Finite Group Databasebeta

← C22×#647938 #72330065

Subgroups — C22×#647938 #72330065

Order 2048.

At least 7692 conjugacy classes of subgroups; only the 47592 normal subgroups are shown.

The subgroup lattice has 1602 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14064C211yesmaximal, characteristic, complemented
2C22×#14886C211yesmaximal, characteristic, complemented
3C22×#14759C211yesmaximal, characteristic, complemented
4C22×#13894C211yesmaximal, characteristic, complemented
5C22×#14717C211yesmaximal, characteristic, complemented
6C22×#14885C211yesmaximal, characteristic, complemented
7C22×#15412C211yesmaximal, characteristic, complemented
8C22×#15948C211yesmaximal, characteristic, complemented
9C22×#15368C211yesmaximal, characteristic, complemented
10C22×#15270C211yesmaximal, characteristic, complemented
11C22×#15453C211yesmaximal, characteristic, complemented
12C22×#14730C211yesmaximal, characteristic, complemented
13C22×#15323C211yesmaximal, characteristic, complemented
14C22×#14175C211yesmaximal, characteristic, complemented
15C22×#14023C211yesmaximal, characteristic, complemented
16C22×#14023C211yesmaximal, characteristic, complemented
17C22×#15273C211yesmaximal, characteristic, complemented
18C22×#14811C211yesmaximal, characteristic, complemented
19C24×#386C211yesmaximal, characteristic, complemented
20C23×#2404C211yesmaximal, characteristic, complemented
21C22×#15257C211yesmaximal, characteristic, complemented
22C23×D4×C22⋊C4C211yesmaximal, characteristic, complemented
23C24×#525C211yesmaximal, characteristic, complemented
24C23×#2410C211yesmaximal, characteristic, complemented
25C22×#14716C211yesmaximal, characteristic, complemented
26C22×#13967C211yesmaximal, characteristic, complemented
27C22×#13967C211yesmaximal, characteristic, complemented
28C22×#13967C211yesmaximal, characteristic, complemented
29C22×#14694C211yesmaximal, characteristic, complemented
30C2×#647938C2196yesmaximal, direct product factor
31C22×#14715C211yesmaximal, characteristic, complemented
32C23×#2403C211yesmaximal, characteristic, complemented
33C25×#41C2211yescharacteristic, complemented
34C26×D4C2211yescharacteristic
35C26×D4C2211yescharacteristic
36C27×C4C2211yescharacteristic, complemented
37C23×#525C22148yescomplemented
38C24×#123C2211yescharacteristic, complemented
39C24×#123C2211yescharacteristic, complemented
40C24×C22⋊Q8C2211yescharacteristic, complemented
41C24×C22⋊Q8C2211yescharacteristic, complemented
42C24×#121C2211yescharacteristic
43C24×#121C2211yescharacteristic
44C24×#121C2211yescharacteristic, complemented
45C24×#120C2211yescharacteristic
46C24×#120C2211yescharacteristic
47C24×#120C2211yescharacteristic
48C24×#120C2211yescharacteristic
49C24×#120C2211yescharacteristic
50C24×#120C2211yescharacteristic, complemented
51C24×#120C2211yescharacteristic, complemented
52C24×C4×D4C2211yescharacteristic
53C24×C4×D4C2211yescharacteristic
54C24×C4×D4C2211yescharacteristic, complemented
55C24×C4×D4C2211yescharacteristic, complemented
56C24×C4×D4C2211yescharacteristic, complemented
57C24×#117C2211yescharacteristic, complemented
58C25×C22⋊C4C2211yescharacteristic
59C25×C22⋊C4C2211yescharacteristic
60C25×C22⋊C4C2211yescharacteristic, complemented
61C25×C22⋊C4C2211yescharacteristic, complemented
62C22×#2404C22148yescomplemented
63C22×#2410C22148yescomplemented
64C22×#2403C22148yescomplemented
65C23×#394C2211yescharacteristic, complemented
66C23×#394C2211yescharacteristic, complemented
67C23×#393C2211yescharacteristic, complemented
68C23×#393C2211yescharacteristic, complemented
69C23×#393C2211yescharacteristic, complemented
70C23×#392C2211yescharacteristic
71C23×#392C2211yescharacteristic
72C23×#392C2211yescharacteristic
73C23×#392C2211yescharacteristic
74C23×#392C2211yescharacteristic
75C23×#392C2211yescharacteristic
76C23×#392C2211yescharacteristic, complemented
77C23×#392C2211yescharacteristic, complemented
78C23×#392C2211yescharacteristic, complemented
79C23×#392C2211yescharacteristic, complemented
80C23×#392C2211yescharacteristic, complemented
81C23×#392C2211yescharacteristic, complemented
82C22×D4×C22⋊C4C22148yescomplemented
83C23×#390C2211yescharacteristic, complemented
84C23×#390C2211yescharacteristic, complemented
85C23×#386C2211yescharacteristic
86C23×#386C2211yescharacteristic
87C23×#386C2211yescharacteristic
88C23×#386C2211yescharacteristic
89C23×#386C2211yescharacteristic
90C23×#386C2211yescharacteristic
91C23×#386C2211yescharacteristic
92C23×#386C2211yescharacteristic
93C23×#386C2211yescharacteristic
94C23×#386C2211yescharacteristic
95C23×#386C2211yescharacteristic
96C23×#386C2211yescharacteristic
97C23×#386C2211yescharacteristic, complemented
98C23×#386C2211yescharacteristic, complemented
99C23×#386C2211yescharacteristic, complemented
100C23×#386C2211yescharacteristic, complemented
101C23×#386C2211yescharacteristic, complemented
102C23×#386C2211yescharacteristic, complemented
103C23×#386C2211yescharacteristic, complemented
104C23×#386C2211yescharacteristic, complemented
105C23×#386C2211yescharacteristic, complemented
106C23×#386C2211yescharacteristic, complemented
107C23×#386C2211yescharacteristic, complemented
108C23×#386C2211yescharacteristic, complemented
109C23×#386C2211yescharacteristic, complemented
110C23×#386C2211yescharacteristic, complemented
111C23×#386C2211yescharacteristic, complemented
112C23×#386C2211yescharacteristic, complemented
113C23×#386C2211yescharacteristic, complemented
114C23×#386C2211yescharacteristic, complemented
115C23×#386C2211yescharacteristic, complemented
116C23×#386C22148yescomplemented
117C23×#385C2211yescharacteristic, complemented
118C23×#381C2211yescharacteristic, complemented
119C23×#380C2211yescharacteristic, complemented
120C23×#379C2211yescharacteristic
121C23×#379C2211yescharacteristic
122C23×#379C2211yescharacteristic, complemented
123C23×#379C2211yescharacteristic, complemented
124C23×#379C2211yescharacteristic, complemented
125C23×C4×C22⋊C4C2211yescharacteristic, complemented
126C24×#95C2211yescharacteristic, complemented
127C24×#95C2211yescharacteristic, complemented
128#647938C2211024yesdirect product factor
129C2×#15948C22148yescomplemented
130C2×#15453C22148yescomplemented
131C2×#15412C22148yescomplemented
132C2×#15368C22148yescomplemented
133C2×#15323C22148yescomplemented
134C2×#15273C22148yescomplemented
135C2×#15270C22148yescomplemented
136C2×#15257C22148yescomplemented
137C2×#14886C22148yescomplemented
138C2×#14885C22148yescomplemented
139C2×#14811C22148yescomplemented
140C2×#14759C22148yescomplemented
141C2×#14730C22148yescomplemented
142C2×#14717C22148yescomplemented
143C2×#14716C22148yescomplemented
144C2×#14715C22148yescomplemented
145C2×#14694C22148yescomplemented
146C2×#14175C22148yescomplemented
147C2×#14064C22148yescomplemented
148C2×#14023C22148yescomplemented
149C2×#14023C22148yescomplemented
150C2×#13967C22148yescomplemented
151C2×#13967C22148yescomplemented
152C2×#13967C22148yescomplemented
153C2×#13894C22148yescomplemented
154C22×#1446C2211yescharacteristic, complemented
155C22×#1445C2211yescharacteristic, complemented
156C22×#1445C2211yescharacteristic, complemented
157C22×#1442C2211yescharacteristic, complemented
158C22×#1442C2211yescharacteristic, complemented
159C22×#1442C2211yescharacteristic, complemented
160C22×#1441C2211yescharacteristic, complemented
161C22×#1441C2211yescharacteristic, complemented
162C22×#1440C2211yescharacteristic, complemented
163C22×#1440C2211yescharacteristic, complemented
164C22×#1440C2211yescharacteristic, complemented
165C22×#1440C2211yescharacteristic, complemented
166C22×#1439C2211yescharacteristic, complemented
167C22×#1439C2211yescharacteristic, complemented
168C22×#1439C2211yescharacteristic, complemented
169C22×#1439C2211yescharacteristic, complemented
170C22×#1439C2211yescharacteristic, complemented
171C22×#1439C2211yescharacteristic, complemented
172C22×#1439C2211yescharacteristic, complemented
173C22×#1439C2211yescharacteristic, complemented
174C22×#1439C2211yescharacteristic, complemented
175C22×#1439C2211yescharacteristic, complemented
176C22×#1439C2211yescharacteristic, complemented
177C22×#1439C2211yescharacteristic, complemented
178C22×#1439C2211yescharacteristic, complemented
179C22×#1439C2211yescharacteristic, complemented
180C22×#1439C2211yescharacteristic, complemented
181C22×#1439C2211yescharacteristic, complemented
182C22×#1439C2211yescharacteristic, complemented
183C22×#1438C2211yescharacteristic
184C22×#1438C2211yescharacteristic
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×#1437C2211yescharacteristic, complemented
198C22×#1437C2211yescharacteristic, complemented
199C22×#1437C2211yescharacteristic, complemented
200C22×#1437C2211yescharacteristic, complemented
201C22×#1437C2211yescharacteristic, complemented
202C22×#1437C2211yescharacteristic, complemented
203C22×#1436C2211yescharacteristic, complemented
204C22×#1436C2211yescharacteristic, complemented
205C22×#1434C2211yescharacteristic, complemented
206C22×#1434C2211yescharacteristic, complemented
207C22×C22⋊#95C2211yescharacteristic, complemented
208C22×C22⋊#95C2211yescharacteristic, complemented
209C22×C22⋊#95C2211yescharacteristic, complemented
210C22×C22⋊#95C2211yescharacteristic, complemented
211C22×C22⋊#95C2211yescharacteristic, complemented
212C22×C22⋊#95C2211yescharacteristic, complemented
213C22×C22⋊#95C2211yescharacteristic, complemented
214C22×C22⋊#95C2211yescharacteristic, complemented
215C22×C22⋊#95C2211yescharacteristic, complemented
216C22×C22⋊#95C2211yescharacteristic, complemented
217C22×C22⋊#95C2211yescharacteristic, complemented
218C22×C22⋊#95C2211yescharacteristic, complemented
219C22×C22⋊#95C2211yescharacteristic, complemented
220C28C2311yescharacteristic
221C28C2311yescharacteristic
222C28C2311yescharacteristic
223C24×#41C23124yescomplemented
224C25×Q8C2311yescharacteristic
225C25×D4C2311yescharacteristic
226C25×D4C2311yescharacteristic
227C25×D4C2311yescharacteristic
228C25×D4C2311yescharacteristic
229C25×D4C2311yescharacteristic
230C25×D4C2311yescharacteristic
231C25×D4C2311yescharacteristic
232C25×D4C2311yescharacteristic
233C25×D4C23124yes—
234C25×D4C2311yescharacteristic
235C25×D4C2311yescharacteristic
236C25×D4C2311yescharacteristic
237C25×D4C23124yes—
238C25×D4C2311yescharacteristic
239C25×D4C2311yescharacteristic
240C25×D4C2311yescharacteristic
241C25×D4C2311yescharacteristic
242C25×D4C2311yescharacteristic
243C25×D4C2311yescharacteristic
244C25×D4C2311yescharacteristic
245C25×D4C2311yescharacteristic
246C26×C4C2311yescharacteristic
247C26×C4C2311yescharacteristic
248C26×C4C2311yescharacteristic
249C26×C4C2311yescharacteristic
250C26×C4C2311yescharacteristic
251C26×C4C2311yescharacteristic
252C26×C4C2311yescharacteristic
253C26×C4C2311yescharacteristic
254C26×C4C2311yescharacteristic
255C26×C4C2311yescharacteristic
256C26×C4C2311yescharacteristic
257C26×C4C2311yescharacteristic
258C26×C4C2311yescharacteristic
259C26×C4C23124yescomplemented
260C22×#525C231256yescomplemented
261C23×#123C23124yescomplemented
262C23×#123C23124yescomplemented
263C23×C22⋊Q8C23124yescomplemented
264C23×C22⋊Q8C23124yescomplemented
265C23×#121D4132yescomplemented
266C23×#121C23124yes—
267C23×#121C23124yes—
268C23×#121C23124yescomplemented
269C23×#120D4132yescomplemented
270C23×#120C23124yes—
271C23×#120C23124yes—
272C23×#120C23124yes—
273C23×#120C23124yes—
274C23×#120C23124yes—
275C23×#120C23124yescomplemented
276C23×#120C23124yescomplemented
277C23×C4×D4D4132yescomplemented
278C23×C4×D4C23124yes—
279C23×C4×D4C23124yes—
280C23×C4×D4C23124yescomplemented
281C23×C4×D4C23124yescomplemented
282C23×C4×D4C23124yescomplemented
283C23×#117C23124yescomplemented
284C24×C4⋊C4C2311yescharacteristic
285C24×C4⋊C4C2311yescharacteristic
286C24×C4⋊C4C2311yescharacteristic
287C24×C4⋊C4C2311yescharacteristic
288C24×C4⋊C4C2311yescharacteristic
289C24×C4⋊C4C2311yescharacteristic
290C24×C4⋊C4C2311yescharacteristic
291C24×C4⋊C4C2311yescharacteristic
292C24×C22⋊C4C2311yescharacteristic
293C24×C22⋊C4C2311yescharacteristic
294C24×C22⋊C4C2311yescharacteristic
295C24×C22⋊C4C2311yescharacteristic
296C24×C22⋊C4C2311yescharacteristic
297C24×C22⋊C4C2311yescharacteristic
298C24×C22⋊C4C2311yescharacteristic
299C24×C22⋊C4C2311yescharacteristic
300C24×C22⋊C4C2311yescharacteristic
301C24×C22⋊C4C2311yescharacteristic
302C24×C22⋊C4C2311yescharacteristic
303C24×C22⋊C4C2311yescharacteristic
304C24×C22⋊C4C2311yescharacteristic
305C24×C22⋊C4C2311yescharacteristic
306C24×C22⋊C4C2311yescharacteristic
307C24×C22⋊C4C2311yescharacteristic
308C24×C22⋊C4C2311yescharacteristic
309C24×C22⋊C4C2311yescharacteristic
310C24×C22⋊C4C2311yescharacteristic
311C24×C22⋊C4C2311yescharacteristic
312C24×C22⋊C4C2311yescharacteristic
313C24×C22⋊C4C23124yes—
314C24×C22⋊C4C23124yes—
315C24×C22⋊C4C2311yescharacteristic
316C24×C22⋊C4C2311yescharacteristic
317C24×C22⋊C4C2311yescharacteristic
318C24×C22⋊C4C2311yescharacteristic
319C24×C22⋊C4C2311yescharacteristic
320C24×C22⋊C4C2311yescharacteristic
321C24×C22⋊C4C2311yescharacteristic
322C24×C22⋊C4C2311yescharacteristic
323C24×C22⋊C4C2311yescharacteristic
324C24×C22⋊C4C2311yescharacteristic
325C24×C22⋊C4C2311yescharacteristic
326C24×C22⋊C4C2311yescharacteristic
327C24×C22⋊C4C2311yescharacteristic
328C24×C22⋊C4C2311yescharacteristic
329C24×C22⋊C4C2311yescharacteristic
330C24×C22⋊C4C2311yescharacteristic
331C24×C22⋊C4C2311yescharacteristic
332C24×C22⋊C4C2311yescharacteristic
333C24×C22⋊C4C2311yescharacteristic
334C24×C22⋊C4C2311yescharacteristic
335C24×C22⋊C4C2311yescharacteristic
336C24×C22⋊C4C2311yescharacteristic
337C24×C22⋊C4C2311yescharacteristic
338C24×C22⋊C4C2311yescharacteristic
339C24×C22⋊C4C2311yescharacteristic
340C24×C22⋊C4C2311yescharacteristic
341C24×C22⋊C4C2311yescharacteristic
342C24×C22⋊C4C2311yescharacteristic
343C24×C22⋊C4C2311yescharacteristic
344C24×C22⋊C4C2311yescharacteristic
345C24×C22⋊C4C2311yescharacteristic
346C24×C22⋊C4C2311yescharacteristic
347C24×C22⋊C4C2311yescharacteristic
348C24×C22⋊C4C2311yescharacteristic
349C24×C22⋊C4C2311yescharacteristic
350C24×C22⋊C4C2311yescharacteristic
351C24×C22⋊C4C2311yescharacteristic
352C24×C22⋊C4C2311yescharacteristic
353C24×C22⋊C4C2311yescharacteristic
354C24×C22⋊C4C23124yescomplemented
355C24×C22⋊C4C23124yescomplemented
356C24×C42C2311yescharacteristic
357C24×C42C2311yescharacteristic
358C24×C42C2311yescharacteristic
359C2×#2404C231256yescomplemented
360C2×#2410C231256yescomplemented
361C2×#2403C231256yescomplemented
362C22×#394C23124yescomplemented
363C22×#394C23124yescomplemented
364C22×#393C23124yescomplemented
365C22×#393C23124yescomplemented
366C22×#393C23124yescomplemented
367C22×#392C23124yes—
368C22×#392C23124yes—
369C22×#392C23124yes—
370C22×#392C23124yes—
371C22×#392C23124yes—
372C22×#392C23124yes—
373C22×#392C23124yescomplemented
374C22×#392C23124yescomplemented
375C22×#392C23124yescomplemented
376C22×#392C23124yescomplemented
377C22×#392C23124yescomplemented
378C22×#392C23124yescomplemented
379C2×D4×C22⋊C4C231256yescomplemented
380C22×#390C23124yescomplemented
381C22×#390C23124yescomplemented
382C22×#386D4132yescomplemented
383C22×#386C23124yes—
384C22×#386C23124yes—
385C22×#386C23124yes—
386C22×#386C23124yes—
387C22×#386C23124yes—
388C22×#386C23124yes—
389C22×#386C23124yes—
390C22×#386C23124yes—
391C22×#386C23124yes—
392C22×#386C23124yes—
393C22×#386C23124yes—
394C22×#386C23124yes—
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×#386C23124yescomplemented
409C22×#386C23124yescomplemented
410C22×#386C23124yescomplemented
411C22×#386C23124yescomplemented
412C22×#386C23124yescomplemented
413C22×#386C23124yescomplemented
414C22×#386C231256yescomplemented
415C22×#385C23124yescomplemented
416C22×#381C23124yescomplemented
417C22×#380C23124yescomplemented
418C22×#379C23124yes—
419C22×#379C23124yes—
420C22×#379C23124yescomplemented
421C22×#379C23124yescomplemented
422C22×#379C23124yescomplemented
423C22×C4×C22⋊C4C23124yescomplemented
424C23×#95C2311yescharacteristic
425C23×#95C2311yescharacteristic
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×#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×#95C23124yescomplemented
473C23×#95C23124yescomplemented
474#15948C231256yescomplemented
475#15453C231256yescomplemented
476#15412C231256yescomplemented
477#15368C231256yescomplemented
478#15323C231256yescomplemented
479#15273C231256yescomplemented
480#15270C231256yescomplemented
481#15257C231256yescomplemented
482#14886C231256yescomplemented
483#14885C231256yescomplemented
484#14811C231256yescomplemented
485#14759C231256yescomplemented
486#14730C231256yescomplemented
487#14717C231256yescomplemented
488#14716C231256yescomplemented
489#14715C231256yescomplemented
490#14694C231256yescomplemented
491#14175C231256yescomplemented
492#14064C231256yescomplemented
493#14023C231256yescomplemented
494#14023C231256yescomplemented
495#13967C231256yescomplemented
496#13967C231256yescomplemented
497#13967C231256yescomplemented
498#13894C231256yescomplemented
499C2×#1446C23124yescomplemented
500C2×#1445C23124yescomplemented
501C2×#1445C23124yescomplemented
502C2×#1442C23124yescomplemented
503C2×#1442C23124yescomplemented
504C2×#1442C23124yescomplemented
505C2×#1441C23124yescomplemented
506C2×#1441C23124yescomplemented
507C2×#1440C23124yescomplemented
508C2×#1440C23124yescomplemented
509C2×#1440C23124yescomplemented
510C2×#1440C23124yescomplemented
511C2×#1439C23124yescomplemented
512C2×#1439C23124yescomplemented
513C2×#1439C23124yescomplemented
514C2×#1439C23124yescomplemented
515C2×#1439C23124yescomplemented
516C2×#1439C23124yescomplemented
517C2×#1439C23124yescomplemented
518C2×#1439C23124yescomplemented
519C2×#1439C23124yescomplemented
520C2×#1439C23124yescomplemented
521C2×#1439C23124yescomplemented
522C2×#1439C23124yescomplemented
523C2×#1439C23124yescomplemented
524C2×#1439C23124yescomplemented
525C2×#1439C23124yescomplemented
526C2×#1439C23124yescomplemented
527C2×#1439C23124yescomplemented
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
542C2×#1437C23124yescomplemented
543C2×#1437C23124yescomplemented
544C2×#1437C23124yescomplemented
545C2×#1437C23124yescomplemented
546C2×#1437C23124yescomplemented
547C2×#1437C23124yescomplemented
548C2×#1436C23124yescomplemented
549C2×#1436C23124yescomplemented
550C2×#1434C23124yescomplemented
551C2×#1434C23124yescomplemented
552C2×C22⋊#95C23124yescomplemented
553C2×C22⋊#95C23124yescomplemented
554C2×C22⋊#95C23124yescomplemented
555C2×C22⋊#95C23124yescomplemented
556C2×C22⋊#95C23124yescomplemented
557C2×C22⋊#95C23124yescomplemented
558C2×C22⋊#95C23124yescomplemented
559C2×C22⋊#95C23124yescomplemented
560C2×C22⋊#95C23124yescomplemented
561C2×C22⋊#95C23124yescomplemented
562C2×C22⋊#95C23124yescomplemented
563C2×C22⋊#95C23124yescomplemented
564C2×C22⋊#95C23124yescomplemented
565C27C2×D4116yes—
566C27#41116yescomplemented
567C27C2411yescharacteristic
568C27C2411yescharacteristic
569C27C2411yescharacteristic
570C27C2411yescharacteristic
571C27C2411yescharacteristic
572C27C2411yescharacteristic
573C27C2411yescharacteristic
574C27C24112yes—
575C27C24112yes—
576C27C2411yescharacteristic
577C27C24112yes—
578C23×#41C24164yescomplemented
579C24×Q8C24112yes—
580C24×D4C2×D4116yes—
581C24×D4C2×D4116yes—
582C24×D4C2×D4116yes—
583C24×D4C2×D4116yes—
584C24×D4C2×D4116yes—
585C24×D4C2×D4116yes—
586C24×D4C2×D4116yes—
587C24×D4C2×D4116yescomplemented
588C24×D4#41116yescomplemented
589C24×D4#41116yescomplemented
590C24×D4C24112yes—
591C24×D4C24112yes—
592C24×D4C24112yes—
593C24×D4C24112yes—
594C24×D4C24112yes—
595C24×D4C24112yes—
596C24×D4C24164yes—
597C24×D4C24112yes—
598C24×D4C24112yes—
599C24×D4C24112yes—
600C24×D4C24112yes—
601C24×D4C24112yes—
602C24×D4C24164yes—
603C24×D4C24112yes—
604C24×D4C24112yes—
605C24×D4C24112yes—
606C24×D4C24112yes—
607C24×D4C24112yes—
608C24×D4C24112yes—
609C24×D4C24112yes—
610C24×D4C24112yes—
611C25×C4C2×D4116yes—
612C25×C4C2×D4116yes—
613C25×C4C2×D4116yescomplemented
614C25×C4C2×D4116yescomplemented
615C25×C4C2411yescharacteristic
616C25×C4C2411yescharacteristic
617C25×C4C2411yescharacteristic
618C25×C4C2411yescharacteristic
619C25×C4C2411yescharacteristic
620C25×C4C2411yescharacteristic
621C25×C4C2411yescharacteristic
622C25×C4C2411yescharacteristic
623C25×C4C2411yescharacteristic
624C25×C4C2411yescharacteristic
625C25×C4C2411yescharacteristic
626C25×C4C2411yescharacteristic
627C25×C4C2411yescharacteristic
628C25×C4C2411yescharacteristic
629C25×C4C2411yescharacteristic
630C25×C4C2411yescharacteristic
631C25×C4C2411yescharacteristic
632C25×C4C2411yescharacteristic
633C25×C4C24112yes—
634C25×C4C2411yescharacteristic
635C25×C4C2411yescharacteristic
636C25×C4C24112yes—
637C25×C4C24112yes—
638C25×C4C24112yes—
639C25×C4C24112yes—
640C25×C4C24112yes—
641C25×C4C24112yes—
642C25×C4C24112yes—
643C25×C4C24112yes—
644C25×C4C24112yes—
645C25×C4C24112yes—
646C25×C4C24112yes—
647C25×C4C2411yescharacteristic
648C25×C4C2411yescharacteristic
649C25×C4C2411yescharacteristic
650C25×C4C24112yes—
651C25×C4C24164yescomplemented
652C22×#123C24164yescomplemented
653C22×#123C24164yescomplemented
654C22×C22⋊Q8C24164yescomplemented
655C22×C22⋊Q8C24164yescomplemented
656C22×#121C2×D41384yescomplemented
657C22×#121C24164yes—
658C22×#121C24164yes—
659C22×#121C24164yescomplemented
660C22×#120C2×D41384yescomplemented
661C22×#120C24164yes—
662C22×#120C24164yes—
663C22×#120C24164yes—
664C22×#120C24164yes—
665C22×#120C24164yes—
666C22×#120C24164yescomplemented
667C22×#120C24164yescomplemented
668C22×C4×D4C2×D41384yescomplemented
669C22×C4×D4C24164yes—
670C22×C4×D4C24164yes—
671C22×C4×D4C24164yescomplemented
672C22×C4×D4C24164yescomplemented
673C22×C4×D4C24164yescomplemented
674C22×#117C24164yescomplemented
675C23×C4⋊C4C2×D4116yescomplemented
676C23×C4⋊C4C2×D4116yescomplemented
677C23×C4⋊C4C24112yes—
678C23×C4⋊C4C24112yes—
679C23×C4⋊C4C24112yes—
680C23×C4⋊C4C24112yes—
681C23×C4⋊C4C24112yes—
682C23×C4⋊C4C24112yes—
683C23×C4⋊C4C24112yes—
684C23×C4⋊C4C24112yes—
685C23×C22⋊C4C2×D4116yes—
686C23×C22⋊C4C2×D4116yes—
687C23×C22⋊C4C2×D4116yes—
688C23×C22⋊C4C2×D4116yes—
689C23×C22⋊C4C2×D4116yes—
690C23×C22⋊C4C2×D4116yes—
691C23×C22⋊C4C2×D4116yescomplemented
692C23×C22⋊C4C2×D4116yescomplemented
693C23×C22⋊C4C2×D4116yescomplemented
694C23×C22⋊C4C2×D4116yescomplemented
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⋊C4C24164yes—
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⋊C4C24112yes—
755C23×C22⋊C4C24112yes—
756C23×C22⋊C4C24112yes—
757C23×C22⋊C4C24164yescomplemented
758C23×C22⋊C4C24164yescomplemented
759C23×C42C2×D4116yescomplemented
760C23×C42C24112yes—
761C23×C42C24112yes—
762C23×C42C24112yes—
763C2×#394C24164yescomplemented
764C2×#394C24164yescomplemented
765C2×#393C24164yescomplemented
766C2×#393C24164yescomplemented
767C2×#393C24164yescomplemented
768C2×#392C24164yes—
769C2×#392C24164yes—
770C2×#392C24164yes—
771C2×#392C24164yes—
772C2×#392C24164yes—
773C2×#392C24164yes—
774C2×#392C24164yescomplemented
775C2×#392C24164yescomplemented
776C2×#392C24164yescomplemented
777C2×#392C24164yescomplemented
778C2×#392C24164yescomplemented
779C2×#392C24164yescomplemented
780C2×#390C24164yescomplemented
781C2×#390C24164yescomplemented
782C2×#386C2×D41384yescomplemented
783C2×#386C24164yes—
784C2×#386C24164yes—
785C2×#386C24164yes—
786C2×#386C24164yes—
787C2×#386C24164yes—
788C2×#386C24164yes—
789C2×#386C24164yes—
790C2×#386C24164yes—
791C2×#386C24164yes—
792C2×#386C24164yes—
793C2×#386C24164yes—
794C2×#386C24164yes—
795C2×#386C24164yescomplemented
796C2×#386C24164yescomplemented
797C2×#386C24164yescomplemented
798C2×#386C24164yescomplemented
799C2×#386C24164yescomplemented
800C2×#386C24164yescomplemented
801C2×#386C24164yescomplemented
802C2×#386C24164yescomplemented
803C2×#386C24164yescomplemented
804C2×#386C24164yescomplemented
805C2×#386C24164yescomplemented
806C2×#386C24164yescomplemented
807C2×#386C24164yescomplemented
808C2×#386C24164yescomplemented
809C2×#386C24164yescomplemented
810C2×#386C24164yescomplemented
811C2×#386C24164yescomplemented
812C2×#386C24164yescomplemented
813C2×#386C24164yescomplemented
814C2×#385C24164yescomplemented
815C2×#381C24164yescomplemented
816C2×#380C24164yescomplemented
817C2×#379C24164yes—
818C2×#379C24164yes—
819C2×#379C24164yescomplemented
820C2×#379C24164yescomplemented
821C2×#379C24164yescomplemented
822C2×C4×C22⋊C4C24164yescomplemented
823C22×#95C2×D4116yescomplemented
824C22×#95C2×D4116yescomplemented
825C22×#95C24112yes—
826C22×#95C24112yes—
827C22×#95C24112yes—
828C22×#95C24112yes—
829C22×#95C24112yes—
830C22×#95C24112yes—
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—
869C22×#95C24112yes—
870C22×#95C24112yes—
871C22×#95C24112yes—
872C22×#95C24112yes—
873C22×#95C24164yescomplemented
874C22×#95C24164yescomplemented
875#1446C24164yescomplemented
876#1445C24164yescomplemented
877#1445C24164yescomplemented
878#1442C24164yescomplemented
879#1442C24164yescomplemented
880#1442C24164yescomplemented
881#1441C24164yescomplemented
882#1441C24164yescomplemented
883#1440C24164yescomplemented
884#1440C24164yescomplemented
885#1440C24164yescomplemented
886#1440C24164yescomplemented
887#1439C24164yescomplemented
888#1439C24164yescomplemented
889#1439C24164yescomplemented
890#1439C24164yescomplemented
891#1439C24164yescomplemented
892#1439C24164yescomplemented
893#1439C24164yescomplemented
894#1439C24164yescomplemented
895#1439C24164yescomplemented
896#1439C24164yescomplemented
897#1439C24164yescomplemented
898#1439C24164yescomplemented
899#1439C24164yescomplemented
900#1439C24164yescomplemented
901#1439C24164yescomplemented
902#1439C24164yescomplemented
903#1439C24164yescomplemented
904#1438C24164yes—
905#1438C24164yes—
906#1438C24164yescomplemented
907#1438C24164yescomplemented
908#1438C24164yescomplemented
909#1438C24164yescomplemented
910#1438C24164yescomplemented
911#1438C24164yescomplemented
912#1438C24164yescomplemented
913#1438C24164yescomplemented
914#1438C24164yescomplemented
915#1438C24164yescomplemented
916#1438C24164yescomplemented
917#1438C24164yescomplemented
918#1437C24164yescomplemented
919#1437C24164yescomplemented
920#1437C24164yescomplemented
921#1437C24164yescomplemented
922#1437C24164yescomplemented
923#1437C24164yescomplemented
924#1436C24164yescomplemented
925#1436C24164yescomplemented
926#1434C24164yescomplemented
927#1434C24164yescomplemented
928C22⋊#95C24164yescomplemented
929C22⋊#95C24164yescomplemented
930C22⋊#95C24164yescomplemented
931C22⋊#95C24164yescomplemented
932C22⋊#95C24164yescomplemented
933C22⋊#95C24164yescomplemented
934C22⋊#95C24164yescomplemented
935C22⋊#95C24164yescomplemented
936C22⋊#95C24164yescomplemented
937C22⋊#95C24164yescomplemented
938C22⋊#95C24164yescomplemented
939C22⋊#95C24164yescomplemented
940C22⋊#95C24164yescomplemented
941C26C22×D418yes—
942C26C22×D418yes—
943C26C22×D418yes—
944C26C22×D418yes—
945C26C22×D418yes—
946C26C22×D418yes—
947C26C22×D418yes—
948C26C22×D418yes—
949C26C22×D4196yes—
950C26C22×D418yes—
951C26C22×D418yes—
952C26C22×D418yes—
953C26C2×#4118yes—
954C26C2×#4118yes—
955C26C2×#4118yes—
956C26C2×#4118yes—
957C26C2×#4118yes—
958C26C2×#4118yes—
959C26C2×#4118yes—
960C26C2×#41196yescomplemented
961C26H(5,𝔽2)18yes—
962C26H(5,𝔽2)18yes—
963C26H(5,𝔽2)18yes—
964C26H(5,𝔽2)18yes—
965C26C2516yes—
966C26C2516yes—
967C26C2516yes—
968C26C2516yes—
969C26C2516yes—
970C26C2516yes—
971C26C2516yes—
972C26C25116yes—
973C26C25116yes—
974C26C2516yes—
975C26C25116yes—
976C26C2511yescharacteristic
977C23×Q8C25116yes—
978C23×D4#1201256yes—
979C23×D4C22×D4196yes—
980C23×D4C22×D4196yes—
981C23×D4C22×D4196yes—
982C23×D4C22×D4196yes—
983C23×D4C22×D4196yes—
984C23×D4C22×D4196yes—
985C23×D4C22×D4196yes—
986C23×D4C22×D4196yescomplemented
987C23×D4C2×#41196yescomplemented
988C23×D4C2×#41196yescomplemented
989C23×D4C25116yes—
990C23×D4C25116yes—
991C23×D4C25116yes—
992C23×D4C25116yes—
993C23×D4C25116yes—
994C23×D4C25116yes—
995C23×D4C25116yes—
996C23×D4C25116yes—
997C23×D4C25116yes—
998C23×D4C25116yes—
999C23×D4C25116yes—
1000C23×D4C25116yes—
1001C23×D4C25116yes—
1002C23×D4C25116yes—
1003C23×D4C25116yes—
1004C23×D4C25116yes—
1005C23×D4C25116yes—
1006C23×D4C25116yes—
1007C23×D4C25116yes—
1008C24×C4C22×D418yes—
1009C24×C4C22×D418yes—
1010C24×C4C22×D418yes—
1011C24×C4C22×D418yes—
1012C24×C4C22×D418yes—
1013C24×C4C22×D418yes—
1014C24×C4C22×D418yes—
1015C24×C4C22×D418yes—
1016C24×C4C22×D418yes—
1017C24×C4C22×D418yes—
1018C24×C4C22×D4196yes—
1019C24×C4C22×D4196yes—
1020C24×C4C22×D418yes—
1021C24×C4C22×D418yes—
1022C24×C4C22×D418yes—
1023C24×C4C22×D418yes—
1024C24×C4C22×D418yes—
1025C24×C4C22×D418yes—
1026C24×C4C22×D418yes—
1027C24×C4C22×D4196yescomplemented
1028C24×C4C22×D4196yescomplemented
1029C24×C4C2×#4118yes—
1030C24×C4C2×#4118yes—
1031C24×C4H(5,𝔽2)18yes—
1032C24×C4H(5,𝔽2)18yes—
1033C24×C4C2516yes—
1034C24×C4C2516yes—
1035C24×C4C2516yes—
1036C24×C4C2516yes—
1037C24×C4C2516yes—
1038C24×C4C2516yes—
1039C24×C4C2516yes—
1040C24×C4C2516yes—
1041C24×C4C2516yes—
1042C24×C4C2516yes—
1043C24×C4C2516yes—
1044C24×C4C2516yes—
1045C24×C4C2516yes—
1046C24×C4C2516yes—
1047C24×C4C2516yes—
1048C24×C4C2516yes—
1049C24×C4C2516yes—
1050C24×C4C2516yes—
1051C24×C4C25116yes—
1052C24×C4C2516yes—
1053C24×C4C2516yes—
1054C24×C4C25116yes—
1055C24×C4C25116yes—
1056C24×C4C25116yes—
1057C24×C4C25116yes—
1058C24×C4C25116yes—
1059C24×C4C25116yes—
1060C24×C4C25116yes—
1061C24×C4C25116yes—
1062C24×C4C25116yes—
1063C24×C4C25116yes—
1064C24×C4C25116yes—
1065C24×C4C2516yes—
1066C24×C4C2516yes—
1067C24×C4C2516yes—
1068C24×C4C25116yes—
1069C2×#121C22×D41512yescomplemented
1070C2×#120C22×D41512yescomplemented
1071C2×C4×D4C22×D41512yescomplemented
1072C22×C4⋊C4C22×D4196yescomplemented
1073C22×C4⋊C4C22×D4196yescomplemented
1074C22×C4⋊C4C25116yes—
1075C22×C4⋊C4C25116yes—
1076C22×C4⋊C4C25116yes—
1077C22×C4⋊C4C25116yes—
1078C22×C4⋊C4C25116yes—
1079C22×C4⋊C4C25116yes—
1080C22×C4⋊C4C25116yes—
1081C22×C4⋊C4C25116yes—
1082C22×C22⋊C4C22×D4196yes—
1083C22×C22⋊C4C22×D4196yes—
1084C22×C22⋊C4C22×D4196yes—
1085C22×C22⋊C4C22×D4196yes—
1086C22×C22⋊C4C22×D4196yes—
1087C22×C22⋊C4C22×D4196yes—
1088C22×C22⋊C4C22×D4196yescomplemented
1089C22×C22⋊C4C22×D4196yescomplemented
1090C22×C22⋊C4C22×D4196yescomplemented
1091C22×C22⋊C4C22×D4196yescomplemented
1092C22×C22⋊C4C25116yes—
1093C22×C22⋊C4C25116yes—
1094C22×C22⋊C4C25116yes—
1095C22×C22⋊C4C25116yes—
1096C22×C22⋊C4C25116yes—
1097C22×C22⋊C4C25116yes—
1098C22×C22⋊C4C25116yes—
1099C22×C22⋊C4C25116yes—
1100C22×C22⋊C4C25116yes—
1101C22×C22⋊C4C25116yes—
1102C22×C22⋊C4C25116yes—
1103C22×C22⋊C4C25116yes—
1104C22×C22⋊C4C25116yes—
1105C22×C22⋊C4C25116yes—
1106C22×C22⋊C4C25116yes—
1107C22×C22⋊C4C25116yes—
1108C22×C22⋊C4C25116yes—
1109C22×C22⋊C4C25116yes—
1110C22×C22⋊C4C25116yes—
1111C22×C22⋊C4C25116yes—
1112C22×C22⋊C4C25116yes—
1113C22×C22⋊C4C25116yes—
1114C22×C22⋊C4C25116yes—
1115C22×C22⋊C4C25116yes—
1116C22×C22⋊C4C25116yes—
1117C22×C22⋊C4C25116yes—
1118C22×C22⋊C4C25116yes—
1119C22×C22⋊C4C25116yes—
1120C22×C22⋊C4C25116yes—
1121C22×C22⋊C4C25116yes—
1122C22×C22⋊C4C25116yes—
1123C22×C22⋊C4C25116yes—
1124C22×C22⋊C4C25116yes—
1125C22×C22⋊C4C25116yes—
1126C22×C22⋊C4C25116yes—
1127C22×C22⋊C4C25116yes—
1128C22×C22⋊C4C25116yes—
1129C22×C22⋊C4C25116yes—
1130C22×C22⋊C4C25116yes—
1131C22×C22⋊C4C25116yes—
1132C22×C22⋊C4C25116yes—
1133C22×C22⋊C4C25116yes—
1134C22×C22⋊C4C25116yes—
1135C22×C22⋊C4C25116yes—
1136C22×C22⋊C4C25116yes—
1137C22×C22⋊C4C25116yes—
1138C22×C22⋊C4C25116yes—
1139C22×C22⋊C4C25116yes—
1140C22×C22⋊C4C25116yes—
1141C22×C22⋊C4C25116yes—
1142C22×C22⋊C4C25116yes—
1143C22×C22⋊C4C25116yes—
1144C22×C22⋊C4C25116yes—
1145C22×C22⋊C4C25116yes—
1146C22×C22⋊C4C25116yes—
1147C22×C22⋊C4C25116yes—
1148C22×C22⋊C4C25116yes—
1149C22×C22⋊C4C25116yes—
1150C22×C22⋊C4C25116yes—
1151C22×C22⋊C4C25116yes—
1152C22×C42C22×D4196yescomplemented
1153C22×C42C25116yes—
1154C22×C42C25116yes—
1155C22×C42C25116yes—
1156#386C22×D41512yescomplemented
1157C2×#95C22×D4196yescomplemented
1158C2×#95C22×D4196yescomplemented
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—
1173C2×#95C25116yes—
1174C2×#95C25116yes—
1175C2×#95C25116yes—
1176C2×#95C25116yes—
1177C2×#95C25116yes—
1178C2×#95C25116yes—
1179C2×#95C25116yes—
1180C2×#95C25116yes—
1181C2×#95C25116yes—
1182C2×#95C25116yes—
1183C2×#95C25116yes—
1184C2×#95C25116yes—
1185C2×#95C25116yes—
1186C2×#95C25116yes—
1187C2×#95C25116yes—
1188C2×#95C25116yes—
1189C2×#95C25116yes—
1190C2×#95C25116yes—
1191C2×#95C25116yes—
1192C2×#95C25116yes—
1193C2×#95C25116yes—
1194C2×#95C25116yes—
1195C2×#95C25116yes—
1196C2×#95C25116yes—
1197C2×#95C25116yes—
1198C2×#95C25116yes—
1199C2×#95C25116yes—
1200C2×#95C25116yes—
1201C2×#95C25116yes—
1202C2×#95C25116yes—
1203C2×#95C25116yes—
1204C2×#95C25116yes—
1205C2×#95C25116yes—
1206C2×#95C25116yes—
1207C25C2×#120164yes—
1208C25C2×#120164yes—
1209C25#525164yes—
1210C25#525164yescomplemented
1211C25#535164yes—
1212C25D42164yes—
1213C25#546164yes—
1214C25#546164yes—
1215C25#546164yes—
1216C25#546164yes—
1217C25#546164yes—
1218C25C23×D4124yes—
1219C25C23×D4124yes—
1220C25C23×D4124yes—
1221C25C23×D4124yes—
1222C25C23×D4124yes—
1223C25C23×D4124yes—
1224C25C23×D4124yes—
1225C25C23×D4124yes—
1226C25C23×D4164yes—
1227C25C23×D4124yes—
1228C25C23×D4124yes—
1229C25C23×D4124yes—
1230C25C23×D414yes—
1231C25C23×D414yes—
1232C25C23×D414yes—
1233C25C23×D414yes—
1234C25C22×#41124yes—
1235C25C22×#41124yes—
1236C25C22×#41124yes—
1237C25C22×#41124yes—
1238C25C22×#41124yes—
1239C25C22×#41124yes—
1240C25C22×#41124yes—
1241C25C22×#4114yes—
1242C25C22×#4114yes—
1243C25C22×#4114yes—
1244C25C22×#41164yescomplemented
1245C25C2×H(5,𝔽2)124yes—
1246C25C2×H(5,𝔽2)124yes—
1247C25C2×H(5,𝔽2)124yes—
1248C25C2×H(5,𝔽2)124yes—
1249C25C2×H(5,𝔽2)14yes—
1250C25C2×H(5,𝔽2)14yes—
1251C25C2×H(5,𝔽2)14yes—
1252C25C2×H(5,𝔽2)14yes—
1253C25C2×H(5,𝔽2)14yes—
1254C25C2×H(5,𝔽2)14yes—
1255C25#58514yes—
1256C25#58514yes—
1257C25C2614yes—
1258C25C2614yes—
1259C25C2614yes—
1260C25C2614yes—
1261C25C2614yes—
1262C25C2614yes—
1263C25C2614yes—
1264C25C2614yes—
1265C25C2613yes—
1266C22×D4C2×#1201768yes—
1267C22×D4C23×D4164yes—
1268C22×D4C23×D4164yes—
1269C22×D4C23×D4164yes—
1270C22×D4C23×D4164yes—
1271C22×D4C23×D4164yes—
1272C22×D4C23×D4164yes—
1273C22×D4C23×D4164yes—
1274C22×D4C23×D4164yescomplemented
1275C22×D4C22×#41164yescomplemented
1276C22×D4C22×#41164yescomplemented
1277C23×C4C2×#120164yes—
1278C23×C4D42164yes—
1279C23×C4D42164yes—
1280C23×C4C23×D4124yes—
1281C23×C4C23×D4124yes—
1282C23×C4C23×D4124yes—
1283C23×C4C23×D4124yes—
1284C23×C4C23×D4124yes—
1285C23×C4C23×D4124yes—
1286C23×C4C23×D4124yes—
1287C23×C4C23×D4124yes—
1288C23×C4C23×D4124yes—
1289C23×C4C23×D4124yes—
1290C23×C4C23×D4164yes—
1291C23×C4C23×D4164yes—
1292C23×C4C23×D4124yes—
1293C23×C4C23×D4124yes—
1294C23×C4C23×D4124yes—
1295C23×C4C23×D4124yes—
1296C23×C4C23×D4124yes—
1297C23×C4C23×D4124yes—
1298C23×C4C23×D4124yes—
1299C23×C4C23×D4164yescomplemented
1300C23×C4C23×D4164yescomplemented
1301C23×C4C22×#41124yes—
1302C23×C4C22×#41124yes—
1303C23×C4C2×H(5,𝔽2)124yes—
1304C23×C4C2×H(5,𝔽2)124yes—
1305C23×C4C2614yes—
1306C23×C4C2614yes—
1307C23×C4C2614yes—
1308C23×C4C2614yes—
1309C23×C4C2614yes—
1310C23×C4C2614yes—
1311C23×C4C2614yes—
1312C23×C4C2614yes—
1313C23×C4C2614yes—
1314C23×C4C2614yes—
1315C23×C4C2614yes—
1316C23×C4C2614yes—
1317C23×C4C2614yes—
1318C23×C4C2614yes—
1319C23×C4C2614yes—
1320C23×C4C2614yes—
1321C23×C4C2614yes—
1322C23×C4C2614yes—
1323C23×C4C2614yes—
1324C23×C4C2614yes—
1325C23×C4C2614yes—
1326C23×C4C2614yes—
1327C23×C4C2614yes—
1328C2×C4⋊C4C23×D4164yescomplemented
1329C2×C4⋊C4C23×D4164yescomplemented
1330C2×C22⋊C4C23×D4164yes—
1331C2×C22⋊C4C23×D4164yes—
1332C2×C22⋊C4C23×D4164yes—
1333C2×C22⋊C4C23×D4164yes—
1334C2×C22⋊C4C23×D4164yes—
1335C2×C22⋊C4C23×D4164yes—
1336C2×C22⋊C4C23×D4164yescomplemented
1337C2×C22⋊C4C23×D4164yescomplemented
1338C2×C22⋊C4C23×D4164yescomplemented
1339C2×C22⋊C4C23×D4164yescomplemented
1340C2×C42C23×D4164yescomplemented
1341#95C23×D4164yescomplemented
1342#95C23×D4164yescomplemented
1343C24#24041512yescomplemented
1344C24C22×#120196yes—
1345C24C22×#120196yes—
1346C24C22×#120116yes—
1347C24C2×#525196yes—
1348C24C2×#525116yes—
1349C24C2×#525116yes—
1350C24C2×#525196yescomplemented
1351C24C2×#535196yes—
1352C24C2×#535116yes—
1353C24#3459116yes—
1354C24C2×D42196yes—
1355C24C2×D42116yes—
1356C24C2×D42116yes—
1357C24C2×D42116yes—
1358C24C2×#546196yes—
1359C24C2×#546196yes—
1360C24C2×#546196yes—
1361C24C2×#546196yes—
1362C24C2×#546196yes—
1363C24C2×#546116yes—
1364C24C2×#546116yes—
1365C24C2×#546116yes—
1366C24C2×#546116yes—
1367C24C2×#546116yes—
1368C24D4×#41116yes—
1369C24D4×#41116yes—
1370C24D4×#41116yes—
1371C24#3481116yes—
1372C24#3484116yes—
1373C24#3484116yes—
1374C24#3484116yes—
1375C24#3484116yes—
1376C24#3485116yes—
1377C24#3488116yes—
1378C24#3488116yes—
1379C24#3488116yes—
1380C24#3490116yes—
1381C24#3490116yes—
1382C24#3505116yes—
1383C24#3513116yes—
1384C24#3519116yes—
1385C24#3519116yes—
1386C24#3534116yes—
1387C24#3537116yes—
1388C24#3542116yes—
1389C24#3542116yes—
1390C24C24×D418yes—
1391C24C24×D418yes—
1392C24C24×D418yes—
1393C24C24×D418yes—
1394C24C24×D418yes—
1395C24C24×D418yes—
1396C24C24×D418yes—
1397C24C24×D418yes—
1398C24C24×D418yes—
1399C24C24×D418yes—
1400C24C24×D418yes—
1401C24C24×D416yes—
1402C24C24×D416yes—
1403C24C24×D416yes—
1404C24C24×D416yes—
1405C24C23×#4118yes—
1406C24C23×#4118yes—
1407C24C23×#4118yes—
1408C24C23×#4118yes—
1409C24C23×#4118yes—
1410C24C23×#4118yes—
1411C24C23×#4118yes—
1412C24C23×#4116yes—
1413C24C23×#4116yes—
1414C24C23×#4116yes—
1415C24C22×H(5,𝔽2)18yes—
1416C24C22×H(5,𝔽2)18yes—
1417C24C22×H(5,𝔽2)18yes—
1418C24C22×H(5,𝔽2)18yes—
1419C24C22×H(5,𝔽2)16yes—
1420C24C22×H(5,𝔽2)16yes—
1421C24C22×H(5,𝔽2)16yes—
1422C24C22×H(5,𝔽2)16yes—
1423C24C22×H(5,𝔽2)16yes—
1424C24C22×H(5,𝔽2)16yes—
1425C24C2×#58516yes—
1426C24C2×#58516yes—
1427C24C2711yescharacteristic
1428C2×D4C22×#1201256yes—
1429C22×C4C22×#120196yes—
1430C22×C4C2×D42196yes—
1431C22×C4C2×D42196yes—
1432C22×C4C24×D418yes—
1433C22×C4C24×D418yes—
1434C22×C4C24×D418yes—
1435C22×C4C24×D418yes—
1436C22×C4C24×D418yes—
1437C22×C4C24×D418yes—
1438C22×C4C24×D418yes—
1439C22×C4C24×D418yes—
1440C22×C4C24×D418yes—
1441C22×C4C24×D418yes—
1442C22×C4C24×D418yes—
1443C22×C4C24×D418yes—
1444C22×C4C24×D418yes—
1445C22×C4C24×D418yes—
1446C22×C4C24×D418yes—
1447C22×C4C24×D418yes—
1448C22×C4C24×D418yes—
1449C22×C4C23×#4118yes—
1450C22×C4C23×#4118yes—
1451C22×C4C22×H(5,𝔽2)18yes—
1452C22×C4C22×H(5,𝔽2)18yes—
1453C23#34655164yes—
1454C23C2×#2404164yes—
1455C23C2×#24041384yescomplemented
1456C23#35352164yes—
1457C23D4×#120164yes—
1458C23#36096164yes—
1459C23#36098164yes—
1460C23#36212164yes—
1461C23#37650164yes—
1462C23#37744164yes—
1463C23#37776164yes—
1464C23#38358164yes—
1465C23#58994164yes—
1466C23#59004164yes—
1467C23#59029164yes—
1468C23#59089164yes—
1469C23C23×#120116yes—
1470C23C23×#120116yes—
1471C23C23×#120112yes—
1472C23C22×#525116yes—
1473C23C22×#525112yes—
1474C23C22×#525112yes—
1475C23C22×#525116yescomplemented
1476C23C2×#3459112yes—
1477C23C22×#535116yes—
1478C23C22×#535112yes—
1479C23C22×D42116yes—
1480C23C22×D42112yes—
1481C23C22×D42112yes—
1482C23C22×D42112yes—
1483C23C22×#546116yes—
1484C23C22×#546116yes—
1485C23C22×#546116yes—
1486C23C22×#546116yes—
1487C23C22×#546116yes—
1488C23C22×#546112yes—
1489C23C22×#546112yes—
1490C23C22×#546112yes—
1491C23C22×#546112yes—
1492C23C22×#546112yes—
1493C23C2×D4×#41112yes—
1494C23C2×D4×#41112yes—
1495C23C2×D4×#41112yes—
1496C23C2×#3481112yes—
1497C23C2×#3542112yes—
1498C23C2×#3542112yes—
1499C23C2×#3534112yes—
1500C23C2×#3537112yes—
1501C23C2×#3484112yes—
1502C23C2×#3484112yes—
1503C23C2×#3484112yes—
1504C23C2×#3484112yes—
1505C23C2×#3490112yes—
1506C23C2×#3490112yes—
1507C23C2×#3505112yes—
1508C23C2×#3513112yes—
1509C23C2×#3519112yes—
1510C23C2×#3519112yes—
1511C23C2×#3485112yes—
1512C23C2×#3488112yes—
1513C23C2×#3488112yes—
1514C23C2×#3488112yes—
1515C23C25×D411yescharacteristic
1516C23C25×D411yescharacteristic
1517C23C25×D411yescharacteristic
1518C23C25×D411yescharacteristic
1519C23C24×#4111yescharacteristic
1520C23C24×#4111yescharacteristic
1521C23C24×#4111yescharacteristic
1522C23C23×H(5,𝔽2)11yescharacteristic
1523C23C23×H(5,𝔽2)11yescharacteristic
1524C23C23×H(5,𝔽2)11yescharacteristic
1525C23C23×H(5,𝔽2)11yescharacteristic
1526C23C23×H(5,𝔽2)11yescharacteristic
1527C23C23×H(5,𝔽2)11yescharacteristic
1528C23C22×#58511yescharacteristic
1529C23C22×#58511yescharacteristic
1530C2×C4C23×#120116yes—
1531C2×C4C22×D42116yes—
1532C2×C4C22×D42116yes—
1533C22#6479381256yesdirect product factor
1534C22C2×#34655124yes—
1535C22C22×#2404124yes—
1536C22C22×#2404132yescomplemented
1537C22C2×#35352124yes—
1538C22C2×D4×#120124yes—
1539C22C2×#36096124yes—
1540C22C2×#36098124yes—
1541C22C2×#36212124yes—
1542C22C2×#37744124yes—
1543C22C2×#37776124yes—
1544C22C2×#37650124yes—
1545C22C2×#38358124yes—
1546C22C2×#59089124yes—
1547C22C2×#59029124yes—
1548C22C2×#58994124yes—
1549C22C2×#59004124yes—
1550C22C24×#12011yescharacteristic
1551C22C23×#52511yescharacteristic
1552C22C23×#52511yescharacteristic
1553C22C22×#345911yescharacteristic
1554C22C23×#53511yescharacteristic
1555C22C23×D4211yescharacteristic
1556C22C23×D4211yescharacteristic
1557C22C23×D4211yescharacteristic
1558C22C23×#54611yescharacteristic
1559C22C23×#54611yescharacteristic
1560C22C23×#54611yescharacteristic
1561C22C23×#54611yescharacteristic
1562C22C23×#54611yescharacteristic
1563C22C22×D4×#4111yescharacteristic
1564C22C22×D4×#4111yescharacteristic
1565C22C22×D4×#4111yescharacteristic
1566C22C22×#348111yescharacteristic
1567C22C22×#348411yescharacteristic
1568C22C22×#348411yescharacteristic
1569C22C22×#348411yescharacteristic
1570C22C22×#348411yescharacteristic
1571C22C22×#349011yescharacteristic
1572C22C22×#349011yescharacteristic
1573C22C22×#350511yescharacteristic
1574C22C22×#351311yescharacteristic
1575C22C22×#351911yescharacteristic
1576C22C22×#351911yescharacteristic
1577C22C22×#348511yescharacteristic
1578C22C22×#348811yescharacteristic
1579C22C22×#348811yescharacteristic
1580C22C22×#348811yescharacteristic
1581C22C22×#354211yescharacteristic
1582C22C22×#354211yescharacteristic
1583C22C22×#353411yescharacteristic
1584C22C22×#353711yescharacteristic
1585C2C22×D4×#12011yescharacteristic
1586C2C22×#3609811yescharacteristic
1587C2C22×#3765011yescharacteristic
1588C2C22×#3609611yescharacteristic
1589C2C22×#5900411yescharacteristic
1590C2C22×#3465511yescharacteristic
1591C2C2×#647938148yesdirect product factor
1592C2C22×#3621211yescharacteristic
1593C2C22×#5899411yescharacteristic
1594C2C23×#240411yescharacteristic
1595C2C22×#5902911yescharacteristic
1596C2C22×#3774411yescharacteristic
1597C2C22×#5908911yescharacteristic
1598C2C22×#3535211yescharacteristic
1599C2C22×#3835811yescharacteristic
1600C2C22×#3777611yescharacteristic
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×#14064C2semidirect
2. C22×#14886C2semidirect
3. C22×#14759C2semidirect
4. C22×#13894C2semidirect
5. C22×#14717C2semidirect
6. C22×#14885C2semidirect
7. C22×#15412C2semidirect
8. C22×#15948C2semidirect
9. C22×#15368C2semidirect
10. C22×#15270C2semidirect
11. C22×#15453C2semidirect
12. C22×#14730C2semidirect
13. C22×#15323C2semidirect
14. C22×#14175C2semidirect
15. C22×#14023C2semidirect
16. C22×#14023C2semidirect
17. C22×#15273C2semidirect
18. C22×#14811C2semidirect
19. C24×#386C2semidirect
20. C23×#2404C2semidirect
21. C22×#15257C2semidirect
22. C23×D4×C22⋊C4C2semidirect
23. C24×#525C2semidirect
24. C23×#2410C2semidirect
25. C22×#14716C2semidirect
26. C22×#13967C2semidirect
27. C22×#13967C2semidirect
28. C22×#13967C2semidirect
29. C22×#14694C2semidirect
30. C2×#647938C2direct (N × H)
31. C22×#14715C2semidirect
32. C23×#2403C2semidirect
33. C25×#41C22semidirect
36. C27×C4C22semidirect
37. C23×#525C22semidirect
38. C24×#123C22semidirect
39. C24×#123C22semidirect
40. C24×C22⋊Q8C22semidirect
41. C24×C22⋊Q8C22semidirect
44. C24×#121C22semidirect
50. C24×#120C22semidirect
51. C24×#120C22semidirect
54. C24×C4×D4C22semidirect
55. C24×C4×D4C22semidirect
56. C24×C4×D4C22semidirect
57. C24×#117C22semidirect
60. C25×C22⋊C4C22semidirect
61. C25×C22⋊C4C22semidirect
62. C22×#2404C22semidirect
63. C22×#2410C22semidirect
64. C22×#2403C22semidirect
65. C23×#394C22semidirect
66. C23×#394C22semidirect
67. C23×#393C22semidirect
68. C23×#393C22semidirect
69. C23×#393C22semidirect
76. C23×#392C22semidirect
77. C23×#392C22semidirect
78. C23×#392C22semidirect
79. C23×#392C22semidirect
80. C23×#392C22semidirect
81. C23×#392C22semidirect
82. C22×D4×C22⋊C4C22semidirect
83. C23×#390C22semidirect
84. C23×#390C22semidirect
97. C23×#386C22semidirect
98. C23×#386C22semidirect
99. C23×#386C22semidirect
100. C23×#386C22semidirect
101. C23×#386C22semidirect
102. C23×#386C22semidirect
103. C23×#386C22semidirect
104. C23×#386C22semidirect
105. C23×#386C22semidirect
106. C23×#386C22semidirect
107. C23×#386C22semidirect
108. C23×#386C22semidirect
109. C23×#386C22semidirect
110. C23×#386C22semidirect
111. C23×#386C22semidirect
112. C23×#386C22semidirect
113. C23×#386C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#386C22semidirect
117. C23×#385C22semidirect
118. C23×#381C22semidirect
119. C23×#380C22semidirect
122. C23×#379C22semidirect
123. C23×#379C22semidirect
124. C23×#379C22semidirect
125. C23×C4×C22⋊C4C22semidirect
126. C24×#95C22semidirect
127. C24×#95C22semidirect
128. #647938C22direct (N × H)
129. C2×#15948C22semidirect
130. C2×#15453C22semidirect
131. C2×#15412C22semidirect
132. C2×#15368C22semidirect
133. C2×#15323C22semidirect
134. C2×#15273C22semidirect
135. C2×#15270C22semidirect
136. C2×#15257C22semidirect
137. C2×#14886C22semidirect
138. C2×#14885C22semidirect
139. C2×#14811C22semidirect
140. C2×#14759C22semidirect
141. C2×#14730C22semidirect
142. C2×#14717C22semidirect
143. C2×#14716C22semidirect
144. C2×#14715C22semidirect
145. C2×#14694C22semidirect
146. C2×#14175C22semidirect
147. C2×#14064C22semidirect
148. C2×#14023C22semidirect
149. C2×#14023C22semidirect
150. C2×#13967C22semidirect
151. C2×#13967C22semidirect
152. C2×#13967C22semidirect
153. C2×#13894C22semidirect
154. C22×#1446C22semidirect
155. C22×#1445C22semidirect
156. C22×#1445C22semidirect
157. C22×#1442C22semidirect
158. C22×#1442C22semidirect
159. C22×#1442C22semidirect
160. C22×#1441C22semidirect
161. C22×#1441C22semidirect
162. C22×#1440C22semidirect
163. C22×#1440C22semidirect
164. C22×#1440C22semidirect
165. C22×#1440C22semidirect
166. C22×#1439C22semidirect
167. C22×#1439C22semidirect
168. C22×#1439C22semidirect
169. C22×#1439C22semidirect
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
179. C22×#1439C22semidirect
180. C22×#1439C22semidirect
181. C22×#1439C22semidirect
182. C22×#1439C22semidirect
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×#1437C22semidirect
198. C22×#1437C22semidirect
199. C22×#1437C22semidirect
200. C22×#1437C22semidirect
201. C22×#1437C22semidirect
202. C22×#1437C22semidirect
203. C22×#1436C22semidirect
204. C22×#1436C22semidirect
205. C22×#1434C22semidirect
206. C22×#1434C22semidirect
207. C22×C22⋊#95C22semidirect
208. C22×C22⋊#95C22semidirect
209. C22×C22⋊#95C22semidirect
210. C22×C22⋊#95C22semidirect
211. C22×C22⋊#95C22semidirect
212. C22×C22⋊#95C22semidirect
213. C22×C22⋊#95C22semidirect
214. C22×C22⋊#95C22semidirect
215. C22×C22⋊#95C22semidirect
216. C22×C22⋊#95C22semidirect
217. C22×C22⋊#95C22semidirect
218. C22×C22⋊#95C22semidirect
219. C22×C22⋊#95C22semidirect
223. C24×#41C23semidirect
259. C26×C4C23semidirect
260. C22×#525C23semidirect
261. C23×#123C23semidirect
262. C23×#123C23semidirect
263. C23×C22⋊Q8C23semidirect
264. C23×C22⋊Q8C23semidirect
265. C23×#121D4semidirect
268. C23×#121C23semidirect
269. C23×#120D4semidirect
275. C23×#120C23semidirect
276. C23×#120C23semidirect
277. C23×C4×D4D4semidirect
280. C23×C4×D4C23semidirect
281. C23×C4×D4C23semidirect
282. C23×C4×D4C23semidirect
283. C23×#117C23semidirect
354. C24×C22⋊C4C23semidirect
355. C24×C22⋊C4C23semidirect
359. C2×#2404C23semidirect
360. C2×#2410C23semidirect
361. C2×#2403C23semidirect
362. C22×#394C23semidirect
363. C22×#394C23semidirect
364. C22×#393C23semidirect
365. C22×#393C23semidirect
366. C22×#393C23semidirect
373. C22×#392C23semidirect
374. C22×#392C23semidirect
375. C22×#392C23semidirect
376. C22×#392C23semidirect
377. C22×#392C23semidirect
378. C22×#392C23semidirect
379. C2×D4×C22⋊C4C23semidirect
380. C22×#390C23semidirect
381. C22×#390C23semidirect
382. C22×#386D4semidirect
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
408. C22×#386C23semidirect
409. C22×#386C23semidirect
410. C22×#386C23semidirect
411. C22×#386C23semidirect
412. C22×#386C23semidirect
413. C22×#386C23semidirect
414. C22×#386C23semidirect
415. C22×#385C23semidirect
416. C22×#381C23semidirect
417. C22×#380C23semidirect
420. C22×#379C23semidirect
421. C22×#379C23semidirect
422. C22×#379C23semidirect
423. C22×C4×C22⋊C4C23semidirect
472. C23×#95C23semidirect
473. C23×#95C23semidirect
474. #15948C23semidirect
475. #15453C23semidirect
476. #15412C23semidirect
477. #15368C23semidirect
478. #15323C23semidirect
479. #15273C23semidirect
480. #15270C23semidirect
481. #15257C23semidirect
482. #14886C23semidirect
483. #14885C23semidirect
484. #14811C23semidirect
485. #14759C23semidirect
486. #14730C23semidirect
487. #14717C23semidirect
488. #14716C23semidirect
489. #14715C23semidirect
490. #14694C23semidirect
491. #14175C23semidirect
492. #14064C23semidirect
493. #14023C23semidirect
494. #14023C23semidirect
495. #13967C23semidirect
496. #13967C23semidirect
497. #13967C23semidirect
498. #13894C23semidirect
499. C2×#1446C23semidirect
500. C2×#1445C23semidirect
501. C2×#1445C23semidirect
502. C2×#1442C23semidirect
503. C2×#1442C23semidirect
504. C2×#1442C23semidirect
505. C2×#1441C23semidirect
506. C2×#1441C23semidirect
507. C2×#1440C23semidirect
508. C2×#1440C23semidirect
509. C2×#1440C23semidirect
510. C2×#1440C23semidirect
511. C2×#1439C23semidirect
512. C2×#1439C23semidirect
513. C2×#1439C23semidirect
514. C2×#1439C23semidirect
515. C2×#1439C23semidirect
516. C2×#1439C23semidirect
517. C2×#1439C23semidirect
518. C2×#1439C23semidirect
519. C2×#1439C23semidirect
520. C2×#1439C23semidirect
521. C2×#1439C23semidirect
522. C2×#1439C23semidirect
523. C2×#1439C23semidirect
524. C2×#1439C23semidirect
525. C2×#1439C23semidirect
526. C2×#1439C23semidirect
527. 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. C2×#1437C23semidirect
543. C2×#1437C23semidirect
544. C2×#1437C23semidirect
545. C2×#1437C23semidirect
546. C2×#1437C23semidirect
547. C2×#1437C23semidirect
548. C2×#1436C23semidirect
549. C2×#1436C23semidirect
550. C2×#1434C23semidirect
551. C2×#1434C23semidirect
552. C2×C22⋊#95C23semidirect
553. C2×C22⋊#95C23semidirect
554. C2×C22⋊#95C23semidirect
555. C2×C22⋊#95C23semidirect
556. C2×C22⋊#95C23semidirect
557. C2×C22⋊#95C23semidirect
558. C2×C22⋊#95C23semidirect
559. C2×C22⋊#95C23semidirect
560. C2×C22⋊#95C23semidirect
561. C2×C22⋊#95C23semidirect
562. C2×C22⋊#95C23semidirect
563. C2×C22⋊#95C23semidirect
564. C2×C22⋊#95C23semidirect
566. C27#41semidirect
578. C23×#41C24semidirect
587. C24×D4C2×D4semidirect
588. C24×D4#41semidirect
589. C24×D4#41semidirect
613. C25×C4C2×D4semidirect
614. C25×C4C2×D4semidirect
651. C25×C4C24semidirect
652. C22×#123C24semidirect
653. C22×#123C24semidirect
654. C22×C22⋊Q8C24semidirect
655. C22×C22⋊Q8C24semidirect
656. C22×#121C2×D4semidirect
659. C22×#121C24semidirect
660. C22×#120C2×D4semidirect
666. C22×#120C24semidirect
667. C22×#120C24semidirect
668. C22×C4×D4C2×D4semidirect
671. C22×C4×D4C24semidirect
672. C22×C4×D4C24semidirect
673. C22×C4×D4C24semidirect
674. C22×#117C24semidirect
675. C23×C4⋊C4C2×D4semidirect
676. C23×C4⋊C4C2×D4semidirect
691. C23×C22⋊C4C2×D4semidirect
692. C23×C22⋊C4C2×D4semidirect
693. C23×C22⋊C4C2×D4semidirect
694. C23×C22⋊C4C2×D4semidirect
757. C23×C22⋊C4C24semidirect
758. C23×C22⋊C4C24semidirect
759. C23×C42C2×D4semidirect
763. C2×#394C24semidirect
764. C2×#394C24semidirect
765. C2×#393C24semidirect
766. C2×#393C24semidirect
767. C2×#393C24semidirect
774. C2×#392C24semidirect
775. C2×#392C24semidirect
776. C2×#392C24semidirect
777. C2×#392C24semidirect
778. C2×#392C24semidirect
779. C2×#392C24semidirect
780. C2×#390C24semidirect
781. C2×#390C24semidirect
782. C2×#386C2×D4semidirect
795. C2×#386C24semidirect
796. C2×#386C24semidirect
797. C2×#386C24semidirect
798. C2×#386C24semidirect
799. C2×#386C24semidirect
800. C2×#386C24semidirect
801. C2×#386C24semidirect
802. C2×#386C24semidirect
803. C2×#386C24semidirect
804. C2×#386C24semidirect
805. C2×#386C24semidirect
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×#385C24semidirect
815. C2×#381C24semidirect
816. C2×#380C24semidirect
819. C2×#379C24semidirect
820. C2×#379C24semidirect
821. C2×#379C24semidirect
822. C2×C4×C22⋊C4C24semidirect
823. C22×#95C2×D4semidirect
824. C22×#95C2×D4semidirect
873. C22×#95C24semidirect
874. C22×#95C24semidirect
875. #1446C24semidirect
876. #1445C24semidirect
877. #1445C24semidirect
878. #1442C24semidirect
879. #1442C24semidirect
880. #1442C24semidirect
881. #1441C24semidirect
882. #1441C24semidirect
883. #1440C24semidirect
884. #1440C24semidirect
885. #1440C24semidirect
886. #1440C24semidirect
887. #1439C24semidirect
888. #1439C24semidirect
889. #1439C24semidirect
890. #1439C24semidirect
891. #1439C24semidirect
892. #1439C24semidirect
893. #1439C24semidirect
894. #1439C24semidirect
895. #1439C24semidirect
896. #1439C24semidirect
897. #1439C24semidirect
898. #1439C24semidirect
899. #1439C24semidirect
900. #1439C24semidirect
901. #1439C24semidirect
902. #1439C24semidirect
903. #1439C24semidirect
906. #1438C24semidirect
907. #1438C24semidirect
908. #1438C24semidirect
909. #1438C24semidirect
910. #1438C24semidirect
911. #1438C24semidirect
912. #1438C24semidirect
913. #1438C24semidirect
914. #1438C24semidirect
915. #1438C24semidirect
916. #1438C24semidirect
917. #1438C24semidirect
918. #1437C24semidirect
919. #1437C24semidirect
920. #1437C24semidirect
921. #1437C24semidirect
922. #1437C24semidirect
923. #1437C24semidirect
924. #1436C24semidirect
925. #1436C24semidirect
926. #1434C24semidirect
927. #1434C24semidirect
928. C22⋊#95C24semidirect
929. C22⋊#95C24semidirect
930. C22⋊#95C24semidirect
931. C22⋊#95C24semidirect
932. C22⋊#95C24semidirect
933. C22⋊#95C24semidirect
934. C22⋊#95C24semidirect
935. C22⋊#95C24semidirect
936. C22⋊#95C24semidirect
937. C22⋊#95C24semidirect
938. C22⋊#95C24semidirect
939. C22⋊#95C24semidirect
940. C22⋊#95C24semidirect
960. C26C2×#41semidirect
986. C23×D4C22×D4semidirect
987. C23×D4C2×#41semidirect
988. C23×D4C2×#41semidirect
1027. C24×C4C22×D4semidirect
1028. C24×C4C22×D4semidirect
1069. C2×#121C22×D4semidirect
1070. C2×#120C22×D4semidirect
1071. C2×C4×D4C22×D4semidirect
1072. C22×C4⋊C4C22×D4semidirect
1073. C22×C4⋊C4C22×D4semidirect
1088. C22×C22⋊C4C22×D4semidirect
1089. C22×C22⋊C4C22×D4semidirect
1090. C22×C22⋊C4C22×D4semidirect
1091. C22×C22⋊C4C22×D4semidirect
1152. C22×C42C22×D4semidirect
1156. #386C22×D4semidirect
1157. C2×#95C22×D4semidirect
1158. C2×#95C22×D4semidirect
1210. C25#525semidirect
1244. C25C22×#41semidirect
1274. C22×D4C23×D4semidirect
1275. C22×D4C22×#41semidirect
1276. C22×D4C22×#41semidirect
1299. C23×C4C23×D4semidirect
1300. C23×C4C23×D4semidirect
1328. C2×C4⋊C4C23×D4semidirect
1329. C2×C4⋊C4C23×D4semidirect
1336. C2×C22⋊C4C23×D4semidirect
1337. C2×C22⋊C4C23×D4semidirect
1338. C2×C22⋊C4C23×D4semidirect
1339. C2×C22⋊C4C23×D4semidirect
1340. C2×C42C23×D4semidirect
1341. #95C23×D4semidirect
1342. #95C23×D4semidirect
1343. C24#2404semidirect
1350. C24C2×#525semidirect
1455. C23C2×#2404semidirect
1475. C23C22×#525semidirect
1533. C22#647938direct (N × H)
1536. C22C22×#2404semidirect
1591. C2C2×#647938direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#140642
C22×#148862
C22×#147592
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C22×#140232
C22×#152732
C22×#148112
C24×#3862
C23×#24042
C22×#152572
C23×D4×C22⋊C42
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C23×#24102
C22×#147162
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C2×#6479382
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C23×#24032