172. C22×#1439C22semidirect
173. C22×#1439C22semidirect
177. C22×#1438C22semidirect
178. C22×#1438C22semidirect
179. C22×#1438C22semidirect
180. C22×#1438C22semidirect
181. C22×#1438C22semidirect
182. C22×#1438C22semidirect
183. C22×#1438C22semidirect
184. C22×#1438C22semidirect
185. C22×#1438C22semidirect
186. C22×#1438C22semidirect
187. C22×#1438C22semidirect
188. C22×#1438C22semidirect
189. C22×#1438C22semidirect
190. C22×#1438C22semidirect
191. C22×#1438C22semidirect
192. C22×#1438C22semidirect
193. C22×#1438C22semidirect
194. C22×#1438C22semidirect
195. C22×#1438C22semidirect
196. C22×#1438C22semidirect
197. C22×#1438C22semidirect
198. C22×#1438C22semidirect
199. C22×#1438C22semidirect
200. C22×#1438C22semidirect
201. C22×#1438C22semidirect
202. C22×#1438C22semidirect
203. C22×#1437C22semidirect
204. C22×#1437C22semidirect
205. C22×#1437C22semidirect
206. C22×#1437C22semidirect
207. C22×#1436C22semidirect
208. C22×#1436C22semidirect
209. C22×#1436C22semidirect
210. C22×#1436C22semidirect
211. C22×C22⋊#95C22semidirect
212. C22×C22⋊#95C22semidirect
213. C22×C22⋊#95C22semidirect
214. C22×C22⋊#95C22semidirect
215. C22×C22⋊#95C22semidirect
216. C22×C22⋊#95C22semidirect
217. C22×C22⋊#95C22semidirect
218. C22×C22⋊#95C22semidirect
219. C22×C22⋊#95C22semidirect
224. C24×#41C23semidirect
226. C25×D4D4semidirect
266. C22×#546C23semidirect
267. C22×D42C23semidirect
269. C23×#124C23semidirect
270. C23×#123D4semidirect
272. C23×#123C23semidirect
273. C23×#123C23semidirect
274. C23×C22⋊Q8C23semidirect
275. C23×#121D4semidirect
276. C23×#121D4semidirect
282. C23×#121C23semidirect
283. C23×#121C23semidirect
284. C23×#121C23semidirect
285. C23×#120D4semidirect
290. C23×#120C23semidirect
291. C23×#120C23semidirect
292. C23×#120C23semidirect
293. C23×#120C23semidirect
296. C23×C4×D4C23semidirect
297. C23×C4×D4C23semidirect
371. C24×C22⋊C4C23semidirect
372. C24×C22⋊C4C23semidirect
373. C24×C22⋊C4C23semidirect
374. C24×C22⋊C4C23semidirect
375. C24×C22⋊C4C23semidirect
378. C2×#2430C23semidirect
379. C2×#2404C23semidirect
380. C2×#2405C23semidirect
381. C2×#2410C23semidirect
382. C22×#395C23semidirect
383. C22×#394C23semidirect
384. C22×#394C23semidirect
385. C22×#394C23semidirect
386. C22×#394C23semidirect
387. C22×#394C23semidirect
388. C22×#394C23semidirect
389. C22×#394C23semidirect
390. C22×#393C23semidirect
391. C22×#393C23semidirect
392. C22×#393C23semidirect
394. C22×#392C23semidirect
395. C22×#392C23semidirect
396. C22×#392C23semidirect
397. C22×#392C23semidirect
398. C22×#392C23semidirect
399. C22×#392C23semidirect
400. C22×#392C23semidirect
401. C22×#392C23semidirect
402. C22×#392C23semidirect
403. C22×#392C23semidirect
406. C22×#386C23semidirect
407. C22×#386C23semidirect
408. C22×#386C23semidirect
409. C22×#386C23semidirect
410. C22×#386C23semidirect
411. C22×#386C23semidirect
412. C22×#386C23semidirect
413. C22×#386C23semidirect
414. C22×#386C23semidirect
415. C22×#386C23semidirect
416. C22×#386C23semidirect
417. C22×#386C23semidirect
418. C22×#386C23semidirect
419. C22×#386C23semidirect
420. C22×#386C23semidirect
421. C22×#386C23semidirect
422. C22×#386C23semidirect
423. C22×#385C23semidirect
424. C22×#385C23semidirect
425. C22×#385C23semidirect
426. C22×#385C23semidirect
427. C22×#385C23semidirect
428. C22×#381C23semidirect
429. C22×#379C23semidirect
430. C22×#379C23semidirect
431. C22×#379C23semidirect
432. C22×#379C23semidirect
433. C22×#379C23semidirect
434. C22×#379C23semidirect
435. C22×#379C23semidirect
476. C23×#95C23semidirect
477. C23×#95C23semidirect
478. #16253C23semidirect
479. #16249C23semidirect
480. #15950C23semidirect
481. #15673C23semidirect
482. #15310C23semidirect
483. #15263C23semidirect
484. #15263C23semidirect
485. #15261C23semidirect
486. #15259C23semidirect
487. #15257C23semidirect
488. #14911C23semidirect
489. #14723C23semidirect
490. #14722C23semidirect
491. #14718C23semidirect
492. #14716C23semidirect
493. #14715C23semidirect
494. #14715C23semidirect
495. #14171C23semidirect
496. #14023C23semidirect
497. #14023C23semidirect
498. #13968C23semidirect
499. #13967C23semidirect
500. #13867C23semidirect
501. #13867C23semidirect
502. C2×#1441C23semidirect
503. C2×#1441C23semidirect
504. C2×#1441C23semidirect
505. C2×#1441C23semidirect
506. C2×#1440C23semidirect
507. C2×#1440C23semidirect
508. C2×#1440C23semidirect
509. C2×#1440C23semidirect
510. C2×#1439C23semidirect
511. C2×#1439C23semidirect
512. C2×#1439C23semidirect
513. C2×#1439C23semidirect
514. C2×#1439C23semidirect
515. C2×#1439C23semidirect
516. C2×#1439C23semidirect
517. C2×#1439C23semidirect
518. C2×#1439C23semidirect
519. C2×#1439C23semidirect
523. C2×#1438C23semidirect
524. C2×#1438C23semidirect
525. C2×#1438C23semidirect
526. C2×#1438C23semidirect
527. C2×#1438C23semidirect
528. C2×#1438C23semidirect
529. C2×#1438C23semidirect
530. C2×#1438C23semidirect
531. C2×#1438C23semidirect
532. C2×#1438C23semidirect
533. C2×#1438C23semidirect
534. C2×#1438C23semidirect
535. C2×#1438C23semidirect
536. C2×#1438C23semidirect
537. C2×#1438C23semidirect
538. C2×#1438C23semidirect
539. C2×#1438C23semidirect
540. C2×#1438C23semidirect
541. C2×#1438C23semidirect
542. C2×#1438C23semidirect
543. C2×#1438C23semidirect
544. C2×#1438C23semidirect
545. C2×#1438C23semidirect
546. C2×#1438C23semidirect
547. C2×#1438C23semidirect
548. C2×#1438C23semidirect
549. C2×#1437C23semidirect
550. C2×#1437C23semidirect
551. C2×#1437C23semidirect
552. C2×#1437C23semidirect
553. C2×#1436C23semidirect
554. C2×#1436C23semidirect
555. C2×#1436C23semidirect
556. C2×#1436C23semidirect
557. C2×C22⋊#95C23semidirect
558. C2×C22⋊#95C23semidirect
559. C2×C22⋊#95C23semidirect
560. C2×C22⋊#95C23semidirect
561. C2×C22⋊#95C23semidirect
562. C2×C22⋊#95C23semidirect
563. C2×C22⋊#95C23semidirect
564. C2×C22⋊#95C23semidirect
565. C2×C22⋊#95C23semidirect
582. C23×#41C24semidirect
596. C24×D4C2×D4semidirect
597. C24×D4C2×D4semidirect
598. C24×D4C2×D4semidirect
599. C24×D4#41semidirect
630. C25×C4C2×D4semidirect
631. C25×C4C2×D4semidirect
666. C22×#124C24semidirect
667. C22×#123C2×D4semidirect
669. C22×#123C24semidirect
670. C22×#123C24semidirect
671. C22×C22⋊Q8C24semidirect
672. C22×#121C2×D4semidirect
673. C22×#121C2×D4semidirect
679. C22×#121C24semidirect
680. C22×#121C24semidirect
681. C22×#121C24semidirect
682. C22×#120C2×D4semidirect
687. C22×#120C24semidirect
688. C22×#120C24semidirect
689. C22×#120C24semidirect
690. C22×#120C24semidirect
693. C22×C4×D4C24semidirect
694. C22×C4×D4C24semidirect
696. C23×C4⋊C4C2×D4semidirect
697. C23×C4⋊C4C2×D4semidirect
698. C23×C4⋊C4C2×D4semidirect
713. C23×C22⋊C4C2×D4semidirect
714. C23×C22⋊C4C2×D4semidirect
715. C23×C22⋊C4C2×D4semidirect
716. C23×C22⋊C4C2×D4semidirect
717. C23×C22⋊C4C2×D4semidirect
782. C23×C22⋊C4C24semidirect
783. C23×C22⋊C4C24semidirect
784. C23×C22⋊C4C24semidirect
785. C23×C22⋊C4C24semidirect
786. C23×C22⋊C4C24semidirect
789. C2×#395C24semidirect
790. C2×#394C24semidirect
791. C2×#394C24semidirect
792. C2×#394C24semidirect
793. C2×#394C24semidirect
794. C2×#394C24semidirect
795. C2×#394C24semidirect
796. C2×#394C24semidirect
797. C2×#393C24semidirect
798. C2×#393C24semidirect
799. C2×#393C24semidirect
801. C2×#392C24semidirect
802. C2×#392C24semidirect
803. C2×#392C24semidirect
804. C2×#392C24semidirect
805. C2×#392C24semidirect
806. C2×#392C24semidirect
807. C2×#392C24semidirect
808. C2×#392C24semidirect
809. C2×#392C24semidirect
810. C2×#392C24semidirect
813. C2×#386C24semidirect
814. C2×#386C24semidirect
815. C2×#386C24semidirect
816. C2×#386C24semidirect
817. C2×#386C24semidirect
818. C2×#386C24semidirect
819. C2×#386C24semidirect
820. C2×#386C24semidirect
821. C2×#386C24semidirect
822. C2×#386C24semidirect
823. C2×#386C24semidirect
824. C2×#386C24semidirect
825. C2×#386C24semidirect
826. C2×#386C24semidirect
827. C2×#386C24semidirect
828. C2×#386C24semidirect
829. C2×#386C24semidirect
830. C2×#385C24semidirect
831. C2×#385C24semidirect
832. C2×#385C24semidirect
833. C2×#385C24semidirect
834. C2×#385C24semidirect
835. C2×#381C24semidirect
836. C2×#379C24semidirect
837. C2×#379C24semidirect
838. C2×#379C24semidirect
839. C2×#379C24semidirect
840. C2×#379C24semidirect
841. C2×#379C24semidirect
842. C2×#379C24semidirect
883. C22×#95C24semidirect
884. C22×#95C24semidirect
885. #1441C24semidirect
886. #1441C24semidirect
887. #1441C24semidirect
888. #1441C24semidirect
889. #1440C24semidirect
890. #1440C24semidirect
891. #1440C24semidirect
892. #1440C24semidirect
893. #1439C24semidirect
894. #1439C24semidirect
895. #1439C24semidirect
896. #1439C24semidirect
897. #1439C24semidirect
898. #1439C24semidirect
899. #1439C24semidirect
900. #1439C24semidirect
901. #1439C24semidirect
902. #1439C24semidirect
906. #1438C24semidirect
907. #1438C24semidirect
908. #1438C24semidirect
909. #1438C24semidirect
910. #1438C24semidirect
911. #1438C24semidirect
912. #1438C24semidirect
913. #1438C24semidirect
914. #1438C24semidirect
915. #1438C24semidirect
916. #1438C24semidirect
917. #1438C24semidirect
918. #1438C24semidirect
919. #1438C24semidirect
920. #1438C24semidirect
921. #1438C24semidirect
922. #1438C24semidirect
923. #1438C24semidirect
924. #1438C24semidirect
925. #1438C24semidirect
926. #1438C24semidirect
927. #1438C24semidirect
928. #1438C24semidirect
929. #1438C24semidirect
930. #1438C24semidirect
931. #1437C24semidirect
932. #1437C24semidirect
933. #1437C24semidirect
934. #1437C24semidirect
935. #1436C24semidirect
936. #1436C24semidirect
937. #1436C24semidirect
938. #1436C24semidirect
939. C22⋊#95C24semidirect
940. C22⋊#95C24semidirect
941. C22⋊#95C24semidirect
942. C22⋊#95C24semidirect
943. C22⋊#95C24semidirect
944. C22⋊#95C24semidirect
945. C22⋊#95C24semidirect
946. C22⋊#95C24semidirect
947. C22⋊#95C24semidirect
990. C23×D4#120semidirect
1003. C23×D4C22×D4semidirect
1004. C23×D4C22×D4semidirect
1005. C23×D4C22×D4semidirect
1006. C23×D4C2×#41semidirect
1051. C24×C4C22×D4semidirect
1052. C24×C4C22×D4semidirect
1089. C2×#123C22×D4semidirect
1090. C2×#121C22×D4semidirect
1091. C2×#121C22×D4semidirect
1092. C2×#120C22×D4semidirect
1094. C22×C4⋊C4C22×D4semidirect
1095. C22×C4⋊C4C22×D4semidirect
1096. C22×C4⋊C4C22×D4semidirect
1111. C22×C22⋊C4C22×D4semidirect
1112. C22×C22⋊C4C22×D4semidirect
1113. C22×C22⋊C4C22×D4semidirect
1114. C22×C22⋊C4C22×D4semidirect
1115. C22×C22⋊C4C22×D4semidirect
1232. C25#546semidirect
1285. C22×D4C2×#120semidirect
1298. C22×D4C23×D4semidirect
1299. C22×D4C23×D4semidirect
1300. C22×D4C22×#41semidirect
1303. C23×C4#546semidirect
1324. C23×C4C23×D4semidirect
1325. C23×C4C23×D4semidirect
1352. C2×C4⋊C4C23×D4semidirect
1353. C2×C4⋊C4C23×D4semidirect
1354. C2×C4⋊C4C23×D4semidirect
1360. C2×C22⋊C4C23×D4semidirect
1361. C2×C22⋊C4C23×D4semidirect
1362. C2×C22⋊C4C23×D4semidirect
1363. C2×C22⋊C4C23×D4semidirect
1364. C2×C22⋊C4C23×D4semidirect
1386. C24C2×#546semidirect
1452. C2×D4C22×#120semidirect
1455. C22×C4C2×#546semidirect
1513. C23C22×#546semidirect
1556. C2×C4C22×#546semidirect
1557. C22#772779direct (N × H)
1619. C2C2×#772779direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#147232
C22×#159502
C22×#162532
C22×#156732
C22×#139682
C22×#152612
C22×#152592
C22×#141712
C22×#153102
C22×#140232
C22×#152632
C22×#147222
C22×#149112
C22×#162492
C22×#147182
C23×#24052
C2×#7727792
C23×#24042
C23×#24302
C24×#5462
C22×#152572
C23×#24102
C23×#14382
C22×#147162
C22×#139672
C22×#138672
C22×#147152
C24×D422