Finite Group Databasebeta

← C22×#773894 #72321625

Subgroups — C22×#773894 #72321625

Order 2048.

At least 8133 conjugacy classes of subgroups; only the 47200 normal subgroups are shown.

The subgroup lattice has 1593 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#15307C211yesmaximal, characteristic, complemented
2C22×#14754C211yesmaximal, characteristic, complemented
3C22×#13999C211yesmaximal, characteristic, complemented
4C22×#15630C211yesmaximal, characteristic, complemented
5C22×#16291C211yesmaximal, characteristic, complemented
6C22×#14726C211yesmaximal, characteristic, complemented
7C22×#14207C211yesmaximal, characteristic, complemented
8C22×#15376C211yesmaximal, characteristic, complemented
9C22×#16284C211yesmaximal, characteristic, complemented
10C22×#13975C211yesmaximal, characteristic, complemented
11C22×#14762C211yesmaximal, characteristic, complemented
12C22×#15273C211yesmaximal, characteristic, complemented
13C22×#15315C211yesmaximal, characteristic, complemented
14C22×#15315C211yesmaximal, characteristic, complemented
15C22×#14811C211yesmaximal, characteristic, complemented
16C22×#14718C211yesmaximal, characteristic, complemented
17C22×#13902C211yesmaximal, characteristic, complemented
18C2×#773894C2196yesmaximal, direct product factor
19C23×#2424C211yesmaximal, characteristic, complemented
20C23×#2358C211yesmaximal, characteristic, complemented
21C22×#14725C211yesmaximal, characteristic, complemented
22C22×#15267C211yesmaximal, characteristic, complemented
23C22×#15257C211yesmaximal, characteristic, complemented
24C23×D4×C22⋊C4C211yesmaximal, characteristic, complemented
25C23×#2410C211yesmaximal, characteristic, complemented
26C22×#14716C211yesmaximal, characteristic, complemented
27C23×#2408C211yesmaximal, characteristic, complemented
28C22×#13967C211yesmaximal, characteristic, complemented
29C24×#392C211yesmaximal, characteristic, complemented
30C22×#13867C211yesmaximal, characteristic, complemented
31C23×#2403C211yesmaximal, characteristic, complemented
32C23×#2403C211yesmaximal, characteristic, complemented
33C26×D4C2211yescharacteristic
34C26×D4C2211yescharacteristic
35C26×D4C2211yescharacteristic
36C26×D4C2211yescharacteristic, complemented
37C24×#121C2211yescharacteristic, complemented
38C24×#121C2211yescharacteristic, complemented
39C24×#121C2211yescharacteristic, complemented
40C24×#121C2211yescharacteristic, complemented
41C24×#120C2211yescharacteristic
42C24×#120C2211yescharacteristic
43C24×#120C2211yescharacteristic
44C24×#120C2211yescharacteristic
45C24×#120C2211yescharacteristic, complemented
46C24×#120C2211yescharacteristic, complemented
47C24×#120C2211yescharacteristic, complemented
48C24×#120C2211yescharacteristic, complemented
49C24×C4×D4C2211yescharacteristic
50C24×C4×D4C2211yescharacteristic
51C24×C4×D4C2211yescharacteristic, complemented
52C25×C22⋊C4C2211yescharacteristic
53C25×C22⋊C4C2211yescharacteristic, complemented
54C25×C22⋊C4C2211yescharacteristic, complemented
55C25×C22⋊C4C2211yescharacteristic, complemented
56C25×C22⋊C4C2211yescharacteristic, complemented
57C22×#2408C22148yescomplemented
58C22×#2424C22148yescomplemented
59C22×#2410C22148yescomplemented
60C22×#2403C22148yescomplemented
61C22×#2403C22148yescomplemented
62C23×#396C2211yescharacteristic, complemented
63C23×#396C2211yescharacteristic, complemented
64C23×#394C2211yescharacteristic, complemented
65C23×#394C2211yescharacteristic, complemented
66C23×#394C2211yescharacteristic, complemented
67C23×#394C2211yescharacteristic, complemented
68C23×#394C2211yescharacteristic, complemented
69C23×#394C2211yescharacteristic, complemented
70C23×#394C2211yescharacteristic, complemented
71C23×#394C2211yescharacteristic, complemented
72C23×#392C2211yescharacteristic
73C23×#392C2211yescharacteristic
74C23×#392C2211yescharacteristic
75C23×#392C2211yescharacteristic
76C23×#392C2211yescharacteristic, complemented
77C23×#392C2211yescharacteristic, complemented
78C23×#392C2211yescharacteristic, complemented
79C23×#392C2211yescharacteristic, complemented
80C23×#392C2211yescharacteristic, complemented
81C23×#392C2211yescharacteristic, complemented
82C23×#392C2211yescharacteristic, complemented
83C23×#392C2211yescharacteristic, complemented
84C23×#392C2211yescharacteristic, complemented
85C23×#392C2211yescharacteristic, complemented
86C23×#392C2211yescharacteristic, complemented
87C23×#392C2211yescharacteristic, complemented
88C23×#392C2211yescharacteristic, complemented
89C23×#392C2211yescharacteristic, complemented
90C23×#392C2211yescharacteristic, complemented
91C23×#392C2211yescharacteristic, complemented
92C23×#392C22148yescomplemented
93C22×#2358C22148yescomplemented
94C22×D4×C22⋊C4C22148yescomplemented
95C23×#390C2211yescharacteristic, complemented
96C23×#390C2211yescharacteristic, complemented
97C23×#390C2211yescharacteristic, complemented
98C23×#390C2211yescharacteristic, complemented
99C23×#390C2211yescharacteristic, complemented
100C23×#390C2211yescharacteristic, complemented
101C23×#390C2211yescharacteristic, complemented
102C23×#390C2211yescharacteristic, complemented
103C23×#390C2211yescharacteristic, complemented
104C23×#388C2211yescharacteristic, complemented
105C23×#388C2211yescharacteristic, complemented
106C23×#388C2211yescharacteristic, complemented
107C23×#386C2211yescharacteristic
108C23×#386C2211yescharacteristic
109C23×#386C2211yescharacteristic
110C23×#386C2211yescharacteristic
111C23×#386C2211yescharacteristic
112C23×#386C2211yescharacteristic
113C23×#386C2211yescharacteristic, complemented
114C23×#386C2211yescharacteristic, complemented
115C23×#386C2211yescharacteristic, complemented
116C23×#386C2211yescharacteristic, complemented
117C23×#386C2211yescharacteristic, complemented
118C23×#386C2211yescharacteristic, complemented
119C23×#386C2211yescharacteristic, complemented
120C23×#386C2211yescharacteristic, complemented
121C23×#386C2211yescharacteristic, complemented
122C23×#386C2211yescharacteristic, complemented
123C23×#386C2211yescharacteristic, complemented
124C23×#386C2211yescharacteristic, complemented
125C23×#386C2211yescharacteristic, complemented
126C23×#386C2211yescharacteristic, complemented
127C23×#386C2211yescharacteristic, complemented
128C23×#386C2211yescharacteristic, complemented
129C23×#385C2211yescharacteristic, complemented
130C23×#385C2211yescharacteristic, complemented
131C23×#385C2211yescharacteristic, complemented
132C23×#385C2211yescharacteristic, complemented
133C23×#380C2211yescharacteristic, complemented
134C23×#380C2211yescharacteristic, complemented
135C23×#380C2211yescharacteristic, complemented
136C23×#379C2211yescharacteristic
137C23×#379C2211yescharacteristic
138C23×#379C2211yescharacteristic
139C23×#379C2211yescharacteristic, complemented
140C23×#379C2211yescharacteristic, complemented
141C23×#379C2211yescharacteristic, complemented
142C23×#379C2211yescharacteristic, complemented
143C23×C4×C22⋊C4C2211yescharacteristic, complemented
144C23×C4×C22⋊C4C2211yescharacteristic, complemented
145C23×C4×C22⋊C4C2211yescharacteristic, complemented
146C24×#95C2211yescharacteristic, complemented
147#773894C2211024yesdirect product factor
148C2×#16291C22148yescomplemented
149C2×#16284C22148yescomplemented
150C2×#15630C22148yescomplemented
151C2×#15376C22148yescomplemented
152C2×#15315C22148yescomplemented
153C2×#15315C22148yescomplemented
154C2×#15307C22148yescomplemented
155C2×#15273C22148yescomplemented
156C2×#15267C22148yescomplemented
157C2×#15257C22148yescomplemented
158C2×#14811C22148yescomplemented
159C2×#14762C22148yescomplemented
160C2×#14754C22148yescomplemented
161C2×#14726C22148yescomplemented
162C2×#14725C22148yescomplemented
163C2×#14718C22148yescomplemented
164C2×#14716C22148yescomplemented
165C2×#14207C22148yescomplemented
166C2×#13999C22148yescomplemented
167C2×#13975C22148yescomplemented
168C2×#13967C22148yescomplemented
169C2×#13902C22148yescomplemented
170C2×#13867C22148yescomplemented
171C22×#1444C2211yescharacteristic, complemented
172C22×#1443C2211yescharacteristic, complemented
173C22×#1442C2211yescharacteristic, complemented
174C22×#1442C2211yescharacteristic, complemented
175C22×#1440C2211yescharacteristic, complemented
176C22×#1440C2211yescharacteristic, complemented
177C22×#1440C2211yescharacteristic, complemented
178C22×#1440C2211yescharacteristic, complemented
179C22×#1440C2211yescharacteristic, complemented
180C22×#1439C2211yescharacteristic, complemented
181C22×#1439C2211yescharacteristic, complemented
182C22×#1439C2211yescharacteristic, complemented
183C22×#1439C2211yescharacteristic, complemented
184C22×#1439C2211yescharacteristic, complemented
185C22×#1439C2211yescharacteristic, complemented
186C22×#1439C2211yescharacteristic, complemented
187C22×#1439C2211yescharacteristic, complemented
188C22×#1439C2211yescharacteristic, complemented
189C22×#1439C2211yescharacteristic, complemented
190C22×#1439C2211yescharacteristic, complemented
191C22×#1439C2211yescharacteristic, complemented
192C22×#1439C2211yescharacteristic, complemented
193C22×#1439C2211yescharacteristic, complemented
194C22×#1439C2211yescharacteristic, 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×#1438C2211yescharacteristic, complemented
204C22×#1438C2211yescharacteristic, complemented
205C22×#1438C2211yescharacteristic, complemented
206C22×#1438C2211yescharacteristic, complemented
207C22×#1438C2211yescharacteristic, complemented
208C22×#1438C2211yescharacteristic, complemented
209C22×#1437C2211yescharacteristic, complemented
210C22×#1437C2211yescharacteristic, complemented
211C22×#1437C2211yescharacteristic, complemented
212C22×#1436C2211yescharacteristic, complemented
213C22×#1436C2211yescharacteristic, complemented
214C22×#1436C2211yescharacteristic, complemented
215C22×#1434C2211yescharacteristic, complemented
216C22×C22⋊#95C2211yescharacteristic, complemented
217C22×C22⋊#95C2211yescharacteristic, complemented
218C22×C22⋊#95C2211yescharacteristic, complemented
219C22×C22⋊#95C2211yescharacteristic, complemented
220C28C2311yescharacteristic
221C28C2311yescharacteristic
222C28C2311yescharacteristic
223C28C2311yescharacteristic
224C25×D4C2311yescharacteristic
225C25×D4C2311yescharacteristic
226C25×D4C2311yescharacteristic
227C25×D4C2311yescharacteristic
228C25×D4C2311yescharacteristic
229C25×D4C2311yescharacteristic
230C25×D4C2311yescharacteristic
231C25×D4C2311yescharacteristic
232C25×D4C2311yescharacteristic
233C25×D4C23124yes—
234C25×D4C2311yescharacteristic
235C25×D4C2311yescharacteristic
236C25×D4C2311yescharacteristic
237C25×D4C2311yescharacteristic
238C25×D4C2311yescharacteristic
239C25×D4C2311yescharacteristic
240C25×D4C2311yescharacteristic
241C25×D4C2311yescharacteristic
242C25×D4C2311yescharacteristic
243C25×D4C2311yescharacteristic
244C25×D4C23124yes—
245C25×D4C23124yes—
246C25×D4C2311yescharacteristic
247C25×D4C2311yescharacteristic
248C25×D4C2311yescharacteristic
249C25×D4C2311yescharacteristic
250C25×D4C2311yescharacteristic
251C25×D4C23124yescomplemented
252C26×C4C2311yescharacteristic
253C26×C4C2311yescharacteristic
254C26×C4C2311yescharacteristic
255C26×C4C2311yescharacteristic
256C26×C4C2311yescharacteristic
257C26×C4C2311yescharacteristic
258C26×C4C2311yescharacteristic
259C26×C4C2311yescharacteristic
260C26×C4C2311yescharacteristic
261C23×#121C23124yescomplemented
262C23×#121C23124yescomplemented
263C23×#121C23124yescomplemented
264C23×#121C23124yescomplemented
265C23×#120D4132yescomplemented
266C23×#120C23124yes—
267C23×#120C23124yes—
268C23×#120C23124yes—
269C23×#120C23124yes—
270C23×#120C23124yescomplemented
271C23×#120C23124yescomplemented
272C23×#120C23124yescomplemented
273C23×#120C23124yescomplemented
274C23×C4×D4C23124yes—
275C23×C4×D4C23124yes—
276C23×C4×D4C23124yescomplemented
277C24×C4⋊C4C2311yescharacteristic
278C24×C4⋊C4C2311yescharacteristic
279C24×C4⋊C4C2311yescharacteristic
280C24×C4⋊C4C2311yescharacteristic
281C24×C4⋊C4C2311yescharacteristic
282C24×C4⋊C4C2311yescharacteristic
283C24×C4⋊C4C2311yescharacteristic
284C24×C4⋊C4C2311yescharacteristic
285C24×C4⋊C4C2311yescharacteristic
286C24×C4⋊C4C2311yescharacteristic
287C24×C22⋊C4C2311yescharacteristic
288C24×C22⋊C4C2311yescharacteristic
289C24×C22⋊C4C2311yescharacteristic
290C24×C22⋊C4C2311yescharacteristic
291C24×C22⋊C4C2311yescharacteristic
292C24×C22⋊C4C2311yescharacteristic
293C24×C22⋊C4C2311yescharacteristic
294C24×C22⋊C4C2311yescharacteristic
295C24×C22⋊C4C2311yescharacteristic
296C24×C22⋊C4C2311yescharacteristic
297C24×C22⋊C4C2311yescharacteristic
298C24×C22⋊C4C2311yescharacteristic
299C24×C22⋊C4C2311yescharacteristic
300C24×C22⋊C4C2311yescharacteristic
301C24×C22⋊C4C2311yescharacteristic
302C24×C22⋊C4C2311yescharacteristic
303C24×C22⋊C4C2311yescharacteristic
304C24×C22⋊C4C2311yescharacteristic
305C24×C22⋊C4C2311yescharacteristic
306C24×C22⋊C4C2311yescharacteristic
307C24×C22⋊C4C2311yescharacteristic
308C24×C22⋊C4C2311yescharacteristic
309C24×C22⋊C4C2311yescharacteristic
310C24×C22⋊C4C23124yes—
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⋊C4C23124yescomplemented
355C24×C22⋊C4C23124yescomplemented
356C24×C22⋊C4C23124yescomplemented
357C24×C22⋊C4C23124yescomplemented
358C24×C42C2311yescharacteristic
359C24×C42C2311yescharacteristic
360C24×C42C2311yescharacteristic
361C24×C42C2311yescharacteristic
362C2×#2408C231256yescomplemented
363C2×#2424C231256yescomplemented
364C2×#2410C231256yescomplemented
365C2×#2403C231256yescomplemented
366C2×#2403C231256yescomplemented
367C22×#396C23124yescomplemented
368C22×#396C23124yescomplemented
369C22×#394C23124yescomplemented
370C22×#394C23124yescomplemented
371C22×#394C23124yescomplemented
372C22×#394C23124yescomplemented
373C22×#394C23124yescomplemented
374C22×#394C23124yescomplemented
375C22×#394C23124yescomplemented
376C22×#394C23124yescomplemented
377C22×#392D4132yescomplemented
378C22×#392C23124yes—
379C22×#392C23124yes—
380C22×#392C23124yes—
381C22×#392C23124yes—
382C22×#392C23124yescomplemented
383C22×#392C23124yescomplemented
384C22×#392C23124yescomplemented
385C22×#392C23124yescomplemented
386C22×#392C23124yescomplemented
387C22×#392C23124yescomplemented
388C22×#392C23124yescomplemented
389C22×#392C23124yescomplemented
390C22×#392C23124yescomplemented
391C22×#392C23124yescomplemented
392C22×#392C23124yescomplemented
393C22×#392C23124yescomplemented
394C22×#392C23124yescomplemented
395C22×#392C23124yescomplemented
396C22×#392C23124yescomplemented
397C22×#392C23124yescomplemented
398C22×#392C231256yescomplemented
399C2×#2358C231256yescomplemented
400C2×D4×C22⋊C4C231256yescomplemented
401C22×#390C23124yescomplemented
402C22×#390C23124yescomplemented
403C22×#390C23124yescomplemented
404C22×#390C23124yescomplemented
405C22×#390C23124yescomplemented
406C22×#390C23124yescomplemented
407C22×#390C23124yescomplemented
408C22×#390C23124yescomplemented
409C22×#390C23124yescomplemented
410C22×#388C23124yescomplemented
411C22×#388C23124yescomplemented
412C22×#388C23124yescomplemented
413C22×#386D4132yescomplemented
414C22×#386D4132yescomplemented
415C22×#386C23124yes—
416C22×#386C23124yes—
417C22×#386C23124yes—
418C22×#386C23124yes—
419C22×#386C23124yes—
420C22×#386C23124yes—
421C22×#386C23124yescomplemented
422C22×#386C23124yescomplemented
423C22×#386C23124yescomplemented
424C22×#386C23124yescomplemented
425C22×#386C23124yescomplemented
426C22×#386C23124yescomplemented
427C22×#386C23124yescomplemented
428C22×#386C23124yescomplemented
429C22×#386C23124yescomplemented
430C22×#386C23124yescomplemented
431C22×#386C23124yescomplemented
432C22×#386C23124yescomplemented
433C22×#386C23124yescomplemented
434C22×#386C23124yescomplemented
435C22×#386C23124yescomplemented
436C22×#386C23124yescomplemented
437C22×#385C23124yescomplemented
438C22×#385C23124yescomplemented
439C22×#385C23124yescomplemented
440C22×#385C23124yescomplemented
441C22×#380C23124yescomplemented
442C22×#380C23124yescomplemented
443C22×#380C23124yescomplemented
444C22×#379C23124yes—
445C22×#379C23124yes—
446C22×#379C23124yes—
447C22×#379C23124yescomplemented
448C22×#379C23124yescomplemented
449C22×#379C23124yescomplemented
450C22×#379C23124yescomplemented
451C22×C4×C22⋊C4C23124yescomplemented
452C22×C4×C22⋊C4C23124yescomplemented
453C22×C4×C22⋊C4C23124yescomplemented
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×#95C2311yescharacteristic
477C23×#95C2311yescharacteristic
478C23×#95C2311yescharacteristic
479C23×#95C2311yescharacteristic
480C23×#95C2311yescharacteristic
481C23×#95C2311yescharacteristic
482C23×#95C2311yescharacteristic
483C23×#95C2311yescharacteristic
484C23×#95C2311yescharacteristic
485C23×#95C2311yescharacteristic
486C23×#95C2311yescharacteristic
487C23×#95C2311yescharacteristic
488C23×#95C2311yescharacteristic
489C23×#95C2311yescharacteristic
490C23×#95C2311yescharacteristic
491C23×#95C2311yescharacteristic
492C23×#95C23124yescomplemented
493#16291C231256yescomplemented
494#16284C231256yescomplemented
495#15630C231256yescomplemented
496#15376C231256yescomplemented
497#15315C231256yescomplemented
498#15315C231256yescomplemented
499#15307C231256yescomplemented
500#15273C231256yescomplemented
501#15267C231256yescomplemented
502#15257C231256yescomplemented
503#14811C231256yescomplemented
504#14762C231256yescomplemented
505#14754C231256yescomplemented
506#14726C231256yescomplemented
507#14725C231256yescomplemented
508#14718C231256yescomplemented
509#14716C231256yescomplemented
510#14207C231256yescomplemented
511#13999C231256yescomplemented
512#13975C231256yescomplemented
513#13967C231256yescomplemented
514#13902C231256yescomplemented
515#13867C231256yescomplemented
516C2×#1444C23124yescomplemented
517C2×#1443C23124yescomplemented
518C2×#1442C23124yescomplemented
519C2×#1442C23124yescomplemented
520C2×#1440C23124yescomplemented
521C2×#1440C23124yescomplemented
522C2×#1440C23124yescomplemented
523C2×#1440C23124yescomplemented
524C2×#1440C23124yescomplemented
525C2×#1439C23124yescomplemented
526C2×#1439C23124yescomplemented
527C2×#1439C23124yescomplemented
528C2×#1439C23124yescomplemented
529C2×#1439C23124yescomplemented
530C2×#1439C23124yescomplemented
531C2×#1439C23124yescomplemented
532C2×#1439C23124yescomplemented
533C2×#1439C23124yescomplemented
534C2×#1439C23124yescomplemented
535C2×#1439C23124yescomplemented
536C2×#1439C23124yescomplemented
537C2×#1439C23124yescomplemented
538C2×#1439C23124yescomplemented
539C2×#1439C23124yescomplemented
540C2×#1438C23124yescomplemented
541C2×#1438C23124yescomplemented
542C2×#1438C23124yescomplemented
543C2×#1438C23124yescomplemented
544C2×#1438C23124yescomplemented
545C2×#1438C23124yescomplemented
546C2×#1438C23124yescomplemented
547C2×#1438C23124yescomplemented
548C2×#1438C23124yescomplemented
549C2×#1438C23124yescomplemented
550C2×#1438C23124yescomplemented
551C2×#1438C23124yescomplemented
552C2×#1438C23124yescomplemented
553C2×#1438C23124yescomplemented
554C2×#1437C23124yescomplemented
555C2×#1437C23124yescomplemented
556C2×#1437C23124yescomplemented
557C2×#1436C23124yescomplemented
558C2×#1436C23124yescomplemented
559C2×#1436C23124yescomplemented
560C2×#1434C23124yescomplemented
561C2×C22⋊#95C23124yescomplemented
562C2×C22⋊#95C23124yescomplemented
563C2×C22⋊#95C23124yescomplemented
564C2×C22⋊#95C23124yescomplemented
565C27C2×D4116yes—
566C27#41116yes—
567C27C2411yescharacteristic
568C27C2411yescharacteristic
569C27C2411yescharacteristic
570C27C2411yescharacteristic
571C27C2411yescharacteristic
572C27C2411yescharacteristic
573C27C2411yescharacteristic
574C27C2411yescharacteristic
575C27C24112yes—
576C27C24112yes—
577C27C24112yes—
578C27C2411yescharacteristic
579C27C24112yes—
580C24×D4C2×D4116yes—
581C24×D4C2×D4116yes—
582C24×D4C2×D4116yes—
583C24×D4C2×D4116yes—
584C24×D4C2×D4116yes—
585C24×D4C2×D4116yescomplemented
586C24×D4C2×D4116yescomplemented
587C24×D4C2×D4116yescomplemented
588C24×D4#41116yes—
589C24×D4C24112yes—
590C24×D4C24112yes—
591C24×D4C24112yes—
592C24×D4C24164yes—
593C24×D4C24112yes—
594C24×D4C24112yes—
595C24×D4C24112yes—
596C24×D4C24112yes—
597C24×D4C24112yes—
598C24×D4C24112yes—
599C24×D4C24112yes—
600C24×D4C24112yes—
601C24×D4C24112yes—
602C24×D4C24112yes—
603C24×D4C24112yes—
604C24×D4C24112yes—
605C24×D4C24112yes—
606C24×D4C24112yes—
607C24×D4C24112yes—
608C24×D4C24112yes—
609C24×D4C24112yes—
610C24×D4C24164yes—
611C24×D4C24164yes—
612C24×D4C24112yes—
613C24×D4C24112yes—
614C24×D4C24112yes—
615C24×D4C24112yes—
616C24×D4C24164yescomplemented
617C25×C4C2×D4116yes—
618C25×C4C2×D4116yes—
619C25×C4C2411yescharacteristic
620C25×C4C2411yescharacteristic
621C25×C4C2411yescharacteristic
622C25×C4C2411yescharacteristic
623C25×C4C2411yescharacteristic
624C25×C4C2411yescharacteristic
625C25×C4C2411yescharacteristic
626C25×C4C2411yescharacteristic
627C25×C4C2411yescharacteristic
628C25×C4C2411yescharacteristic
629C25×C4C2411yescharacteristic
630C25×C4C2411yescharacteristic
631C25×C4C2411yescharacteristic
632C25×C4C2411yescharacteristic
633C25×C4C2411yescharacteristic
634C25×C4C2411yescharacteristic
635C25×C4C2411yescharacteristic
636C25×C4C2411yescharacteristic
637C25×C4C2411yescharacteristic
638C25×C4C24112yes—
639C25×C4C24112yes—
640C25×C4C24112yes—
641C25×C4C24112yes—
642C25×C4C24112yes—
643C25×C4C24112yes—
644C25×C4C2411yescharacteristic
645C25×C4C2411yescharacteristic
646C25×C4C2411yescharacteristic
647C25×C4C24112yes—
648C25×C4C24112yes—
649C25×C4C24112yes—
650C22×#121C24164yescomplemented
651C22×#121C24164yescomplemented
652C22×#121C24164yescomplemented
653C22×#121C24164yescomplemented
654C22×#120C2×D41384yescomplemented
655C22×#120C24164yes—
656C22×#120C24164yes—
657C22×#120C24164yes—
658C22×#120C24164yes—
659C22×#120C24164yescomplemented
660C22×#120C24164yescomplemented
661C22×#120C24164yescomplemented
662C22×#120C24164yescomplemented
663C22×C4×D4C24164yes—
664C22×C4×D4C24164yes—
665C22×C4×D4C24164yescomplemented
666C23×C4⋊C4C24112yes—
667C23×C4⋊C4C24112yes—
668C23×C4⋊C4C24112yes—
669C23×C4⋊C4C24112yes—
670C23×C4⋊C4C24112yes—
671C23×C4⋊C4C24112yes—
672C23×C4⋊C4C24112yes—
673C23×C4⋊C4C24112yes—
674C23×C4⋊C4C24112yes—
675C23×C4⋊C4C24112yes—
676C23×C22⋊C4C2×D4116yes—
677C23×C22⋊C4C2×D4116yes—
678C23×C22⋊C4C2×D4116yes—
679C23×C22⋊C4C2×D4116yes—
680C23×C22⋊C4C2×D4116yescomplemented
681C23×C22⋊C4C2×D4116yescomplemented
682C23×C22⋊C4C2×D4116yescomplemented
683C23×C22⋊C4C2×D4116yescomplemented
684C23×C22⋊C4C2×D4116yescomplemented
685C23×C22⋊C4C2×D4116yescomplemented
686C23×C22⋊C4C2×D4116yescomplemented
687C23×C22⋊C4C2×D4116yescomplemented
688C23×C22⋊C4C24112yes—
689C23×C22⋊C4C24112yes—
690C23×C22⋊C4C24112yes—
691C23×C22⋊C4C24112yes—
692C23×C22⋊C4C24112yes—
693C23×C22⋊C4C24112yes—
694C23×C22⋊C4C24112yes—
695C23×C22⋊C4C24112yes—
696C23×C22⋊C4C24112yes—
697C23×C22⋊C4C24112yes—
698C23×C22⋊C4C24112yes—
699C23×C22⋊C4C24112yes—
700C23×C22⋊C4C24112yes—
701C23×C22⋊C4C24112yes—
702C23×C22⋊C4C24112yes—
703C23×C22⋊C4C24112yes—
704C23×C22⋊C4C24112yes—
705C23×C22⋊C4C24112yes—
706C23×C22⋊C4C24112yes—
707C23×C22⋊C4C24112yes—
708C23×C22⋊C4C24112yes—
709C23×C22⋊C4C24112yes—
710C23×C22⋊C4C24112yes—
711C23×C22⋊C4C24112yes—
712C23×C22⋊C4C24112yes—
713C23×C22⋊C4C24112yes—
714C23×C22⋊C4C24112yes—
715C23×C22⋊C4C24112yes—
716C23×C22⋊C4C24112yes—
717C23×C22⋊C4C24112yes—
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⋊C4C24164yes—
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⋊C4C24164yescomplemented
756C23×C22⋊C4C24164yescomplemented
757C23×C22⋊C4C24164yescomplemented
758C23×C22⋊C4C24164yescomplemented
759C23×C42C24112yes—
760C23×C42C24112yes—
761C23×C42C24112yes—
762C23×C42C24112yes—
763C2×#396C24164yescomplemented
764C2×#396C24164yescomplemented
765C2×#394C24164yescomplemented
766C2×#394C24164yescomplemented
767C2×#394C24164yescomplemented
768C2×#394C24164yescomplemented
769C2×#394C24164yescomplemented
770C2×#394C24164yescomplemented
771C2×#394C24164yescomplemented
772C2×#394C24164yescomplemented
773C2×#392C2×D41384yescomplemented
774C2×#392C24164yes—
775C2×#392C24164yes—
776C2×#392C24164yes—
777C2×#392C24164yes—
778C2×#392C24164yescomplemented
779C2×#392C24164yescomplemented
780C2×#392C24164yescomplemented
781C2×#392C24164yescomplemented
782C2×#392C24164yescomplemented
783C2×#392C24164yescomplemented
784C2×#392C24164yescomplemented
785C2×#392C24164yescomplemented
786C2×#392C24164yescomplemented
787C2×#392C24164yescomplemented
788C2×#392C24164yescomplemented
789C2×#392C24164yescomplemented
790C2×#392C24164yescomplemented
791C2×#392C24164yescomplemented
792C2×#392C24164yescomplemented
793C2×#392C24164yescomplemented
794C2×#390C24164yescomplemented
795C2×#390C24164yescomplemented
796C2×#390C24164yescomplemented
797C2×#390C24164yescomplemented
798C2×#390C24164yescomplemented
799C2×#390C24164yescomplemented
800C2×#390C24164yescomplemented
801C2×#390C24164yescomplemented
802C2×#390C24164yescomplemented
803C2×#388C24164yescomplemented
804C2×#388C24164yescomplemented
805C2×#388C24164yescomplemented
806C2×#386C2×D41384yescomplemented
807C2×#386C2×D41384yescomplemented
808C2×#386C24164yes—
809C2×#386C24164yes—
810C2×#386C24164yes—
811C2×#386C24164yes—
812C2×#386C24164yes—
813C2×#386C24164yes—
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×#380C24164yescomplemented
835C2×#380C24164yescomplemented
836C2×#380C24164yescomplemented
837C2×#379C24164yes—
838C2×#379C24164yes—
839C2×#379C24164yes—
840C2×#379C24164yescomplemented
841C2×#379C24164yescomplemented
842C2×#379C24164yescomplemented
843C2×#379C24164yescomplemented
844C2×C4×C22⋊C4C24164yescomplemented
845C2×C4×C22⋊C4C24164yescomplemented
846C2×C4×C22⋊C4C24164yescomplemented
847C22×#95C2×D4116yescomplemented
848C22×#95C2×D4116yescomplemented
849C22×#95C2×D4116yescomplemented
850C22×#95C2×D4116yescomplemented
851C22×#95C2×D4116yescomplemented
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×#95C24112yes—
884C22×#95C24112yes—
885C22×#95C24112yes—
886C22×#95C24112yes—
887C22×#95C24112yes—
888C22×#95C24112yes—
889C22×#95C24112yes—
890C22×#95C24164yescomplemented
891#1444C24164yescomplemented
892#1443C24164yescomplemented
893#1442C24164yescomplemented
894#1442C24164yescomplemented
895#1440C24164yescomplemented
896#1440C24164yescomplemented
897#1440C24164yescomplemented
898#1440C24164yescomplemented
899#1440C24164yescomplemented
900#1439C24164yescomplemented
901#1439C24164yescomplemented
902#1439C24164yescomplemented
903#1439C24164yescomplemented
904#1439C24164yescomplemented
905#1439C24164yescomplemented
906#1439C24164yescomplemented
907#1439C24164yescomplemented
908#1439C24164yescomplemented
909#1439C24164yescomplemented
910#1439C24164yescomplemented
911#1439C24164yescomplemented
912#1439C24164yescomplemented
913#1439C24164yescomplemented
914#1439C24164yescomplemented
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#1437C24164yescomplemented
930#1437C24164yescomplemented
931#1437C24164yescomplemented
932#1436C24164yescomplemented
933#1436C24164yescomplemented
934#1436C24164yescomplemented
935#1434C24164yescomplemented
936C22⋊#95C24164yescomplemented
937C22⋊#95C24164yescomplemented
938C22⋊#95C24164yescomplemented
939C22⋊#95C24164yescomplemented
940C26C22×D418yes—
941C26C22×D418yes—
942C26C22×D418yes—
943C26C22×D418yes—
944C26C22×D418yes—
945C26C22×D418yes—
946C26C22×D418yes—
947C26C22×D418yes—
948C26C22×D4196yes—
949C26C22×D418yes—
950C26C22×D418yes—
951C26C22×D418yes—
952C26C2×#4118yes—
953C26C2×#4118yes—
954C26C2×#4118yes—
955C26C2×#41196yes—
956C26C2×#4118yes—
957C26C2×#4118yes—
958C26H(5,𝔽2)18yes—
959C26H(5,𝔽2)18yes—
960C26H(5,𝔽2)18yes—
961C26H(5,𝔽2)18yes—
962C26H(5,𝔽2)18yes—
963C26C2516yes—
964C26C2516yes—
965C26C2516yes—
966C26C2516yes—
967C26C2516yes—
968C26C2516yes—
969C26C2516yes—
970C26C2516yes—
971C26C25116yes—
972C26C25116yes—
973C26C25116yes—
974C26C2516yes—
975C26C25116yes—
976C26C2511yescharacteristic
977C23×D4#1211256yescomplemented
978C23×D4C22×D4196yes—
979C23×D4C22×D4196yes—
980C23×D4C22×D4196yes—
981C23×D4C22×D4196yes—
982C23×D4C22×D4196yes—
983C23×D4C22×D4196yescomplemented
984C23×D4C22×D4196yescomplemented
985C23×D4C22×D4196yescomplemented
986C23×D4C2×#41196yes—
987C23×D4C25116yes—
988C23×D4C25116yes—
989C23×D4C25116yes—
990C23×D4C25116yes—
991C23×D4C25116yes—
992C23×D4C25116yes—
993C23×D4C25116yes—
994C23×D4C25116yes—
995C23×D4C25116yes—
996C23×D4C25116yes—
997C23×D4C25116yes—
998C23×D4C25116yes—
999C23×D4C25116yes—
1000C23×D4C25116yes—
1001C23×D4C25116yes—
1002C23×D4C25116yes—
1003C23×D4C25116yes—
1004C23×D4C25116yes—
1005C23×D4C25116yes—
1006C23×D4C25116yes—
1007C23×D4C25116yes—
1008C23×D4C25116yes—
1009C23×D4C25116yes—
1010C23×D4C25116yes—
1011C24×C4C22×D418yes—
1012C24×C4C22×D418yes—
1013C24×C4C22×D418yes—
1014C24×C4C22×D418yes—
1015C24×C4C22×D418yes—
1016C24×C4C22×D418yes—
1017C24×C4C22×D418yes—
1018C24×C4C22×D418yes—
1019C24×C4C22×D418yes—
1020C24×C4C22×D418yes—
1021C24×C4C22×D418yes—
1022C24×C4C22×D4196yes—
1023C24×C4C22×D4196yes—
1024C24×C4C22×D418yes—
1025C24×C4C22×D418yes—
1026C24×C4C22×D418yes—
1027C24×C4C22×D418yes—
1028C24×C4C22×D418yes—
1029C24×C4C22×D418yes—
1030C24×C4C2×#4118yes—
1031C24×C4H(5,𝔽2)18yes—
1032C24×C4H(5,𝔽2)18yes—
1033C24×C4H(5,𝔽2)18yes—
1034C24×C4C2516yes—
1035C24×C4C2516yes—
1036C24×C4C2516yes—
1037C24×C4C2516yes—
1038C24×C4C2516yes—
1039C24×C4C2516yes—
1040C24×C4C2516yes—
1041C24×C4C2516yes—
1042C24×C4C2516yes—
1043C24×C4C2516yes—
1044C24×C4C2516yes—
1045C24×C4C2516yes—
1046C24×C4C2516yes—
1047C24×C4C2516yes—
1048C24×C4C2516yes—
1049C24×C4C2516yes—
1050C24×C4C2516yes—
1051C24×C4C2516yes—
1052C24×C4C2516yes—
1053C24×C4C25116yes—
1054C24×C4C25116yes—
1055C24×C4C25116yes—
1056C24×C4C25116yes—
1057C24×C4C25116yes—
1058C24×C4C25116yes—
1059C24×C4C2516yes—
1060C24×C4C2516yes—
1061C24×C4C2516yes—
1062C24×C4C25116yes—
1063C24×C4C25116yes—
1064C24×C4C25116yes—
1065C2×#120C22×D41512yescomplemented
1066C22×C4⋊C4C25116yes—
1067C22×C4⋊C4C25116yes—
1068C22×C4⋊C4C25116yes—
1069C22×C4⋊C4C25116yes—
1070C22×C4⋊C4C25116yes—
1071C22×C4⋊C4C25116yes—
1072C22×C4⋊C4C25116yes—
1073C22×C4⋊C4C25116yes—
1074C22×C4⋊C4C25116yes—
1075C22×C4⋊C4C25116yes—
1076C22×C22⋊C4C22×D4196yes—
1077C22×C22⋊C4C22×D4196yes—
1078C22×C22⋊C4C22×D4196yes—
1079C22×C22⋊C4C22×D4196yes—
1080C22×C22⋊C4C22×D4196yescomplemented
1081C22×C22⋊C4C22×D4196yescomplemented
1082C22×C22⋊C4C22×D4196yescomplemented
1083C22×C22⋊C4C22×D4196yescomplemented
1084C22×C22⋊C4C22×D4196yescomplemented
1085C22×C22⋊C4C22×D4196yescomplemented
1086C22×C22⋊C4C22×D4196yescomplemented
1087C22×C22⋊C4C22×D4196yescomplemented
1088C22×C22⋊C4C25116yes—
1089C22×C22⋊C4C25116yes—
1090C22×C22⋊C4C25116yes—
1091C22×C22⋊C4C25116yes—
1092C22×C22⋊C4C25116yes—
1093C22×C22⋊C4C25116yes—
1094C22×C22⋊C4C25116yes—
1095C22×C22⋊C4C25116yes—
1096C22×C22⋊C4C25116yes—
1097C22×C22⋊C4C25116yes—
1098C22×C22⋊C4C25116yes—
1099C22×C22⋊C4C25116yes—
1100C22×C22⋊C4C25116yes—
1101C22×C22⋊C4C25116yes—
1102C22×C22⋊C4C25116yes—
1103C22×C22⋊C4C25116yes—
1104C22×C22⋊C4C25116yes—
1105C22×C22⋊C4C25116yes—
1106C22×C22⋊C4C25116yes—
1107C22×C22⋊C4C25116yes—
1108C22×C22⋊C4C25116yes—
1109C22×C22⋊C4C25116yes—
1110C22×C22⋊C4C25116yes—
1111C22×C22⋊C4C25116yes—
1112C22×C22⋊C4C25116yes—
1113C22×C22⋊C4C25116yes—
1114C22×C22⋊C4C25116yes—
1115C22×C22⋊C4C25116yes—
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×C42C25116yes—
1155C22×C42C25116yes—
1156C22×C42C25116yes—
1157C22×C42C25116yes—
1158#392C22×D41512yescomplemented
1159#386C22×D41512yescomplemented
1160#386C22×D41512yescomplemented
1161C2×#95C22×D4196yescomplemented
1162C2×#95C22×D4196yescomplemented
1163C2×#95C22×D4196yescomplemented
1164C2×#95C22×D4196yescomplemented
1165C2×#95C22×D4196yescomplemented
1166C2×#95C25116yes—
1167C2×#95C25116yes—
1168C2×#95C25116yes—
1169C2×#95C25116yes—
1170C2×#95C25116yes—
1171C2×#95C25116yes—
1172C2×#95C25116yes—
1173C2×#95C25116yes—
1174C2×#95C25116yes—
1175C2×#95C25116yes—
1176C2×#95C25116yes—
1177C2×#95C25116yes—
1178C2×#95C25116yes—
1179C2×#95C25116yes—
1180C2×#95C25116yes—
1181C2×#95C25116yes—
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—
1204C25C2×#121164yes—
1205C25C2×#121164yes—
1206C25#525164yes—
1207C25#538164yes—
1208C25D42164yes—
1209C25D42164yes—
1210C25D42164yes—
1211C25#546164yes—
1212C25#546164yes—
1213C25#546164yes—
1214C25C23×D4124yes—
1215C25C23×D4124yes—
1216C25C23×D4124yes—
1217C25C23×D4124yes—
1218C25C23×D4124yes—
1219C25C23×D4124yes—
1220C25C23×D4124yes—
1221C25C23×D4124yes—
1222C25C23×D4164yes—
1223C25C23×D4124yes—
1224C25C23×D4124yes—
1225C25C23×D4124yes—
1226C25C23×D414yes—
1227C25C23×D414yes—
1228C25C23×D414yes—
1229C25C23×D414yes—
1230C25C22×#41124yes—
1231C25C22×#41124yes—
1232C25C22×#41124yes—
1233C25C22×#41164yes—
1234C25C22×#41124yes—
1235C25C22×#41124yes—
1236C25C22×#4114yes—
1237C25C22×#4114yes—
1238C25C2×H(5,𝔽2)124yes—
1239C25C2×H(5,𝔽2)124yes—
1240C25C2×H(5,𝔽2)124yes—
1241C25C2×H(5,𝔽2)124yes—
1242C25C2×H(5,𝔽2)124yes—
1243C25C2×H(5,𝔽2)14yes—
1244C25C2×H(5,𝔽2)14yes—
1245C25C2×H(5,𝔽2)14yes—
1246C25C2×H(5,𝔽2)14yes—
1247C25C2×H(5,𝔽2)14yes—
1248C25C2×H(5,𝔽2)14yes—
1249C25C2×H(5,𝔽2)14yes—
1250C25C2×H(5,𝔽2)14yes—
1251C25#58514yes—
1252C25C2614yes—
1253C25C2614yes—
1254C25C2614yes—
1255C25C2614yes—
1256C25C2614yes—
1257C25C2614yes—
1258C25C2614yes—
1259C25C2614yes—
1260C25C2614yes—
1261C25C2613yes—
1262C22×D4C2×#1211768yescomplemented
1263C22×D4C23×D4164yes—
1264C22×D4C23×D4164yes—
1265C22×D4C23×D4164yes—
1266C22×D4C23×D4164yes—
1267C22×D4C23×D4164yes—
1268C22×D4C23×D4164yescomplemented
1269C22×D4C23×D4164yescomplemented
1270C22×D4C23×D4164yescomplemented
1271C22×D4C22×#41164yes—
1272C23×C4C2×#121164yes—
1273C23×C4D42164yes—
1274C23×C4D42164yes—
1275C23×C4C23×D4124yes—
1276C23×C4C23×D4124yes—
1277C23×C4C23×D4124yes—
1278C23×C4C23×D4124yes—
1279C23×C4C23×D4124yes—
1280C23×C4C23×D4124yes—
1281C23×C4C23×D4124yes—
1282C23×C4C23×D4124yes—
1283C23×C4C23×D4124yes—
1284C23×C4C23×D4124yes—
1285C23×C4C23×D4124yes—
1286C23×C4C23×D4164yes—
1287C23×C4C23×D4164yes—
1288C23×C4C23×D4124yes—
1289C23×C4C23×D4124yes—
1290C23×C4C23×D4124yes—
1291C23×C4C23×D4124yes—
1292C23×C4C23×D4124yes—
1293C23×C4C23×D4124yes—
1294C23×C4C22×#41124yes—
1295C23×C4C2×H(5,𝔽2)124yes—
1296C23×C4C2×H(5,𝔽2)124yes—
1297C23×C4C2×H(5,𝔽2)124yes—
1298C23×C4C2614yes—
1299C23×C4C2614yes—
1300C23×C4C2614yes—
1301C23×C4C2614yes—
1302C23×C4C2614yes—
1303C23×C4C2614yes—
1304C23×C4C2614yes—
1305C23×C4C2614yes—
1306C23×C4C2614yes—
1307C23×C4C2614yes—
1308C23×C4C2614yes—
1309C23×C4C2614yes—
1310C23×C4C2614yes—
1311C23×C4C2614yes—
1312C23×C4C2614yes—
1313C23×C4C2614yes—
1314C23×C4C2614yes—
1315C23×C4C2614yes—
1316C23×C4C2614yes—
1317C23×C4C2614yes—
1318C23×C4C2614yes—
1319C23×C4C2614yes—
1320C2×C22⋊C4C23×D4164yes—
1321C2×C22⋊C4C23×D4164yes—
1322C2×C22⋊C4C23×D4164yes—
1323C2×C22⋊C4C23×D4164yes—
1324C2×C22⋊C4C23×D4164yescomplemented
1325C2×C22⋊C4C23×D4164yescomplemented
1326C2×C22⋊C4C23×D4164yescomplemented
1327C2×C22⋊C4C23×D4164yescomplemented
1328C2×C22⋊C4C23×D4164yescomplemented
1329C2×C22⋊C4C23×D4164yescomplemented
1330C2×C22⋊C4C23×D4164yescomplemented
1331C2×C22⋊C4C23×D4164yescomplemented
1332#95C23×D4164yescomplemented
1333#95C23×D4164yescomplemented
1334#95C23×D4164yescomplemented
1335#95C23×D4164yescomplemented
1336#95C23×D4164yescomplemented
1337C24#24241512yescomplemented
1338C24C22×#121196yes—
1339C24C22×#121196yes—
1340C24C22×#121116yes—
1341C24C2×#525196yes—
1342C24C2×#525116yes—
1343C24C2×#538196yes—
1344C24C2×#538116yes—
1345C24C2×D42196yes—
1346C24C2×D42196yes—
1347C24C2×D42196yes—
1348C24C2×D42116yes—
1349C24C2×D42116yes—
1350C24C2×D42116yes—
1351C24C2×D42116yes—
1352C24C2×D42116yes—
1353C24C2×#546196yes—
1354C24C2×#546196yes—
1355C24C2×#546196yes—
1356C24C2×#546116yes—
1357C24C2×#546116yes—
1358C24C2×#546116yes—
1359C24D4×#41116yes—
1360C24#3484116yes—
1361C24#3484116yes—
1362C24#3484116yes—
1363C24#3484116yes—
1364C24#3484116yes—
1365C24#3484116yes—
1366C24#3488116yes—
1367C24#3488116yes—
1368C24#3490116yes—
1369C24#3490116yes—
1370C24#3496116yes—
1371C24#3498116yes—
1372C24#3498116yes—
1373C24#3505116yes—
1374C24#3519116yes—
1375C24#3519116yes—
1376C24#3519116yes—
1377C24#3532116yes—
1378C24#3532116yes—
1379C24#3532116yes—
1380C24#3534116yes—
1381C24#3542116yes—
1382C24#3543116yes—
1383C24C24×D418yes—
1384C24C24×D418yes—
1385C24C24×D418yes—
1386C24C24×D418yes—
1387C24C24×D418yes—
1388C24C24×D418yes—
1389C24C24×D418yes—
1390C24C24×D418yes—
1391C24C24×D418yes—
1392C24C24×D418yes—
1393C24C24×D418yes—
1394C24C24×D416yes—
1395C24C24×D416yes—
1396C24C24×D416yes—
1397C24C24×D416yes—
1398C24C23×#4118yes—
1399C24C23×#4118yes—
1400C24C23×#4118yes—
1401C24C23×#4118yes—
1402C24C23×#4118yes—
1403C24C23×#4116yes—
1404C24C23×#4116yes—
1405C24C22×H(5,𝔽2)18yes—
1406C24C22×H(5,𝔽2)18yes—
1407C24C22×H(5,𝔽2)18yes—
1408C24C22×H(5,𝔽2)18yes—
1409C24C22×H(5,𝔽2)18yes—
1410C24C22×H(5,𝔽2)16yes—
1411C24C22×H(5,𝔽2)16yes—
1412C24C22×H(5,𝔽2)16yes—
1413C24C22×H(5,𝔽2)16yes—
1414C24C22×H(5,𝔽2)16yes—
1415C24C22×H(5,𝔽2)16yes—
1416C24C22×H(5,𝔽2)16yes—
1417C24C22×H(5,𝔽2)16yes—
1418C24C2×#58516yes—
1419C24C2711yescharacteristic
1420C2×D4C22×#1211256yescomplemented
1421C22×C4C22×#121196yes—
1422C22×C4C2×D42196yes—
1423C22×C4C2×D42196yes—
1424C22×C4C24×D418yes—
1425C22×C4C24×D418yes—
1426C22×C4C24×D418yes—
1427C22×C4C24×D418yes—
1428C22×C4C24×D418yes—
1429C22×C4C24×D418yes—
1430C22×C4C24×D418yes—
1431C22×C4C24×D418yes—
1432C22×C4C24×D418yes—
1433C22×C4C24×D418yes—
1434C22×C4C24×D418yes—
1435C22×C4C24×D418yes—
1436C22×C4C24×D418yes—
1437C22×C4C24×D418yes—
1438C22×C4C24×D418yes—
1439C22×C4C24×D418yes—
1440C22×C4C24×D418yes—
1441C22×C4C23×#4118yes—
1442C22×C4C22×H(5,𝔽2)18yes—
1443C22×C4C22×H(5,𝔽2)18yes—
1444C22×C4C22×H(5,𝔽2)18yes—
1445C23C2×#2424164yes—
1446C23C2×#24241384yescomplemented
1447C23#35691164yes—
1448C23#35692164yes—
1449C23D4×#121164yes—
1450C23#36096164yes—
1451C23#37720164yes—
1452C23#40728164yes—
1453C23#42997164yes—
1454C23#43098164yes—
1455C23#43886164yes—
1456C23#43932164yes—
1457C23#58990164yes—
1458C23#58991164yes—
1459C23#58991164yes—
1460C23#59126164yes—
1461C23C23×#121116yes—
1462C23C23×#121116yes—
1463C23C23×#121112yes—
1464C23C22×#525116yes—
1465C23C22×#525112yes—
1466C23C22×#538116yes—
1467C23C22×#538112yes—
1468C23C22×D42116yes—
1469C23C22×D42116yes—
1470C23C22×D42116yes—
1471C23C22×D42112yes—
1472C23C22×D42112yes—
1473C23C22×D42112yes—
1474C23C22×D42112yes—
1475C23C22×D42112yes—
1476C23C22×#546116yes—
1477C23C22×#546116yes—
1478C23C22×#546116yes—
1479C23C22×#546112yes—
1480C23C22×#546112yes—
1481C23C22×#546112yes—
1482C23C2×D4×#41112yes—
1483C23C2×#3532112yes—
1484C23C2×#3532112yes—
1485C23C2×#3532112yes—
1486C23C2×#3542112yes—
1487C23C2×#3534112yes—
1488C23C2×#3543112yes—
1489C23C2×#3484112yes—
1490C23C2×#3484112yes—
1491C23C2×#3484112yes—
1492C23C2×#3484112yes—
1493C23C2×#3484112yes—
1494C23C2×#3484112yes—
1495C23C2×#3496112yes—
1496C23C2×#3490112yes—
1497C23C2×#3490112yes—
1498C23C2×#3505112yes—
1499C23C2×#3519112yes—
1500C23C2×#3519112yes—
1501C23C2×#3519112yes—
1502C23C2×#3488112yes—
1503C23C2×#3488112yes—
1504C23C2×#3498112yes—
1505C23C2×#3498112yes—
1506C23C25×D411yescharacteristic
1507C23C25×D411yescharacteristic
1508C23C25×D411yescharacteristic
1509C23C25×D411yescharacteristic
1510C23C24×#4111yescharacteristic
1511C23C24×#4111yescharacteristic
1512C23C23×H(5,𝔽2)11yescharacteristic
1513C23C23×H(5,𝔽2)11yescharacteristic
1514C23C23×H(5,𝔽2)11yescharacteristic
1515C23C23×H(5,𝔽2)11yescharacteristic
1516C23C23×H(5,𝔽2)11yescharacteristic
1517C23C23×H(5,𝔽2)11yescharacteristic
1518C23C23×H(5,𝔽2)11yescharacteristic
1519C23C23×H(5,𝔽2)11yescharacteristic
1520C23C22×#58511yescharacteristic
1521C2×C4C23×#121116yes—
1522C2×C4C22×D42116yes—
1523C2×C4C22×D42116yes—
1524C22#7738941256yesdirect product factor
1525C22C22×#2424124yes—
1526C22C22×#2424132yescomplemented
1527C22C2×#35691124yes—
1528C22C2×#35692124yes—
1529C22C2×D4×#121124yes—
1530C22C2×#36096124yes—
1531C22C2×#37720124yes—
1532C22C2×#40728124yes—
1533C22C2×#58990124yes—
1534C22C2×#58991124yes—
1535C22C2×#58991124yes—
1536C22C2×#59126124yes—
1537C22C2×#42997124yes—
1538C22C2×#43098124yes—
1539C22C2×#43886124yes—
1540C22C2×#43932124yes—
1541C22C24×#12111yescharacteristic
1542C22C23×#52511yescharacteristic
1543C22C23×#53811yescharacteristic
1544C22C23×D4211yescharacteristic
1545C22C23×D4211yescharacteristic
1546C22C23×D4211yescharacteristic
1547C22C23×D4211yescharacteristic
1548C22C23×D4211yescharacteristic
1549C22C23×#54611yescharacteristic
1550C22C23×#54611yescharacteristic
1551C22C23×#54611yescharacteristic
1552C22C22×D4×#4111yescharacteristic
1553C22C22×#348411yescharacteristic
1554C22C22×#348411yescharacteristic
1555C22C22×#348411yescharacteristic
1556C22C22×#348411yescharacteristic
1557C22C22×#348411yescharacteristic
1558C22C22×#348411yescharacteristic
1559C22C22×#349611yescharacteristic
1560C22C22×#349011yescharacteristic
1561C22C22×#349011yescharacteristic
1562C22C22×#350511yescharacteristic
1563C22C22×#351911yescharacteristic
1564C22C22×#351911yescharacteristic
1565C22C22×#351911yescharacteristic
1566C22C22×#348811yescharacteristic
1567C22C22×#348811yescharacteristic
1568C22C22×#349811yescharacteristic
1569C22C22×#349811yescharacteristic
1570C22C22×#353211yescharacteristic
1571C22C22×#353211yescharacteristic
1572C22C22×#353211yescharacteristic
1573C22C22×#354211yescharacteristic
1574C22C22×#353411yescharacteristic
1575C22C22×#354311yescharacteristic
1576C2C22×#5899011yescharacteristic
1577C2C22×#4299711yescharacteristic
1578C2C22×#4309811yescharacteristic
1579C2C22×#5899111yescharacteristic
1580C2C22×#5899111yescharacteristic
1581C2C22×#3569111yescharacteristic
1582C2C22×#3609611yescharacteristic
1583C2C22×#5912611yescharacteristic
1584C2C22×#4388611yescharacteristic
1585C2C23×#242411yescharacteristic
1586C2C22×D4×#12111yescharacteristic
1587C2C22×#3772011yescharacteristic
1588C2C2×#773894148yesdirect product factor
1589C2C22×#3569211yescharacteristic
1590C2C22×#4393211yescharacteristic
1591C2C22×#4072811yescharacteristic
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×#15307C2semidirect
2. C22×#14754C2semidirect
3. C22×#13999C2semidirect
4. C22×#15630C2semidirect
5. C22×#16291C2semidirect
6. C22×#14726C2semidirect
7. C22×#14207C2semidirect
8. C22×#15376C2semidirect
9. C22×#16284C2semidirect
10. C22×#13975C2semidirect
11. C22×#14762C2semidirect
12. C22×#15273C2semidirect
13. C22×#15315C2semidirect
14. C22×#15315C2semidirect
15. C22×#14811C2semidirect
16. C22×#14718C2semidirect
17. C22×#13902C2semidirect
18. C2×#773894C2direct (N × H)
19. C23×#2424C2semidirect
20. C23×#2358C2semidirect
21. C22×#14725C2semidirect
22. C22×#15267C2semidirect
23. C22×#15257C2semidirect
24. C23×D4×C22⋊C4C2semidirect
25. C23×#2410C2semidirect
26. C22×#14716C2semidirect
27. C23×#2408C2semidirect
28. C22×#13967C2semidirect
29. C24×#392C2semidirect
30. C22×#13867C2semidirect
31. C23×#2403C2semidirect
32. C23×#2403C2semidirect
36. C26×D4C22semidirect
37. C24×#121C22semidirect
38. C24×#121C22semidirect
39. C24×#121C22semidirect
40. C24×#121C22semidirect
45. C24×#120C22semidirect
46. C24×#120C22semidirect
47. C24×#120C22semidirect
48. C24×#120C22semidirect
51. C24×C4×D4C22semidirect
53. C25×C22⋊C4C22semidirect
54. C25×C22⋊C4C22semidirect
55. C25×C22⋊C4C22semidirect
56. C25×C22⋊C4C22semidirect
57. C22×#2408C22semidirect
58. C22×#2424C22semidirect
59. C22×#2410C22semidirect
60. C22×#2403C22semidirect
61. C22×#2403C22semidirect
62. C23×#396C22semidirect
63. C23×#396C22semidirect
64. C23×#394C22semidirect
65. C23×#394C22semidirect
66. C23×#394C22semidirect
67. C23×#394C22semidirect
68. C23×#394C22semidirect
69. C23×#394C22semidirect
70. C23×#394C22semidirect
71. C23×#394C22semidirect
76. C23×#392C22semidirect
77. C23×#392C22semidirect
78. C23×#392C22semidirect
79. C23×#392C22semidirect
80. C23×#392C22semidirect
81. C23×#392C22semidirect
82. C23×#392C22semidirect
83. C23×#392C22semidirect
84. C23×#392C22semidirect
85. C23×#392C22semidirect
86. C23×#392C22semidirect
87. C23×#392C22semidirect
88. C23×#392C22semidirect
89. C23×#392C22semidirect
90. C23×#392C22semidirect
91. C23×#392C22semidirect
92. C23×#392C22semidirect
93. C22×#2358C22semidirect
94. C22×D4×C22⋊C4C22semidirect
95. C23×#390C22semidirect
96. C23×#390C22semidirect
97. C23×#390C22semidirect
98. C23×#390C22semidirect
99. C23×#390C22semidirect
100. C23×#390C22semidirect
101. C23×#390C22semidirect
102. C23×#390C22semidirect
103. C23×#390C22semidirect
104. C23×#388C22semidirect
105. C23×#388C22semidirect
106. C23×#388C22semidirect
113. C23×#386C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#386C22semidirect
117. C23×#386C22semidirect
118. C23×#386C22semidirect
119. C23×#386C22semidirect
120. C23×#386C22semidirect
121. C23×#386C22semidirect
122. C23×#386C22semidirect
123. C23×#386C22semidirect
124. C23×#386C22semidirect
125. C23×#386C22semidirect
126. C23×#386C22semidirect
127. C23×#386C22semidirect
128. C23×#386C22semidirect
129. C23×#385C22semidirect
130. C23×#385C22semidirect
131. C23×#385C22semidirect
132. C23×#385C22semidirect
133. C23×#380C22semidirect
134. C23×#380C22semidirect
135. C23×#380C22semidirect
139. C23×#379C22semidirect
140. C23×#379C22semidirect
141. C23×#379C22semidirect
142. C23×#379C22semidirect
143. C23×C4×C22⋊C4C22semidirect
144. C23×C4×C22⋊C4C22semidirect
145. C23×C4×C22⋊C4C22semidirect
146. C24×#95C22semidirect
147. #773894C22direct (N × H)
148. C2×#16291C22semidirect
149. C2×#16284C22semidirect
150. C2×#15630C22semidirect
151. C2×#15376C22semidirect
152. C2×#15315C22semidirect
153. C2×#15315C22semidirect
154. C2×#15307C22semidirect
155. C2×#15273C22semidirect
156. C2×#15267C22semidirect
157. C2×#15257C22semidirect
158. C2×#14811C22semidirect
159. C2×#14762C22semidirect
160. C2×#14754C22semidirect
161. C2×#14726C22semidirect
162. C2×#14725C22semidirect
163. C2×#14718C22semidirect
164. C2×#14716C22semidirect
165. C2×#14207C22semidirect
166. C2×#13999C22semidirect
167. C2×#13975C22semidirect
168. C2×#13967C22semidirect
169. C2×#13902C22semidirect
170. C2×#13867C22semidirect
171. C22×#1444C22semidirect
172. C22×#1443C22semidirect
173. C22×#1442C22semidirect
174. C22×#1442C22semidirect
175. C22×#1440C22semidirect
176. C22×#1440C22semidirect
177. C22×#1440C22semidirect
178. C22×#1440C22semidirect
179. C22×#1440C22semidirect
180. C22×#1439C22semidirect
181. C22×#1439C22semidirect
182. C22×#1439C22semidirect
183. C22×#1439C22semidirect
184. C22×#1439C22semidirect
185. C22×#1439C22semidirect
186. C22×#1439C22semidirect
187. C22×#1439C22semidirect
188. C22×#1439C22semidirect
189. C22×#1439C22semidirect
190. C22×#1439C22semidirect
191. C22×#1439C22semidirect
192. C22×#1439C22semidirect
193. C22×#1439C22semidirect
194. C22×#1439C22semidirect
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×#1438C22semidirect
204. C22×#1438C22semidirect
205. C22×#1438C22semidirect
206. C22×#1438C22semidirect
207. C22×#1438C22semidirect
208. C22×#1438C22semidirect
209. C22×#1437C22semidirect
210. C22×#1437C22semidirect
211. C22×#1437C22semidirect
212. C22×#1436C22semidirect
213. C22×#1436C22semidirect
214. C22×#1436C22semidirect
215. C22×#1434C22semidirect
216. C22×C22⋊#95C22semidirect
217. C22×C22⋊#95C22semidirect
218. C22×C22⋊#95C22semidirect
219. C22×C22⋊#95C22semidirect
251. C25×D4C23semidirect
261. C23×#121C23semidirect
262. C23×#121C23semidirect
263. C23×#121C23semidirect
264. C23×#121C23semidirect
265. C23×#120D4semidirect
270. C23×#120C23semidirect
271. C23×#120C23semidirect
272. C23×#120C23semidirect
273. C23×#120C23semidirect
276. C23×C4×D4C23semidirect
354. C24×C22⋊C4C23semidirect
355. C24×C22⋊C4C23semidirect
356. C24×C22⋊C4C23semidirect
357. C24×C22⋊C4C23semidirect
362. C2×#2408C23semidirect
363. C2×#2424C23semidirect
364. C2×#2410C23semidirect
365. C2×#2403C23semidirect
366. C2×#2403C23semidirect
367. C22×#396C23semidirect
368. C22×#396C23semidirect
369. C22×#394C23semidirect
370. C22×#394C23semidirect
371. C22×#394C23semidirect
372. C22×#394C23semidirect
373. C22×#394C23semidirect
374. C22×#394C23semidirect
375. C22×#394C23semidirect
376. C22×#394C23semidirect
377. C22×#392D4semidirect
382. C22×#392C23semidirect
383. C22×#392C23semidirect
384. C22×#392C23semidirect
385. C22×#392C23semidirect
386. C22×#392C23semidirect
387. C22×#392C23semidirect
388. C22×#392C23semidirect
389. C22×#392C23semidirect
390. C22×#392C23semidirect
391. C22×#392C23semidirect
392. C22×#392C23semidirect
393. C22×#392C23semidirect
394. C22×#392C23semidirect
395. C22×#392C23semidirect
396. C22×#392C23semidirect
397. C22×#392C23semidirect
398. C22×#392C23semidirect
399. C2×#2358C23semidirect
400. C2×D4×C22⋊C4C23semidirect
401. C22×#390C23semidirect
402. C22×#390C23semidirect
403. C22×#390C23semidirect
404. C22×#390C23semidirect
405. C22×#390C23semidirect
406. C22×#390C23semidirect
407. C22×#390C23semidirect
408. C22×#390C23semidirect
409. C22×#390C23semidirect
410. C22×#388C23semidirect
411. C22×#388C23semidirect
412. C22×#388C23semidirect
413. C22×#386D4semidirect
414. C22×#386D4semidirect
421. C22×#386C23semidirect
422. C22×#386C23semidirect
423. C22×#386C23semidirect
424. C22×#386C23semidirect
425. C22×#386C23semidirect
426. C22×#386C23semidirect
427. C22×#386C23semidirect
428. C22×#386C23semidirect
429. C22×#386C23semidirect
430. C22×#386C23semidirect
431. C22×#386C23semidirect
432. C22×#386C23semidirect
433. C22×#386C23semidirect
434. C22×#386C23semidirect
435. C22×#386C23semidirect
436. C22×#386C23semidirect
437. C22×#385C23semidirect
438. C22×#385C23semidirect
439. C22×#385C23semidirect
440. C22×#385C23semidirect
441. C22×#380C23semidirect
442. C22×#380C23semidirect
443. C22×#380C23semidirect
447. C22×#379C23semidirect
448. C22×#379C23semidirect
449. C22×#379C23semidirect
450. C22×#379C23semidirect
451. C22×C4×C22⋊C4C23semidirect
452. C22×C4×C22⋊C4C23semidirect
453. C22×C4×C22⋊C4C23semidirect
492. C23×#95C23semidirect
493. #16291C23semidirect
494. #16284C23semidirect
495. #15630C23semidirect
496. #15376C23semidirect
497. #15315C23semidirect
498. #15315C23semidirect
499. #15307C23semidirect
500. #15273C23semidirect
501. #15267C23semidirect
502. #15257C23semidirect
503. #14811C23semidirect
504. #14762C23semidirect
505. #14754C23semidirect
506. #14726C23semidirect
507. #14725C23semidirect
508. #14718C23semidirect
509. #14716C23semidirect
510. #14207C23semidirect
511. #13999C23semidirect
512. #13975C23semidirect
513. #13967C23semidirect
514. #13902C23semidirect
515. #13867C23semidirect
516. C2×#1444C23semidirect
517. C2×#1443C23semidirect
518. C2×#1442C23semidirect
519. C2×#1442C23semidirect
520. C2×#1440C23semidirect
521. C2×#1440C23semidirect
522. C2×#1440C23semidirect
523. C2×#1440C23semidirect
524. C2×#1440C23semidirect
525. C2×#1439C23semidirect
526. C2×#1439C23semidirect
527. C2×#1439C23semidirect
528. C2×#1439C23semidirect
529. C2×#1439C23semidirect
530. C2×#1439C23semidirect
531. C2×#1439C23semidirect
532. C2×#1439C23semidirect
533. C2×#1439C23semidirect
534. C2×#1439C23semidirect
535. C2×#1439C23semidirect
536. C2×#1439C23semidirect
537. C2×#1439C23semidirect
538. C2×#1439C23semidirect
539. C2×#1439C23semidirect
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×#1438C23semidirect
550. C2×#1438C23semidirect
551. C2×#1438C23semidirect
552. C2×#1438C23semidirect
553. C2×#1438C23semidirect
554. C2×#1437C23semidirect
555. C2×#1437C23semidirect
556. C2×#1437C23semidirect
557. C2×#1436C23semidirect
558. C2×#1436C23semidirect
559. C2×#1436C23semidirect
560. C2×#1434C23semidirect
561. C2×C22⋊#95C23semidirect
562. C2×C22⋊#95C23semidirect
563. C2×C22⋊#95C23semidirect
564. C2×C22⋊#95C23semidirect
585. C24×D4C2×D4semidirect
586. C24×D4C2×D4semidirect
587. C24×D4C2×D4semidirect
616. C24×D4C24semidirect
650. C22×#121C24semidirect
651. C22×#121C24semidirect
652. C22×#121C24semidirect
653. C22×#121C24semidirect
654. C22×#120C2×D4semidirect
659. C22×#120C24semidirect
660. C22×#120C24semidirect
661. C22×#120C24semidirect
662. C22×#120C24semidirect
665. C22×C4×D4C24semidirect
680. C23×C22⋊C4C2×D4semidirect
681. C23×C22⋊C4C2×D4semidirect
682. C23×C22⋊C4C2×D4semidirect
683. C23×C22⋊C4C2×D4semidirect
684. C23×C22⋊C4C2×D4semidirect
685. C23×C22⋊C4C2×D4semidirect
686. C23×C22⋊C4C2×D4semidirect
687. C23×C22⋊C4C2×D4semidirect
755. C23×C22⋊C4C24semidirect
756. C23×C22⋊C4C24semidirect
757. C23×C22⋊C4C24semidirect
758. C23×C22⋊C4C24semidirect
763. C2×#396C24semidirect
764. C2×#396C24semidirect
765. C2×#394C24semidirect
766. C2×#394C24semidirect
767. C2×#394C24semidirect
768. C2×#394C24semidirect
769. C2×#394C24semidirect
770. C2×#394C24semidirect
771. C2×#394C24semidirect
772. C2×#394C24semidirect
773. C2×#392C2×D4semidirect
778. C2×#392C24semidirect
779. C2×#392C24semidirect
780. C2×#392C24semidirect
781. C2×#392C24semidirect
782. C2×#392C24semidirect
783. C2×#392C24semidirect
784. C2×#392C24semidirect
785. C2×#392C24semidirect
786. C2×#392C24semidirect
787. C2×#392C24semidirect
788. C2×#392C24semidirect
789. C2×#392C24semidirect
790. C2×#392C24semidirect
791. C2×#392C24semidirect
792. C2×#392C24semidirect
793. C2×#392C24semidirect
794. C2×#390C24semidirect
795. C2×#390C24semidirect
796. C2×#390C24semidirect
797. C2×#390C24semidirect
798. C2×#390C24semidirect
799. C2×#390C24semidirect
800. C2×#390C24semidirect
801. C2×#390C24semidirect
802. C2×#390C24semidirect
803. C2×#388C24semidirect
804. C2×#388C24semidirect
805. C2×#388C24semidirect
806. C2×#386C2×D4semidirect
807. C2×#386C2×D4semidirect
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×#380C24semidirect
835. C2×#380C24semidirect
836. C2×#380C24semidirect
840. C2×#379C24semidirect
841. C2×#379C24semidirect
842. C2×#379C24semidirect
843. C2×#379C24semidirect
844. C2×C4×C22⋊C4C24semidirect
845. C2×C4×C22⋊C4C24semidirect
846. C2×C4×C22⋊C4C24semidirect
847. C22×#95C2×D4semidirect
848. C22×#95C2×D4semidirect
849. C22×#95C2×D4semidirect
850. C22×#95C2×D4semidirect
851. C22×#95C2×D4semidirect
890. C22×#95C24semidirect
891. #1444C24semidirect
892. #1443C24semidirect
893. #1442C24semidirect
894. #1442C24semidirect
895. #1440C24semidirect
896. #1440C24semidirect
897. #1440C24semidirect
898. #1440C24semidirect
899. #1440C24semidirect
900. #1439C24semidirect
901. #1439C24semidirect
902. #1439C24semidirect
903. #1439C24semidirect
904. #1439C24semidirect
905. #1439C24semidirect
906. #1439C24semidirect
907. #1439C24semidirect
908. #1439C24semidirect
909. #1439C24semidirect
910. #1439C24semidirect
911. #1439C24semidirect
912. #1439C24semidirect
913. #1439C24semidirect
914. #1439C24semidirect
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. #1437C24semidirect
930. #1437C24semidirect
931. #1437C24semidirect
932. #1436C24semidirect
933. #1436C24semidirect
934. #1436C24semidirect
935. #1434C24semidirect
936. C22⋊#95C24semidirect
937. C22⋊#95C24semidirect
938. C22⋊#95C24semidirect
939. C22⋊#95C24semidirect
977. C23×D4#121semidirect
983. C23×D4C22×D4semidirect
984. C23×D4C22×D4semidirect
985. C23×D4C22×D4semidirect
1065. C2×#120C22×D4semidirect
1080. C22×C22⋊C4C22×D4semidirect
1081. C22×C22⋊C4C22×D4semidirect
1082. C22×C22⋊C4C22×D4semidirect
1083. C22×C22⋊C4C22×D4semidirect
1084. C22×C22⋊C4C22×D4semidirect
1085. C22×C22⋊C4C22×D4semidirect
1086. C22×C22⋊C4C22×D4semidirect
1087. C22×C22⋊C4C22×D4semidirect
1158. #392C22×D4semidirect
1159. #386C22×D4semidirect
1160. #386C22×D4semidirect
1161. C2×#95C22×D4semidirect
1162. C2×#95C22×D4semidirect
1163. C2×#95C22×D4semidirect
1164. C2×#95C22×D4semidirect
1165. C2×#95C22×D4semidirect
1262. C22×D4C2×#121semidirect
1268. C22×D4C23×D4semidirect
1269. C22×D4C23×D4semidirect
1270. C22×D4C23×D4semidirect
1324. C2×C22⋊C4C23×D4semidirect
1325. C2×C22⋊C4C23×D4semidirect
1326. C2×C22⋊C4C23×D4semidirect
1327. C2×C22⋊C4C23×D4semidirect
1328. C2×C22⋊C4C23×D4semidirect
1329. C2×C22⋊C4C23×D4semidirect
1330. C2×C22⋊C4C23×D4semidirect
1331. C2×C22⋊C4C23×D4semidirect
1332. #95C23×D4semidirect
1333. #95C23×D4semidirect
1334. #95C23×D4semidirect
1335. #95C23×D4semidirect
1336. #95C23×D4semidirect
1337. C24#2424semidirect
1420. C2×D4C22×#121semidirect
1446. C23C2×#2424semidirect
1524. C22#773894direct (N × H)
1526. C22C22×#2424semidirect
1588. C2C2×#773894direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#153072
C22×#147542
C22×#139992
C22×#156302
C22×#162912
C22×#147262
C22×#142072
C22×#153762
C22×#162842
C22×#139752
C22×#147622
C22×#152732
C22×#153152
C22×#148112
C22×#147182
C22×#139022
C2×#7738942
C23×#24242
C23×#23582
C22×#147252
C22×#152672
C22×#152572
C23×D4×C22⋊C42
C23×#24102
C22×#147162
C23×#24082
C22×#139672
C24×#3922
C22×#138672
C23×#24032