Finite Group Databasebeta

← C22×#2110333 #72339462

Subgroups — C22×#2110333 #72339462

Order 2048.

At least 8364 conjugacy classes of subgroups; only the 40712 normal subgroups are shown.

The subgroup lattice has 1506 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14068C211yesmaximal, characteristic, complemented
2C22×#14311C211yesmaximal, characteristic, complemented
3C22×#16810C211yesmaximal, characteristic, complemented
4C22×#14977C211yesmaximal, characteristic, complemented
5C22×#17086C211yesmaximal, characteristic, complemented
6C22×#15496C211yesmaximal, characteristic, complemented
7C22×#15450C211yesmaximal, characteristic, complemented
8C22×#15281C211yesmaximal, characteristic, complemented
9C22×#16500C211yesmaximal, characteristic, complemented
10C22×#15283C211yesmaximal, characteristic, complemented
11C22×#16284C211yesmaximal, characteristic, complemented
12C22×#14419C211yesmaximal, characteristic, complemented
13C22×#15310C211yesmaximal, characteristic, complemented
14C22×#16502C211yesmaximal, characteristic, complemented
15C22×#15273C211yesmaximal, characteristic, complemented
16C22×#16249C211yesmaximal, characteristic, complemented
17C22×#16249C211yesmaximal, characteristic, complemented
18C2×#2110333C2196yesmaximal, direct product factor
19C23×#2669C211yesmaximal, characteristic, complemented
20C22×#15258C211yesmaximal, characteristic, complemented
21C22×#15257C211yesmaximal, characteristic, complemented
22C22×#15257C211yesmaximal, characteristic, complemented
23C22×#15257C211yesmaximal, characteristic, complemented
24C23×#2433C211yesmaximal, characteristic, complemented
25C23×#2433C211yesmaximal, characteristic, complemented
26C23×#2668C211yesmaximal, characteristic, complemented
27C22×#14715C211yesmaximal, characteristic, complemented
28C22×#14715C211yesmaximal, characteristic, complemented
29C22×#14715C211yesmaximal, characteristic, complemented
30C23×#2403C211yesmaximal, characteristic, complemented
31C23×#2403C211yesmaximal, characteristic, complemented
32C22×#15947C211yesmaximal, characteristic, complemented
33C26×D4C2211yescharacteristic
34C26×D4C2211yescharacteristic, complemented
35C26×D4C2211yescharacteristic, complemented
36C24×#127C2211yescharacteristic
37C24×#127C2211yescharacteristic, complemented
38C24×#127C2211yescharacteristic, complemented
39C24×#121C2211yescharacteristic, complemented
40C24×#121C2211yescharacteristic, complemented
41C24×#121C2211yescharacteristic, complemented
42C24×#121C2211yescharacteristic, complemented
43C24×#120C2211yescharacteristic
44C24×#120C2211yescharacteristic
45C24×#120C2211yescharacteristic
46C24×#120C2211yescharacteristic
47C24×#120C2211yescharacteristic
48C24×#120C2211yescharacteristic
49C24×#120C2211yescharacteristic, complemented
50C24×#120C2211yescharacteristic, complemented
51C24×#120C2211yescharacteristic, complemented
52C24×#120C2211yescharacteristic, complemented
53C24×#120C2211yescharacteristic, complemented
54C24×#120C2211yescharacteristic, complemented
55C24×#120C2211yescharacteristic, complemented
56C24×#120C2211yescharacteristic, complemented
57C24×#120C2211yescharacteristic, complemented
58C24×#120C2211yescharacteristic, complemented
59C22×#2669C22148yescomplemented
60C22×#2668C22148yescomplemented
61C22×#2433C22148yescomplemented
62C22×#2433C22148yescomplemented
63C22×#2403C22148yescomplemented
64C22×#2403C22148yescomplemented
65C23×#399C2211yescharacteristic, complemented
66C23×#397C2211yescharacteristic, complemented
67C23×#397C2211yescharacteristic, complemented
68C23×#397C2211yescharacteristic, complemented
69C23×#394C2211yescharacteristic, complemented
70C23×#394C2211yescharacteristic, complemented
71C23×#394C2211yescharacteristic, complemented
72C23×#394C2211yescharacteristic, complemented
73C23×#394C2211yescharacteristic, complemented
74C23×#394C2211yescharacteristic, complemented
75C23×#392C2211yescharacteristic
76C23×#392C2211yescharacteristic
77C23×#392C2211yescharacteristic
78C23×#392C2211yescharacteristic
79C23×#392C2211yescharacteristic
80C23×#392C2211yescharacteristic
81C23×#392C2211yescharacteristic
82C23×#392C2211yescharacteristic
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×#392C2211yescharacteristic, complemented
93C23×#392C2211yescharacteristic, complemented
94C23×#392C2211yescharacteristic, complemented
95C23×#392C2211yescharacteristic, complemented
96C23×#392C2211yescharacteristic, complemented
97C23×#392C2211yescharacteristic, complemented
98C23×#392C2211yescharacteristic, complemented
99C23×#392C2211yescharacteristic, complemented
100C23×#392C2211yescharacteristic, complemented
101C23×#392C2211yescharacteristic, complemented
102C23×#392C2211yescharacteristic, complemented
103C23×#390C2211yescharacteristic, complemented
104C23×#390C2211yescharacteristic, complemented
105C23×#390C2211yescharacteristic, complemented
106C23×#390C2211yescharacteristic, complemented
107C23×#388C2211yescharacteristic, complemented
108C23×#388C2211yescharacteristic, complemented
109C23×#388C2211yescharacteristic, complemented
110C23×#386C2211yescharacteristic
111C23×#386C2211yescharacteristic
112C23×#386C2211yescharacteristic, complemented
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×#379C2211yescharacteristic, complemented
127C23×#379C2211yescharacteristic, complemented
128C23×#379C2211yescharacteristic, complemented
129C23×#379C2211yescharacteristic, complemented
130C23×#379C2211yescharacteristic, complemented
131C23×#379C2211yescharacteristic, complemented
132C23×C4×C22⋊C4C2211yescharacteristic, complemented
133C23×C4×C22⋊C4C2211yescharacteristic, complemented
134#2110333C2211024yesdirect product factor
135C2×#17086C22148yescomplemented
136C2×#16810C22148yescomplemented
137C2×#16502C22148yescomplemented
138C2×#16500C22148yescomplemented
139C2×#16284C22148yescomplemented
140C2×#16249C22148yescomplemented
141C2×#16249C22148yescomplemented
142C2×#15947C22148yescomplemented
143C2×#15496C22148yescomplemented
144C2×#15450C22148yescomplemented
145C2×#15310C22148yescomplemented
146C2×#15283C22148yescomplemented
147C2×#15281C22148yescomplemented
148C2×#15273C22148yescomplemented
149C2×#15258C22148yescomplemented
150C2×#15257C22148yescomplemented
151C2×#15257C22148yescomplemented
152C2×#15257C22148yescomplemented
153C2×#14977C22148yescomplemented
154C2×#14715C22148yescomplemented
155C2×#14715C22148yescomplemented
156C2×#14715C22148yescomplemented
157C2×#14419C22148yescomplemented
158C2×#14311C22148yescomplemented
159C2×#14068C22148yescomplemented
160C22×#1445C2211yescharacteristic, complemented
161C22×#1443C2211yescharacteristic, complemented
162C22×#1442C2211yescharacteristic, complemented
163C22×#1440C2211yescharacteristic, complemented
164C22×#1440C2211yescharacteristic, complemented
165C22×#1440C2211yescharacteristic, complemented
166C22×#1440C2211yescharacteristic, complemented
167C22×#1440C2211yescharacteristic, complemented
168C22×#1440C2211yescharacteristic, complemented
169C22×#1440C2211yescharacteristic, complemented
170C22×#1439C2211yescharacteristic, complemented
171C22×#1439C2211yescharacteristic, complemented
172C22×#1439C2211yescharacteristic, complemented
173C22×#1439C2211yescharacteristic, complemented
174C22×#1439C2211yescharacteristic, complemented
175C22×#1439C2211yescharacteristic, complemented
176C22×#1439C2211yescharacteristic, complemented
177C22×#1439C2211yescharacteristic, complemented
178C22×#1439C2211yescharacteristic, complemented
179C22×#1438C2211yescharacteristic
180C22×#1438C2211yescharacteristic, complemented
181C22×#1438C2211yescharacteristic, complemented
182C22×#1438C2211yescharacteristic, complemented
183C22×#1438C2211yescharacteristic, complemented
184C22×#1438C2211yescharacteristic, complemented
185C22×#1438C2211yescharacteristic, complemented
186C22×#1438C2211yescharacteristic, complemented
187C22×#1438C2211yescharacteristic, complemented
188C22×#1438C2211yescharacteristic, complemented
189C22×#1438C2211yescharacteristic, complemented
190C22×#1438C2211yescharacteristic, complemented
191C22×#1438C2211yescharacteristic, complemented
192C22×#1438C2211yescharacteristic, complemented
193C22×#1438C2211yescharacteristic, complemented
194C22×#1438C2211yescharacteristic, complemented
195C22×#1438C2211yescharacteristic, complemented
196C22×#1438C2211yescharacteristic, complemented
197C22×#1438C2211yescharacteristic, complemented
198C22×#1438C2211yescharacteristic, complemented
199C22×#1438C2211yescharacteristic, complemented
200C22×#1438C2211yescharacteristic, complemented
201C22×#1438C2211yescharacteristic, complemented
202C22×#1438C2211yescharacteristic, complemented
203C22×#1438C2211yescharacteristic, complemented
204C22×#1438C2211yescharacteristic, complemented
205C22×#1438C2211yescharacteristic, complemented
206C22×#1438C2211yescharacteristic, complemented
207C22×#1438C2211yescharacteristic, complemented
208C22×#1438C2211yescharacteristic, complemented
209C22×#1438C2211yescharacteristic, complemented
210C22×#1437C2211yescharacteristic, complemented
211C22×#1437C2211yescharacteristic, complemented
212C22×#1437C2211yescharacteristic, complemented
213C22×#1436C2211yescharacteristic, complemented
214C22×#1434C2211yescharacteristic, complemented
215C22×#1434C2211yescharacteristic, complemented
216C22×#1434C2211yescharacteristic, 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×D4C2311yescharacteristic
234C25×D4C2311yescharacteristic
235C25×D4C2311yescharacteristic
236C25×D4C2311yescharacteristic
237C25×D4C2311yescharacteristic
238C25×D4C2311yescharacteristic
239C25×D4C2311yescharacteristic
240C25×D4C2311yescharacteristic
241C25×D4C2311yescharacteristic
242C25×D4C2311yescharacteristic
243C25×D4C2311yescharacteristic
244C25×D4C2311yescharacteristic
245C25×D4C2311yescharacteristic
246C25×D4C2311yescharacteristic
247C25×D4C2311yescharacteristic
248C25×D4C2311yescharacteristic
249C25×D4C2311yescharacteristic
250C25×D4C23124yes—
251C25×D4C2311yescharacteristic
252C25×D4C2311yescharacteristic
253C25×D4C2311yescharacteristic
254C25×D4C2311yescharacteristic
255C25×D4C2311yescharacteristic
256C25×D4C2311yescharacteristic
257C25×D4C2311yescharacteristic
258C25×D4C23124yescomplemented
259C25×D4C23124yescomplemented
260C26×C4C2311yescharacteristic
261C26×C4C2311yescharacteristic
262C26×C4C2311yescharacteristic
263C26×C4C2311yescharacteristic
264C23×#127D4132yescomplemented
265C23×#127C23124yes—
266C23×#127C23124yescomplemented
267C23×#127C23124yescomplemented
268C23×#121C23124yescomplemented
269C23×#121C23124yescomplemented
270C23×#121C23124yescomplemented
271C23×#121C23124yescomplemented
272C23×#120C23124yes—
273C23×#120C23124yes—
274C23×#120C23124yes—
275C23×#120C23124yes—
276C23×#120C23124yes—
277C23×#120C23124yes—
278C23×#120C23124yescomplemented
279C23×#120C23124yescomplemented
280C23×#120C23124yescomplemented
281C23×#120C23124yescomplemented
282C23×#120C23124yescomplemented
283C23×#120C23124yescomplemented
284C23×#120C23124yescomplemented
285C23×#120C23124yescomplemented
286C23×#120C23124yescomplemented
287C23×#120C23124yescomplemented
288C24×C4⋊C4C2311yescharacteristic
289C24×C4⋊C4C2311yescharacteristic
290C24×C4⋊C4C2311yescharacteristic
291C24×C4⋊C4C2311yescharacteristic
292C24×C4⋊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⋊C4C2311yescharacteristic
311C24×C22⋊C4C2311yescharacteristic
312C24×C22⋊C4C2311yescharacteristic
313C24×C22⋊C4C2311yescharacteristic
314C24×C22⋊C4C2311yescharacteristic
315C24×C22⋊C4C2311yescharacteristic
316C24×C22⋊C4C2311yescharacteristic
317C24×C22⋊C4C2311yescharacteristic
318C24×C22⋊C4C2311yescharacteristic
319C24×C22⋊C4C2311yescharacteristic
320C24×C22⋊C4C2311yescharacteristic
321C24×C22⋊C4C2311yescharacteristic
322C24×C22⋊C4C2311yescharacteristic
323C24×C22⋊C4C2311yescharacteristic
324C24×C22⋊C4C2311yescharacteristic
325C24×C22⋊C4C2311yescharacteristic
326C24×C22⋊C4C2311yescharacteristic
327C24×C22⋊C4C2311yescharacteristic
328C24×C22⋊C4C2311yescharacteristic
329C24×C22⋊C4C2311yescharacteristic
330C24×C22⋊C4C2311yescharacteristic
331C24×C22⋊C4C2311yescharacteristic
332C24×C22⋊C4C2311yescharacteristic
333C24×C22⋊C4C2311yescharacteristic
334C24×C22⋊C4C2311yescharacteristic
335C24×C22⋊C4C2311yescharacteristic
336C24×C22⋊C4C2311yescharacteristic
337C24×C22⋊C4C2311yescharacteristic
338C24×C22⋊C4C2311yescharacteristic
339C24×C22⋊C4C2311yescharacteristic
340C24×C22⋊C4C2311yescharacteristic
341C24×C22⋊C4C2311yescharacteristic
342C24×C22⋊C4C2311yescharacteristic
343C24×C22⋊C4C2311yescharacteristic
344C24×C22⋊C4C2311yescharacteristic
345C24×C22⋊C4C2311yescharacteristic
346C24×C22⋊C4C2311yescharacteristic
347C24×C22⋊C4C2311yescharacteristic
348C24×C22⋊C4C2311yescharacteristic
349C24×C22⋊C4C2311yescharacteristic
350C24×C22⋊C4C2311yescharacteristic
351C24×C22⋊C4C2311yescharacteristic
352C24×C22⋊C4C2311yescharacteristic
353C24×C22⋊C4C2311yescharacteristic
354C24×C22⋊C4C2311yescharacteristic
355C24×C22⋊C4C2311yescharacteristic
356C24×C22⋊C4C2311yescharacteristic
357C24×C22⋊C4C2311yescharacteristic
358C24×C22⋊C4C2311yescharacteristic
359C24×C22⋊C4C2311yescharacteristic
360C24×C22⋊C4C2311yescharacteristic
361C24×C42C2311yescharacteristic
362C24×C42C2311yescharacteristic
363C24×C42C2311yescharacteristic
364C2×#2669C231256yescomplemented
365C2×#2668C231256yescomplemented
366C2×#2433C231256yescomplemented
367C2×#2433C231256yescomplemented
368C2×#2403C231256yescomplemented
369C2×#2403C231256yescomplemented
370C22×#399C23124yescomplemented
371C22×#397C23124yescomplemented
372C22×#397C23124yescomplemented
373C22×#397C23124yescomplemented
374C22×#394C23124yescomplemented
375C22×#394C23124yescomplemented
376C22×#394C23124yescomplemented
377C22×#394C23124yescomplemented
378C22×#394C23124yescomplemented
379C22×#394C23124yescomplemented
380C22×#392D4132yescomplemented
381C22×#392C23124yes—
382C22×#392C23124yes—
383C22×#392C23124yes—
384C22×#392C23124yes—
385C22×#392C23124yes—
386C22×#392C23124yes—
387C22×#392C23124yes—
388C22×#392C23124yes—
389C22×#392C23124yescomplemented
390C22×#392C23124yescomplemented
391C22×#392C23124yescomplemented
392C22×#392C23124yescomplemented
393C22×#392C23124yescomplemented
394C22×#392C23124yescomplemented
395C22×#392C23124yescomplemented
396C22×#392C23124yescomplemented
397C22×#392C23124yescomplemented
398C22×#392C23124yescomplemented
399C22×#392C23124yescomplemented
400C22×#392C23124yescomplemented
401C22×#392C23124yescomplemented
402C22×#392C23124yescomplemented
403C22×#392C23124yescomplemented
404C22×#392C23124yescomplemented
405C22×#392C23124yescomplemented
406C22×#392C23124yescomplemented
407C22×#392C23124yescomplemented
408C22×#392C23124yescomplemented
409C22×#390C23124yescomplemented
410C22×#390C23124yescomplemented
411C22×#390C23124yescomplemented
412C22×#390C23124yescomplemented
413C22×#388C23124yescomplemented
414C22×#388C23124yescomplemented
415C22×#388C23124yescomplemented
416C22×#386D4132yescomplemented
417C22×#386C23124yes—
418C22×#386C23124yes—
419C22×#386C23124yescomplemented
420C22×#386C23124yescomplemented
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×#379C23124yescomplemented
434C22×#379C23124yescomplemented
435C22×#379C23124yescomplemented
436C22×#379C23124yescomplemented
437C22×#379C23124yescomplemented
438C22×#379C23124yescomplemented
439C22×C4×C22⋊C4C23124yescomplemented
440C22×C4×C22⋊C4C23124yescomplemented
441C23×#95C2311yescharacteristic
442C23×#95C2311yescharacteristic
443C23×#95C2311yescharacteristic
444C23×#95C2311yescharacteristic
445C23×#95C2311yescharacteristic
446C23×#95C2311yescharacteristic
447C23×#95C2311yescharacteristic
448C23×#95C2311yescharacteristic
449C23×#95C2311yescharacteristic
450C23×#95C2311yescharacteristic
451C23×#95C2311yescharacteristic
452C23×#95C2311yescharacteristic
453C23×#95C2311yescharacteristic
454C23×#95C2311yescharacteristic
455C23×#95C2311yescharacteristic
456C23×#95C2311yescharacteristic
457C23×#95C2311yescharacteristic
458C23×#95C2311yescharacteristic
459C23×#95C2311yescharacteristic
460C23×#95C2311yescharacteristic
461C23×#95C2311yescharacteristic
462C23×#95C2311yescharacteristic
463C23×#95C2311yescharacteristic
464C23×#95C2311yescharacteristic
465C23×#95C2311yescharacteristic
466C23×#95C2311yescharacteristic
467C23×#95C2311yescharacteristic
468C23×#95C2311yescharacteristic
469C23×#95C2311yescharacteristic
470C23×#95C2311yescharacteristic
471C23×#95C2311yescharacteristic
472C23×#95C2311yescharacteristic
473C23×#95C2311yescharacteristic
474C23×#95C2311yescharacteristic
475C23×#95C2311yescharacteristic
476C23×#95C2311yescharacteristic
477C23×#95C2311yescharacteristic
478C23×#95C2311yescharacteristic
479#17086C231256yescomplemented
480#16810C231256yescomplemented
481#16502C231256yescomplemented
482#16500C231256yescomplemented
483#16284C231256yescomplemented
484#16249C231256yescomplemented
485#16249C231256yescomplemented
486#15947C231256yescomplemented
487#15496C231256yescomplemented
488#15450C231256yescomplemented
489#15310C231256yescomplemented
490#15283C231256yescomplemented
491#15281C231256yescomplemented
492#15273C231256yescomplemented
493#15258C231256yescomplemented
494#15257C231256yescomplemented
495#15257C231256yescomplemented
496#15257C231256yescomplemented
497#14977C231256yescomplemented
498#14715C231256yescomplemented
499#14715C231256yescomplemented
500#14715C231256yescomplemented
501#14419C231256yescomplemented
502#14311C231256yescomplemented
503#14068C231256yescomplemented
504C2×#1445C23124yescomplemented
505C2×#1443C23124yescomplemented
506C2×#1442C23124yescomplemented
507C2×#1440C23124yescomplemented
508C2×#1440C23124yescomplemented
509C2×#1440C23124yescomplemented
510C2×#1440C23124yescomplemented
511C2×#1440C23124yescomplemented
512C2×#1440C23124yescomplemented
513C2×#1440C23124yescomplemented
514C2×#1439C23124yescomplemented
515C2×#1439C23124yescomplemented
516C2×#1439C23124yescomplemented
517C2×#1439C23124yescomplemented
518C2×#1439C23124yescomplemented
519C2×#1439C23124yescomplemented
520C2×#1439C23124yescomplemented
521C2×#1439C23124yescomplemented
522C2×#1439C23124yescomplemented
523C2×#1438C23124yes—
524C2×#1438C23124yescomplemented
525C2×#1438C23124yescomplemented
526C2×#1438C23124yescomplemented
527C2×#1438C23124yescomplemented
528C2×#1438C23124yescomplemented
529C2×#1438C23124yescomplemented
530C2×#1438C23124yescomplemented
531C2×#1438C23124yescomplemented
532C2×#1438C23124yescomplemented
533C2×#1438C23124yescomplemented
534C2×#1438C23124yescomplemented
535C2×#1438C23124yescomplemented
536C2×#1438C23124yescomplemented
537C2×#1438C23124yescomplemented
538C2×#1438C23124yescomplemented
539C2×#1438C23124yescomplemented
540C2×#1438C23124yescomplemented
541C2×#1438C23124yescomplemented
542C2×#1438C23124yescomplemented
543C2×#1438C23124yescomplemented
544C2×#1438C23124yescomplemented
545C2×#1438C23124yescomplemented
546C2×#1438C23124yescomplemented
547C2×#1438C23124yescomplemented
548C2×#1438C23124yescomplemented
549C2×#1438C23124yescomplemented
550C2×#1438C23124yescomplemented
551C2×#1438C23124yescomplemented
552C2×#1438C23124yescomplemented
553C2×#1438C23124yescomplemented
554C2×#1437C23124yescomplemented
555C2×#1437C23124yescomplemented
556C2×#1437C23124yescomplemented
557C2×#1436C23124yescomplemented
558C2×#1434C23124yescomplemented
559C2×#1434C23124yescomplemented
560C2×#1434C23124yescomplemented
561C2×C22⋊#95C23124yescomplemented
562C2×C22⋊#95C23124yescomplemented
563C2×C22⋊#95C23124yescomplemented
564C27C2411yescharacteristic
565C27C2411yescharacteristic
566C27C2411yescharacteristic
567C27C2411yescharacteristic
568C27C2411yescharacteristic
569C27C2411yescharacteristic
570C27C2411yescharacteristic
571C27C2411yescharacteristic
572C27C2411yescharacteristic
573C27C2411yescharacteristic
574C27C24112yes—
575C27C24112yes—
576C27C24112yes—
577C27C24112yes—
578C24×D4C2×D4116yes—
579C24×D4C2×D4116yes—
580C24×D4C2×D4116yes—
581C24×D4C2×D4116yes—
582C24×D4C2×D4116yes—
583C24×D4C2×D4116yes—
584C24×D4C2×D4116yescomplemented
585C24×D4C2×D4116yescomplemented
586C24×D4C2×D4116yescomplemented
587C24×D4C2×D4116yescomplemented
588C24×D4C24112yes—
589C24×D4C24112yes—
590C24×D4C24112yes—
591C24×D4C24112yes—
592C24×D4C24112yes—
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×D4C24112yes—
611C24×D4C24112yes—
612C24×D4C24112yes—
613C24×D4C24112yes—
614C24×D4C24164yes—
615C24×D4C24112yes—
616C24×D4C24112yes—
617C24×D4C24112yes—
618C24×D4C24112yes—
619C24×D4C24112yes—
620C24×D4C24112yes—
621C24×D4C24112yes—
622C24×D4C24164yescomplemented
623C24×D4C24164yescomplemented
624C25×C4C2×D4116yescomplemented
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×C4C2411yescharacteristic
639C25×C4C2411yescharacteristic
640C25×C4C2411yescharacteristic
641C25×C4C2411yescharacteristic
642C25×C4C2411yescharacteristic
643C25×C4C2411yescharacteristic
644C25×C4C24112yes—
645C25×C4C2411yescharacteristic
646C25×C4C2411yescharacteristic
647C25×C4C24112yes—
648C25×C4C24112yes—
649C25×C4C24112yes—
650C22×#127C2×D41384yescomplemented
651C22×#127C24164yes—
652C22×#127C24164yescomplemented
653C22×#127C24164yescomplemented
654C22×#121C24164yescomplemented
655C22×#121C24164yescomplemented
656C22×#121C24164yescomplemented
657C22×#121C24164yescomplemented
658C22×#120C24164yes—
659C22×#120C24164yes—
660C22×#120C24164yes—
661C22×#120C24164yes—
662C22×#120C24164yes—
663C22×#120C24164yes—
664C22×#120C24164yescomplemented
665C22×#120C24164yescomplemented
666C22×#120C24164yescomplemented
667C22×#120C24164yescomplemented
668C22×#120C24164yescomplemented
669C22×#120C24164yescomplemented
670C22×#120C24164yescomplemented
671C22×#120C24164yescomplemented
672C22×#120C24164yescomplemented
673C22×#120C24164yescomplemented
674C23×C4⋊C4C24112yes—
675C23×C4⋊C4C24112yes—
676C23×C4⋊C4C24112yes—
677C23×C4⋊C4C24112yes—
678C23×C4⋊C4C24112yes—
679C23×C22⋊C4C2×D4116yes—
680C23×C22⋊C4C2×D4116yes—
681C23×C22⋊C4C2×D4116yes—
682C23×C22⋊C4C2×D4116yescomplemented
683C23×C22⋊C4C2×D4116yescomplemented
684C23×C22⋊C4C2×D4116yescomplemented
685C23×C22⋊C4C24112yes—
686C23×C22⋊C4C24112yes—
687C23×C22⋊C4C24112yes—
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⋊C4C24112yes—
727C23×C22⋊C4C24112yes—
728C23×C22⋊C4C24112yes—
729C23×C22⋊C4C24112yes—
730C23×C22⋊C4C24112yes—
731C23×C22⋊C4C24112yes—
732C23×C22⋊C4C24112yes—
733C23×C22⋊C4C24112yes—
734C23×C22⋊C4C24112yes—
735C23×C22⋊C4C24112yes—
736C23×C22⋊C4C24112yes—
737C23×C22⋊C4C24112yes—
738C23×C22⋊C4C24112yes—
739C23×C22⋊C4C24112yes—
740C23×C22⋊C4C24112yes—
741C23×C22⋊C4C24112yes—
742C23×C22⋊C4C24112yes—
743C23×C22⋊C4C24112yes—
744C23×C22⋊C4C24112yes—
745C23×C22⋊C4C24112yes—
746C23×C22⋊C4C24112yes—
747C23×C22⋊C4C24112yes—
748C23×C22⋊C4C24112yes—
749C23×C22⋊C4C24112yes—
750C23×C22⋊C4C24112yes—
751C23×C22⋊C4C24112yes—
752C23×C22⋊C4C24112yes—
753C23×C42C2×D4116yescomplemented
754C23×C42C24112yes—
755C23×C42C24112yes—
756C23×C42C24112yes—
757C2×#399C24164yescomplemented
758C2×#397C24164yescomplemented
759C2×#397C24164yescomplemented
760C2×#397C24164yescomplemented
761C2×#394C24164yescomplemented
762C2×#394C24164yescomplemented
763C2×#394C24164yescomplemented
764C2×#394C24164yescomplemented
765C2×#394C24164yescomplemented
766C2×#394C24164yescomplemented
767C2×#392C2×D41384yescomplemented
768C2×#392C24164yes—
769C2×#392C24164yes—
770C2×#392C24164yes—
771C2×#392C24164yes—
772C2×#392C24164yes—
773C2×#392C24164yes—
774C2×#392C24164yes—
775C2×#392C24164yes—
776C2×#392C24164yescomplemented
777C2×#392C24164yescomplemented
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×#392C24164yescomplemented
795C2×#392C24164yescomplemented
796C2×#390C24164yescomplemented
797C2×#390C24164yescomplemented
798C2×#390C24164yescomplemented
799C2×#390C24164yescomplemented
800C2×#388C24164yescomplemented
801C2×#388C24164yescomplemented
802C2×#388C24164yescomplemented
803C2×#386C2×D41384yescomplemented
804C2×#386C24164yes—
805C2×#386C24164yes—
806C2×#386C24164yescomplemented
807C2×#386C24164yescomplemented
808C2×#386C24164yescomplemented
809C2×#386C24164yescomplemented
810C2×#386C24164yescomplemented
811C2×#386C24164yescomplemented
812C2×#386C24164yescomplemented
813C2×#386C24164yescomplemented
814C2×#386C24164yescomplemented
815C2×#386C24164yescomplemented
816C2×#386C24164yescomplemented
817C2×#386C24164yescomplemented
818C2×#386C24164yescomplemented
819C2×#386C24164yescomplemented
820C2×#379C24164yescomplemented
821C2×#379C24164yescomplemented
822C2×#379C24164yescomplemented
823C2×#379C24164yescomplemented
824C2×#379C24164yescomplemented
825C2×#379C24164yescomplemented
826C2×C4×C22⋊C4C24164yescomplemented
827C2×C4×C22⋊C4C24164yescomplemented
828C22×#95C2×D4116yescomplemented
829C22×#95C2×D4116yescomplemented
830C22×#95C2×D4116yescomplemented
831C22×#95C24112yes—
832C22×#95C24112yes—
833C22×#95C24112yes—
834C22×#95C24112yes—
835C22×#95C24112yes—
836C22×#95C24112yes—
837C22×#95C24112yes—
838C22×#95C24112yes—
839C22×#95C24112yes—
840C22×#95C24112yes—
841C22×#95C24112yes—
842C22×#95C24112yes—
843C22×#95C24112yes—
844C22×#95C24112yes—
845C22×#95C24112yes—
846C22×#95C24112yes—
847C22×#95C24112yes—
848C22×#95C24112yes—
849C22×#95C24112yes—
850C22×#95C24112yes—
851C22×#95C24112yes—
852C22×#95C24112yes—
853C22×#95C24112yes—
854C22×#95C24112yes—
855C22×#95C24112yes—
856C22×#95C24112yes—
857C22×#95C24112yes—
858C22×#95C24112yes—
859C22×#95C24112yes—
860C22×#95C24112yes—
861C22×#95C24112yes—
862C22×#95C24112yes—
863C22×#95C24112yes—
864C22×#95C24112yes—
865C22×#95C24112yes—
866C22×#95C24112yes—
867C22×#95C24112yes—
868C22×#95C24112yes—
869#1445C24164yescomplemented
870#1443C24164yescomplemented
871#1442C24164yescomplemented
872#1440C24164yescomplemented
873#1440C24164yescomplemented
874#1440C24164yescomplemented
875#1440C24164yescomplemented
876#1440C24164yescomplemented
877#1440C24164yescomplemented
878#1440C24164yescomplemented
879#1439C24164yescomplemented
880#1439C24164yescomplemented
881#1439C24164yescomplemented
882#1439C24164yescomplemented
883#1439C24164yescomplemented
884#1439C24164yescomplemented
885#1439C24164yescomplemented
886#1439C24164yescomplemented
887#1439C24164yescomplemented
888#1438C24164yes—
889#1438C24164yescomplemented
890#1438C24164yescomplemented
891#1438C24164yescomplemented
892#1438C24164yescomplemented
893#1438C24164yescomplemented
894#1438C24164yescomplemented
895#1438C24164yescomplemented
896#1438C24164yescomplemented
897#1438C24164yescomplemented
898#1438C24164yescomplemented
899#1438C24164yescomplemented
900#1438C24164yescomplemented
901#1438C24164yescomplemented
902#1438C24164yescomplemented
903#1438C24164yescomplemented
904#1438C24164yescomplemented
905#1438C24164yescomplemented
906#1438C24164yescomplemented
907#1438C24164yescomplemented
908#1438C24164yescomplemented
909#1438C24164yescomplemented
910#1438C24164yescomplemented
911#1438C24164yescomplemented
912#1438C24164yescomplemented
913#1438C24164yescomplemented
914#1438C24164yescomplemented
915#1438C24164yescomplemented
916#1438C24164yescomplemented
917#1438C24164yescomplemented
918#1438C24164yescomplemented
919#1437C24164yescomplemented
920#1437C24164yescomplemented
921#1437C24164yescomplemented
922#1436C24164yescomplemented
923#1434C24164yescomplemented
924#1434C24164yescomplemented
925#1434C24164yescomplemented
926C22⋊#95C24164yescomplemented
927C22⋊#95C24164yescomplemented
928C22⋊#95C24164yescomplemented
929C26C22×D418yes—
930C26C22×D418yes—
931C26C22×D418yes—
932C26C22×D418yes—
933C26C22×D418yes—
934C26C22×D418yes—
935C26C22×D418yes—
936C26C22×D418yes—
937C26C22×D418yes—
938C26H(5,𝔽2)18yes—
939C26H(5,𝔽2)18yes—
940C26H(5,𝔽2)18yes—
941C26H(5,𝔽2)18yes—
942C26H(5,𝔽2)18yes—
943C26H(5,𝔽2)18yes—
944C26H(5,𝔽2)18yes—
945C26C2516yes—
946C26C2516yes—
947C26C2516yes—
948C26C2516yes—
949C26C2516yes—
950C26C2516yes—
951C26C2516yes—
952C26C2516yes—
953C26C2516yes—
954C26C2516yes—
955C26C25116yes—
956C26C25116yes—
957C26C25116yes—
958C26C25116yes—
959C26C2511yescharacteristic
960C23×D4C22×D4196yes—
961C23×D4C22×D4196yes—
962C23×D4C22×D4196yes—
963C23×D4C22×D4196yes—
964C23×D4C22×D4196yes—
965C23×D4C22×D4196yes—
966C23×D4C22×D4196yescomplemented
967C23×D4C22×D4196yescomplemented
968C23×D4C22×D4196yescomplemented
969C23×D4C22×D4196yescomplemented
970C23×D4C25116yes—
971C23×D4C25116yes—
972C23×D4C25116yes—
973C23×D4C25116yes—
974C23×D4C25116yes—
975C23×D4C25116yes—
976C23×D4C25116yes—
977C23×D4C25116yes—
978C23×D4C25116yes—
979C23×D4C25116yes—
980C23×D4C25116yes—
981C23×D4C25116yes—
982C23×D4C25116yes—
983C23×D4C25116yes—
984C23×D4C25116yes—
985C23×D4C25116yes—
986C23×D4C25116yes—
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—
1003C24×C4C22×D418yes—
1004C24×C4C22×D418yes—
1005C24×C4C22×D418yes—
1006C24×C4C22×D418yes—
1007C24×C4C22×D418yes—
1008C24×C4C22×D418yes—
1009C24×C4C22×D418yes—
1010C24×C4C22×D418yes—
1011C24×C4C22×D418yes—
1012C24×C4C22×D418yes—
1013C24×C4C22×D418yes—
1014C24×C4C22×D418yes—
1015C24×C4C22×D4196yescomplemented
1016C24×C4H(5,𝔽2)18yes—
1017C24×C4H(5,𝔽2)18yes—
1018C24×C4H(5,𝔽2)18yes—
1019C24×C4H(5,𝔽2)18yes—
1020C24×C4H(5,𝔽2)18yes—
1021C24×C4C2516yes—
1022C24×C4C2516yes—
1023C24×C4C2516yes—
1024C24×C4C2516yes—
1025C24×C4C2516yes—
1026C24×C4C2516yes—
1027C24×C4C2516yes—
1028C24×C4C2516yes—
1029C24×C4C2516yes—
1030C24×C4C2516yes—
1031C24×C4C2516yes—
1032C24×C4C2516yes—
1033C24×C4C2516yes—
1034C24×C4C2516yes—
1035C24×C4C2516yes—
1036C24×C4C2516yes—
1037C24×C4C2516yes—
1038C24×C4C2516yes—
1039C24×C4C2516yes—
1040C24×C4C25116yes—
1041C24×C4C2516yes—
1042C24×C4C2516yes—
1043C24×C4C25116yes—
1044C24×C4C25116yes—
1045C24×C4C25116yes—
1046C2×#127C22×D41512yescomplemented
1047C22×C4⋊C4C25116yes—
1048C22×C4⋊C4C25116yes—
1049C22×C4⋊C4C25116yes—
1050C22×C4⋊C4C25116yes—
1051C22×C4⋊C4C25116yes—
1052C22×C22⋊C4C22×D4196yes—
1053C22×C22⋊C4C22×D4196yes—
1054C22×C22⋊C4C22×D4196yes—
1055C22×C22⋊C4C22×D4196yescomplemented
1056C22×C22⋊C4C22×D4196yescomplemented
1057C22×C22⋊C4C22×D4196yescomplemented
1058C22×C22⋊C4C25116yes—
1059C22×C22⋊C4C25116yes—
1060C22×C22⋊C4C25116yes—
1061C22×C22⋊C4C25116yes—
1062C22×C22⋊C4C25116yes—
1063C22×C22⋊C4C25116yes—
1064C22×C22⋊C4C25116yes—
1065C22×C22⋊C4C25116yes—
1066C22×C22⋊C4C25116yes—
1067C22×C22⋊C4C25116yes—
1068C22×C22⋊C4C25116yes—
1069C22×C22⋊C4C25116yes—
1070C22×C22⋊C4C25116yes—
1071C22×C22⋊C4C25116yes—
1072C22×C22⋊C4C25116yes—
1073C22×C22⋊C4C25116yes—
1074C22×C22⋊C4C25116yes—
1075C22×C22⋊C4C25116yes—
1076C22×C22⋊C4C25116yes—
1077C22×C22⋊C4C25116yes—
1078C22×C22⋊C4C25116yes—
1079C22×C22⋊C4C25116yes—
1080C22×C22⋊C4C25116yes—
1081C22×C22⋊C4C25116yes—
1082C22×C22⋊C4C25116yes—
1083C22×C22⋊C4C25116yes—
1084C22×C22⋊C4C25116yes—
1085C22×C22⋊C4C25116yes—
1086C22×C22⋊C4C25116yes—
1087C22×C22⋊C4C25116yes—
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×C42C22×D4196yescomplemented
1127C22×C42C25116yes—
1128C22×C42C25116yes—
1129C22×C42C25116yes—
1130#392C22×D41512yescomplemented
1131#386C22×D41512yescomplemented
1132C2×#95C22×D4196yescomplemented
1133C2×#95C22×D4196yescomplemented
1134C2×#95C22×D4196yescomplemented
1135C2×#95C25116yes—
1136C2×#95C25116yes—
1137C2×#95C25116yes—
1138C2×#95C25116yes—
1139C2×#95C25116yes—
1140C2×#95C25116yes—
1141C2×#95C25116yes—
1142C2×#95C25116yes—
1143C2×#95C25116yes—
1144C2×#95C25116yes—
1145C2×#95C25116yes—
1146C2×#95C25116yes—
1147C2×#95C25116yes—
1148C2×#95C25116yes—
1149C2×#95C25116yes—
1150C2×#95C25116yes—
1151C2×#95C25116yes—
1152C2×#95C25116yes—
1153C2×#95C25116yes—
1154C2×#95C25116yes—
1155C2×#95C25116yes—
1156C2×#95C25116yes—
1157C2×#95C25116yes—
1158C2×#95C25116yes—
1159C2×#95C25116yes—
1160C2×#95C25116yes—
1161C2×#95C25116yes—
1162C2×#95C25116yes—
1163C2×#95C25116yes—
1164C2×#95C25116yes—
1165C2×#95C25116yes—
1166C2×#95C25116yes—
1167C2×#95C25116yes—
1168C2×#95C25116yes—
1169C2×#95C25116yes—
1170C2×#95C25116yes—
1171C2×#95C25116yes—
1172C2×#95C25116yes—
1173C25#534164yes—
1174C25#535164yes—
1175C25D42164yes—
1176C25C23×D4124yes—
1177C25C23×D4124yes—
1178C25C23×D4124yes—
1179C25C23×D4124yes—
1180C25C23×D4124yes—
1181C25C23×D4124yes—
1182C25C23×D4124yes—
1183C25C23×D4124yes—
1184C25C23×D4124yes—
1185C25C23×D414yes—
1186C25C23×D414yes—
1187C25C23×D414yes—
1188C25C2×H(5,𝔽2)124yes—
1189C25C2×H(5,𝔽2)124yes—
1190C25C2×H(5,𝔽2)124yes—
1191C25C2×H(5,𝔽2)124yes—
1192C25C2×H(5,𝔽2)124yes—
1193C25C2×H(5,𝔽2)124yes—
1194C25C2×H(5,𝔽2)124yes—
1195C25C2×H(5,𝔽2)14yes—
1196C25C2×H(5,𝔽2)14yes—
1197C25C2×H(5,𝔽2)14yes—
1198C25C2×H(5,𝔽2)14yes—
1199C25C2×H(5,𝔽2)14yes—
1200C25C2×H(5,𝔽2)14yes—
1201C25C2×H(5,𝔽2)14yes—
1202C25C2×H(5,𝔽2)14yes—
1203C25C2×H(5,𝔽2)14yes—
1204C25C2×H(5,𝔽2)14yes—
1205C25C2×H(5,𝔽2)14yes—
1206C25C2×H(5,𝔽2)14yes—
1207C25C2614yes—
1208C25C2614yes—
1209C25C2614yes—
1210C25C2614yes—
1211C25C2614yes—
1212C25C2614yes—
1213C25C2614yes—
1214C25C2614yes—
1215C25C2614yes—
1216C25C2614yes—
1217C25C2613yes—
1218C22×D4C23×D4164yes—
1219C22×D4C23×D4164yes—
1220C22×D4C23×D4164yes—
1221C22×D4C23×D4164yes—
1222C22×D4C23×D4164yes—
1223C22×D4C23×D4164yes—
1224C22×D4C23×D4164yescomplemented
1225C22×D4C23×D4164yescomplemented
1226C22×D4C23×D4164yescomplemented
1227C22×D4C23×D4164yescomplemented
1228C23×C4D42164yes—
1229C23×C4D42164yes—
1230C23×C4C23×D4124yes—
1231C23×C4C23×D4124yes—
1232C23×C4C23×D4124yes—
1233C23×C4C23×D4124yes—
1234C23×C4C23×D4124yes—
1235C23×C4C23×D4124yes—
1236C23×C4C23×D4124yes—
1237C23×C4C23×D4124yes—
1238C23×C4C23×D4124yes—
1239C23×C4C23×D4124yes—
1240C23×C4C23×D4124yes—
1241C23×C4C23×D4124yes—
1242C23×C4C23×D4164yescomplemented
1243C23×C4C2×H(5,𝔽2)124yes—
1244C23×C4C2×H(5,𝔽2)124yes—
1245C23×C4C2×H(5,𝔽2)124yes—
1246C23×C4C2×H(5,𝔽2)124yes—
1247C23×C4C2×H(5,𝔽2)124yes—
1248C23×C4C2614yes—
1249C23×C4C2614yes—
1250C23×C4C2614yes—
1251C23×C4C2614yes—
1252C23×C4C2614yes—
1253C23×C4C2614yes—
1254C23×C4C2614yes—
1255C23×C4C2614yes—
1256C23×C4C2614yes—
1257C23×C4C2614yes—
1258C23×C4C2614yes—
1259C23×C4C2614yes—
1260C23×C4C2614yes—
1261C23×C4C2614yes—
1262C23×C4C2614yes—
1263C23×C4C2614yes—
1264C23×C4C2614yes—
1265C23×C4C2614yes—
1266C23×C4C2614yes—
1267C23×C4C2614yes—
1268C23×C4C2614yes—
1269C2×C22⋊C4C23×D4164yes—
1270C2×C22⋊C4C23×D4164yes—
1271C2×C22⋊C4C23×D4164yes—
1272C2×C22⋊C4C23×D4164yescomplemented
1273C2×C22⋊C4C23×D4164yescomplemented
1274C2×C22⋊C4C23×D4164yescomplemented
1275C2×C42C23×D4164yescomplemented
1276#95C23×D4164yescomplemented
1277#95C23×D4164yescomplemented
1278#95C23×D4164yescomplemented
1279C24C2×#534196yes—
1280C24C2×#534116yes—
1281C24C2×#535196yes—
1282C24C2×#535116yes—
1283C24C2×D42196yes—
1284C24C2×D42116yes—
1285C24C2×D42116yes—
1286C24C2×D42116yes—
1287C24#3484116yes—
1288C24#3484116yes—
1289C24#3484116yes—
1290C24#3484116yes—
1291C24#3484116yes—
1292C24#3484116yes—
1293C24#3484116yes—
1294C24#3484116yes—
1295C24#3484116yes—
1296C24#3484116yes—
1297C24#3498116yes—
1298C24#3498116yes—
1299C24#3498116yes—
1300C24#3532116yes—
1301C24#3532116yes—
1302C24#3532116yes—
1303C24#3532116yes—
1304C24#3532116yes—
1305C24#3532116yes—
1306C24#3532116yes—
1307C24#3537116yes—
1308C24#3537116yes—
1309C24#3537116yes—
1310C24#3537116yes—
1311C24#3537116yes—
1312C24#3537116yes—
1313C24#3543116yes—
1314C24#3543116yes—
1315C24#3543116yes—
1316C24#3543116yes—
1317C24C24×D418yes—
1318C24C24×D418yes—
1319C24C24×D418yes—
1320C24C24×D418yes—
1321C24C24×D418yes—
1322C24C24×D418yes—
1323C24C24×D418yes—
1324C24C24×D418yes—
1325C24C24×D418yes—
1326C24C24×D416yes—
1327C24C24×D416yes—
1328C24C24×D416yes—
1329C24C22×H(5,𝔽2)18yes—
1330C24C22×H(5,𝔽2)18yes—
1331C24C22×H(5,𝔽2)18yes—
1332C24C22×H(5,𝔽2)18yes—
1333C24C22×H(5,𝔽2)18yes—
1334C24C22×H(5,𝔽2)18yes—
1335C24C22×H(5,𝔽2)18yes—
1336C24C22×H(5,𝔽2)16yes—
1337C24C22×H(5,𝔽2)16yes—
1338C24C22×H(5,𝔽2)16yes—
1339C24C22×H(5,𝔽2)16yes—
1340C24C22×H(5,𝔽2)16yes—
1341C24C22×H(5,𝔽2)16yes—
1342C24C22×H(5,𝔽2)16yes—
1343C24C22×H(5,𝔽2)16yes—
1344C24C22×H(5,𝔽2)16yes—
1345C24C22×H(5,𝔽2)16yes—
1346C24C22×H(5,𝔽2)16yes—
1347C24C22×H(5,𝔽2)16yes—
1348C24C2711yescharacteristic
1349C22×C4C2×D42196yes—
1350C22×C4C2×D42196yes—
1351C22×C4C24×D418yes—
1352C22×C4C24×D418yes—
1353C22×C4C24×D418yes—
1354C22×C4C24×D418yes—
1355C22×C4C24×D418yes—
1356C22×C4C24×D418yes—
1357C22×C4C24×D418yes—
1358C22×C4C24×D418yes—
1359C22×C4C24×D418yes—
1360C22×C4C24×D418yes—
1361C22×C4C24×D418yes—
1362C22×C4C24×D418yes—
1363C22×C4C22×H(5,𝔽2)18yes—
1364C22×C4C22×H(5,𝔽2)18yes—
1365C22×C4C22×H(5,𝔽2)18yes—
1366C22×C4C22×H(5,𝔽2)18yes—
1367C22×C4C22×H(5,𝔽2)18yes—
1368C23#37644164yes—
1369C23#37644164yes—
1370C23#37645164yes—
1371C23#37674164yes—
1372C23#40490164yes—
1373C23#40584164yes—
1374C23#43001164yes—
1375C23#45355164yes—
1376C23#46355164yes—
1377C23#47942164yes—
1378C23#50646164yes—
1379C23#52004164yes—
1380C23#55040164yes—
1381C23#56291164yes—
1382C23#59126164yes—
1383C23C22×#534116yes—
1384C23C22×#534112yes—
1385C23C22×#535116yes—
1386C23C22×#535112yes—
1387C23C22×D42116yes—
1388C23C22×D42112yes—
1389C23C22×D42112yes—
1390C23C22×D42112yes—
1391C23C2×#3532112yes—
1392C23C2×#3532112yes—
1393C23C2×#3532112yes—
1394C23C2×#3532112yes—
1395C23C2×#3532112yes—
1396C23C2×#3532112yes—
1397C23C2×#3532112yes—
1398C23C2×#3537112yes—
1399C23C2×#3537112yes—
1400C23C2×#3537112yes—
1401C23C2×#3537112yes—
1402C23C2×#3537112yes—
1403C23C2×#3537112yes—
1404C23C2×#3543112yes—
1405C23C2×#3543112yes—
1406C23C2×#3543112yes—
1407C23C2×#3543112yes—
1408C23C2×#3484112yes—
1409C23C2×#3484112yes—
1410C23C2×#3484112yes—
1411C23C2×#3484112yes—
1412C23C2×#3484112yes—
1413C23C2×#3484112yes—
1414C23C2×#3484112yes—
1415C23C2×#3484112yes—
1416C23C2×#3484112yes—
1417C23C2×#3484112yes—
1418C23C2×#3498112yes—
1419C23C2×#3498112yes—
1420C23C2×#3498112yes—
1421C23C25×D411yescharacteristic
1422C23C25×D411yescharacteristic
1423C23C25×D411yescharacteristic
1424C23C23×H(5,𝔽2)11yescharacteristic
1425C23C23×H(5,𝔽2)11yescharacteristic
1426C23C23×H(5,𝔽2)11yescharacteristic
1427C23C23×H(5,𝔽2)11yescharacteristic
1428C23C23×H(5,𝔽2)11yescharacteristic
1429C23C23×H(5,𝔽2)11yescharacteristic
1430C23C23×H(5,𝔽2)11yescharacteristic
1431C23C23×H(5,𝔽2)11yescharacteristic
1432C23C23×H(5,𝔽2)11yescharacteristic
1433C23C23×H(5,𝔽2)11yescharacteristic
1434C23C23×H(5,𝔽2)11yescharacteristic
1435C23C23×H(5,𝔽2)11yescharacteristic
1436C2×C4C22×D42116yes—
1437C2×C4C22×D42116yes—
1438C22#21103331256yesdirect product factor
1439C22C2×#37644124yes—
1440C22C2×#37644124yes—
1441C22C2×#37645124yes—
1442C22C2×#37674124yes—
1443C22C2×#40584124yes—
1444C22C2×#40490124yes—
1445C22C2×#59126124yes—
1446C22C2×#43001124yes—
1447C22C2×#45355124yes—
1448C22C2×#46355124yes—
1449C22C2×#47942124yes—
1450C22C2×#50646124yes—
1451C22C2×#52004124yes—
1452C22C2×#56291124yes—
1453C22C2×#55040124yes—
1454C22C23×#53411yescharacteristic
1455C22C23×#53511yescharacteristic
1456C22C23×D4211yescharacteristic
1457C22C23×D4211yescharacteristic
1458C22C23×D4211yescharacteristic
1459C22C22×#348411yescharacteristic
1460C22C22×#348411yescharacteristic
1461C22C22×#348411yescharacteristic
1462C22C22×#348411yescharacteristic
1463C22C22×#348411yescharacteristic
1464C22C22×#348411yescharacteristic
1465C22C22×#348411yescharacteristic
1466C22C22×#348411yescharacteristic
1467C22C22×#348411yescharacteristic
1468C22C22×#348411yescharacteristic
1469C22C22×#349811yescharacteristic
1470C22C22×#349811yescharacteristic
1471C22C22×#349811yescharacteristic
1472C22C22×#353211yescharacteristic
1473C22C22×#353211yescharacteristic
1474C22C22×#353211yescharacteristic
1475C22C22×#353211yescharacteristic
1476C22C22×#353211yescharacteristic
1477C22C22×#353211yescharacteristic
1478C22C22×#353211yescharacteristic
1479C22C22×#353711yescharacteristic
1480C22C22×#353711yescharacteristic
1481C22C22×#353711yescharacteristic
1482C22C22×#353711yescharacteristic
1483C22C22×#353711yescharacteristic
1484C22C22×#353711yescharacteristic
1485C22C22×#354311yescharacteristic
1486C22C22×#354311yescharacteristic
1487C22C22×#354311yescharacteristic
1488C22C22×#354311yescharacteristic
1489C2C22×#5200411yescharacteristic
1490C2C22×#4535511yescharacteristic
1491C2C22×#3764411yescharacteristic
1492C2C22×#3764411yescharacteristic
1493C2C22×#4300111yescharacteristic
1494C2C22×#4794211yescharacteristic
1495C2C22×#3767411yescharacteristic
1496C2C22×#5912611yescharacteristic
1497C2C22×#3764511yescharacteristic
1498C2C22×#4635511yescharacteristic
1499C2C22×#4058411yescharacteristic
1500C2C22×#4049011yescharacteristic
1501C2C2×#2110333148yesdirect product factor
1502C2C22×#5064611yescharacteristic
1503C2C22×#5504011yescharacteristic
1504C2C22×#5629111yescharacteristic
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×#14068C2semidirect
2. C22×#14311C2semidirect
3. C22×#16810C2semidirect
4. C22×#14977C2semidirect
5. C22×#17086C2semidirect
6. C22×#15496C2semidirect
7. C22×#15450C2semidirect
8. C22×#15281C2semidirect
9. C22×#16500C2semidirect
10. C22×#15283C2semidirect
11. C22×#16284C2semidirect
12. C22×#14419C2semidirect
13. C22×#15310C2semidirect
14. C22×#16502C2semidirect
15. C22×#15273C2semidirect
16. C22×#16249C2semidirect
17. C22×#16249C2semidirect
18. C2×#2110333C2direct (N × H)
19. C23×#2669C2semidirect
20. C22×#15258C2semidirect
21. C22×#15257C2semidirect
22. C22×#15257C2semidirect
23. C22×#15257C2semidirect
24. C23×#2433C2semidirect
25. C23×#2433C2semidirect
26. C23×#2668C2semidirect
27. C22×#14715C2semidirect
28. C22×#14715C2semidirect
29. C22×#14715C2semidirect
30. C23×#2403C2semidirect
31. C23×#2403C2semidirect
32. C22×#15947C2semidirect
34. C26×D4C22semidirect
35. C26×D4C22semidirect
37. C24×#127C22semidirect
38. C24×#127C22semidirect
39. C24×#121C22semidirect
40. C24×#121C22semidirect
41. C24×#121C22semidirect
42. C24×#121C22semidirect
49. C24×#120C22semidirect
50. C24×#120C22semidirect
51. C24×#120C22semidirect
52. C24×#120C22semidirect
53. C24×#120C22semidirect
54. C24×#120C22semidirect
55. C24×#120C22semidirect
56. C24×#120C22semidirect
57. C24×#120C22semidirect
58. C24×#120C22semidirect
59. C22×#2669C22semidirect
60. C22×#2668C22semidirect
61. C22×#2433C22semidirect
62. C22×#2433C22semidirect
63. C22×#2403C22semidirect
64. C22×#2403C22semidirect
65. C23×#399C22semidirect
66. C23×#397C22semidirect
67. C23×#397C22semidirect
68. C23×#397C22semidirect
69. C23×#394C22semidirect
70. C23×#394C22semidirect
71. C23×#394C22semidirect
72. C23×#394C22semidirect
73. C23×#394C22semidirect
74. C23×#394C22semidirect
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. C23×#392C22semidirect
94. C23×#392C22semidirect
95. C23×#392C22semidirect
96. C23×#392C22semidirect
97. C23×#392C22semidirect
98. C23×#392C22semidirect
99. C23×#392C22semidirect
100. C23×#392C22semidirect
101. C23×#392C22semidirect
102. C23×#392C22semidirect
103. C23×#390C22semidirect
104. C23×#390C22semidirect
105. C23×#390C22semidirect
106. C23×#390C22semidirect
107. C23×#388C22semidirect
108. C23×#388C22semidirect
109. C23×#388C22semidirect
112. C23×#386C22semidirect
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×#379C22semidirect
127. C23×#379C22semidirect
128. C23×#379C22semidirect
129. C23×#379C22semidirect
130. C23×#379C22semidirect
131. C23×#379C22semidirect
132. C23×C4×C22⋊C4C22semidirect
133. C23×C4×C22⋊C4C22semidirect
134. #2110333C22direct (N × H)
135. C2×#17086C22semidirect
136. C2×#16810C22semidirect
137. C2×#16502C22semidirect
138. C2×#16500C22semidirect
139. C2×#16284C22semidirect
140. C2×#16249C22semidirect
141. C2×#16249C22semidirect
142. C2×#15947C22semidirect
143. C2×#15496C22semidirect
144. C2×#15450C22semidirect
145. C2×#15310C22semidirect
146. C2×#15283C22semidirect
147. C2×#15281C22semidirect
148. C2×#15273C22semidirect
149. C2×#15258C22semidirect
150. C2×#15257C22semidirect
151. C2×#15257C22semidirect
152. C2×#15257C22semidirect
153. C2×#14977C22semidirect
154. C2×#14715C22semidirect
155. C2×#14715C22semidirect
156. C2×#14715C22semidirect
157. C2×#14419C22semidirect
158. C2×#14311C22semidirect
159. C2×#14068C22semidirect
160. C22×#1445C22semidirect
161. C22×#1443C22semidirect
162. C22×#1442C22semidirect
163. C22×#1440C22semidirect
164. C22×#1440C22semidirect
165. C22×#1440C22semidirect
166. C22×#1440C22semidirect
167. C22×#1440C22semidirect
168. C22×#1440C22semidirect
169. C22×#1440C22semidirect
170. C22×#1439C22semidirect
171. C22×#1439C22semidirect
172. C22×#1439C22semidirect
173. C22×#1439C22semidirect
174. C22×#1439C22semidirect
175. C22×#1439C22semidirect
176. C22×#1439C22semidirect
177. C22×#1439C22semidirect
178. C22×#1439C22semidirect
180. C22×#1438C22semidirect
181. C22×#1438C22semidirect
182. C22×#1438C22semidirect
183. C22×#1438C22semidirect
184. C22×#1438C22semidirect
185. C22×#1438C22semidirect
186. C22×#1438C22semidirect
187. C22×#1438C22semidirect
188. C22×#1438C22semidirect
189. C22×#1438C22semidirect
190. C22×#1438C22semidirect
191. C22×#1438C22semidirect
192. C22×#1438C22semidirect
193. C22×#1438C22semidirect
194. C22×#1438C22semidirect
195. C22×#1438C22semidirect
196. C22×#1438C22semidirect
197. C22×#1438C22semidirect
198. C22×#1438C22semidirect
199. C22×#1438C22semidirect
200. C22×#1438C22semidirect
201. C22×#1438C22semidirect
202. C22×#1438C22semidirect
203. C22×#1438C22semidirect
204. C22×#1438C22semidirect
205. C22×#1438C22semidirect
206. C22×#1438C22semidirect
207. C22×#1438C22semidirect
208. C22×#1438C22semidirect
209. C22×#1438C22semidirect
210. C22×#1437C22semidirect
211. C22×#1437C22semidirect
212. C22×#1437C22semidirect
213. C22×#1436C22semidirect
214. C22×#1434C22semidirect
215. C22×#1434C22semidirect
216. C22×#1434C22semidirect
217. C22×C22⋊#95C22semidirect
218. C22×C22⋊#95C22semidirect
219. C22×C22⋊#95C22semidirect
258. C25×D4C23semidirect
259. C25×D4C23semidirect
264. C23×#127D4semidirect
266. C23×#127C23semidirect
267. C23×#127C23semidirect
268. C23×#121C23semidirect
269. C23×#121C23semidirect
270. C23×#121C23semidirect
271. C23×#121C23semidirect
278. C23×#120C23semidirect
279. C23×#120C23semidirect
280. C23×#120C23semidirect
281. C23×#120C23semidirect
282. C23×#120C23semidirect
283. C23×#120C23semidirect
284. C23×#120C23semidirect
285. C23×#120C23semidirect
286. C23×#120C23semidirect
287. C23×#120C23semidirect
364. C2×#2669C23semidirect
365. C2×#2668C23semidirect
366. C2×#2433C23semidirect
367. C2×#2433C23semidirect
368. C2×#2403C23semidirect
369. C2×#2403C23semidirect
370. C22×#399C23semidirect
371. C22×#397C23semidirect
372. C22×#397C23semidirect
373. C22×#397C23semidirect
374. C22×#394C23semidirect
375. C22×#394C23semidirect
376. C22×#394C23semidirect
377. C22×#394C23semidirect
378. C22×#394C23semidirect
379. C22×#394C23semidirect
380. C22×#392D4semidirect
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. C22×#392C23semidirect
400. C22×#392C23semidirect
401. C22×#392C23semidirect
402. C22×#392C23semidirect
403. C22×#392C23semidirect
404. C22×#392C23semidirect
405. C22×#392C23semidirect
406. C22×#392C23semidirect
407. C22×#392C23semidirect
408. C22×#392C23semidirect
409. C22×#390C23semidirect
410. C22×#390C23semidirect
411. C22×#390C23semidirect
412. C22×#390C23semidirect
413. C22×#388C23semidirect
414. C22×#388C23semidirect
415. C22×#388C23semidirect
416. C22×#386D4semidirect
419. C22×#386C23semidirect
420. C22×#386C23semidirect
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×#379C23semidirect
434. C22×#379C23semidirect
435. C22×#379C23semidirect
436. C22×#379C23semidirect
437. C22×#379C23semidirect
438. C22×#379C23semidirect
439. C22×C4×C22⋊C4C23semidirect
440. C22×C4×C22⋊C4C23semidirect
479. #17086C23semidirect
480. #16810C23semidirect
481. #16502C23semidirect
482. #16500C23semidirect
483. #16284C23semidirect
484. #16249C23semidirect
485. #16249C23semidirect
486. #15947C23semidirect
487. #15496C23semidirect
488. #15450C23semidirect
489. #15310C23semidirect
490. #15283C23semidirect
491. #15281C23semidirect
492. #15273C23semidirect
493. #15258C23semidirect
494. #15257C23semidirect
495. #15257C23semidirect
496. #15257C23semidirect
497. #14977C23semidirect
498. #14715C23semidirect
499. #14715C23semidirect
500. #14715C23semidirect
501. #14419C23semidirect
502. #14311C23semidirect
503. #14068C23semidirect
504. C2×#1445C23semidirect
505. C2×#1443C23semidirect
506. C2×#1442C23semidirect
507. C2×#1440C23semidirect
508. C2×#1440C23semidirect
509. C2×#1440C23semidirect
510. C2×#1440C23semidirect
511. C2×#1440C23semidirect
512. C2×#1440C23semidirect
513. C2×#1440C23semidirect
514. C2×#1439C23semidirect
515. C2×#1439C23semidirect
516. C2×#1439C23semidirect
517. C2×#1439C23semidirect
518. C2×#1439C23semidirect
519. C2×#1439C23semidirect
520. C2×#1439C23semidirect
521. C2×#1439C23semidirect
522. C2×#1439C23semidirect
524. C2×#1438C23semidirect
525. C2×#1438C23semidirect
526. C2×#1438C23semidirect
527. C2×#1438C23semidirect
528. C2×#1438C23semidirect
529. C2×#1438C23semidirect
530. C2×#1438C23semidirect
531. C2×#1438C23semidirect
532. C2×#1438C23semidirect
533. C2×#1438C23semidirect
534. C2×#1438C23semidirect
535. C2×#1438C23semidirect
536. C2×#1438C23semidirect
537. C2×#1438C23semidirect
538. C2×#1438C23semidirect
539. C2×#1438C23semidirect
540. C2×#1438C23semidirect
541. C2×#1438C23semidirect
542. C2×#1438C23semidirect
543. C2×#1438C23semidirect
544. C2×#1438C23semidirect
545. C2×#1438C23semidirect
546. C2×#1438C23semidirect
547. C2×#1438C23semidirect
548. C2×#1438C23semidirect
549. C2×#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×#1434C23semidirect
559. C2×#1434C23semidirect
560. C2×#1434C23semidirect
561. C2×C22⋊#95C23semidirect
562. C2×C22⋊#95C23semidirect
563. C2×C22⋊#95C23semidirect
584. C24×D4C2×D4semidirect
585. C24×D4C2×D4semidirect
586. C24×D4C2×D4semidirect
587. C24×D4C2×D4semidirect
622. C24×D4C24semidirect
623. C24×D4C24semidirect
624. C25×C4C2×D4semidirect
650. C22×#127C2×D4semidirect
652. C22×#127C24semidirect
653. C22×#127C24semidirect
654. C22×#121C24semidirect
655. C22×#121C24semidirect
656. C22×#121C24semidirect
657. C22×#121C24semidirect
664. C22×#120C24semidirect
665. C22×#120C24semidirect
666. C22×#120C24semidirect
667. C22×#120C24semidirect
668. C22×#120C24semidirect
669. C22×#120C24semidirect
670. C22×#120C24semidirect
671. C22×#120C24semidirect
672. C22×#120C24semidirect
673. C22×#120C24semidirect
682. C23×C22⋊C4C2×D4semidirect
683. C23×C22⋊C4C2×D4semidirect
684. C23×C22⋊C4C2×D4semidirect
753. C23×C42C2×D4semidirect
757. C2×#399C24semidirect
758. C2×#397C24semidirect
759. C2×#397C24semidirect
760. C2×#397C24semidirect
761. C2×#394C24semidirect
762. C2×#394C24semidirect
763. C2×#394C24semidirect
764. C2×#394C24semidirect
765. C2×#394C24semidirect
766. C2×#394C24semidirect
767. C2×#392C2×D4semidirect
776. C2×#392C24semidirect
777. C2×#392C24semidirect
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×#392C24semidirect
795. C2×#392C24semidirect
796. C2×#390C24semidirect
797. C2×#390C24semidirect
798. C2×#390C24semidirect
799. C2×#390C24semidirect
800. C2×#388C24semidirect
801. C2×#388C24semidirect
802. C2×#388C24semidirect
803. C2×#386C2×D4semidirect
806. C2×#386C24semidirect
807. C2×#386C24semidirect
808. C2×#386C24semidirect
809. C2×#386C24semidirect
810. C2×#386C24semidirect
811. C2×#386C24semidirect
812. C2×#386C24semidirect
813. C2×#386C24semidirect
814. C2×#386C24semidirect
815. C2×#386C24semidirect
816. C2×#386C24semidirect
817. C2×#386C24semidirect
818. C2×#386C24semidirect
819. C2×#386C24semidirect
820. C2×#379C24semidirect
821. C2×#379C24semidirect
822. C2×#379C24semidirect
823. C2×#379C24semidirect
824. C2×#379C24semidirect
825. C2×#379C24semidirect
826. C2×C4×C22⋊C4C24semidirect
827. C2×C4×C22⋊C4C24semidirect
828. C22×#95C2×D4semidirect
829. C22×#95C2×D4semidirect
830. C22×#95C2×D4semidirect
869. #1445C24semidirect
870. #1443C24semidirect
871. #1442C24semidirect
872. #1440C24semidirect
873. #1440C24semidirect
874. #1440C24semidirect
875. #1440C24semidirect
876. #1440C24semidirect
877. #1440C24semidirect
878. #1440C24semidirect
879. #1439C24semidirect
880. #1439C24semidirect
881. #1439C24semidirect
882. #1439C24semidirect
883. #1439C24semidirect
884. #1439C24semidirect
885. #1439C24semidirect
886. #1439C24semidirect
887. #1439C24semidirect
889. #1438C24semidirect
890. #1438C24semidirect
891. #1438C24semidirect
892. #1438C24semidirect
893. #1438C24semidirect
894. #1438C24semidirect
895. #1438C24semidirect
896. #1438C24semidirect
897. #1438C24semidirect
898. #1438C24semidirect
899. #1438C24semidirect
900. #1438C24semidirect
901. #1438C24semidirect
902. #1438C24semidirect
903. #1438C24semidirect
904. #1438C24semidirect
905. #1438C24semidirect
906. #1438C24semidirect
907. #1438C24semidirect
908. #1438C24semidirect
909. #1438C24semidirect
910. #1438C24semidirect
911. #1438C24semidirect
912. #1438C24semidirect
913. #1438C24semidirect
914. #1438C24semidirect
915. #1438C24semidirect
916. #1438C24semidirect
917. #1438C24semidirect
918. #1438C24semidirect
919. #1437C24semidirect
920. #1437C24semidirect
921. #1437C24semidirect
922. #1436C24semidirect
923. #1434C24semidirect
924. #1434C24semidirect
925. #1434C24semidirect
926. C22⋊#95C24semidirect
927. C22⋊#95C24semidirect
928. C22⋊#95C24semidirect
966. C23×D4C22×D4semidirect
967. C23×D4C22×D4semidirect
968. C23×D4C22×D4semidirect
969. C23×D4C22×D4semidirect
1015. C24×C4C22×D4semidirect
1046. C2×#127C22×D4semidirect
1055. C22×C22⋊C4C22×D4semidirect
1056. C22×C22⋊C4C22×D4semidirect
1057. C22×C22⋊C4C22×D4semidirect
1126. C22×C42C22×D4semidirect
1130. #392C22×D4semidirect
1131. #386C22×D4semidirect
1132. C2×#95C22×D4semidirect
1133. C2×#95C22×D4semidirect
1134. C2×#95C22×D4semidirect
1224. C22×D4C23×D4semidirect
1225. C22×D4C23×D4semidirect
1226. C22×D4C23×D4semidirect
1227. C22×D4C23×D4semidirect
1242. C23×C4C23×D4semidirect
1272. C2×C22⋊C4C23×D4semidirect
1273. C2×C22⋊C4C23×D4semidirect
1274. C2×C22⋊C4C23×D4semidirect
1275. C2×C42C23×D4semidirect
1276. #95C23×D4semidirect
1277. #95C23×D4semidirect
1278. #95C23×D4semidirect
1438. C22#2110333direct (N × H)
1501. C2C2×#2110333direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#140682
C22×#143112
C22×#168102
C22×#149772
C22×#170862
C22×#154962
C22×#154502
C22×#152812
C22×#165002
C22×#152832
C22×#162842
C22×#144192
C22×#153102
C22×#165022
C22×#152732
C22×#162492
C2×#21103332
C23×#26692
C22×#152582
C22×#152572
C23×#24332
C23×#26682
C22×#147152
C23×#24032
C22×#159472