Finite Group Databasebeta

← C22×#525856 #72339478

Subgroups — C22×#525856 #72339478

Order 2048.

At least 6948 conjugacy classes of subgroups; only the 70152 normal subgroups are shown.

The subgroup lattice has 1707 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13791C211yesmaximal, characteristic, complemented
2C22×#14377C211yesmaximal, characteristic, complemented
3C22×#14438C211yesmaximal, characteristic, complemented
4C2×#525856C2196yesmaximal, direct product factor
5C22×#14311C211yesmaximal, characteristic, complemented
6C22×#13896C211yesmaximal, characteristic, complemented
7C22×#13809C211yesmaximal, characteristic, complemented
8C22×#14082C211yesmaximal, characteristic, complemented
9C22×#14520C211yesmaximal, characteristic, complemented
10C22×#14299C211yesmaximal, characteristic, complemented
11C22×#14519C211yesmaximal, characteristic, complemented
12C22×#14519C211yesmaximal, characteristic, complemented
13C22×#14519C211yesmaximal, characteristic, complemented
14C22×#14025C211yesmaximal, characteristic, complemented
15C22×#14175C211yesmaximal, characteristic, complemented
16C22×#14175C211yesmaximal, characteristic, complemented
17C22×#14419C211yesmaximal, characteristic, complemented
18C22×#14419C211yesmaximal, characteristic, complemented
19C22×#14023C211yesmaximal, characteristic, complemented
20C22×#14023C211yesmaximal, characteristic, complemented
21C24×#386C211yesmaximal, characteristic, complemented
22C23×#2358C211yesmaximal, characteristic, complemented
23C22×#14134C211yesmaximal, characteristic, complemented
24C22×#13995C211yesmaximal, characteristic, complemented
25C22×#13995C211yesmaximal, characteristic, complemented
26C23×#2433C211yesmaximal, characteristic
27C23×C4×#120C211yesmaximal, characteristic, complemented
28C22×#13967C211yesmaximal, characteristic, complemented
29C22×#13967C211yesmaximal, characteristic, complemented
30C22×#14694C211yesmaximal, characteristic, complemented
31C22×#13867C211yesmaximal, characteristic, complemented
32C23×#2328C211yesmaximal, characteristic, complemented
33C26×D4C2211yescharacteristic
34C27×C4C2211yescharacteristic
35C24×#127C2211yescharacteristic
36C24×#127C2211yescharacteristic
37C24×#121C2211yescharacteristic
38C24×#120C2211yescharacteristic
39C24×#120C2211yescharacteristic
40C24×#120C2211yescharacteristic
41C24×#120C2211yescharacteristic
42C24×C4×D4C2211yescharacteristic
43C24×C4×D4C2211yescharacteristic
44C24×C4×D4C2211yescharacteristic, complemented
45C24×C4×D4C2211yescharacteristic, complemented
46C24×C4×D4C2211yescharacteristic, complemented
47C25×C22⋊C4C2211yescharacteristic
48C25×C22⋊C4C2211yescharacteristic
49C25×C22⋊C4C2211yescharacteristic
50C25×C22⋊C4C2211yescharacteristic
51C22×#2433C4164yescomplemented
52C22×#2433C22148yes—
53C23×#392C2211yescharacteristic
54C23×#392C2211yescharacteristic
55C23×#392C2211yescharacteristic
56C23×#392C2211yescharacteristic
57C22×#2358C22148yescomplemented
58C22×#2328C22148yescomplemented
59C22×C4×#120C22148yescomplemented
60C23×#390C2211yescharacteristic
61C23×#390C2211yescharacteristic
62C23×#390C2211yescharacteristic, complemented
63C23×#390C2211yescharacteristic, complemented
64C23×#390C2211yescharacteristic, complemented
65C23×#390C2211yescharacteristic, complemented
66C23×#390C2211yescharacteristic, complemented
67C23×#388C2211yescharacteristic, complemented
68C23×#388C2211yescharacteristic, complemented
69C23×#386C2211yescharacteristic
70C23×#386C2211yescharacteristic
71C23×#386C2211yescharacteristic
72C23×#386C2211yescharacteristic
73C23×#386C2211yescharacteristic
74C23×#386C2211yescharacteristic
75C23×#386C2211yescharacteristic
76C23×#386C2211yescharacteristic
77C23×#386C2211yescharacteristic
78C23×#386C2211yescharacteristic
79C23×#386C2211yescharacteristic
80C23×#386C2211yescharacteristic
81C23×#386C2211yescharacteristic
82C23×#386C2211yescharacteristic
83C23×#386C2211yescharacteristic
84C23×#386C2211yescharacteristic
85C23×#386C2211yescharacteristic
86C23×#386C2211yescharacteristic
87C23×#386C22148yescomplemented
88C23×#386C2211yescharacteristic, complemented
89C23×#386C2211yescharacteristic, complemented
90C23×#386C2211yescharacteristic, complemented
91C23×#386C2211yescharacteristic, complemented
92C23×#386C2211yescharacteristic, complemented
93C23×#386C2211yescharacteristic, complemented
94C23×#386C2211yescharacteristic, complemented
95C23×#386C2211yescharacteristic, complemented
96C23×#386C2211yescharacteristic, complemented
97C23×#386C2211yescharacteristic, complemented
98C23×#386C2211yescharacteristic, complemented
99C23×#386C2211yescharacteristic, complemented
100C23×#386C2211yescharacteristic, complemented
101C23×#386C2211yescharacteristic, complemented
102C23×#386C2211yescharacteristic, complemented
103C23×#386C2211yescharacteristic, complemented
104C23×#385C2211yescharacteristic
105C23×#385C2211yescharacteristic
106C23×#385C2211yescharacteristic, complemented
107C23×#385C2211yescharacteristic, complemented
108C23×#385C2211yescharacteristic, complemented
109C23×#382C2211yescharacteristic, complemented
110C23×#379C2211yescharacteristic
111C23×#379C2211yescharacteristic
112C23×#379C2211yescharacteristic
113C23×C4×C22⋊C4C2211yescharacteristic
114C23×C4×C22⋊C4C2211yescharacteristic
115C23×C4×C22⋊C4C2211yescharacteristic
116C23×C4×C22⋊C4C2211yescharacteristic, complemented
117C23×C4×C22⋊C4C2211yescharacteristic, complemented
118C23×C4×C22⋊C4C2211yescharacteristic, complemented
119C23×#376C2211yescharacteristic, complemented
120C24×#95C2211yescharacteristic
121C24×#95C2211yescharacteristic
122C2×#14694C22148yescomplemented
123#525856C2211024yesdirect product factor
124C2×#14520C22148yescomplemented
125C2×#14519C22148yescomplemented
126C2×#14519C22148yescomplemented
127C2×#14519C22148yescomplemented
128C2×#14438C22148yescomplemented
129C2×#14419C22148yescomplemented
130C2×#14419C22148yescomplemented
131C2×#14377C22148yescomplemented
132C2×#14311C22148yescomplemented
133C2×#14299C22148yescomplemented
134C2×#14175C22148yescomplemented
135C2×#14175C22148yescomplemented
136C2×#14134C22148yescomplemented
137C2×#14082C22148yescomplemented
138C2×#14025C22148yescomplemented
139C2×#14023C22148yescomplemented
140C2×#14023C22148yescomplemented
141C2×#13995C22148yescomplemented
142C2×#13995C22148yescomplemented
143C2×#13967C22148yescomplemented
144C2×#13967C22148yescomplemented
145C2×#13896C22148yescomplemented
146C2×#13867C22148yescomplemented
147C22×#1442C2211yescharacteristic, complemented
148C22×#1442C2211yescharacteristic, complemented
149C22×#1442C2211yescharacteristic, complemented
150C22×#1442C2211yescharacteristic, complemented
151C22×#1441C2211yescharacteristic, complemented
152C22×#1441C2211yescharacteristic, complemented
153C22×#1440C2211yescharacteristic, complemented
154C22×#1440C2211yescharacteristic, complemented
155C22×#1440C2211yescharacteristic, complemented
156C22×#1440C2211yescharacteristic, complemented
157C22×#1439C2211yescharacteristic, complemented
158C22×#1439C2211yescharacteristic, complemented
159C22×#1439C2211yescharacteristic, complemented
160C22×#1439C2211yescharacteristic, complemented
161C22×#1439C2211yescharacteristic, complemented
162C22×#1439C2211yescharacteristic, complemented
163C22×#1439C2211yescharacteristic, complemented
164C22×#1439C2211yescharacteristic, complemented
165C22×#1439C2211yescharacteristic, complemented
166C22×#1439C2211yescharacteristic, complemented
167C22×#1438C2211yescharacteristic
168C22×#1438C2211yescharacteristic
169C22×#1438C2211yescharacteristic
170C22×#1438C2211yescharacteristic
171C22×#1438C2211yescharacteristic, complemented
172C22×#1438C2211yescharacteristic, complemented
173C22×#1438C2211yescharacteristic, complemented
174C22×#1438C2211yescharacteristic, complemented
175C22×#1438C2211yescharacteristic, complemented
176C22×#1438C2211yescharacteristic, complemented
177C22×#1438C2211yescharacteristic, complemented
178C22×#1438C2211yescharacteristic, complemented
179C22×#1438C2211yescharacteristic, complemented
180C22×#1438C2211yescharacteristic, complemented
181C22×#1438C2211yescharacteristic, complemented
182C22×#1438C2211yescharacteristic, complemented
183C2×#13809C22148yescomplemented
184C2×#13791C22148yescomplemented
185C22×#1437C2211yescharacteristic, complemented
186C22×#1437C2211yescharacteristic, complemented
187C22×#1437C2211yescharacteristic, complemented
188C22×#1437C2211yescharacteristic, complemented
189C22×#1437C2211yescharacteristic, complemented
190C22×#1437C2211yescharacteristic, complemented
191C22×#1437C2211yescharacteristic, complemented
192C22×#1437C2211yescharacteristic, complemented
193C22×#1437C2211yescharacteristic, complemented
194C22×#1437C2211yescharacteristic, complemented
195C22×#1436C2211yescharacteristic, complemented
196C22×#1436C2211yescharacteristic, complemented
197C22×C4⋊#95C2211yescharacteristic, complemented
198C22×#1434C2211yescharacteristic, complemented
199C22×#1434C2211yescharacteristic, complemented
200C22×#1434C2211yescharacteristic, complemented
201C22×#1434C2211yescharacteristic, complemented
202C22×#1434C2211yescharacteristic, complemented
203C22×#1434C2211yescharacteristic, complemented
204C22×#1434C2211yescharacteristic, complemented
205C22×#1434C2211yescharacteristic, complemented
206C22×C22⋊#95C2211yescharacteristic
207C22×C22⋊#95C2211yescharacteristic
208C22×C22⋊#95C2211yescharacteristic
209C22×C22⋊#95C2211yescharacteristic
210C22×C22⋊#95C2211yescharacteristic
211C22×C22⋊#95C2211yescharacteristic
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
220C22×C4×#95C2211yescharacteristic, complemented
221C28C2311yescharacteristic
222C28C2311yescharacteristic
223C25×D4C2×C4132yescomplemented
224C25×D4C2311yescharacteristic
225C25×D4C2311yescharacteristic
226C25×D4C2311yescharacteristic
227C25×D4C2311yescharacteristic
228C25×D4C2311yescharacteristic
229C25×D4C2311yescharacteristic
230C25×D4C2311yescharacteristic
231C25×D4C2311yescharacteristic
232C25×D4C2311yescharacteristic
233C25×D4C2311yescharacteristic
234C25×D4C2311yescharacteristic
235C25×D4C2311yescharacteristic
236C25×D4C23124yes—
237C25×D4C2311yescharacteristic
238C25×D4C2311yescharacteristic
239C25×D4C2311yescharacteristic
240C26×C4C2311yescharacteristic
241C26×C4C2311yescharacteristic
242C26×C4C2311yescharacteristic
243C26×C4C2311yescharacteristic
244C26×C4C2311yescharacteristic
245C26×C4C2311yescharacteristic
246C26×C4C2311yescharacteristic
247C26×C4C2311yescharacteristic
248C26×C4C2311yescharacteristic
249C26×C4C2311yescharacteristic
250C26×C4C2311yescharacteristic
251C26×C4C2311yescharacteristic
252C26×C4C23124yes—
253C26×C4C2311yescharacteristic
254C23×#127C2×C4132yescomplemented
255C23×#127C2×C4132yescomplemented
256C23×#127C23124yes—
257C23×#127C23124yes—
258C23×#121C2×C4132yescomplemented
259C23×#121C23124yes—
260C23×#120C2×C4132yescomplemented
261C23×#120C2×C4132yescomplemented
262C23×#120C2×C4132yescomplemented
263C23×#120C2×C4132yescomplemented
264C23×#120C23124yes—
265C23×#120C23124yes—
266C23×#120C23124yes—
267C23×#120C23124yes—
268C23×C4×D4C23124yes—
269C23×C4×D4C23124yes—
270C23×C4×D4C23124yescomplemented
271C23×C4×D4C23124yescomplemented
272C23×C4×D4C23124yescomplemented
273C24×C4⋊C4C2311yescharacteristic
274C24×C4⋊C4C2311yescharacteristic
275C24×C4⋊C4C2311yescharacteristic
276C24×C4⋊C4C2311yescharacteristic
277C24×C4⋊C4C2311yescharacteristic
278C24×C4⋊C4C2311yescharacteristic
279C24×C4⋊C4C2311yescharacteristic
280C24×C22⋊C4C2311yescharacteristic
281C24×C22⋊C4C2311yescharacteristic
282C24×C22⋊C4C2311yescharacteristic
283C24×C22⋊C4C2311yescharacteristic
284C24×C22⋊C4C2311yescharacteristic
285C24×C22⋊C4C2311yescharacteristic
286C24×C22⋊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⋊C4C23124yes—
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⋊C4C2311yescharacteristic
311C24×C22⋊C4C23124yes—
312C24×C22⋊C4C23124yes—
313C24×C22⋊C4C2311yescharacteristic
314C24×C22⋊C4C2311yescharacteristic
315C24×C22⋊C4C23124yes—
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×C42C2311yescharacteristic
341C24×C42C2311yescharacteristic
342C24×C42C2311yescharacteristic
343C24×C42C2311yescharacteristic
344C24×C42C2311yescharacteristic
345C24×C42C2311yescharacteristic
346C24×C42C2311yescharacteristic
347C24×C42C2311yescharacteristic
348C2×#2433C2×C411536yescomplemented
349C2×#2433C231256yes—
350C22×#392C2×C4132yescomplemented
351C22×#392C2×C4132yescomplemented
352C22×#392C2×C4132yescomplemented
353C22×#392C2×C4132yescomplemented
354C22×#392C23124yes—
355C22×#392C23124yes—
356C22×#392C23124yes—
357C22×#392C23124yes—
358C2×#2358C231256yescomplemented
359C2×#2328C231256yescomplemented
360C2×C4×#120C231256yescomplemented
361C22×#390C2×C4132yescomplemented
362C22×#390C2×C4132yescomplemented
363C22×#390C23124yes—
364C22×#390C23124yes—
365C22×#390C23124yescomplemented
366C22×#390C23124yescomplemented
367C22×#390C23124yescomplemented
368C22×#390C23124yescomplemented
369C22×#390C23124yescomplemented
370C22×#388C23124yescomplemented
371C22×#388C23124yescomplemented
372C22×#386D4132yescomplemented
373C22×#386C23124yes—
374C22×#386C23124yes—
375C22×#386C23124yes—
376C22×#386C23124yes—
377C22×#386C23124yes—
378C22×#386C23124yes—
379C22×#386C23124yes—
380C22×#386C23124yes—
381C22×#386C23124yes—
382C22×#386C23124yes—
383C22×#386C23124yes—
384C22×#386C23124yes—
385C22×#386C23124yes—
386C22×#386C23124yes—
387C22×#386C23124yes—
388C22×#386C23124yes—
389C22×#386C23124yes—
390C22×#386C23124yes—
391C22×#386C231256yescomplemented
392C22×#386C23124yescomplemented
393C22×#386C23124yescomplemented
394C22×#386C23124yescomplemented
395C22×#386C23124yescomplemented
396C22×#386C23124yescomplemented
397C22×#386C23124yescomplemented
398C22×#386C23124yescomplemented
399C22×#386C23124yescomplemented
400C22×#386C23124yescomplemented
401C22×#386C23124yescomplemented
402C22×#386C23124yescomplemented
403C22×#386C23124yescomplemented
404C22×#386C23124yescomplemented
405C22×#386C23124yescomplemented
406C22×#386C23124yescomplemented
407C22×#386C23124yescomplemented
408C22×#385C23124yes—
409C22×#385C23124yes—
410C22×#385C23124yescomplemented
411C22×#385C23124yescomplemented
412C22×#385C23124yescomplemented
413C22×#382C23124yescomplemented
414C22×#379C23124yes—
415C22×#379C23124yes—
416C22×#379C23124yes—
417C22×C4×C22⋊C4C2×C4132yescomplemented
418C22×C4×C22⋊C4D4132yescomplemented
419C22×C4×C22⋊C4C23124yes—
420C22×C4×C22⋊C4C23124yes—
421C22×C4×C22⋊C4C23124yes—
422C22×C4×C22⋊C4C23124yescomplemented
423C22×C4×C22⋊C4C23124yescomplemented
424C22×C4×C22⋊C4C23124yescomplemented
425C22×#376C23124yescomplemented
426C23×#95C2311yescharacteristic
427C23×#95C2311yescharacteristic
428C23×#95C2311yescharacteristic
429C23×#95C2311yescharacteristic
430C23×#95C2311yescharacteristic
431C23×#95C2311yescharacteristic
432C23×#95C2311yescharacteristic
433C23×#95C2311yescharacteristic
434C23×#95C2311yescharacteristic
435C23×#95C2311yescharacteristic
436C23×#95C2311yescharacteristic
437C23×#95C2311yescharacteristic
438C23×#95C2311yescharacteristic
439C23×#95C2311yescharacteristic
440C23×#95C2311yescharacteristic
441C23×#95C2311yescharacteristic
442C23×#95C2311yescharacteristic
443C23×#95C2311yescharacteristic
444C23×#95C2311yescharacteristic
445C23×#95C2311yescharacteristic
446C23×#95C23124yes—
447C23×#95C23124yes—
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×#95C2311yescharacteristic
477C23×#95C2311yescharacteristic
478C23×#95C2311yescharacteristic
479C23×#95C2311yescharacteristic
480C23×#95C2311yescharacteristic
481C23×#95C2311yescharacteristic
482#14694C231256yescomplemented
483#14520C231256yescomplemented
484#14519C231256yescomplemented
485#14519C231256yescomplemented
486#14519C231256yescomplemented
487#14438C231256yescomplemented
488#14419C231256yescomplemented
489#14419C231256yescomplemented
490#14377C231256yescomplemented
491#14311C231256yescomplemented
492#14299C231256yescomplemented
493#14175C231256yescomplemented
494#14175C231256yescomplemented
495#14134C231256yescomplemented
496#14082C231256yescomplemented
497#14025C231256yescomplemented
498#14023C231256yescomplemented
499#14023C231256yescomplemented
500#13995C231256yescomplemented
501#13995C231256yescomplemented
502#13967C231256yescomplemented
503#13967C231256yescomplemented
504#13896C231256yescomplemented
505#13867C231256yescomplemented
506C2×#1442C23124yescomplemented
507C2×#1442C23124yescomplemented
508C2×#1442C23124yescomplemented
509C2×#1442C23124yescomplemented
510C2×#1441C23124yescomplemented
511C2×#1441C23124yescomplemented
512C2×#1440C23124yescomplemented
513C2×#1440C23124yescomplemented
514C2×#1440C23124yescomplemented
515C2×#1440C23124yescomplemented
516C2×#1439C23124yescomplemented
517C2×#1439C23124yescomplemented
518C2×#1439C23124yescomplemented
519C2×#1439C23124yescomplemented
520C2×#1439C23124yescomplemented
521C2×#1439C23124yescomplemented
522C2×#1439C23124yescomplemented
523C2×#1439C23124yescomplemented
524C2×#1439C23124yescomplemented
525C2×#1439C23124yescomplemented
526C2×#1438C23124yes—
527C2×#1438C23124yes—
528C2×#1438C23124yes—
529C2×#1438C23124yes—
530C2×#1438C23124yescomplemented
531C2×#1438C23124yescomplemented
532C2×#1438C23124yescomplemented
533C2×#1438C23124yescomplemented
534C2×#1438C23124yescomplemented
535C2×#1438C23124yescomplemented
536C2×#1438C23124yescomplemented
537C2×#1438C23124yescomplemented
538C2×#1438C23124yescomplemented
539C2×#1438C23124yescomplemented
540C2×#1438C23124yescomplemented
541C2×#1438C23124yescomplemented
542#13809C231256yescomplemented
543#13791C231256yescomplemented
544C2×#1437C23124yescomplemented
545C2×#1437C23124yescomplemented
546C2×#1437C23124yescomplemented
547C2×#1437C23124yescomplemented
548C2×#1437C23124yescomplemented
549C2×#1437C23124yescomplemented
550C2×#1437C23124yescomplemented
551C2×#1437C23124yescomplemented
552C2×#1437C23124yescomplemented
553C2×#1437C23124yescomplemented
554C2×#1436C23124yescomplemented
555C2×#1436C23124yescomplemented
556C2×C4⋊#95C23124yescomplemented
557C2×#1434C23124yescomplemented
558C2×#1434C23124yescomplemented
559C2×#1434C23124yescomplemented
560C2×#1434C23124yescomplemented
561C2×#1434C23124yescomplemented
562C2×#1434C23124yescomplemented
563C2×#1434C23124yescomplemented
564C2×#1434C23124yescomplemented
565C2×C22⋊#95C23124yes—
566C2×C22⋊#95C23124yes—
567C2×C22⋊#95C23124yes—
568C2×C22⋊#95C23124yes—
569C2×C22⋊#95C23124yes—
570C2×C22⋊#95C23124yes—
571C2×C22⋊#95C23124yescomplemented
572C2×C22⋊#95C23124yescomplemented
573C2×C22⋊#95C23124yescomplemented
574C2×C22⋊#95C23124yescomplemented
575C2×C22⋊#95C23124yescomplemented
576C2×C22⋊#95C23124yescomplemented
577C2×C22⋊#95C23124yescomplemented
578C2×C22⋊#95C23124yescomplemented
579C2×C4×#95C23124yescomplemented
580C27C22×C4116yes—
581C27C22×C4116yes—
582C27C2411yescharacteristic
583C27C2411yescharacteristic
584C27C2411yescharacteristic
585C27C2411yescharacteristic
586C27C2411yescharacteristic
587C27C2411yescharacteristic
588C27C24112yes—
589C27C24112yes—
590C27C2411yescharacteristic
591C24×D4C22×C4116yes—
592C24×D4C22×C4116yes—
593C24×D4C22×C4116yes—
594C24×D4C22×C4116yes—
595C24×D4C22×C4116yes—
596C24×D4C22×C4116yes—
597C24×D4C22×C4116yes—
598C24×D4C22×C4116yes—
599C24×D4C22×C4116yes—
600C24×D4C22×C4116yes—
601C24×D4C22×C4116yescomplemented
602C24×D4C22×C41384yescomplemented
603C24×D4C22×C4116yescomplemented
604C24×D4C22×C4116yescomplemented
605C24×D4C22×C4116yescomplemented
606C24×D4C22×C4116yescomplemented
607C24×D4C2×D4116yes—
608C24×D4#41116yes—
609C24×D4C24112yes—
610C24×D4C24112yes—
611C24×D4C24112yes—
612C24×D4C24112yes—
613C24×D4C24112yes—
614C24×D4C24112yes—
615C24×D4C24112yes—
616C24×D4C24112yes—
617C24×D4C24112yes—
618C24×D4C24112yes—
619C24×D4C24112yes—
620C24×D4C24112yes—
621C24×D4C24112yes—
622C24×D4C24164yes—
623C24×D4C24112yes—
624C24×D4C24112yes—
625C25×C4C22×C4116yes—
626C25×C4C2×D4116yes—
627C25×C4C2×D4116yes—
628C25×C4C2411yescharacteristic
629C25×C4C2411yescharacteristic
630C25×C4C2411yescharacteristic
631C25×C4C2411yescharacteristic
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×C4C24112yes—
649C25×C4C24112yes—
650C25×C4C24112yes—
651C25×C4C24112yes—
652C25×C4C24112yes—
653C25×C4C24112yes—
654C25×C4C2411yescharacteristic
655C25×C4C2411yescharacteristic
656C25×C4C2411yescharacteristic
657C25×C4C2411yescharacteristic
658C25×C4C24112yes—
659C25×C4C24112yes—
660C25×C4C24112yes—
661C25×C4C24164yes—
662C25×C4C24112yes—
663C25×C4C24112yes—
664C25×C4C24112yes—
665C25×C4C24112yes—
666C22×#127C22×C41384yescomplemented
667C22×#127C22×C41384yescomplemented
668C22×#127C24164yes—
669C22×#127C24164yes—
670C22×#121C22×C41384yescomplemented
671C22×#121C24164yes—
672C22×#120C22×C41384yescomplemented
673C22×#120C22×C41384yescomplemented
674C22×#120C22×C41384yescomplemented
675C22×#120C22×C41384yescomplemented
676C22×#120C24164yes—
677C22×#120C24164yes—
678C22×#120C24164yes—
679C22×#120C24164yes—
680C22×C4×D4C24164yes—
681C22×C4×D4C24164yes—
682C22×C4×D4C24164yescomplemented
683C22×C4×D4C24164yescomplemented
684C22×C4×D4C24164yescomplemented
685C23×C4⋊C4C22×C4116yescomplemented
686C23×C4⋊C4C24112yes—
687C23×C4⋊C4C24112yes—
688C23×C4⋊C4C24112yes—
689C23×C4⋊C4C24112yes—
690C23×C4⋊C4C24112yes—
691C23×C4⋊C4C24112yes—
692C23×C4⋊C4C24112yes—
693C23×C22⋊C4C22×C4116yes—
694C23×C22⋊C4C22×C4116yes—
695C23×C22⋊C4C22×C4116yes—
696C23×C22⋊C4C22×C4116yes—
697C23×C22⋊C4C22×C4116yes—
698C23×C22⋊C4C22×C4116yes—
699C23×C22⋊C4C22×C4116yescomplemented
700C23×C22⋊C4C22×C4116yescomplemented
701C23×C22⋊C4C22×C4116yescomplemented
702C23×C22⋊C4C22×C4116yescomplemented
703C23×C22⋊C4C22×C4116yescomplemented
704C23×C22⋊C4C22×C4116yescomplemented
705C23×C22⋊C4C2×D4116yes—
706C23×C22⋊C4C2×D4116yes—
707C23×C22⋊C4C2×D4116yes—
708C23×C22⋊C4C2×D4116yes—
709C23×C22⋊C4C2×D4116yes—
710C23×C22⋊C4#41116yes—
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⋊C4C24112yes—
727C23×C22⋊C4C24112yes—
728C23×C22⋊C4C24164yes—
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⋊C4C24164yes—
755C23×C22⋊C4C24164yes—
756C23×C22⋊C4C24164yes—
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×C42C22×C4116yescomplemented
772C23×C42C22×C4116yescomplemented
773C23×C42C2×D4116yescomplemented
774C23×C42C2×D4116yescomplemented
775C23×C42C24112yes—
776C23×C42C24112yes—
777C23×C42C24112yes—
778C23×C42C24112yes—
779C23×C42C24112yes—
780C23×C42C24112yes—
781C23×C42C24112yes—
782C23×C42C24112yes—
783#2433C22×C414096yescomplemented
784C2×#392C22×C41384yescomplemented
785C2×#392C22×C41384yescomplemented
786C2×#392C22×C41384yescomplemented
787C2×#392C22×C41384yescomplemented
788C2×#392C24164yes—
789C2×#392C24164yes—
790C2×#392C24164yes—
791C2×#392C24164yes—
792C2×#390C22×C41384yescomplemented
793C2×#390C22×C41384yescomplemented
794C2×#390C24164yes—
795C2×#390C24164yes—
796C2×#390C24164yescomplemented
797C2×#390C24164yescomplemented
798C2×#390C24164yescomplemented
799C2×#390C24164yescomplemented
800C2×#390C24164yescomplemented
801C2×#388C24164yescomplemented
802C2×#388C24164yescomplemented
803C2×#386C2×D41384yescomplemented
804C2×#386C24164yes—
805C2×#386C24164yes—
806C2×#386C24164yes—
807C2×#386C24164yes—
808C2×#386C24164yes—
809C2×#386C24164yes—
810C2×#386C24164yes—
811C2×#386C24164yes—
812C2×#386C24164yes—
813C2×#386C24164yes—
814C2×#386C24164yes—
815C2×#386C24164yes—
816C2×#386C24164yes—
817C2×#386C24164yes—
818C2×#386C24164yes—
819C2×#386C24164yes—
820C2×#386C24164yes—
821C2×#386C24164yes—
822C2×#386C24164yescomplemented
823C2×#386C24164yescomplemented
824C2×#386C24164yescomplemented
825C2×#386C24164yescomplemented
826C2×#386C24164yescomplemented
827C2×#386C24164yescomplemented
828C2×#386C24164yescomplemented
829C2×#386C24164yescomplemented
830C2×#386C24164yescomplemented
831C2×#386C24164yescomplemented
832C2×#386C24164yescomplemented
833C2×#386C24164yescomplemented
834C2×#386C24164yescomplemented
835C2×#386C24164yescomplemented
836C2×#386C24164yescomplemented
837C2×#386C24164yescomplemented
838C2×#385C24164yes—
839C2×#385C24164yes—
840C2×#385C24164yescomplemented
841C2×#385C24164yescomplemented
842C2×#385C24164yescomplemented
843C2×#382C24164yescomplemented
844C2×#379C24164yes—
845C2×#379C24164yes—
846C2×#379C24164yes—
847C2×C4×C22⋊C4C22×C41384yescomplemented
848C2×C4×C22⋊C4C2×D41384yescomplemented
849C2×C4×C22⋊C4C24164yes—
850C2×C4×C22⋊C4C24164yes—
851C2×C4×C22⋊C4C24164yes—
852C2×C4×C22⋊C4C24164yescomplemented
853C2×C4×C22⋊C4C24164yescomplemented
854C2×C4×C22⋊C4C24164yescomplemented
855C2×#376C24164yescomplemented
856C22×#95C22×C4116yescomplemented
857C22×#95C22×C4116yescomplemented
858C22×#95C2×D4116yes—
859C22×#95C2×D4116yes—
860C22×#95C2×D4116yescomplemented
861C22×#95C2×D4116yescomplemented
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×#95C24164yes—
885C22×#95C24112yes—
886C22×#95C24112yes—
887C22×#95C24112yes—
888C22×#95C24112yes—
889C22×#95C24164yes—
890C22×#95C24112yes—
891C22×#95C24112yes—
892C22×#95C24112yes—
893C22×#95C24112yes—
894C22×#95C24112yes—
895C22×#95C24112yes—
896C22×#95C24112yes—
897C22×#95C24112yes—
898C22×#95C24112yes—
899C22×#95C24112yes—
900C22×#95C24112yes—
901C22×#95C24112yes—
902C22×#95C24112yes—
903C22×#95C24112yes—
904C22×#95C24112yes—
905C22×#95C24112yes—
906C22×#95C24112yes—
907C22×#95C24112yes—
908C22×#95C24112yes—
909C22×#95C24112yes—
910C22×#95C24112yes—
911C22×#95C24112yes—
912C22×#95C24112yes—
913C22×#95C24112yes—
914C22×#95C24112yes—
915C22×#95C24112yes—
916C22×#95C24112yes—
917C22×#95C24112yes—
918#1442C24164yescomplemented
919#1442C24164yescomplemented
920#1442C24164yescomplemented
921#1442C24164yescomplemented
922#1441C24164yescomplemented
923#1441C24164yescomplemented
924#1440C24164yescomplemented
925#1440C24164yescomplemented
926#1440C24164yescomplemented
927#1440C24164yescomplemented
928#1439C24164yescomplemented
929#1439C24164yescomplemented
930#1439C24164yescomplemented
931#1439C24164yescomplemented
932#1439C24164yescomplemented
933#1439C24164yescomplemented
934#1439C24164yescomplemented
935#1439C24164yescomplemented
936#1439C24164yescomplemented
937#1439C24164yescomplemented
938#1438C24164yes—
939#1438C24164yes—
940#1438C24164yes—
941#1438C24164yes—
942#1438C24164yescomplemented
943#1438C24164yescomplemented
944#1438C24164yescomplemented
945#1438C24164yescomplemented
946#1438C24164yescomplemented
947#1438C24164yescomplemented
948#1438C24164yescomplemented
949#1438C24164yescomplemented
950#1438C24164yescomplemented
951#1438C24164yescomplemented
952#1438C24164yescomplemented
953#1438C24164yescomplemented
954#1437C24164yescomplemented
955#1437C24164yescomplemented
956#1437C24164yescomplemented
957#1437C24164yescomplemented
958#1437C24164yescomplemented
959#1437C24164yescomplemented
960#1437C24164yescomplemented
961#1437C24164yescomplemented
962#1437C24164yescomplemented
963#1437C24164yescomplemented
964#1436C24164yescomplemented
965#1436C24164yescomplemented
966C4⋊#95C24164yescomplemented
967#1434C24164yescomplemented
968#1434C24164yescomplemented
969#1434C24164yescomplemented
970#1434C24164yescomplemented
971#1434C24164yescomplemented
972#1434C24164yescomplemented
973#1434C24164yescomplemented
974#1434C24164yescomplemented
975C22⋊#95C24164yes—
976C22⋊#95C24164yes—
977C22⋊#95C24164yes—
978C22⋊#95C24164yes—
979C22⋊#95C24164yes—
980C22⋊#95C24164yes—
981C22⋊#95C24164yescomplemented
982C22⋊#95C24164yescomplemented
983C22⋊#95C24164yescomplemented
984C22⋊#95C24164yescomplemented
985C22⋊#95C24164yescomplemented
986C22⋊#95C24164yescomplemented
987C22⋊#95C24164yescomplemented
988C22⋊#95C24164yescomplemented
989C4×#95C24164yescomplemented
990C26C23×C418yes—
991C26C23×C418yes—
992C26C23×C418yes—
993C26C23×C418yes—
994C26C23×C418yes—
995C26C23×C418yes—
996C26C23×C4196yes—
997C26C23×C4196yes—
998C26C23×C418yes—
999C26C22×D418yes—
1000C26C22×D418yes—
1001C26C22×D418yes—
1002C26C2×#4118yes—
1003C26C2×#4118yes—
1004C26C2×#4118yes—
1005C26H(5,𝔽2)18yes—
1006C26H(5,𝔽2)18yes—
1007C26H(5,𝔽2)18yes—
1008C26H(5,𝔽2)18yes—
1009C26H(5,𝔽2)18yes—
1010C26H(5,𝔽2)18yes—
1011C26C2516yes—
1012C26C2516yes—
1013C26C2516yes—
1014C26C2516yes—
1015C26C2516yes—
1016C26C2516yes—
1017C26C25116yes—
1018C26C25116yes—
1019C26C2516yes—
1020C26C2511yescharacteristic
1021C23×D4C4×D41256yescomplemented
1022C23×D4C23×C4196yes—
1023C23×D4C23×C4196yes—
1024C23×D4C23×C4196yes—
1025C23×D4C23×C4196yes—
1026C23×D4C23×C4196yes—
1027C23×D4C23×C4196yes—
1028C23×D4C23×C4196yes—
1029C23×D4C23×C4196yes—
1030C23×D4C23×C4196yes—
1031C23×D4C23×C4196yes—
1032C23×D4C23×C4196yescomplemented
1033C23×D4C23×C41512yescomplemented
1034C23×D4C23×C4196yescomplemented
1035C23×D4C23×C4196yescomplemented
1036C23×D4C23×C4196yescomplemented
1037C23×D4C23×C4196yescomplemented
1038C23×D4C22×D4196yes—
1039C23×D4C2×#41196yes—
1040C23×D4C25116yes—
1041C23×D4C25116yes—
1042C23×D4C25116yes—
1043C23×D4C25116yes—
1044C23×D4C25116yes—
1045C23×D4C25116yes—
1046C23×D4C25116yes—
1047C23×D4C25116yes—
1048C23×D4C25116yes—
1049C23×D4C25116yes—
1050C23×D4C25116yes—
1051C23×D4C25116yes—
1052C23×D4C25116yes—
1053C23×D4C25116yes—
1054C23×D4C25116yes—
1055C24×C4C23×C418yes—
1056C24×C4C23×C418yes—
1057C24×C4C23×C418yes—
1058C24×C4C23×C418yes—
1059C24×C4C23×C418yes—
1060C24×C4C23×C4196yes—
1061C24×C4C23×C418yes—
1062C24×C4C23×C418yes—
1063C24×C4C23×C418yes—
1064C24×C4C22×D418yes—
1065C24×C4C22×D418yes—
1066C24×C4C22×D418yes—
1067C24×C4C22×D418yes—
1068C24×C4C22×D418yes—
1069C24×C4C22×D418yes—
1070C24×C4C22×D4196yes—
1071C24×C4C22×D418yes—
1072C24×C4C22×D418yes—
1073C24×C4C22×D418yes—
1074C24×C4C22×D418yes—
1075C24×C4C22×D418yes—
1076C24×C4C22×D4196yes—
1077C24×C4C2×#4118yes—
1078C24×C4C2×#4118yes—
1079C24×C4C2×#4118yes—
1080C24×C4H(5,𝔽2)18yes—
1081C24×C4H(5,𝔽2)18yes—
1082C24×C4C2516yes—
1083C24×C4C2516yes—
1084C24×C4C2516yes—
1085C24×C4C2516yes—
1086C24×C4C2516yes—
1087C24×C4C2516yes—
1088C24×C4C2516yes—
1089C24×C4C2516yes—
1090C24×C4C2516yes—
1091C24×C4C2516yes—
1092C24×C4C2516yes—
1093C24×C4C2516yes—
1094C24×C4C2516yes—
1095C24×C4C2516yes—
1096C24×C4C2516yes—
1097C24×C4C2516yes—
1098C24×C4C2516yes—
1099C24×C4C2516yes—
1100C24×C4C2516yes—
1101C24×C4C2516yes—
1102C24×C4C25116yes—
1103C24×C4C25116yes—
1104C24×C4C25116yes—
1105C24×C4C25116yes—
1106C24×C4C25116yes—
1107C24×C4C25116yes—
1108C24×C4C2516yes—
1109C24×C4C2516yes—
1110C24×C4C2516yes—
1111C24×C4C2516yes—
1112C24×C4C25116yes—
1113C24×C4C25116yes—
1114C24×C4C25116yes—
1115C24×C4C25116yes—
1116C24×C4C25116yes—
1117C24×C4C25116yes—
1118C24×C4C25116yes—
1119C2×#127C23×C41512yescomplemented
1120C2×#127C23×C41512yescomplemented
1121C2×#121C23×C41512yescomplemented
1122C2×#120C23×C41512yescomplemented
1123C2×#120C23×C41512yescomplemented
1124C2×#120C23×C41512yescomplemented
1125C2×#120C23×C41512yescomplemented
1126C22×C4⋊C4C23×C4196yescomplemented
1127C22×C4⋊C4C25116yes—
1128C22×C4⋊C4C25116yes—
1129C22×C4⋊C4C25116yes—
1130C22×C4⋊C4C25116yes—
1131C22×C4⋊C4C25116yes—
1132C22×C4⋊C4C25116yes—
1133C22×C4⋊C4C25116yes—
1134C22×C22⋊C4C4×D41256yes—
1135C22×C22⋊C4C23×C4196yes—
1136C22×C22⋊C4C23×C4196yes—
1137C22×C22⋊C4C23×C4196yes—
1138C22×C22⋊C4C23×C4196yes—
1139C22×C22⋊C4C23×C4196yes—
1140C22×C22⋊C4C23×C4196yes—
1141C22×C22⋊C4C23×C4196yescomplemented
1142C22×C22⋊C4C23×C4196yescomplemented
1143C22×C22⋊C4C23×C4196yescomplemented
1144C22×C22⋊C4C23×C4196yescomplemented
1145C22×C22⋊C4C23×C4196yescomplemented
1146C22×C22⋊C4C23×C4196yescomplemented
1147C22×C22⋊C4C22×D4196yes—
1148C22×C22⋊C4C22×D4196yes—
1149C22×C22⋊C4C22×D4196yes—
1150C22×C22⋊C4C22×D4196yes—
1151C22×C22⋊C4C22×D4196yes—
1152C22×C22⋊C4C2×#41196yes—
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×C22⋊C4C25116yes—
1181C22×C22⋊C4C25116yes—
1182C22×C22⋊C4C25116yes—
1183C22×C22⋊C4C25116yes—
1184C22×C22⋊C4C25116yes—
1185C22×C22⋊C4C25116yes—
1186C22×C22⋊C4C25116yes—
1187C22×C22⋊C4C25116yes—
1188C22×C22⋊C4C25116yes—
1189C22×C22⋊C4C25116yes—
1190C22×C22⋊C4C25116yes—
1191C22×C22⋊C4C25116yes—
1192C22×C22⋊C4C25116yes—
1193C22×C22⋊C4C25116yes—
1194C22×C22⋊C4C25116yes—
1195C22×C22⋊C4C25116yes—
1196C22×C22⋊C4C25116yes—
1197C22×C22⋊C4C25116yes—
1198C22×C22⋊C4C25116yes—
1199C22×C22⋊C4C25116yes—
1200C22×C22⋊C4C25116yes—
1201C22×C22⋊C4C25116yes—
1202C22×C22⋊C4C25116yes—
1203C22×C22⋊C4C25116yes—
1204C22×C22⋊C4C25116yes—
1205C22×C22⋊C4C25116yes—
1206C22×C22⋊C4C25116yes—
1207C22×C22⋊C4C25116yes—
1208C22×C22⋊C4C25116yes—
1209C22×C42C23×C4196yescomplemented
1210C22×C42C23×C4196yescomplemented
1211C22×C42C22×D4196yescomplemented
1212C22×C42C22×D4196yescomplemented
1213C22×C42C25116yes—
1214C22×C42C25116yes—
1215C22×C42C25116yes—
1216C22×C42C25116yes—
1217C22×C42C25116yes—
1218C22×C42C25116yes—
1219C22×C42C25116yes—
1220C22×C42C25116yes—
1221#392C23×C41512yescomplemented
1222#392C23×C41512yescomplemented
1223#392C23×C41512yescomplemented
1224#392C23×C41512yescomplemented
1225#390C23×C41512yescomplemented
1226#390C23×C41512yescomplemented
1227#386C22×D41512yescomplemented
1228C4×C22⋊C4C23×C41512yescomplemented
1229C4×C22⋊C4C22×D41512yescomplemented
1230C2×#95C23×C4196yescomplemented
1231C2×#95C23×C4196yescomplemented
1232C2×#95C22×D4196yes—
1233C2×#95C22×D4196yes—
1234C2×#95C22×D4196yescomplemented
1235C2×#95C22×D4196yescomplemented
1236C2×#95C25116yes—
1237C2×#95C25116yes—
1238C2×#95C25116yes—
1239C2×#95C25116yes—
1240C2×#95C25116yes—
1241C2×#95C25116yes—
1242C2×#95C25116yes—
1243C2×#95C25116yes—
1244C2×#95C25116yes—
1245C2×#95C25116yes—
1246C2×#95C25116yes—
1247C2×#95C25116yes—
1248C2×#95C25116yes—
1249C2×#95C25116yes—
1250C2×#95C25116yes—
1251C2×#95C25116yes—
1252C2×#95C25116yes—
1253C2×#95C25116yes—
1254C2×#95C25116yes—
1255C2×#95C25116yes—
1256C2×#95C25116yes—
1257C2×#95C25116yes—
1258C2×#95C25116yes—
1259C2×#95C25116yes—
1260C2×#95C25116yes—
1261C2×#95C25116yes—
1262C2×#95C25116yes—
1263C2×#95C25116yes—
1264C2×#95C25116yes—
1265C2×#95C25116yes—
1266C2×#95C25116yes—
1267C2×#95C25116yes—
1268C2×#95C25116yes—
1269C2×#95C25116yes—
1270C2×#95C25116yes—
1271C2×#95C25116yes—
1272C2×#95C25116yes—
1273C2×#95C25116yes—
1274C2×#95C25116yes—
1275C2×#95C25116yes—
1276C2×#95C25116yes—
1277C2×#95C25116yes—
1278C2×#95C25116yes—
1279C2×#95C25116yes—
1280C2×#95C25116yes—
1281C2×#95C25116yes—
1282C2×#95C25116yes—
1283C2×#95C25116yes—
1284C2×#95C25116yes—
1285C2×#95C25116yes—
1286C2×#95C25116yes—
1287C2×#95C25116yes—
1288C2×#95C25116yes—
1289C2×#95C25116yes—
1290C25C2×C4×D4164yes—
1291C25C2×C4×D4164yes—
1292C25C2×C4×D4164yes—
1293C25#518164yes—
1294C25#518164yes—
1295C25#518164yes—
1296C25#535164yes—
1297C25#535164yes—
1298C25#540164yes—
1299C25#540164yes—
1300C25C24×C4124yes—
1301C25C24×C4124yes—
1302C25C24×C4124yes—
1303C25C24×C4124yes—
1304C25C24×C4124yes—
1305C25C24×C4124yes—
1306C25C24×C4164yes—
1307C25C24×C4164yes—
1308C25C24×C4124yes—
1309C25C24×C414yes—
1310C25C23×D4124yes—
1311C25C23×D4124yes—
1312C25C23×D4124yes—
1313C25C23×D414yes—
1314C25C23×D414yes—
1315C25C22×#41124yes—
1316C25C22×#41124yes—
1317C25C22×#41124yes—
1318C25C22×#4114yes—
1319C25C22×#4114yes—
1320C25C2×H(5,𝔽2)124yes—
1321C25C2×H(5,𝔽2)124yes—
1322C25C2×H(5,𝔽2)124yes—
1323C25C2×H(5,𝔽2)124yes—
1324C25C2×H(5,𝔽2)124yes—
1325C25C2×H(5,𝔽2)124yes—
1326C25C2×H(5,𝔽2)14yes—
1327C25C2×H(5,𝔽2)14yes—
1328C25C2×H(5,𝔽2)14yes—
1329C25C2×H(5,𝔽2)14yes—
1330C25C2×H(5,𝔽2)14yes—
1331C25C2×H(5,𝔽2)14yes—
1332C25C2×H(5,𝔽2)14yes—
1333C25C2×H(5,𝔽2)14yes—
1334C25#58514yes—
1335C25#58514yes—
1336C25C2614yes—
1337C25C2614yes—
1338C25C2614yes—
1339C25C2614yes—
1340C25C2614yes—
1341C25C2614yes—
1342C25C2614yes—
1343C25C2613yes—
1344C22×D4C2×C4×D41768yescomplemented
1345C22×D4C24×C4164yes—
1346C22×D4C24×C4164yes—
1347C22×D4C24×C4164yes—
1348C22×D4C24×C4164yes—
1349C22×D4C24×C4164yes—
1350C22×D4C24×C4164yes—
1351C22×D4C24×C4164yes—
1352C22×D4C24×C4164yes—
1353C22×D4C24×C4164yes—
1354C22×D4C24×C4164yes—
1355C22×D4C24×C4164yescomplemented
1356C22×D4C24×C4164yescomplemented
1357C22×D4C24×C4164yescomplemented
1358C22×D4C24×C4164yescomplemented
1359C22×D4C24×C4164yescomplemented
1360C22×D4C23×D4164yes—
1361C22×D4C22×#41164yes—
1362C23×C4C2×C4×D4164yes—
1363C23×C4C2×C4×D4164yes—
1364C23×C4C2×C4×D4164yes—
1365C23×C4D42164yes—
1366C23×C4C24×C4124yes—
1367C23×C4C24×C4124yes—
1368C23×C4C24×C4124yes—
1369C23×C4C24×C4124yes—
1370C23×C4C24×C4124yes—
1371C23×C4C24×C4164yes—
1372C23×C4C24×C4124yes—
1373C23×C4C24×C4124yes—
1374C23×C4C24×C4124yes—
1375C23×C4C23×D4124yes—
1376C23×C4C23×D4124yes—
1377C23×C4C23×D4124yes—
1378C23×C4C23×D4124yes—
1379C23×C4C23×D4124yes—
1380C23×C4C23×D4124yes—
1381C23×C4C23×D4164yes—
1382C23×C4C23×D4124yes—
1383C23×C4C23×D4124yes—
1384C23×C4C23×D4124yes—
1385C23×C4C23×D4124yes—
1386C23×C4C23×D4124yes—
1387C23×C4C23×D4164yes—
1388C23×C4C22×#41124yes—
1389C23×C4C22×#41124yes—
1390C23×C4C22×#41124yes—
1391C23×C4C2×H(5,𝔽2)124yes—
1392C23×C4C2×H(5,𝔽2)124yes—
1393C23×C4C2614yes—
1394C23×C4C2614yes—
1395C23×C4C2614yes—
1396C23×C4C2614yes—
1397C23×C4C2614yes—
1398C23×C4C2614yes—
1399C23×C4C2614yes—
1400C23×C4C2614yes—
1401C23×C4C2614yes—
1402C23×C4C2614yes—
1403C23×C4C2614yes—
1404C23×C4C2614yes—
1405C23×C4C2614yes—
1406C23×C4C2614yes—
1407C23×C4C2614yes—
1408C23×C4C2614yes—
1409C23×C4C2614yes—
1410C23×C4C2614yes—
1411C23×C4C2614yes—
1412C23×C4C2614yes—
1413C23×C4C2614yes—
1414C23×C4C2614yes—
1415C23×C4C2614yes—
1416C23×C4C2614yes—
1417C2×C4⋊C4C24×C4164yescomplemented
1418C2×C22⋊C4C2×C4×D41768yes—
1419C2×C22⋊C4C24×C4164yes—
1420C2×C22⋊C4C24×C4164yes—
1421C2×C22⋊C4C24×C4164yes—
1422C2×C22⋊C4C24×C4164yes—
1423C2×C22⋊C4C24×C4164yes—
1424C2×C22⋊C4C24×C4164yes—
1425C2×C22⋊C4C24×C4164yescomplemented
1426C2×C22⋊C4C24×C4164yescomplemented
1427C2×C22⋊C4C24×C4164yescomplemented
1428C2×C22⋊C4C24×C4164yescomplemented
1429C2×C22⋊C4C24×C4164yescomplemented
1430C2×C22⋊C4C24×C4164yescomplemented
1431C2×C22⋊C4C23×D4164yes—
1432C2×C22⋊C4C23×D4164yes—
1433C2×C22⋊C4C23×D4164yes—
1434C2×C22⋊C4C23×D4164yes—
1435C2×C22⋊C4C23×D4164yes—
1436C2×C22⋊C4C22×#41164yes—
1437C2×C42C24×C4164yescomplemented
1438C2×C42C24×C4164yescomplemented
1439C2×C42C23×D4164yescomplemented
1440C2×C42C23×D4164yescomplemented
1441#95C24×C4164yescomplemented
1442#95C24×C4164yescomplemented
1443#95C23×D4164yes—
1444#95C23×D4164yes—
1445#95C23×D4164yescomplemented
1446#95C23×D4164yescomplemented
1447C24#23281512yescomplemented
1448C24C22×C4×D4196yes—
1449C24C22×C4×D4196yes—
1450C24C22×C4×D4196yes—
1451C24C22×C4×D4116yes—
1452C24C22×C4×D4116yes—
1453C24C2×#518196yes—
1454C24C2×#518196yes—
1455C24C2×#518196yes—
1456C24C2×#518116yes—
1457C24C2×#518116yes—
1458C24C2×#518116yes—
1459C24C4×H(5,𝔽2)116yes—
1460C24C4×H(5,𝔽2)116yes—
1461C24C2×#535196yes—
1462C24C2×#535196yes—
1463C24C2×#535116yes—
1464C24C2×#535116yes—
1465C24C2×#540196yes—
1466C24C2×#540196yes—
1467C24C2×#540116yes—
1468C24C2×#540116yes—
1469C24C2×D42116yes—
1470C24D4×#41116yes—
1471C24D4×#41116yes—
1472C24#3481116yes—
1473C24#3484116yes—
1474C24#3484116yes—
1475C24#3484116yes—
1476C24#3484116yes—
1477C24#3488116yes—
1478C24#3488116yes—
1479C24#3490116yes—
1480C24#3490116yes—
1481C24#3513116yes—
1482C24#3513116yes—
1483C24#3519116yes—
1484C24#3519116yes—
1485C24#3532116yes—
1486C24#3532116yes—
1487C24#3533116yes—
1488C24#3534116yes—
1489C24#3534116yes—
1490C24#3537116yes—
1491C24#3542116yes—
1492C24#3542116yes—
1493C24C25×C418yes—
1494C24C25×C418yes—
1495C24C25×C418yes—
1496C24C25×C418yes—
1497C24C25×C418yes—
1498C24C25×C418yes—
1499C24C25×C418yes—
1500C24C25×C416yes—
1501C24C24×D418yes—
1502C24C24×D418yes—
1503C24C24×D418yes—
1504C24C24×D416yes—
1505C24C24×D416yes—
1506C24C23×#4118yes—
1507C24C23×#4118yes—
1508C24C23×#4118yes—
1509C24C23×#4116yes—
1510C24C23×#4116yes—
1511C24C22×H(5,𝔽2)18yes—
1512C24C22×H(5,𝔽2)18yes—
1513C24C22×H(5,𝔽2)18yes—
1514C24C22×H(5,𝔽2)18yes—
1515C24C22×H(5,𝔽2)18yes—
1516C24C22×H(5,𝔽2)18yes—
1517C24C22×H(5,𝔽2)16yes—
1518C24C22×H(5,𝔽2)16yes—
1519C24C22×H(5,𝔽2)16yes—
1520C24C22×H(5,𝔽2)16yes—
1521C24C22×H(5,𝔽2)16yes—
1522C24C22×H(5,𝔽2)16yes—
1523C24C22×H(5,𝔽2)16yes—
1524C24C22×H(5,𝔽2)16yes—
1525C24C2×#58516yes—
1526C24C2×#58516yes—
1527C24C2711yescharacteristic
1528C2×D4C22×C4×D41256yescomplemented
1529C22×C4C22×C4×D4196yes—
1530C22×C4C22×C4×D4196yes—
1531C22×C4C22×C4×D4196yes—
1532C22×C4C2×D42196yes—
1533C22×C4C25×C418yes—
1534C22×C4C25×C418yes—
1535C22×C4C25×C418yes—
1536C22×C4C25×C418yes—
1537C22×C4C25×C418yes—
1538C22×C4C25×C418yes—
1539C22×C4C25×C418yes—
1540C22×C4C25×C418yes—
1541C22×C4C24×D418yes—
1542C22×C4C24×D418yes—
1543C22×C4C24×D418yes—
1544C22×C4C24×D418yes—
1545C22×C4C24×D418yes—
1546C22×C4C24×D418yes—
1547C22×C4C24×D418yes—
1548C22×C4C24×D418yes—
1549C22×C4C24×D418yes—
1550C22×C4C24×D418yes—
1551C22×C4C24×D418yes—
1552C22×C4C23×#4118yes—
1553C22×C4C23×#4118yes—
1554C22×C4C23×#4118yes—
1555C22×C4C22×H(5,𝔽2)18yes—
1556C22×C4C22×H(5,𝔽2)18yes—
1557C22⋊C4C22×C4×D41256yes—
1558C23C2×#2328164yes—
1559C23C2×#23281384yescomplemented
1560C23C4×D42164yes—
1561C23#34198164yes—
1562C23#34290164yes—
1563C23#34290164yes—
1564C23#34406164yes—
1565C23#34468164yes—
1566C23#37645164yes—
1567C23#37650164yes—
1568C23#37714164yes—
1569C23#37722164yes—
1570C23#38358164yes—
1571C23#38366164yes—
1572C23#38502164yes—
1573C23#38510164yes—
1574C23C23×C4×D4116yes—
1575C23C23×C4×D4116yes—
1576C23C23×C4×D4116yes—
1577C23C23×C4×D4112yes—
1578C23C23×C4×D4112yes—
1579C23C22×#518116yes—
1580C23C22×#518116yes—
1581C23C22×#518116yes—
1582C23C22×#518112yes—
1583C23C22×#518112yes—
1584C23C22×#518112yes—
1585C23C2×C4×H(5,𝔽2)112yes—
1586C23C2×C4×H(5,𝔽2)112yes—
1587C23C22×#535116yes—
1588C23C22×#535116yes—
1589C23C22×#535112yes—
1590C23C22×#535112yes—
1591C23C22×#540116yes—
1592C23C22×#540116yes—
1593C23C22×#540112yes—
1594C23C22×#540112yes—
1595C23C22×D42112yes—
1596C23C2×D4×#41112yes—
1597C23C2×D4×#41112yes—
1598C23C2×#3481112yes—
1599C23C2×#3532112yes—
1600C23C2×#3532112yes—
1601C23C2×#3542112yes—
1602C23C2×#3542112yes—
1603C23C2×#3534112yes—
1604C23C2×#3534112yes—
1605C23C2×#3537112yes—
1606C23C2×#3533112yes—
1607C23C2×#3484112yes—
1608C23C2×#3484112yes—
1609C23C2×#3484112yes—
1610C23C2×#3484112yes—
1611C23C2×#3490112yes—
1612C23C2×#3490112yes—
1613C23C2×#3513112yes—
1614C23C2×#3513112yes—
1615C23C2×#3519112yes—
1616C23C2×#3519112yes—
1617C23C2×#3488112yes—
1618C23C2×#3488112yes—
1619C23C26×C411yescharacteristic
1620C23C25×D411yescharacteristic
1621C23C25×D411yescharacteristic
1622C23C24×#4111yescharacteristic
1623C23C24×#4111yescharacteristic
1624C23C23×H(5,𝔽2)11yescharacteristic
1625C23C23×H(5,𝔽2)11yescharacteristic
1626C23C23×H(5,𝔽2)11yescharacteristic
1627C23C23×H(5,𝔽2)11yescharacteristic
1628C23C23×H(5,𝔽2)11yescharacteristic
1629C23C23×H(5,𝔽2)11yescharacteristic
1630C23C23×H(5,𝔽2)11yescharacteristic
1631C23C23×H(5,𝔽2)11yescharacteristic
1632C23C22×#58511yescharacteristic
1633C23C22×#58511yescharacteristic
1634C2×C4C23×C4×D4116yes—
1635C2×C4C23×C4×D4116yes—
1636C2×C4C23×C4×D4116yes—
1637C2×C4C22×D42116yes—
1638C22#5258561256yesdirect product factor
1639C22C22×#2328124yes—
1640C22C22×#2328132yescomplemented
1641C22C2×C4×D42124yes—
1642C22C2×#34198124yes—
1643C22C2×#34290124yes—
1644C22C2×#34290124yes—
1645C22C2×#34406124yes—
1646C22C2×#34468124yes—
1647C22C2×#37645124yes—
1648C22C2×#37714124yes—
1649C22C2×#37722124yes—
1650C22C2×#37650124yes—
1651C22C2×#38358124yes—
1652C22C2×#38502124yes—
1653C22C2×#38366124yes—
1654C22C2×#38510124yes—
1655C22C24×C4×D411yescharacteristic
1656C22C24×C4×D411yescharacteristic
1657C22C23×#51811yescharacteristic
1658C22C23×#51811yescharacteristic
1659C22C23×#51811yescharacteristic
1660C22C22×C4×H(5,𝔽2)11yescharacteristic
1661C22C22×C4×H(5,𝔽2)11yescharacteristic
1662C22C23×#53511yescharacteristic
1663C22C23×#53511yescharacteristic
1664C22C23×#54011yescharacteristic
1665C22C23×#54011yescharacteristic
1666C22C23×D4211yescharacteristic
1667C22C22×D4×#4111yescharacteristic
1668C22C22×D4×#4111yescharacteristic
1669C22C22×#348111yescharacteristic
1670C22C22×#348411yescharacteristic
1671C22C22×#348411yescharacteristic
1672C22C22×#348411yescharacteristic
1673C22C22×#348411yescharacteristic
1674C22C22×#349011yescharacteristic
1675C22C22×#349011yescharacteristic
1676C22C22×#351311yescharacteristic
1677C22C22×#351311yescharacteristic
1678C22C22×#351911yescharacteristic
1679C22C22×#351911yescharacteristic
1680C22C22×#348811yescharacteristic
1681C22C22×#348811yescharacteristic
1682C22C22×#353211yescharacteristic
1683C22C22×#353211yescharacteristic
1684C22C22×#354211yescharacteristic
1685C22C22×#354211yescharacteristic
1686C22C22×#353411yescharacteristic
1687C22C22×#353411yescharacteristic
1688C22C22×#353711yescharacteristic
1689C22C22×#353311yescharacteristic
1690C2C22×#3446811yescharacteristic
1691C2C22×#3836611yescharacteristic
1692C2C22×#3440611yescharacteristic
1693C2C22×#3765011yescharacteristic
1694C2C22×#3429011yescharacteristic
1695C2C22×#3429011yescharacteristic
1696C2C23×#232811yescharacteristic
1697C2C22×C4×D4211yescharacteristic
1698C2C22×#3764511yescharacteristic
1699C2C22×#3419811yescharacteristic
1700C2C22×#3835811yescharacteristic
1701C2C22×#3772211yescharacteristic
1702C2C2×#525856148yesdirect product factor
1703C2C22×#3771411yescharacteristic
1704C2C22×#3851011yescharacteristic
1705C2C22×#3850211yescharacteristic
subgroupG/H
center, socleC26C25
commutatorC23C26×C4
Frattini, cosocleC24C27
prime radicalC23×#2433C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#13791C2semidirect
2. C22×#14377C2semidirect
3. C22×#14438C2semidirect
4. C2×#525856C2direct (N × H)
5. C22×#14311C2semidirect
6. C22×#13896C2semidirect
7. C22×#13809C2semidirect
8. C22×#14082C2semidirect
9. C22×#14520C2semidirect
10. C22×#14299C2semidirect
11. C22×#14519C2semidirect
12. C22×#14519C2semidirect
13. C22×#14519C2semidirect
14. C22×#14025C2semidirect
15. C22×#14175C2semidirect
16. C22×#14175C2semidirect
17. C22×#14419C2semidirect
18. C22×#14419C2semidirect
19. C22×#14023C2semidirect
20. C22×#14023C2semidirect
21. C24×#386C2semidirect
22. C23×#2358C2semidirect
23. C22×#14134C2semidirect
24. C22×#13995C2semidirect
25. C22×#13995C2semidirect
27. C23×C4×#120C2semidirect
28. C22×#13967C2semidirect
29. C22×#13967C2semidirect
30. C22×#14694C2semidirect
31. C22×#13867C2semidirect
32. C23×#2328C2semidirect
44. C24×C4×D4C22semidirect
45. C24×C4×D4C22semidirect
46. C24×C4×D4C22semidirect
51. C22×#2433C4semidirect
57. C22×#2358C22semidirect
58. C22×#2328C22semidirect
59. C22×C4×#120C22semidirect
62. C23×#390C22semidirect
63. C23×#390C22semidirect
64. C23×#390C22semidirect
65. C23×#390C22semidirect
66. C23×#390C22semidirect
67. C23×#388C22semidirect
68. C23×#388C22semidirect
87. C23×#386C22semidirect
88. C23×#386C22semidirect
89. C23×#386C22semidirect
90. C23×#386C22semidirect
91. C23×#386C22semidirect
92. C23×#386C22semidirect
93. C23×#386C22semidirect
94. C23×#386C22semidirect
95. C23×#386C22semidirect
96. C23×#386C22semidirect
97. C23×#386C22semidirect
98. C23×#386C22semidirect
99. C23×#386C22semidirect
100. C23×#386C22semidirect
101. C23×#386C22semidirect
102. C23×#386C22semidirect
103. C23×#386C22semidirect
106. C23×#385C22semidirect
107. C23×#385C22semidirect
108. C23×#385C22semidirect
109. C23×#382C22semidirect
116. C23×C4×C22⋊C4C22semidirect
117. C23×C4×C22⋊C4C22semidirect
118. C23×C4×C22⋊C4C22semidirect
119. C23×#376C22semidirect
122. C2×#14694C22semidirect
123. #525856C22direct (N × H)
124. C2×#14520C22semidirect
125. C2×#14519C22semidirect
126. C2×#14519C22semidirect
127. C2×#14519C22semidirect
128. C2×#14438C22semidirect
129. C2×#14419C22semidirect
130. C2×#14419C22semidirect
131. C2×#14377C22semidirect
132. C2×#14311C22semidirect
133. C2×#14299C22semidirect
134. C2×#14175C22semidirect
135. C2×#14175C22semidirect
136. C2×#14134C22semidirect
137. C2×#14082C22semidirect
138. C2×#14025C22semidirect
139. C2×#14023C22semidirect
140. C2×#14023C22semidirect
141. C2×#13995C22semidirect
142. C2×#13995C22semidirect
143. C2×#13967C22semidirect
144. C2×#13967C22semidirect
145. C2×#13896C22semidirect
146. C2×#13867C22semidirect
147. C22×#1442C22semidirect
148. C22×#1442C22semidirect
149. C22×#1442C22semidirect
150. C22×#1442C22semidirect
151. C22×#1441C22semidirect
152. C22×#1441C22semidirect
153. C22×#1440C22semidirect
154. C22×#1440C22semidirect
155. C22×#1440C22semidirect
156. C22×#1440C22semidirect
157. C22×#1439C22semidirect
158. C22×#1439C22semidirect
159. C22×#1439C22semidirect
160. C22×#1439C22semidirect
161. C22×#1439C22semidirect
162. C22×#1439C22semidirect
163. C22×#1439C22semidirect
164. C22×#1439C22semidirect
165. C22×#1439C22semidirect
166. C22×#1439C22semidirect
171. C22×#1438C22semidirect
172. C22×#1438C22semidirect
173. C22×#1438C22semidirect
174. C22×#1438C22semidirect
175. C22×#1438C22semidirect
176. C22×#1438C22semidirect
177. C22×#1438C22semidirect
178. C22×#1438C22semidirect
179. C22×#1438C22semidirect
180. C22×#1438C22semidirect
181. C22×#1438C22semidirect
182. C22×#1438C22semidirect
183. C2×#13809C22semidirect
184. C2×#13791C22semidirect
185. C22×#1437C22semidirect
186. C22×#1437C22semidirect
187. C22×#1437C22semidirect
188. C22×#1437C22semidirect
189. C22×#1437C22semidirect
190. C22×#1437C22semidirect
191. C22×#1437C22semidirect
192. C22×#1437C22semidirect
193. C22×#1437C22semidirect
194. C22×#1437C22semidirect
195. C22×#1436C22semidirect
196. C22×#1436C22semidirect
197. C22×C4⋊#95C22semidirect
198. C22×#1434C22semidirect
199. C22×#1434C22semidirect
200. C22×#1434C22semidirect
201. C22×#1434C22semidirect
202. C22×#1434C22semidirect
203. C22×#1434C22semidirect
204. C22×#1434C22semidirect
205. C22×#1434C22semidirect
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
220. C22×C4×#95C22semidirect
223. C25×D4C2×C4semidirect
254. C23×#127C2×C4semidirect
255. C23×#127C2×C4semidirect
258. C23×#121C2×C4semidirect
260. C23×#120C2×C4semidirect
261. C23×#120C2×C4semidirect
262. C23×#120C2×C4semidirect
263. C23×#120C2×C4semidirect
270. C23×C4×D4C23semidirect
271. C23×C4×D4C23semidirect
272. C23×C4×D4C23semidirect
348. C2×#2433C2×C4semidirect
350. C22×#392C2×C4semidirect
351. C22×#392C2×C4semidirect
352. C22×#392C2×C4semidirect
353. C22×#392C2×C4semidirect
358. C2×#2358C23semidirect
359. C2×#2328C23semidirect
360. C2×C4×#120C23semidirect
361. C22×#390C2×C4semidirect
362. C22×#390C2×C4semidirect
365. C22×#390C23semidirect
366. C22×#390C23semidirect
367. C22×#390C23semidirect
368. C22×#390C23semidirect
369. C22×#390C23semidirect
370. C22×#388C23semidirect
371. C22×#388C23semidirect
372. C22×#386D4semidirect
391. C22×#386C23semidirect
392. C22×#386C23semidirect
393. C22×#386C23semidirect
394. C22×#386C23semidirect
395. C22×#386C23semidirect
396. C22×#386C23semidirect
397. C22×#386C23semidirect
398. C22×#386C23semidirect
399. C22×#386C23semidirect
400. C22×#386C23semidirect
401. C22×#386C23semidirect
402. C22×#386C23semidirect
403. C22×#386C23semidirect
404. C22×#386C23semidirect
405. C22×#386C23semidirect
406. C22×#386C23semidirect
407. C22×#386C23semidirect
410. C22×#385C23semidirect
411. C22×#385C23semidirect
412. C22×#385C23semidirect
413. C22×#382C23semidirect
417. C22×C4×C22⋊C4C2×C4semidirect
418. C22×C4×C22⋊C4D4semidirect
422. C22×C4×C22⋊C4C23semidirect
423. C22×C4×C22⋊C4C23semidirect
424. C22×C4×C22⋊C4C23semidirect
425. C22×#376C23semidirect
482. #14694C23semidirect
483. #14520C23semidirect
484. #14519C23semidirect
485. #14519C23semidirect
486. #14519C23semidirect
487. #14438C23semidirect
488. #14419C23semidirect
489. #14419C23semidirect
490. #14377C23semidirect
491. #14311C23semidirect
492. #14299C23semidirect
493. #14175C23semidirect
494. #14175C23semidirect
495. #14134C23semidirect
496. #14082C23semidirect
497. #14025C23semidirect
498. #14023C23semidirect
499. #14023C23semidirect
500. #13995C23semidirect
501. #13995C23semidirect
502. #13967C23semidirect
503. #13967C23semidirect
504. #13896C23semidirect
505. #13867C23semidirect
506. C2×#1442C23semidirect
507. C2×#1442C23semidirect
508. C2×#1442C23semidirect
509. C2×#1442C23semidirect
510. C2×#1441C23semidirect
511. C2×#1441C23semidirect
512. C2×#1440C23semidirect
513. C2×#1440C23semidirect
514. C2×#1440C23semidirect
515. C2×#1440C23semidirect
516. C2×#1439C23semidirect
517. C2×#1439C23semidirect
518. C2×#1439C23semidirect
519. C2×#1439C23semidirect
520. C2×#1439C23semidirect
521. C2×#1439C23semidirect
522. C2×#1439C23semidirect
523. C2×#1439C23semidirect
524. C2×#1439C23semidirect
525. C2×#1439C23semidirect
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. #13809C23semidirect
543. #13791C23semidirect
544. C2×#1437C23semidirect
545. C2×#1437C23semidirect
546. C2×#1437C23semidirect
547. C2×#1437C23semidirect
548. C2×#1437C23semidirect
549. C2×#1437C23semidirect
550. C2×#1437C23semidirect
551. C2×#1437C23semidirect
552. C2×#1437C23semidirect
553. C2×#1437C23semidirect
554. C2×#1436C23semidirect
555. C2×#1436C23semidirect
556. C2×C4⋊#95C23semidirect
557. C2×#1434C23semidirect
558. C2×#1434C23semidirect
559. C2×#1434C23semidirect
560. C2×#1434C23semidirect
561. C2×#1434C23semidirect
562. C2×#1434C23semidirect
563. C2×#1434C23semidirect
564. C2×#1434C23semidirect
571. C2×C22⋊#95C23semidirect
572. C2×C22⋊#95C23semidirect
573. C2×C22⋊#95C23semidirect
574. C2×C22⋊#95C23semidirect
575. C2×C22⋊#95C23semidirect
576. C2×C22⋊#95C23semidirect
577. C2×C22⋊#95C23semidirect
578. C2×C22⋊#95C23semidirect
579. C2×C4×#95C23semidirect
601. C24×D4C22×C4semidirect
602. C24×D4C22×C4semidirect
603. C24×D4C22×C4semidirect
604. C24×D4C22×C4semidirect
605. C24×D4C22×C4semidirect
606. C24×D4C22×C4semidirect
666. C22×#127C22×C4semidirect
667. C22×#127C22×C4semidirect
670. C22×#121C22×C4semidirect
672. C22×#120C22×C4semidirect
673. C22×#120C22×C4semidirect
674. C22×#120C22×C4semidirect
675. C22×#120C22×C4semidirect
682. C22×C4×D4C24semidirect
683. C22×C4×D4C24semidirect
684. C22×C4×D4C24semidirect
685. C23×C4⋊C4C22×C4semidirect
699. C23×C22⋊C4C22×C4semidirect
700. C23×C22⋊C4C22×C4semidirect
701. C23×C22⋊C4C22×C4semidirect
702. C23×C22⋊C4C22×C4semidirect
703. C23×C22⋊C4C22×C4semidirect
704. C23×C22⋊C4C22×C4semidirect
771. C23×C42C22×C4semidirect
772. C23×C42C22×C4semidirect
773. C23×C42C2×D4semidirect
774. C23×C42C2×D4semidirect
783. #2433C22×C4semidirect
784. C2×#392C22×C4semidirect
785. C2×#392C22×C4semidirect
786. C2×#392C22×C4semidirect
787. C2×#392C22×C4semidirect
792. C2×#390C22×C4semidirect
793. C2×#390C22×C4semidirect
796. C2×#390C24semidirect
797. C2×#390C24semidirect
798. C2×#390C24semidirect
799. C2×#390C24semidirect
800. C2×#390C24semidirect
801. C2×#388C24semidirect
802. C2×#388C24semidirect
803. C2×#386C2×D4semidirect
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×#386C24semidirect
831. C2×#386C24semidirect
832. C2×#386C24semidirect
833. C2×#386C24semidirect
834. C2×#386C24semidirect
835. C2×#386C24semidirect
836. C2×#386C24semidirect
837. C2×#386C24semidirect
840. C2×#385C24semidirect
841. C2×#385C24semidirect
842. C2×#385C24semidirect
843. C2×#382C24semidirect
847. C2×C4×C22⋊C4C22×C4semidirect
848. C2×C4×C22⋊C4C2×D4semidirect
852. C2×C4×C22⋊C4C24semidirect
853. C2×C4×C22⋊C4C24semidirect
854. C2×C4×C22⋊C4C24semidirect
855. C2×#376C24semidirect
856. C22×#95C22×C4semidirect
857. C22×#95C22×C4semidirect
860. C22×#95C2×D4semidirect
861. C22×#95C2×D4semidirect
918. #1442C24semidirect
919. #1442C24semidirect
920. #1442C24semidirect
921. #1442C24semidirect
922. #1441C24semidirect
923. #1441C24semidirect
924. #1440C24semidirect
925. #1440C24semidirect
926. #1440C24semidirect
927. #1440C24semidirect
928. #1439C24semidirect
929. #1439C24semidirect
930. #1439C24semidirect
931. #1439C24semidirect
932. #1439C24semidirect
933. #1439C24semidirect
934. #1439C24semidirect
935. #1439C24semidirect
936. #1439C24semidirect
937. #1439C24semidirect
942. #1438C24semidirect
943. #1438C24semidirect
944. #1438C24semidirect
945. #1438C24semidirect
946. #1438C24semidirect
947. #1438C24semidirect
948. #1438C24semidirect
949. #1438C24semidirect
950. #1438C24semidirect
951. #1438C24semidirect
952. #1438C24semidirect
953. #1438C24semidirect
954. #1437C24semidirect
955. #1437C24semidirect
956. #1437C24semidirect
957. #1437C24semidirect
958. #1437C24semidirect
959. #1437C24semidirect
960. #1437C24semidirect
961. #1437C24semidirect
962. #1437C24semidirect
963. #1437C24semidirect
964. #1436C24semidirect
965. #1436C24semidirect
966. C4⋊#95C24semidirect
967. #1434C24semidirect
968. #1434C24semidirect
969. #1434C24semidirect
970. #1434C24semidirect
971. #1434C24semidirect
972. #1434C24semidirect
973. #1434C24semidirect
974. #1434C24semidirect
981. C22⋊#95C24semidirect
982. C22⋊#95C24semidirect
983. C22⋊#95C24semidirect
984. C22⋊#95C24semidirect
985. C22⋊#95C24semidirect
986. C22⋊#95C24semidirect
987. C22⋊#95C24semidirect
988. C22⋊#95C24semidirect
989. C4×#95C24semidirect
1021. C23×D4C4×D4semidirect
1032. C23×D4C23×C4semidirect
1033. C23×D4C23×C4semidirect
1034. C23×D4C23×C4semidirect
1035. C23×D4C23×C4semidirect
1036. C23×D4C23×C4semidirect
1037. C23×D4C23×C4semidirect
1119. C2×#127C23×C4semidirect
1120. C2×#127C23×C4semidirect
1121. C2×#121C23×C4semidirect
1122. C2×#120C23×C4semidirect
1123. C2×#120C23×C4semidirect
1124. C2×#120C23×C4semidirect
1125. C2×#120C23×C4semidirect
1126. C22×C4⋊C4C23×C4semidirect
1141. C22×C22⋊C4C23×C4semidirect
1142. C22×C22⋊C4C23×C4semidirect
1143. C22×C22⋊C4C23×C4semidirect
1144. C22×C22⋊C4C23×C4semidirect
1145. C22×C22⋊C4C23×C4semidirect
1146. C22×C22⋊C4C23×C4semidirect
1209. C22×C42C23×C4semidirect
1210. C22×C42C23×C4semidirect
1211. C22×C42C22×D4semidirect
1212. C22×C42C22×D4semidirect
1221. #392C23×C4semidirect
1222. #392C23×C4semidirect
1223. #392C23×C4semidirect
1224. #392C23×C4semidirect
1225. #390C23×C4semidirect
1226. #390C23×C4semidirect
1227. #386C22×D4semidirect
1228. C4×C22⋊C4C23×C4semidirect
1229. C4×C22⋊C4C22×D4semidirect
1230. C2×#95C23×C4semidirect
1231. C2×#95C23×C4semidirect
1234. C2×#95C22×D4semidirect
1235. C2×#95C22×D4semidirect
1344. C22×D4C2×C4×D4semidirect
1355. C22×D4C24×C4semidirect
1356. C22×D4C24×C4semidirect
1357. C22×D4C24×C4semidirect
1358. C22×D4C24×C4semidirect
1359. C22×D4C24×C4semidirect
1417. C2×C4⋊C4C24×C4semidirect
1425. C2×C22⋊C4C24×C4semidirect
1426. C2×C22⋊C4C24×C4semidirect
1427. C2×C22⋊C4C24×C4semidirect
1428. C2×C22⋊C4C24×C4semidirect
1429. C2×C22⋊C4C24×C4semidirect
1430. C2×C22⋊C4C24×C4semidirect
1437. C2×C42C24×C4semidirect
1438. C2×C42C24×C4semidirect
1439. C2×C42C23×D4semidirect
1440. C2×C42C23×D4semidirect
1441. #95C24×C4semidirect
1442. #95C24×C4semidirect
1445. #95C23×D4semidirect
1446. #95C23×D4semidirect
1447. C24#2328semidirect
1528. C2×D4C22×C4×D4semidirect
1559. C23C2×#2328semidirect
1638. C22#525856direct (N × H)
1640. C22C22×#2328semidirect
1702. C2C2×#525856direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#137912
C22×#143772
C22×#144382
C2×#5258562
C22×#143112
C22×#138962
C22×#138092
C22×#140822
C22×#145202
C22×#142992
C22×#145192
C22×#140252
C22×#141752
C22×#144192
C22×#140232
C24×#3862
C23×#23582
C22×#141342
C22×#139952
C23×#24332
C23×C4×#1202
C22×#139672
C22×#146942
C22×#138672
C23×#23282