Finite Group Databasebeta

← C2×#72278157 #72296470

Subgroups — C2×#72278157 #72296470

Order 2048.

At least 19566 conjugacy classes of subgroups; only the 8992 normal subgroups are shown.

The subgroup lattice has 1804 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#155935C211yesmaximal, characteristic, complemented
2C2×#159025C211yesmaximal, characteristic, complemented
3C2×#157600C211yesmaximal, characteristic, complemented
4C2×#154686C211yesmaximal, characteristic, complemented
5C2×#158823C211yesmaximal, characteristic, complemented
6C2×#159034C211yesmaximal, characteristic, complemented
7C2×#156816C211yesmaximal, characteristic, complemented
8C2×#156815C211yesmaximal, characteristic, complemented
9C2×#156857C211yesmaximal, characteristic, complemented
10C2×#156826C211yesmaximal, characteristic, complemented
11C2×#156826C211yesmaximal, characteristic, complemented
12C2×#155065C211yesmaximal, characteristic, complemented
13C2×#155941C211yesmaximal, characteristic, complemented
14C22×#14572C211yesmaximal, characteristic, complemented
15C22×#15273C211yesmaximal, characteristic, complemented
16#72278157C2132yesmaximal, direct product factor
17C22×#15257C211yesmaximal, characteristic, complemented
18C22×#15257C211yesmaximal, characteristic, complemented
19C22×#15257C211yesmaximal, characteristic, complemented
20C2×#154670C211yesmaximal, characteristic, complemented
21C2×#154670C211yesmaximal, characteristic, complemented
22C22×#14716C211yesmaximal, characteristic, complemented
23C2×#156709C211yesmaximal, characteristic, complemented
24C2×#156688C211yesmaximal, characteristic, complemented
25C2×#156688C211yesmaximal, characteristic, complemented
26C2×#154094C211yesmaximal, characteristic, complemented
27C2×#156706C211yesmaximal, characteristic, complemented
28C2×#154195C211yesmaximal, characteristic, complemented
29C22×#13867C211yesmaximal, characteristic, complemented
30C22×#14715C211yesmaximal, characteristic, complemented
31C22×#14715C211yesmaximal, characteristic, complemented
32C23×#2403C211yesmaximal, characteristic, complemented
33C26×D4C2211yescharacteristic
34C26×D4C2211yescharacteristic
35C24×#121C2211yescharacteristic, complemented
36C24×#121C2211yescharacteristic, complemented
37C24×#120C2211yescharacteristic
38C24×#120C2211yescharacteristic
39C24×#120C2211yescharacteristic
40C24×#120C2211yescharacteristic
41C24×#120C2211yescharacteristic
42C24×#120C2211yescharacteristic, complemented
43C24×#120C2211yescharacteristic, complemented
44C25×C22⋊C4C2211yescharacteristic, complemented
45C22×#2403C22116yescomplemented
46C23×#394C2211yescharacteristic, complemented
47C23×#392C2211yescharacteristic
48C23×#392C2211yescharacteristic
49C23×#392C2211yescharacteristic
50C23×#392C2211yescharacteristic
51C23×#392C2211yescharacteristic
52C23×#392C2211yescharacteristic
53C23×#392C2211yescharacteristic
54C23×#392C2211yescharacteristic
55C23×#392C2211yescharacteristic, complemented
56C23×#392C2211yescharacteristic, complemented
57C23×#392C2211yescharacteristic, complemented
58C23×#392C2211yescharacteristic, complemented
59C23×#392C2211yescharacteristic, complemented
60C23×#392C2211yescharacteristic, complemented
61C23×#386C2211yescharacteristic
62C23×#386C2211yescharacteristic
63C23×#386C2211yescharacteristic
64C23×#386C2211yescharacteristic
65C23×#386C2211yescharacteristic
66C23×#386C2211yescharacteristic
67C23×#386C2211yescharacteristic, complemented
68C23×#386C2211yescharacteristic, complemented
69C23×#386C2211yescharacteristic, complemented
70C23×#386C2211yescharacteristic, complemented
71C23×#386C2211yescharacteristic, complemented
72C23×#386C2211yescharacteristic, complemented
73C23×#386C2211yescharacteristic, complemented
74C23×#386C2211yescharacteristic, complemented
75C23×#386C2211yescharacteristic, complemented
76C23×#386C2211yescharacteristic, complemented
77C23×#386C2211yescharacteristic, complemented
78C23×#386C2211yescharacteristic, complemented
79C23×#386C2211yescharacteristic, complemented
80C23×#379C2211yescharacteristic
81C23×#379C2211yescharacteristic
82C23×#379C2211yescharacteristic
83C23×#379C2211yescharacteristic
84C23×#379C2211yescharacteristic, complemented
85C23×#379C2211yescharacteristic, complemented
86C23×#379C2211yescharacteristic, complemented
87C23×#379C2211yescharacteristic, complemented
88C23×#379C2211yescharacteristic, complemented
89C2×#15273C22116yescomplemented
90C2×#15257C22116yescomplemented
91C2×#15257C22116yescomplemented
92C2×#15257C22116yescomplemented
93C2×#14716C22116yescomplemented
94C2×#14715C22116yescomplemented
95C2×#14715C22116yescomplemented
96C2×#14572C22116yescomplemented
97C2×#13867C22116yescomplemented
98C22×#1443C2211yescharacteristic, complemented
99C22×#1443C2211yescharacteristic, complemented
100C22×#1442C2211yescharacteristic, complemented
101C22×#1440C2211yescharacteristic, complemented
102C22×#1440C2211yescharacteristic, complemented
103C22×#1440C2211yescharacteristic, complemented
104C22×#1440C2211yescharacteristic, complemented
105C22×#1440C2211yescharacteristic, complemented
106C22×#1440C2211yescharacteristic, complemented
107C22×#1439C2211yescharacteristic, complemented
108C22×#1439C2211yescharacteristic, complemented
109C22×#1439C2211yescharacteristic, complemented
110C22×#1439C2211yescharacteristic, complemented
111C22×#1439C2211yescharacteristic, complemented
112C22×#1439C2211yescharacteristic, complemented
113C22×#1439C2211yescharacteristic, complemented
114C22×#1439C2211yescharacteristic, complemented
115C22×#1439C2211yescharacteristic, complemented
116C22×#1439C2211yescharacteristic, complemented
117C22×#1439C2211yescharacteristic, complemented
118C22×#1439C2211yescharacteristic, complemented
119C22×#1439C2211yescharacteristic, complemented
120C22×#1439C2211yescharacteristic, complemented
121C22×#1439C2211yescharacteristic, complemented
122C22×#1439C2211yescharacteristic, complemented
123C22×#1438C2211yescharacteristic
124C22×#1438C2211yescharacteristic
125C22×#1438C2211yescharacteristic
126C22×#1438C2211yescharacteristic
127C22×#1438C2211yescharacteristic
128C22×#1438C2211yescharacteristic
129C22×#1438C2211yescharacteristic
130C22×#1438C2211yescharacteristic
131C22×#1438C2211yescharacteristic
132C22×#1438C2211yescharacteristic
133C22×#1438C2211yescharacteristic, complemented
134C22×#1438C2211yescharacteristic, complemented
135C22×#1438C2211yescharacteristic, complemented
136C22×#1438C2211yescharacteristic, complemented
137C22×#1438C2211yescharacteristic, complemented
138C22×#1438C2211yescharacteristic, complemented
139C22×#1438C2211yescharacteristic, complemented
140C22×#1438C2211yescharacteristic, complemented
141C22×#1438C2211yescharacteristic, complemented
142C22×#1438C2211yescharacteristic, complemented
143C22×#1438C2211yescharacteristic, complemented
144C22×#1438C2211yescharacteristic, complemented
145C22×#1438C2211yescharacteristic, complemented
146C22×#1438C2211yescharacteristic, complemented
147C22×#1438C2211yescharacteristic, complemented
148C22×#1438C2211yescharacteristic, complemented
149C22×#1438C2211yescharacteristic, complemented
150C22×#1438C2211yescharacteristic, complemented
151C22×#1438C2211yescharacteristic, complemented
152C22×#1438C2211yescharacteristic, complemented
153C22×#1438C2211yescharacteristic, complemented
154C22×#1438C2211yescharacteristic, complemented
155C22×#1438C2211yescharacteristic, complemented
156C22×#1438C2211yescharacteristic, complemented
157C22×#1438C2211yescharacteristic, complemented
158C22×#1438C2211yescharacteristic, complemented
159C22×C22⋊#95C2211yescharacteristic, complemented
160C22×C22⋊#95C2211yescharacteristic, complemented
161C22×C22⋊#95C2211yescharacteristic, complemented
162C22×C22⋊#95C2211yescharacteristic, complemented
163C22×C22⋊#95C2211yescharacteristic, complemented
164C22×C22⋊#95C2211yescharacteristic, complemented
165C22×C22⋊#95C2211yescharacteristic, complemented
166C22×C22⋊#95C2211yescharacteristic, complemented
167C22×C22⋊#95C2211yescharacteristic, complemented
168C22×C22⋊#95C2211yescharacteristic, complemented
169#159034C22116yescomplemented
170#159025C22116yescomplemented
171#158823C22116yescomplemented
172#157600C22116yescomplemented
173#156857C22116yescomplemented
174#156826C22116yescomplemented
175#156826C22116yescomplemented
176#156816C22116yescomplemented
177#156815C22116yescomplemented
178#156709C22116yescomplemented
179#156706C22116yescomplemented
180#156688C22116yescomplemented
181#156688C22116yescomplemented
182#155941C22116yescomplemented
183#155935C22116yescomplemented
184#155065C22116yescomplemented
185#154686C22116yescomplemented
186#154670C22116yescomplemented
187#154670C22116yescomplemented
188#154195C22116yescomplemented
189#154094C22116yescomplemented
190C2×#7557C2211yescharacteristic, complemented
191C2×#7556C2211yescharacteristic, complemented
192C2×#7556C2211yescharacteristic, complemented
193C2×#7556C2211yescharacteristic, complemented
194C2×#7556C2211yescharacteristic, complemented
195C2×#7556C2211yescharacteristic, complemented
196C2×#7556C2211yescharacteristic, complemented
197C2×#7556C2211yescharacteristic, complemented
198C2×#7556C2211yescharacteristic, complemented
199C2×#7555C2211yescharacteristic, complemented
200C2×#7555C2211yescharacteristic, complemented
201C2×#7555C2211yescharacteristic, complemented
202C2×#7555C2211yescharacteristic, complemented
203C2×#7555C2211yescharacteristic, complemented
204C2×#7555C2211yescharacteristic, complemented
205C2×#7555C2211yescharacteristic, complemented
206C2×#7555C2211yescharacteristic, complemented
207C2×#7555C2211yescharacteristic, complemented
208C2×#7555C2211yescharacteristic, complemented
209C2×#7555C2211yescharacteristic, complemented
210C2×#7555C2211yescharacteristic, complemented
211C2×#7555C2211yescharacteristic, complemented
212C2×#7555C2211yescharacteristic, complemented
213C2×#7555C2211yescharacteristic, complemented
214C2×#7555C2211yescharacteristic, complemented
215C2×#7555C2211yescharacteristic, complemented
216C2×#7555C2211yescharacteristic, complemented
217C2×#7555C2211yescharacteristic, complemented
218C2×#7555C2211yescharacteristic, complemented
219C28C2311yescharacteristic
220C28C2311yescharacteristic
221C28C2311yescharacteristic
222C25×D4C2311yescharacteristic
223C25×D4C2311yescharacteristic
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×D4C2318yes—
239C25×D4C2311yescharacteristic
240C25×D4C2311yescharacteristic
241C25×D4C2311yescharacteristic
242C25×D4C2318yes—
243C26×C4C2311yescharacteristic
244C26×C4C2311yescharacteristic
245C26×C4C2311yescharacteristic
246C26×C4C2311yescharacteristic
247C26×C4C2311yescharacteristic
248C23×#121C2318yescomplemented
249C23×#121C2318yescomplemented
250C23×#120D4116yescomplemented
251C23×#120C2318yes—
252C23×#120C2318yes—
253C23×#120C2318yes—
254C23×#120C2318yes—
255C23×#120C2318yes—
256C23×#120C2318yescomplemented
257C23×#120C2318yescomplemented
258C24×C4⋊C4C2311yescharacteristic
259C24×C4⋊C4C2311yescharacteristic
260C24×C4⋊C4C2311yescharacteristic
261C24×C22⋊C4C2311yescharacteristic
262C24×C22⋊C4C2311yescharacteristic
263C24×C22⋊C4C2311yescharacteristic
264C24×C22⋊C4C2311yescharacteristic
265C24×C22⋊C4C2311yescharacteristic
266C24×C22⋊C4C2311yescharacteristic
267C24×C22⋊C4C2311yescharacteristic
268C24×C22⋊C4C2311yescharacteristic
269C24×C22⋊C4C2311yescharacteristic
270C24×C22⋊C4C2311yescharacteristic
271C24×C22⋊C4C2311yescharacteristic
272C24×C22⋊C4C2311yescharacteristic
273C24×C22⋊C4C2311yescharacteristic
274C24×C22⋊C4C2311yescharacteristic
275C24×C22⋊C4C2311yescharacteristic
276C24×C22⋊C4C2311yescharacteristic
277C24×C22⋊C4C2311yescharacteristic
278C24×C22⋊C4C2311yescharacteristic
279C24×C22⋊C4C2311yescharacteristic
280C24×C22⋊C4C2311yescharacteristic
281C24×C22⋊C4C2311yescharacteristic
282C24×C22⋊C4C2311yescharacteristic
283C24×C22⋊C4C2311yescharacteristic
284C24×C22⋊C4C2311yescharacteristic
285C24×C22⋊C4C2311yescharacteristic
286C24×C22⋊C4C2311yescharacteristic
287C24×C22⋊C4C2311yescharacteristic
288C24×C22⋊C4C2311yescharacteristic
289C24×C22⋊C4C2311yescharacteristic
290C24×C22⋊C4C2311yescharacteristic
291C24×C22⋊C4C2311yescharacteristic
292C24×C22⋊C4C2311yescharacteristic
293C24×C22⋊C4C2311yescharacteristic
294C24×C22⋊C4C2311yescharacteristic
295C24×C22⋊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⋊C4C2318yescomplemented
330C22×#394C2318yescomplemented
331C22×#392D4116yescomplemented
332C22×#392D4116yescomplemented
333C22×#392D4116yescomplemented
334C22×#392C2318yes—
335C22×#392C2318yes—
336C22×#392C2318yes—
337C22×#392C2318yes—
338C22×#392C2318yes—
339C22×#392C2318yes—
340C22×#392C2318yes—
341C22×#392C2318yes—
342C22×#392C2318yescomplemented
343C22×#392C2318yescomplemented
344C22×#392C2318yescomplemented
345C22×#392C2318yescomplemented
346C22×#392C2318yescomplemented
347C22×#392C2318yescomplemented
348C22×#386D4116yescomplemented
349C22×#386C2318yes—
350C22×#386C2318yes—
351C22×#386C2318yes—
352C22×#386C2318yes—
353C22×#386C2318yes—
354C22×#386C2318yes—
355C22×#386C2318yescomplemented
356C22×#386C2318yescomplemented
357C22×#386C2318yescomplemented
358C22×#386C2318yescomplemented
359C22×#386C2318yescomplemented
360C22×#386C2318yescomplemented
361C22×#386C2318yescomplemented
362C22×#386C2318yescomplemented
363C22×#386C2318yescomplemented
364C22×#386C2318yescomplemented
365C22×#386C2318yescomplemented
366C22×#386C2318yescomplemented
367C22×#386C2318yescomplemented
368C22×#379C2318yes—
369C22×#379C2318yes—
370C22×#379C2318yes—
371C22×#379C2318yes—
372C22×#379C2318yescomplemented
373C22×#379C2318yescomplemented
374C22×#379C2318yescomplemented
375C22×#379C2318yescomplemented
376C22×#379C2318yescomplemented
377C23×#95C2311yescharacteristic
378C23×#95C2311yescharacteristic
379C23×#95C2311yescharacteristic
380C23×#95C2311yescharacteristic
381C23×#95C2311yescharacteristic
382C23×#95C2311yescharacteristic
383C23×#95C2311yescharacteristic
384C23×#95C2311yescharacteristic
385C23×#95C2311yescharacteristic
386C23×#95C2311yescharacteristic
387C23×#95C2311yescharacteristic
388C23×#95C2311yescharacteristic
389C23×#95C2311yescharacteristic
390C23×#95C2311yescharacteristic
391C23×#95C2311yescharacteristic
392C23×#95C2311yescharacteristic
393C23×#95C2311yescharacteristic
394C23×#95C2311yescharacteristic
395C23×#95C2311yescharacteristic
396C23×#95C2311yescharacteristic
397C23×#95C2311yescharacteristic
398C23×#95C2311yescharacteristic
399C23×#95C2311yescharacteristic
400C23×#95C2311yescharacteristic
401C23×#95C2311yescharacteristic
402C23×#95C2311yescharacteristic
403C23×#95C2311yescharacteristic
404C23×#95C2311yescharacteristic
405C23×#95C2311yescharacteristic
406C23×#95C2311yescharacteristic
407C23×#95C2311yescharacteristic
408C23×#95C2311yescharacteristic
409C23×#95C2311yescharacteristic
410C23×#95C2311yescharacteristic
411C23×#95C2311yescharacteristic
412C23×#95C2311yescharacteristic
413C23×#95C2311yescharacteristic
414C23×#95C2311yescharacteristic
415C23×#95C2311yescharacteristic
416C23×#95C2311yescharacteristic
417C23×#95C2311yescharacteristic
418C23×#95C2311yescharacteristic
419C23×#95C2311yescharacteristic
420C23×#95C2311yescharacteristic
421C23×#95C2311yescharacteristic
422C23×#95C2311yescharacteristic
423C23×#95C2311yescharacteristic
424C23×#95C2311yescharacteristic
425C23×#95C2311yescharacteristic
426C23×#95C2311yescharacteristic
427C23×#95C2311yescharacteristic
428C23×#95C2311yescharacteristic
429C23×#95C2311yescharacteristic
430C23×#95C2311yescharacteristic
431C23×#95C2311yescharacteristic
432C23×#95C2311yescharacteristic
433C23×#95C2311yescharacteristic
434C2×#1443C2318yescomplemented
435C2×#1443C2318yescomplemented
436C2×#1442C2318yescomplemented
437C2×#1440C2318yescomplemented
438C2×#1440C2318yescomplemented
439C2×#1440C2318yescomplemented
440C2×#1440C2318yescomplemented
441C2×#1440C2318yescomplemented
442C2×#1440C2318yescomplemented
443C2×#1439C2318yescomplemented
444C2×#1439C2318yescomplemented
445C2×#1439C2318yescomplemented
446C2×#1439C2318yescomplemented
447C2×#1439C2318yescomplemented
448C2×#1439C2318yescomplemented
449C2×#1439C2318yescomplemented
450C2×#1439C2318yescomplemented
451C2×#1439C2318yescomplemented
452C2×#1439C2318yescomplemented
453C2×#1439C2318yescomplemented
454C2×#1439C2318yescomplemented
455C2×#1439C2318yescomplemented
456C2×#1439C2318yescomplemented
457C2×#1439C2318yescomplemented
458C2×#1439C2318yescomplemented
459C2×#1438D4116yescomplemented
460C2×#1438C2318yes—
461C2×#1438C2318yes—
462C2×#1438C2318yes—
463C2×#1438C2318yes—
464C2×#1438C2318yes—
465C2×#1438C2318yes—
466C2×#1438C2318yes—
467C2×#1438C2318yes—
468C2×#1438C2318yes—
469C2×#1438C2318yes—
470C2×#1438C2318yescomplemented
471C2×#1438C2318yescomplemented
472C2×#1438C2318yescomplemented
473C2×#1438C2318yescomplemented
474C2×#1438C2318yescomplemented
475C2×#1438C2318yescomplemented
476C2×#1438C2318yescomplemented
477C2×#1438C2318yescomplemented
478C2×#1438C2318yescomplemented
479C2×#1438C2318yescomplemented
480C2×#1438C2318yescomplemented
481C2×#1438C2318yescomplemented
482C2×#1438C2318yescomplemented
483C2×#1438C2318yescomplemented
484C2×#1438C2318yescomplemented
485C2×#1438C2318yescomplemented
486C2×#1438C2318yescomplemented
487C2×#1438C2318yescomplemented
488C2×#1438C2318yescomplemented
489C2×#1438C2318yescomplemented
490C2×#1438C2318yescomplemented
491C2×#1438C2318yescomplemented
492C2×#1438C2318yescomplemented
493C2×#1438C2318yescomplemented
494C2×#1438C2318yescomplemented
495C2×#1438C2318yescomplemented
496C2×C22⋊#95C2318yescomplemented
497C2×C22⋊#95C2318yescomplemented
498C2×C22⋊#95C2318yescomplemented
499C2×C22⋊#95C2318yescomplemented
500C2×C22⋊#95C2318yescomplemented
501C2×C22⋊#95C2318yescomplemented
502C2×C22⋊#95C2318yescomplemented
503C2×C22⋊#95C2318yescomplemented
504C2×C22⋊#95C2318yescomplemented
505C2×C22⋊#95C2318yescomplemented
506#7557C2318yescomplemented
507#7556C2318yescomplemented
508#7556C2318yescomplemented
509#7556C2318yescomplemented
510#7556C2318yescomplemented
511#7556C2318yescomplemented
512#7556C2318yescomplemented
513#7556C2318yescomplemented
514#7556C2318yescomplemented
515#7555C2318yescomplemented
516#7555C2318yescomplemented
517#7555C2318yescomplemented
518#7555C2318yescomplemented
519#7555C2318yescomplemented
520#7555C2318yescomplemented
521#7555C2318yescomplemented
522#7555C2318yescomplemented
523#7555C2318yescomplemented
524#7555C2318yescomplemented
525#7555C2318yescomplemented
526#7555C2318yescomplemented
527#7555C2318yescomplemented
528#7555C2318yescomplemented
529#7555C2318yescomplemented
530#7555C2318yescomplemented
531#7555C2318yescomplemented
532#7555C2318yescomplemented
533#7555C2318yescomplemented
534#7555C2318yescomplemented
535C27C2×D418yes—
536C27#4118yes—
537C27C2411yescharacteristic
538C27C2411yescharacteristic
539C27C2411yescharacteristic
540C27C2411yescharacteristic
541C27C2411yescharacteristic
542C27C2411yescharacteristic
543C27C2411yescharacteristic
544C27C2411yescharacteristic
545C27C2414yes—
546C27C2414yes—
547C27C2414yes—
548C24×D4C2×D418yes—
549C24×D4C2×D418yes—
550C24×D4C2×D418yes—
551C24×D4C2×D418yes—
552C24×D4C2×D418yes—
553C24×D4C2×D418yes—
554C24×D4C2×D418yes—
555C24×D4C2×D418yes—
556C24×D4C2×D418yes—
557C24×D4C2×D418yes—
558C24×D4C2×D418yes—
559C24×D4C2×D418yes—
560C24×D4C2×D418yescomplemented
561C24×D4C2×D418yescomplemented
562C24×D4#4118yes—
563C24×D4C2414yes—
564C24×D4C2414yes—
565C24×D4C2414yes—
566C24×D4C2414yes—
567C24×D4C2414yes—
568C24×D4C2414yes—
569C24×D4C2414yes—
570C24×D4C2414yes—
571C24×D4C2414yes—
572C24×D4C2414yes—
573C24×D4C2414yes—
574C24×D4C2414yes—
575C24×D4C2414yes—
576C24×D4C2414yes—
577C24×D4C2414yes—
578C24×D4C2414yes—
579C24×D4C2414yes—
580C24×D4C2414yes—
581C24×D4C2414yes—
582C25×C4C2×D418yes—
583C25×C4C2411yescharacteristic
584C25×C4C2411yescharacteristic
585C25×C4C2411yescharacteristic
586C25×C4C2411yescharacteristic
587C25×C4C2411yescharacteristic
588C25×C4C2411yescharacteristic
589C25×C4C2411yescharacteristic
590C25×C4C2411yescharacteristic
591C25×C4C2411yescharacteristic
592C25×C4C2411yescharacteristic
593C25×C4C2411yescharacteristic
594C25×C4C2411yescharacteristic
595C25×C4C2411yescharacteristic
596C25×C4C2411yescharacteristic
597C25×C4C2411yescharacteristic
598C25×C4C2411yescharacteristic
599C25×C4C2411yescharacteristic
600C25×C4C2411yescharacteristic
601C25×C4C2411yescharacteristic
602C25×C4C2411yescharacteristic
603C25×C4C2411yescharacteristic
604C25×C4C2411yescharacteristic
605C25×C4C2411yescharacteristic
606C25×C4C2414yes—
607C25×C4C2414yes—
608C25×C4C2414yes—
609C25×C4C2414yes—
610C25×C4C2414yes—
611C22×#120C2×D4164yescomplemented
612C23×C4⋊C4C2414yes—
613C23×C4⋊C4C2414yes—
614C23×C4⋊C4C2414yes—
615C23×C22⋊C4C2×D418yes—
616C23×C22⋊C4C2×D418yes—
617C23×C22⋊C4C2×D418yes—
618C23×C22⋊C4C2×D418yes—
619C23×C22⋊C4C2×D418yes—
620C23×C22⋊C4C2×D418yes—
621C23×C22⋊C4C2×D418yes—
622C23×C22⋊C4C2×D418yes—
623C23×C22⋊C4C2×D418yes—
624C23×C22⋊C4C2×D418yes—
625C23×C22⋊C4C2×D418yes—
626C23×C22⋊C4C2×D418yes—
627C23×C22⋊C4C2×D418yes—
628C23×C22⋊C4C2×D418yescomplemented
629C23×C22⋊C4C2×D418yescomplemented
630C23×C22⋊C4C2×D418yescomplemented
631C23×C22⋊C4C2×D418yescomplemented
632C23×C22⋊C4C2×D418yescomplemented
633C23×C22⋊C4C2×D418yescomplemented
634C23×C22⋊C4C2414yes—
635C23×C22⋊C4C2414yes—
636C23×C22⋊C4C2414yes—
637C23×C22⋊C4C2414yes—
638C23×C22⋊C4C2414yes—
639C23×C22⋊C4C2414yes—
640C23×C22⋊C4C2414yes—
641C23×C22⋊C4C2414yes—
642C23×C22⋊C4C2414yes—
643C23×C22⋊C4C2414yes—
644C23×C22⋊C4C2414yes—
645C23×C22⋊C4C2414yes—
646C23×C22⋊C4C2414yes—
647C23×C22⋊C4C2414yes—
648C23×C22⋊C4C2414yes—
649C23×C22⋊C4C2414yes—
650C23×C22⋊C4C2414yes—
651C23×C22⋊C4C2414yes—
652C23×C22⋊C4C2414yes—
653C23×C22⋊C4C2414yes—
654C23×C22⋊C4C2414yes—
655C23×C22⋊C4C2414yes—
656C23×C22⋊C4C2414yes—
657C23×C22⋊C4C2414yes—
658C23×C22⋊C4C2414yes—
659C23×C22⋊C4C2414yes—
660C23×C22⋊C4C2414yes—
661C23×C22⋊C4C2414yes—
662C23×C22⋊C4C2414yes—
663C23×C22⋊C4C2414yes—
664C23×C22⋊C4C2414yes—
665C23×C22⋊C4C2414yes—
666C23×C22⋊C4C2414yes—
667C23×C22⋊C4C2414yes—
668C23×C22⋊C4C2414yes—
669C23×C22⋊C4C2414yes—
670C23×C22⋊C4C2414yes—
671C23×C22⋊C4C2414yes—
672C23×C22⋊C4C2414yes—
673C23×C22⋊C4C2414yes—
674C23×C22⋊C4C2414yes—
675C23×C22⋊C4C2414yes—
676C23×C22⋊C4C2414yes—
677C23×C22⋊C4C2414yes—
678C23×C22⋊C4C2414yes—
679C23×C22⋊C4C2414yes—
680C23×C22⋊C4C2414yes—
681C23×C22⋊C4C2414yes—
682C23×C22⋊C4C2414yes—
683C23×C22⋊C4C2414yes—
684C23×C22⋊C4C2414yes—
685C23×C22⋊C4C2414yes—
686C23×C22⋊C4C2414yes—
687C23×C22⋊C4C2414yes—
688C23×C22⋊C4C2414yes—
689C23×C22⋊C4C2414yes—
690C23×C22⋊C4C2414yes—
691C23×C22⋊C4C2414yes—
692C23×C22⋊C4C2414yes—
693C23×C22⋊C4C2414yes—
694C23×C22⋊C4C2414yes—
695C23×C22⋊C4C2414yes—
696C23×C22⋊C4C2414yes—
697C23×C22⋊C4C2414yes—
698C23×C22⋊C4C2414yes—
699C23×C22⋊C4C2414yes—
700C23×C22⋊C4C2414yes—
701C23×C22⋊C4C2414yes—
702C2×#392C2×D4164yescomplemented
703C2×#392C2×D4164yescomplemented
704C2×#392C2×D4164yescomplemented
705C2×#386C2×D4164yescomplemented
706C22×#95C2×D418yes—
707C22×#95C2×D418yes—
708C22×#95C2×D418yes—
709C22×#95C2×D418yescomplemented
710C22×#95C2×D418yescomplemented
711C22×#95C2×D418yescomplemented
712C22×#95C2×D418yescomplemented
713C22×#95C2414yes—
714C22×#95C2414yes—
715C22×#95C2414yes—
716C22×#95C2414yes—
717C22×#95C2414yes—
718C22×#95C2414yes—
719C22×#95C2414yes—
720C22×#95C2414yes—
721C22×#95C2414yes—
722C22×#95C2414yes—
723C22×#95C2414yes—
724C22×#95C2414yes—
725C22×#95C2414yes—
726C22×#95C2414yes—
727C22×#95C2414yes—
728C22×#95C2414yes—
729C22×#95C2414yes—
730C22×#95C2414yes—
731C22×#95C2414yes—
732C22×#95C2414yes—
733C22×#95C2414yes—
734C22×#95C2414yes—
735C22×#95C2414yes—
736C22×#95C2414yes—
737C22×#95C2414yes—
738C22×#95C2414yes—
739C22×#95C2414yes—
740C22×#95C2414yes—
741C22×#95C2414yes—
742C22×#95C2414yes—
743C22×#95C2414yes—
744C22×#95C2414yes—
745C22×#95C2414yes—
746C22×#95C2414yes—
747C22×#95C2414yes—
748C22×#95C2414yes—
749C22×#95C2414yes—
750C22×#95C2414yes—
751C22×#95C2414yes—
752C22×#95C2414yes—
753C22×#95C2414yes—
754C22×#95C2414yes—
755C22×#95C2414yes—
756C22×#95C2414yes—
757C22×#95C2414yes—
758C22×#95C2414yes—
759C22×#95C2414yes—
760C22×#95C2414yes—
761C22×#95C2414yes—
762C22×#95C2414yes—
763C22×#95C2414yes—
764C22×#95C2414yes—
765C22×#95C2414yes—
766C22×#95C2414yes—
767C22×#95C2414yes—
768C22×#95C2414yes—
769C22×#95C2414yes—
770#1438C2×D4164yescomplemented
771C26C22×D414yes—
772C26C22×D414yes—
773C26C22×D414yes—
774C26C22×D414yes—
775C26C22×D414yes—
776C26C22×D414yes—
777C26C22×D414yes—
778C26C22×D414yes—
779C26C22×D414yes—
780C26C22×D414yes—
781C26C22×D414yes—
782C26C22×D414yes—
783C26C22×D414yes—
784C26C22×D414yes—
785C26C22×D414yes—
786C26C22×D414yes—
787C26C22×D414yes—
788C26C22×D4116yes—
789C26C2×#4114yes—
790C26C2×#4114yes—
791C26C2×#4114yes—
792C26C2×#4114yes—
793C26C2×#4114yes—
794C26C2×#41116yes—
795C26H(5,𝔽2)14yes—
796C26H(5,𝔽2)14yes—
797C26H(5,𝔽2)14yes—
798C26H(5,𝔽2)14yes—
799C26H(5,𝔽2)14yes—
800C26H(5,𝔽2)14yes—
801C26H(5,𝔽2)14yes—
802C26H(5,𝔽2)14yes—
803C26H(5,𝔽2)14yes—
804C26H(5,𝔽2)14yes—
805C26H(5,𝔽2)14yes—
806C26H(5,𝔽2)14yes—
807C26H(5,𝔽2)14yes—
808C26H(5,𝔽2)14yes—
809C26C2512yes—
810C26C2512yes—
811C26C2512yes—
812C26C2512yes—
813C26C2512yes—
814C26C2512yes—
815C26C2512yes—
816C26C2512yes—
817C26C2511yescharacteristic
818C23×D4#121164yescomplemented
819C23×D4C22×D4116yes—
820C23×D4C22×D4116yes—
821C23×D4C22×D4116yes—
822C23×D4C22×D4116yes—
823C23×D4C22×D4116yes—
824C23×D4C22×D4116yes—
825C23×D4C22×D4116yes—
826C23×D4C22×D4116yes—
827C23×D4C22×D4116yes—
828C23×D4C22×D4116yes—
829C23×D4C22×D4116yes—
830C23×D4C22×D4116yes—
831C23×D4C22×D4116yescomplemented
832C23×D4C22×D4116yescomplemented
833C23×D4C2×#41116yes—
834C24×C4C22×D414yes—
835C24×C4C22×D414yes—
836C24×C4C22×D414yes—
837C24×C4C22×D414yes—
838C24×C4C22×D414yes—
839C24×C4C22×D414yes—
840C24×C4C22×D414yes—
841C24×C4C22×D414yes—
842C24×C4C22×D414yes—
843C24×C4C22×D414yes—
844C24×C4C22×D414yes—
845C24×C4C22×D414yes—
846C24×C4C22×D414yes—
847C24×C4C22×D414yes—
848C24×C4C22×D414yes—
849C24×C4C22×D414yes—
850C24×C4C22×D414yes—
851C24×C4C22×D414yes—
852C24×C4C22×D414yes—
853C24×C4C22×D414yes—
854C24×C4C22×D414yes—
855C24×C4C22×D414yes—
856C24×C4C22×D414yes—
857C24×C4C22×D414yes—
858C24×C4C22×D414yes—
859C24×C4C22×D4116yes—
860C24×C4C2×#4114yes—
861C24×C4H(5,𝔽2)14yes—
862C24×C4H(5,𝔽2)14yes—
863C24×C4H(5,𝔽2)14yes—
864C24×C4H(5,𝔽2)14yes—
865C24×C4H(5,𝔽2)14yes—
866C24×C4H(5,𝔽2)14yes—
867C24×C4C2512yes—
868C24×C4C2512yes—
869C24×C4C2512yes—
870C24×C4C2512yes—
871C24×C4C2512yes—
872C24×C4C2512yes—
873C24×C4C2512yes—
874C24×C4C2512yes—
875C24×C4C2512yes—
876C24×C4C2512yes—
877C24×C4C2512yes—
878C24×C4C2512yes—
879C24×C4C2512yes—
880C24×C4C2512yes—
881C24×C4C2512yes—
882C24×C4C2512yes—
883C24×C4C2512yes—
884C24×C4C2512yes—
885C24×C4C2512yes—
886C24×C4C2512yes—
887C24×C4C2512yes—
888C24×C4C2512yes—
889C24×C4C2512yes—
890C22×C22⋊C4#120164yescomplemented
891C22×C22⋊C4C22×D4116yes—
892C22×C22⋊C4C22×D4116yes—
893C22×C22⋊C4C22×D4116yes—
894C22×C22⋊C4C22×D4116yes—
895C22×C22⋊C4C22×D4116yes—
896C22×C22⋊C4C22×D4116yes—
897C22×C22⋊C4C22×D4116yes—
898C22×C22⋊C4C22×D4116yes—
899C22×C22⋊C4C22×D4116yes—
900C22×C22⋊C4C22×D4116yes—
901C22×C22⋊C4C22×D4116yes—
902C22×C22⋊C4C22×D4116yes—
903C22×C22⋊C4C22×D4116yes—
904C22×C22⋊C4C22×D4116yescomplemented
905C22×C22⋊C4C22×D4116yescomplemented
906C22×C22⋊C4C22×D4116yescomplemented
907C22×C22⋊C4C22×D4116yescomplemented
908C22×C22⋊C4C22×D4116yescomplemented
909C22×C22⋊C4C22×D4116yescomplemented
910C2×#95C22×D4116yes—
911C2×#95C22×D4116yes—
912C2×#95C22×D4116yes—
913C2×#95C22×D4116yescomplemented
914C2×#95C22×D4116yescomplemented
915C2×#95C22×D4116yescomplemented
916C2×#95C22×D4116yescomplemented
917C25C2×#120116yes—
918C25C2×#121116yes—
919C25C2×#121116yes—
920C25#525116yes—
921C25#534116yes—
922C25#534116yes—
923C25#534116yes—
924C25#535116yes—
925C25#538116yes—
926C25#538116yes—
927C25D42116yes—
928C25D42116yes—
929C25D42116yes—
930C25D42116yes—
931C25D42116yes—
932C25D42116yes—
933C25D42116yes—
934C25D42116yes—
935C25#546116yes—
936C25#546116yes—
937C25#546116yes—
938C25#546116yes—
939C25#546116yes—
940C25#546116yes—
941C25#546116yes—
942C25#560116yes—
943C25C23×D414yes—
944C25C23×D414yes—
945C25C23×D414yes—
946C25C23×D414yes—
947C25C23×D414yes—
948C25C23×D414yes—
949C25C23×D414yes—
950C25C23×D414yes—
951C25C23×D414yes—
952C25C23×D414yes—
953C25C23×D414yes—
954C25C23×D414yes—
955C25C23×D414yes—
956C25C23×D414yes—
957C25C23×D414yes—
958C25C23×D414yes—
959C25C23×D414yes—
960C25C23×D412yes—
961C25C23×D412yes—
962C25C23×D412yes—
963C25C23×D412yes—
964C25C23×D412yes—
965C25C23×D412yes—
966C25C22×#4114yes—
967C25C22×#4114yes—
968C25C22×#4114yes—
969C25C22×#4114yes—
970C25C22×#4114yes—
971C25C22×#4112yes—
972C25C22×#4112yes—
973C25C2×H(5,𝔽2)14yes—
974C25C2×H(5,𝔽2)14yes—
975C25C2×H(5,𝔽2)14yes—
976C25C2×H(5,𝔽2)14yes—
977C25C2×H(5,𝔽2)14yes—
978C25C2×H(5,𝔽2)14yes—
979C25C2×H(5,𝔽2)14yes—
980C25C2×H(5,𝔽2)14yes—
981C25C2×H(5,𝔽2)14yes—
982C25C2×H(5,𝔽2)14yes—
983C25C2×H(5,𝔽2)14yes—
984C25C2×H(5,𝔽2)14yes—
985C25C2×H(5,𝔽2)14yes—
986C25C2×H(5,𝔽2)14yes—
987C25C2×H(5,𝔽2)12yes—
988C25C2×H(5,𝔽2)12yes—
989C25C2×H(5,𝔽2)12yes—
990C25C2×H(5,𝔽2)12yes—
991C25C2×H(5,𝔽2)12yes—
992C25C2×H(5,𝔽2)12yes—
993C25C2×H(5,𝔽2)12yes—
994C25C2×H(5,𝔽2)12yes—
995C25C2×H(5,𝔽2)12yes—
996C25C2×H(5,𝔽2)12yes—
997C25C2×H(5,𝔽2)12yes—
998C25C2×H(5,𝔽2)12yes—
999C25C2×H(5,𝔽2)12yes—
1000C25C2×H(5,𝔽2)12yes—
1001C25C2×H(5,𝔽2)12yes—
1002C25C2×H(5,𝔽2)12yes—
1003C25C2×H(5,𝔽2)12yes—
1004C25C2×H(5,𝔽2)12yes—
1005C25C2×H(5,𝔽2)12yes—
1006C25C2×H(5,𝔽2)12yes—
1007C25#58512yes—
1008C25#58512yes—
1009C25#58512yes—
1010C25C2611yescharacteristic
1011C22×D4C2×#121164yescomplemented
1012C23×C4C2×#120116yes—
1013C23×C4C2×#120116yes—
1014C23×C4C2×#121116yes—
1015C23×C4D42116yes—
1016C23×C4D42116yes—
1017C23×C4D42116yes—
1018C23×C4C23×D414yes—
1019C23×C4C23×D414yes—
1020C23×C4C23×D414yes—
1021C23×C4C23×D414yes—
1022C23×C4C23×D414yes—
1023C23×C4C23×D414yes—
1024C23×C4C23×D414yes—
1025C23×C4C23×D414yes—
1026C23×C4C23×D414yes—
1027C23×C4C23×D414yes—
1028C23×C4C23×D414yes—
1029C23×C4C23×D414yes—
1030C23×C4C23×D414yes—
1031C23×C4C23×D414yes—
1032C23×C4C23×D414yes—
1033C23×C4C23×D414yes—
1034C23×C4C23×D414yes—
1035C23×C4C23×D414yes—
1036C23×C4C23×D414yes—
1037C23×C4C23×D414yes—
1038C23×C4C23×D414yes—
1039C23×C4C23×D414yes—
1040C23×C4C23×D414yes—
1041C23×C4C23×D414yes—
1042C23×C4C23×D414yes—
1043C23×C4C22×#4114yes—
1044C23×C4C2×H(5,𝔽2)14yes—
1045C23×C4C2×H(5,𝔽2)14yes—
1046C23×C4C2×H(5,𝔽2)14yes—
1047C23×C4C2×H(5,𝔽2)14yes—
1048C23×C4C2×H(5,𝔽2)14yes—
1049C23×C4C2×H(5,𝔽2)14yes—
1050C2×C22⋊C4C2×#120164yescomplemented
1051C24#2408164yes—
1052C24#2424164yes—
1053C24#2668164yes—
1054C24C22×#12018yes—
1055C24C22×#12014yes—
1056C24C22×#12118yes—
1057C24C22×#12118yes—
1058C24C22×#12114yes—
1059C24C2×#52518yes—
1060C24C2×#52514yes—
1061C24C2×#53418yes—
1062C24C2×#53418yes—
1063C24C2×#53418yes—
1064C24C2×#53414yes—
1065C24C2×#53414yes—
1066C24C2×#53414yes—
1067C24C2×#53518yes—
1068C24C2×#53514yes—
1069C24C2×#53818yes—
1070C24C2×#53818yes—
1071C24C2×#53814yes—
1072C24C2×#53814yes—
1073C24#345914yes—
1074C24C2×D4218yes—
1075C24C2×D4218yes—
1076C24C2×D4218yes—
1077C24C2×D4218yes—
1078C24C2×D4218yes—
1079C24C2×D4218yes—
1080C24C2×D4218yes—
1081C24C2×D4218yes—
1082C24C2×D4214yes—
1083C24C2×D4214yes—
1084C24C2×D4214yes—
1085C24C2×D4214yes—
1086C24C2×D4214yes—
1087C24C2×D4214yes—
1088C24C2×D4214yes—
1089C24C2×D4214yes—
1090C24C2×D4214yes—
1091C24C2×D4214yes—
1092C24C2×D4214yes—
1093C24C2×#54618yes—
1094C24C2×#54618yes—
1095C24C2×#54618yes—
1096C24C2×#54618yes—
1097C24C2×#54618yes—
1098C24C2×#54618yes—
1099C24C2×#54618yes—
1100C24C2×#54614yes—
1101C24C2×#54614yes—
1102C24C2×#54614yes—
1103C24C2×#54614yes—
1104C24C2×#54614yes—
1105C24C2×#54614yes—
1106C24C2×#54614yes—
1107C24D4×#4114yes—
1108C24#348414yes—
1109C24#348414yes—
1110C24#348414yes—
1111C24#348414yes—
1112C24#348414yes—
1113C24#348414yes—
1114C24#348414yes—
1115C24#348414yes—
1116C24#348414yes—
1117C24#348414yes—
1118C24#348414yes—
1119C24#348414yes—
1120C24#348414yes—
1121C24#348414yes—
1122C24#348414yes—
1123C24#348414yes—
1124C24#348414yes—
1125C24#348414yes—
1126C24#348414yes—
1127C24#348414yes—
1128C24#348414yes—
1129C24#348414yes—
1130C24#348414yes—
1131C24#348414yes—
1132C24#348414yes—
1133C24#348414yes—
1134C24#348414yes—
1135C24#348414yes—
1136C24#348414yes—
1137C24#348414yes—
1138C24#348414yes—
1139C24#348814yes—
1140C24#348814yes—
1141C24#348814yes—
1142C24#348814yes—
1143C24#348814yes—
1144C24#348814yes—
1145C24#348814yes—
1146C24#348814yes—
1147C24#348814yes—
1148C24#349014yes—
1149C24#349014yes—
1150C24#349014yes—
1151C24#349014yes—
1152C24#349014yes—
1153C24#349014yes—
1154C24#349014yes—
1155C24#349614yes—
1156C24#349614yes—
1157C24#349614yes—
1158C24#349614yes—
1159C24#349614yes—
1160C24#349614yes—
1161C24#349814yes—
1162C24#349814yes—
1163C24#349814yes—
1164C24#350014yes—
1165C24#350514yes—
1166C24#350514yes—
1167C24#351314yes—
1168C24#351314yes—
1169C24#351914yes—
1170C24#351914yes—
1171C24#351914yes—
1172C24#351914yes—
1173C24#351914yes—
1174C24C2×#56018yes—
1175C24C2×#56014yes—
1176C24#353214yes—
1177C24#353214yes—
1178C24#353214yes—
1179C24#353214yes—
1180C24#353214yes—
1181C24#353214yes—
1182C24#353214yes—
1183C24#353214yes—
1184C24#353214yes—
1185C24#353214yes—
1186C24#353214yes—
1187C24#353214yes—
1188C24#353214yes—
1189C24#353214yes—
1190C24#353214yes—
1191C24#353214yes—
1192C24#353214yes—
1193C24#353214yes—
1194C24#353214yes—
1195C24#353214yes—
1196C24#353214yes—
1197C24#353214yes—
1198C24#353314yes—
1199C24#353414yes—
1200C24#353414yes—
1201C24#353414yes—
1202C24#353414yes—
1203C24#353414yes—
1204C24#353414yes—
1205C24#353414yes—
1206C24#353414yes—
1207C24#353414yes—
1208C24#353414yes—
1209C24#353414yes—
1210C24#353414yes—
1211C24#353414yes—
1212C24#353414yes—
1213C24#353714yes—
1214C24#353714yes—
1215C24#353714yes—
1216C24#353714yes—
1217C24#353714yes—
1218C24#353714yes—
1219C24#353714yes—
1220C24#353714yes—
1221C24#353714yes—
1222C24#353714yes—
1223C24#353714yes—
1224C24#354214yes—
1225C24#354214yes—
1226C24#354314yes—
1227C24#354314yes—
1228C24#354314yes—
1229C24#354314yes—
1230C24#354314yes—
1231C24#354314yes—
1232C24#354614yes—
1233C24#355814yes—
1234C24#356014yes—
1235C24C24×D411yescharacteristic
1236C24C24×D411yescharacteristic
1237C24C24×D411yescharacteristic
1238C24C24×D411yescharacteristic
1239C24C24×D411yescharacteristic
1240C24C24×D411yescharacteristic
1241C24C23×#4111yescharacteristic
1242C24C23×#4111yescharacteristic
1243C24C22×H(5,𝔽2)11yescharacteristic
1244C24C22×H(5,𝔽2)11yescharacteristic
1245C24C22×H(5,𝔽2)11yescharacteristic
1246C24C22×H(5,𝔽2)11yescharacteristic
1247C24C22×H(5,𝔽2)11yescharacteristic
1248C24C22×H(5,𝔽2)11yescharacteristic
1249C24C22×H(5,𝔽2)11yescharacteristic
1250C24C22×H(5,𝔽2)11yescharacteristic
1251C24C22×H(5,𝔽2)11yescharacteristic
1252C24C22×H(5,𝔽2)11yescharacteristic
1253C24C22×H(5,𝔽2)11yescharacteristic
1254C24C22×H(5,𝔽2)11yescharacteristic
1255C24C22×H(5,𝔽2)11yescharacteristic
1256C24C22×H(5,𝔽2)11yescharacteristic
1257C24C22×H(5,𝔽2)11yescharacteristic
1258C24C22×H(5,𝔽2)11yescharacteristic
1259C24C22×H(5,𝔽2)11yescharacteristic
1260C24C22×H(5,𝔽2)11yescharacteristic
1261C24C22×H(5,𝔽2)11yescharacteristic
1262C24C22×H(5,𝔽2)11yescharacteristic
1263C24C2×#58511yescharacteristic
1264C24C2×#58511yescharacteristic
1265C24C2×#58511yescharacteristic
1266C22×C4C22×#12018yes—
1267C22×C4C22×#12018yes—
1268C22×C4C22×#12118yes—
1269C22×C4C2×D4218yes—
1270C22×C4C2×D4218yes—
1271C22×C4C2×D4218yes—
1272C23C2×#2424116yes—
1273C23C2×#242418yes—
1274C23C2×#2408116yes—
1275C23C2×#240818yes—
1276C23#3498018yes—
1277C23#3499018yes—
1278C23#3534818yes—
1279C23#3535218yes—
1280C23#3551318yes—
1281C23#3568018yes—
1282C23#3569118yes—
1283C23#3569118yes—
1284C23#3569218yes—
1285C23#3572818yes—
1286C23D4×#12018yes—
1287C23D4×#12018yes—
1288C23D4×#12118yes—
1289C23#3609618yes—
1290C23#3609818yes—
1291C23#3609818yes—
1292C23#3615218yes—
1293C23#3670218yes—
1294C23#3677618yes—
1295C23#3764418yes—
1296C23#3764418yes—
1297C23#3764418yes—
1298C23#3764418yes—
1299C23#3764418yes—
1300C23#3764518yes—
1301C23#3766018yes—
1302C23#3766018yes—
1303C23#3766018yes—
1304C23#3766018yes—
1305C23#3767218yes—
1306C23#3767218yes—
1307C23#3767218yes—
1308C23#3767218yes—
1309C23#3767418yes—
1310C23#3769318yes—
1311C23#3772018yes—
1312C23#3774418yes—
1313C23#3774418yes—
1314C23#3774418yes—
1315C23#3783218yes—
1316C23#3783318yes—
1317C23#3807618yes—
1318C23#3807618yes—
1319C23#3836418yes—
1320C23#3942818yes—
1321C23#3943018yes—
1322C23#4048618yes—
1323C23#4049018yes—
1324C23#4049418yes—
1325C23#4058418yes—
1326C23#4058418yes—
1327C23#4059018yes—
1328C23#4064018yes—
1329C23#4072518yes—
1330C23#4072818yes—
1331C23#4078318yes—
1332C23#4091718yes—
1333C23#4299618yes—
1334C23#4299618yes—
1335C23#4299618yes—
1336C23#4299718yes—
1337C23#4299718yes—
1338C23#4299718yes—
1339C23#4300118yes—
1340C23#4301318yes—
1341C23#4302218yes—
1342C23#4309518yes—
1343C23#4309518yes—
1344C23#4309818yes—
1345C23#4309818yes—
1346C23#4309818yes—
1347C23#4309818yes—
1348C23#4309818yes—
1349C23#4309818yes—
1350C23#4309818yes—
1351C23#4310218yes—
1352C23#4310218yes—
1353C23#4388618yes—
1354C23#4388618yes—
1355C23#4388918yes—
1356C23#4393218yes—
1357C23#4486818yes—
1358C23#4487718yes—
1359C23#4492718yes—
1360C23#4535518yes—
1361C23#4535518yes—
1362C23#4543818yes—
1363C23#4543818yes—
1364C23#4545518yes—
1365C23#4572718yes—
1366C23#4632418yes—
1367C23#4635018yes—
1368C23#4635018yes—
1369C23#4635518yes—
1370C23#4636218yes—
1371C23#4636718yes—
1372C23#4637218yes—
1373C23#4699618yes—
1374C23#4704218yes—
1375C23#4783018yes—
1376C23#4783018yes—
1377C23#4783018yes—
1378C23#4783018yes—
1379C23#4783818yes—
1380C23#4784718yes—
1381C23#4787718yes—
1382C23#4787818yes—
1383C23#4792818yes—
1384C23#4793418yes—
1385C23#4794218yes—
1386C23#4794218yes—
1387C23#4794218yes—
1388C23#4808818yes—
1389C23#4845418yes—
1390C23#4845418yes—
1391C23#4848718yes—
1392C23#4955418yes—
1393C23#5064618yes—
1394C23#5086418yes—
1395C23#5200418yes—
1396C23#5200418yes—
1397C23#5200418yes—
1398C23#5200418yes—
1399C23#5200418yes—
1400C23#5203118yes—
1401C23C2×#2668116yes—
1402C23C2×#266818yes—
1403C23#5239718yes—
1404C23#5343118yes—
1405C23#5504018yes—
1406C23#5629118yes—
1407C23#5634418yes—
1408C23#5640418yes—
1409C23#5714218yes—
1410C23#5795818yes—
1411C23#5797018yes—
1412C23#5797118yes—
1413C23#5797118yes—
1414C23#5797418yes—
1415C23#5899018yes—
1416C23#5899018yes—
1417C23#5899018yes—
1418C23#5899018yes—
1419C23#5899018yes—
1420C23#5899118yes—
1421C23#5899118yes—
1422C23#5899118yes—
1423C23#5899118yes—
1424C23#5899118yes—
1425C23#5899718yes—
1426C23#5899718yes—
1427C23#5912318yes—
1428C23#5912318yes—
1429C23#5912618yes—
1430C23C23×#12011yescharacteristic
1431C23C23×#12111yescharacteristic
1432C23C22×#52511yescharacteristic
1433C23C22×#53411yescharacteristic
1434C23C22×#53411yescharacteristic
1435C23C22×#53411yescharacteristic
1436C23C22×#53811yescharacteristic
1437C23C22×#53811yescharacteristic
1438C23C2×#345911yescharacteristic
1439C23C22×#53511yescharacteristic
1440C23C22×#56011yescharacteristic
1441C23C22×D4211yescharacteristic
1442C23C22×D4211yescharacteristic
1443C23C22×D4211yescharacteristic
1444C23C22×D4211yescharacteristic
1445C23C22×D4211yescharacteristic
1446C23C22×D4211yescharacteristic
1447C23C22×D4211yescharacteristic
1448C23C22×D4211yescharacteristic
1449C23C22×D4211yescharacteristic
1450C23C22×D4211yescharacteristic
1451C23C22×D4211yescharacteristic
1452C23C22×#54611yescharacteristic
1453C23C22×#54611yescharacteristic
1454C23C22×#54611yescharacteristic
1455C23C22×#54611yescharacteristic
1456C23C22×#54611yescharacteristic
1457C23C22×#54611yescharacteristic
1458C23C22×#54611yescharacteristic
1459C23C2×D4×#4111yescharacteristic
1460C23C2×#353211yescharacteristic
1461C23C2×#353211yescharacteristic
1462C23C2×#353211yescharacteristic
1463C23C2×#353211yescharacteristic
1464C23C2×#353211yescharacteristic
1465C23C2×#353211yescharacteristic
1466C23C2×#353211yescharacteristic
1467C23C2×#353211yescharacteristic
1468C23C2×#353211yescharacteristic
1469C23C2×#353211yescharacteristic
1470C23C2×#353211yescharacteristic
1471C23C2×#353211yescharacteristic
1472C23C2×#353211yescharacteristic
1473C23C2×#353211yescharacteristic
1474C23C2×#353211yescharacteristic
1475C23C2×#353211yescharacteristic
1476C23C2×#353211yescharacteristic
1477C23C2×#353211yescharacteristic
1478C23C2×#353211yescharacteristic
1479C23C2×#353211yescharacteristic
1480C23C2×#353211yescharacteristic
1481C23C2×#353211yescharacteristic
1482C23C2×#354211yescharacteristic
1483C23C2×#354211yescharacteristic
1484C23C2×#353411yescharacteristic
1485C23C2×#353411yescharacteristic
1486C23C2×#353411yescharacteristic
1487C23C2×#353411yescharacteristic
1488C23C2×#353411yescharacteristic
1489C23C2×#353411yescharacteristic
1490C23C2×#353411yescharacteristic
1491C23C2×#353411yescharacteristic
1492C23C2×#353411yescharacteristic
1493C23C2×#353411yescharacteristic
1494C23C2×#353411yescharacteristic
1495C23C2×#353411yescharacteristic
1496C23C2×#353411yescharacteristic
1497C23C2×#353411yescharacteristic
1498C23C2×#353711yescharacteristic
1499C23C2×#353711yescharacteristic
1500C23C2×#353711yescharacteristic
1501C23C2×#353711yescharacteristic
1502C23C2×#353711yescharacteristic
1503C23C2×#353711yescharacteristic
1504C23C2×#353711yescharacteristic
1505C23C2×#353711yescharacteristic
1506C23C2×#353711yescharacteristic
1507C23C2×#353711yescharacteristic
1508C23C2×#353711yescharacteristic
1509C23C2×#353311yescharacteristic
1510C23C2×#355811yescharacteristic
1511C23C2×#356011yescharacteristic
1512C23C2×#354311yescharacteristic
1513C23C2×#354311yescharacteristic
1514C23C2×#354311yescharacteristic
1515C23C2×#354311yescharacteristic
1516C23C2×#354311yescharacteristic
1517C23C2×#354311yescharacteristic
1518C23C2×#354611yescharacteristic
1519C23C2×#348411yescharacteristic
1520C23C2×#348411yescharacteristic
1521C23C2×#348411yescharacteristic
1522C23C2×#348411yescharacteristic
1523C23C2×#348411yescharacteristic
1524C23C2×#348411yescharacteristic
1525C23C2×#348411yescharacteristic
1526C23C2×#348411yescharacteristic
1527C23C2×#348411yescharacteristic
1528C23C2×#348411yescharacteristic
1529C23C2×#348411yescharacteristic
1530C23C2×#348411yescharacteristic
1531C23C2×#348411yescharacteristic
1532C23C2×#348411yescharacteristic
1533C23C2×#348411yescharacteristic
1534C23C2×#348411yescharacteristic
1535C23C2×#348411yescharacteristic
1536C23C2×#348411yescharacteristic
1537C23C2×#348411yescharacteristic
1538C23C2×#348411yescharacteristic
1539C23C2×#348411yescharacteristic
1540C23C2×#348411yescharacteristic
1541C23C2×#348411yescharacteristic
1542C23C2×#348411yescharacteristic
1543C23C2×#348411yescharacteristic
1544C23C2×#348411yescharacteristic
1545C23C2×#348411yescharacteristic
1546C23C2×#348411yescharacteristic
1547C23C2×#348411yescharacteristic
1548C23C2×#348411yescharacteristic
1549C23C2×#348411yescharacteristic
1550C23C2×#349611yescharacteristic
1551C23C2×#349611yescharacteristic
1552C23C2×#349611yescharacteristic
1553C23C2×#349611yescharacteristic
1554C23C2×#349611yescharacteristic
1555C23C2×#349611yescharacteristic
1556C23C2×#349011yescharacteristic
1557C23C2×#349011yescharacteristic
1558C23C2×#349011yescharacteristic
1559C23C2×#349011yescharacteristic
1560C23C2×#349011yescharacteristic
1561C23C2×#349011yescharacteristic
1562C23C2×#349011yescharacteristic
1563C23C2×#350511yescharacteristic
1564C23C2×#350511yescharacteristic
1565C23C2×#351311yescharacteristic
1566C23C2×#351311yescharacteristic
1567C23C2×#351911yescharacteristic
1568C23C2×#351911yescharacteristic
1569C23C2×#351911yescharacteristic
1570C23C2×#351911yescharacteristic
1571C23C2×#351911yescharacteristic
1572C23C2×#348811yescharacteristic
1573C23C2×#348811yescharacteristic
1574C23C2×#348811yescharacteristic
1575C23C2×#348811yescharacteristic
1576C23C2×#348811yescharacteristic
1577C23C2×#348811yescharacteristic
1578C23C2×#348811yescharacteristic
1579C23C2×#348811yescharacteristic
1580C23C2×#348811yescharacteristic
1581C23C2×#349811yescharacteristic
1582C23C2×#349811yescharacteristic
1583C23C2×#349811yescharacteristic
1584C23C2×#350011yescharacteristic
1585C22#647698116yes—
1586C22#689112116yes—
1587C22#719640116yes—
1588C22#773762116yes—
1589C22#773894116yes—
1590C22#846041116yes—
1591C22#856513116yes—
1592C22#1006038116yes—
1593C22#1082853116yes—
1594C22#1083589116yes—
1595C22#1085253116yes—
1596C22#1259281116yes—
1597C22#1269275116yes—
1598C22#1418370116yes—
1599C22#1418518116yes—
1600C22#1574561116yes—
1601C22#1581325116yes—
1602C22#2077553116yes—
1603C22#2077588116yes—
1604C22#2110333116yes—
1605C22#2129777116yes—
1606C22#2171329116yes—
1607C22#2822415116yes—
1608C22#2920917116yes—
1609C22#3334844116yes—
1610C22#3367545116yes—
1611C22#3860066116yes—
1612C22#3860066116yes—
1613C22#4029469116yes—
1614C22#4033848116yes—
1615C22#4933776116yes—
1616C22C22×#242411yescharacteristic
1617C22C22×#240811yescharacteristic
1618C22C2×#3498011yescharacteristic
1619C22C2×#3499011yescharacteristic
1620C22C2×#3534811yescharacteristic
1621C22C2×#3535211yescharacteristic
1622C22C2×#3551311yescharacteristic
1623C22C2×#3568011yescharacteristic
1624C22C2×#3569111yescharacteristic
1625C22C2×#3569111yescharacteristic
1626C22C2×#3572811yescharacteristic
1627C22C2×#3569211yescharacteristic
1628C22C2×D4×#12011yescharacteristic
1629C22C2×D4×#12011yescharacteristic
1630C22C2×D4×#12111yescharacteristic
1631C22C2×#3609611yescharacteristic
1632C22C2×#3609811yescharacteristic
1633C22C2×#3609811yescharacteristic
1634C22C2×#3615211yescharacteristic
1635C22C22×#266811yescharacteristic
1636C22C2×#3670211yescharacteristic
1637C22C2×#3677611yescharacteristic
1638C22C2×#3764411yescharacteristic
1639C22C2×#3764411yescharacteristic
1640C22C2×#3764411yescharacteristic
1641C22C2×#3764411yescharacteristic
1642C22C2×#3764411yescharacteristic
1643C22C2×#3767211yescharacteristic
1644C22C2×#3767211yescharacteristic
1645C22C2×#3767211yescharacteristic
1646C22C2×#3767211yescharacteristic
1647C22C2×#3766011yescharacteristic
1648C22C2×#3766011yescharacteristic
1649C22C2×#3766011yescharacteristic
1650C22C2×#3766011yescharacteristic
1651C22C2×#3772011yescharacteristic
1652C22C2×#3774411yescharacteristic
1653C22C2×#3774411yescharacteristic
1654C22C2×#3774411yescharacteristic
1655C22C2×#3769311yescharacteristic
1656C22C2×#3764511yescharacteristic
1657C22C2×#3767411yescharacteristic
1658C22C2×#3783211yescharacteristic
1659C22C2×#3783311yescharacteristic
1660C22C2×#3807611yescharacteristic
1661C22C2×#3807611yescharacteristic
1662C22C2×#3836411yescharacteristic
1663C22C2×#3942811yescharacteristic
1664C22C2×#3943011yescharacteristic
1665C22C2×#4058411yescharacteristic
1666C22C2×#4058411yescharacteristic
1667C22C2×#4048611yescharacteristic
1668C22C2×#4064011yescharacteristic
1669C22C2×#4072511yescharacteristic
1670C22C2×#4078311yescharacteristic
1671C22C2×#4091711yescharacteristic
1672C22C2×#4072811yescharacteristic
1673C22C2×#4049011yescharacteristic
1674C22C2×#4059011yescharacteristic
1675C22C2×#4049411yescharacteristic
1676C22C2×#5899011yescharacteristic
1677C22C2×#5899011yescharacteristic
1678C22C2×#5899011yescharacteristic
1679C22C2×#5899011yescharacteristic
1680C22C2×#5899011yescharacteristic
1681C22C2×#5899111yescharacteristic
1682C22C2×#5899111yescharacteristic
1683C22C2×#5899111yescharacteristic
1684C22C2×#5899111yescharacteristic
1685C22C2×#5899111yescharacteristic
1686C22C2×#5912311yescharacteristic
1687C22C2×#5912311yescharacteristic
1688C22C2×#5899711yescharacteristic
1689C22C2×#5899711yescharacteristic
1690C22C2×#5912611yescharacteristic
1691C22C2×#4299611yescharacteristic
1692C22C2×#4299611yescharacteristic
1693C22C2×#4299611yescharacteristic
1694C22C2×#4300111yescharacteristic
1695C22C2×#4299711yescharacteristic
1696C22C2×#4299711yescharacteristic
1697C22C2×#4299711yescharacteristic
1698C22C2×#4301311yescharacteristic
1699C22C2×#4309511yescharacteristic
1700C22C2×#4309511yescharacteristic
1701C22C2×#4302211yescharacteristic
1702C22C2×#4309811yescharacteristic
1703C22C2×#4309811yescharacteristic
1704C22C2×#4309811yescharacteristic
1705C22C2×#4309811yescharacteristic
1706C22C2×#4309811yescharacteristic
1707C22C2×#4309811yescharacteristic
1708C22C2×#4309811yescharacteristic
1709C22C2×#4310211yescharacteristic
1710C22C2×#4310211yescharacteristic
1711C22C2×#4388611yescharacteristic
1712C22C2×#4388611yescharacteristic
1713C22C2×#4393211yescharacteristic
1714C22C2×#4388911yescharacteristic
1715C22C2×#4486811yescharacteristic
1716C22C2×#4492711yescharacteristic
1717C22C2×#4487711yescharacteristic
1718C22C2×#4535511yescharacteristic
1719C22C2×#4535511yescharacteristic
1720C22C2×#4635011yescharacteristic
1721C22C2×#4635011yescharacteristic
1722C22C2×#4637211yescharacteristic
1723C22C2×#4635511yescharacteristic
1724C22C2×#4636211yescharacteristic
1725C22C2×#4636711yescharacteristic
1726C22C2×#4699611yescharacteristic
1727C22C2×#4704211yescharacteristic
1728C22C2×#4543811yescharacteristic
1729C22C2×#4543811yescharacteristic
1730C22C2×#4572711yescharacteristic
1731C22C2×#4545511yescharacteristic
1732C22C2×#4632411yescharacteristic
1733C22C2×#4787711yescharacteristic
1734C22C2×#4784711yescharacteristic
1735C22C2×#4792811yescharacteristic
1736C22C2×#4845411yescharacteristic
1737C22C2×#4845411yescharacteristic
1738C22C2×#4787811yescharacteristic
1739C22C2×#4848711yescharacteristic
1740C22C2×#4783011yescharacteristic
1741C22C2×#4783011yescharacteristic
1742C22C2×#4783011yescharacteristic
1743C22C2×#4783011yescharacteristic
1744C22C2×#4793411yescharacteristic
1745C22C2×#4808811yescharacteristic
1746C22C2×#4783811yescharacteristic
1747C22C2×#4794211yescharacteristic
1748C22C2×#4794211yescharacteristic
1749C22C2×#4794211yescharacteristic
1750C22C2×#4955411yescharacteristic
1751C22C2×#5064611yescharacteristic
1752C22C2×#5086411yescharacteristic
1753C22C2×#5200411yescharacteristic
1754C22C2×#5200411yescharacteristic
1755C22C2×#5200411yescharacteristic
1756C22C2×#5200411yescharacteristic
1757C22C2×#5200411yescharacteristic
1758C22C2×#5203111yescharacteristic
1759C22C2×#5239711yescharacteristic
1760C22C2×#5629111yescharacteristic
1761C22C2×#5640411yescharacteristic
1762C22C2×#5634411yescharacteristic
1763C22C2×#5714211yescharacteristic
1764C22C2×#5504011yescharacteristic
1765C22C2×#5343111yescharacteristic
1766C22C2×#5797111yescharacteristic
1767C22C2×#5797111yescharacteristic
1768C22C2×#5797411yescharacteristic
1769C22C2×#5797011yescharacteristic
1770C22C2×#5795811yescharacteristic
1771C2C2×#84604111yescharacteristic
1772C2C2×#125928111yescharacteristic
1773C2C2×#77376211yescharacteristic
1774C2C2×#108358911yescharacteristic
1775C2C2×#386006611yescharacteristic
1776C2C2×#386006611yescharacteristic
1777C2C2×#402946911yescharacteristic
1778C2#72278157132yesdirect product factor
1779C2C2×#108285311yescharacteristic
1780C2C2×#64769811yescharacteristic
1781C2C2×#77389411yescharacteristic
1782C2C2×#212977711yescharacteristic
1783C2C2×#217132911yescharacteristic
1784C2C2×#336754511yescharacteristic
1785C2C2×#211033311yescharacteristic
1786C2C2×#158132511yescharacteristic
1787C2C2×#141851811yescharacteristic
1788C2C2×#292091711yescharacteristic
1789C2C2×#333484411yescharacteristic
1790C2C2×#493377611yescharacteristic
1791C2C2×#141837011yescharacteristic
1792C2C2×#403384811yescharacteristic
1793C2C2×#71964011yescharacteristic
1794C2C2×#68911211yescharacteristic
1795C2C2×#282241511yescharacteristic
1796C2C2×#100603811yescharacteristic
1797C2C2×#157456111yescharacteristic
1798C2C2×#126927511yescharacteristic
1799C2C2×#207755311yescharacteristic
1800C2C2×#85651311yescharacteristic
1801C2C2×#108525311yescharacteristic
1802C2C2×#207758811yescharacteristic
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC25C26
LCSG ▷ C25 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#155935C2semidirect
2. C2×#159025C2semidirect
3. C2×#157600C2semidirect
4. C2×#154686C2semidirect
5. C2×#158823C2semidirect
6. C2×#159034C2semidirect
7. C2×#156816C2semidirect
8. C2×#156815C2semidirect
9. C2×#156857C2semidirect
10. C2×#156826C2semidirect
11. C2×#156826C2semidirect
12. C2×#155065C2semidirect
13. C2×#155941C2semidirect
14. C22×#14572C2semidirect
15. C22×#15273C2semidirect
16. #72278157C2direct (N × H)
17. C22×#15257C2semidirect
18. C22×#15257C2semidirect
19. C22×#15257C2semidirect
20. C2×#154670C2semidirect
21. C2×#154670C2semidirect
22. C22×#14716C2semidirect
23. C2×#156709C2semidirect
24. C2×#156688C2semidirect
25. C2×#156688C2semidirect
26. C2×#154094C2semidirect
27. C2×#156706C2semidirect
28. C2×#154195C2semidirect
29. C22×#13867C2semidirect
30. C22×#14715C2semidirect
31. C22×#14715C2semidirect
32. C23×#2403C2semidirect
35. C24×#121C22semidirect
36. C24×#121C22semidirect
42. C24×#120C22semidirect
43. C24×#120C22semidirect
44. C25×C22⋊C4C22semidirect
45. C22×#2403C22semidirect
46. C23×#394C22semidirect
55. C23×#392C22semidirect
56. C23×#392C22semidirect
57. C23×#392C22semidirect
58. C23×#392C22semidirect
59. C23×#392C22semidirect
60. C23×#392C22semidirect
67. C23×#386C22semidirect
68. C23×#386C22semidirect
69. C23×#386C22semidirect
70. C23×#386C22semidirect
71. C23×#386C22semidirect
72. C23×#386C22semidirect
73. C23×#386C22semidirect
74. C23×#386C22semidirect
75. C23×#386C22semidirect
76. C23×#386C22semidirect
77. C23×#386C22semidirect
78. C23×#386C22semidirect
79. C23×#386C22semidirect
84. C23×#379C22semidirect
85. C23×#379C22semidirect
86. C23×#379C22semidirect
87. C23×#379C22semidirect
88. C23×#379C22semidirect
89. C2×#15273C22semidirect
90. C2×#15257C22semidirect
91. C2×#15257C22semidirect
92. C2×#15257C22semidirect
93. C2×#14716C22semidirect
94. C2×#14715C22semidirect
95. C2×#14715C22semidirect
96. C2×#14572C22semidirect
97. C2×#13867C22semidirect
98. C22×#1443C22semidirect
99. C22×#1443C22semidirect
100. C22×#1442C22semidirect
101. C22×#1440C22semidirect
102. C22×#1440C22semidirect
103. C22×#1440C22semidirect
104. C22×#1440C22semidirect
105. C22×#1440C22semidirect
106. C22×#1440C22semidirect
107. C22×#1439C22semidirect
108. C22×#1439C22semidirect
109. C22×#1439C22semidirect
110. C22×#1439C22semidirect
111. C22×#1439C22semidirect
112. C22×#1439C22semidirect
113. C22×#1439C22semidirect
114. C22×#1439C22semidirect
115. C22×#1439C22semidirect
116. C22×#1439C22semidirect
117. C22×#1439C22semidirect
118. C22×#1439C22semidirect
119. C22×#1439C22semidirect
120. C22×#1439C22semidirect
121. C22×#1439C22semidirect
122. C22×#1439C22semidirect
133. C22×#1438C22semidirect
134. C22×#1438C22semidirect
135. C22×#1438C22semidirect
136. C22×#1438C22semidirect
137. C22×#1438C22semidirect
138. C22×#1438C22semidirect
139. C22×#1438C22semidirect
140. C22×#1438C22semidirect
141. C22×#1438C22semidirect
142. C22×#1438C22semidirect
143. C22×#1438C22semidirect
144. C22×#1438C22semidirect
145. C22×#1438C22semidirect
146. C22×#1438C22semidirect
147. C22×#1438C22semidirect
148. C22×#1438C22semidirect
149. C22×#1438C22semidirect
150. C22×#1438C22semidirect
151. C22×#1438C22semidirect
152. C22×#1438C22semidirect
153. C22×#1438C22semidirect
154. C22×#1438C22semidirect
155. C22×#1438C22semidirect
156. C22×#1438C22semidirect
157. C22×#1438C22semidirect
158. C22×#1438C22semidirect
159. C22×C22⋊#95C22semidirect
160. C22×C22⋊#95C22semidirect
161. C22×C22⋊#95C22semidirect
162. C22×C22⋊#95C22semidirect
163. C22×C22⋊#95C22semidirect
164. C22×C22⋊#95C22semidirect
165. C22×C22⋊#95C22semidirect
166. C22×C22⋊#95C22semidirect
167. C22×C22⋊#95C22semidirect
168. C22×C22⋊#95C22semidirect
169. #159034C22semidirect
170. #159025C22semidirect
171. #158823C22semidirect
172. #157600C22semidirect
173. #156857C22semidirect
174. #156826C22semidirect
175. #156826C22semidirect
176. #156816C22semidirect
177. #156815C22semidirect
178. #156709C22semidirect
179. #156706C22semidirect
180. #156688C22semidirect
181. #156688C22semidirect
182. #155941C22semidirect
183. #155935C22semidirect
184. #155065C22semidirect
185. #154686C22semidirect
186. #154670C22semidirect
187. #154670C22semidirect
188. #154195C22semidirect
189. #154094C22semidirect
190. C2×#7557C22semidirect
191. C2×#7556C22semidirect
192. C2×#7556C22semidirect
193. C2×#7556C22semidirect
194. C2×#7556C22semidirect
195. C2×#7556C22semidirect
196. C2×#7556C22semidirect
197. C2×#7556C22semidirect
198. C2×#7556C22semidirect
199. C2×#7555C22semidirect
200. C2×#7555C22semidirect
201. C2×#7555C22semidirect
202. C2×#7555C22semidirect
203. C2×#7555C22semidirect
204. C2×#7555C22semidirect
205. C2×#7555C22semidirect
206. C2×#7555C22semidirect
207. C2×#7555C22semidirect
208. C2×#7555C22semidirect
209. C2×#7555C22semidirect
210. C2×#7555C22semidirect
211. C2×#7555C22semidirect
212. C2×#7555C22semidirect
213. C2×#7555C22semidirect
214. C2×#7555C22semidirect
215. C2×#7555C22semidirect
216. C2×#7555C22semidirect
217. C2×#7555C22semidirect
218. C2×#7555C22semidirect
248. C23×#121C23semidirect
249. C23×#121C23semidirect
250. C23×#120D4semidirect
256. C23×#120C23semidirect
257. C23×#120C23semidirect
329. C24×C22⋊C4C23semidirect
330. C22×#394C23semidirect
331. C22×#392D4semidirect
332. C22×#392D4semidirect
333. C22×#392D4semidirect
342. C22×#392C23semidirect
343. C22×#392C23semidirect
344. C22×#392C23semidirect
345. C22×#392C23semidirect
346. C22×#392C23semidirect
347. C22×#392C23semidirect
348. C22×#386D4semidirect
355. C22×#386C23semidirect
356. C22×#386C23semidirect
357. C22×#386C23semidirect
358. C22×#386C23semidirect
359. C22×#386C23semidirect
360. C22×#386C23semidirect
361. C22×#386C23semidirect
362. C22×#386C23semidirect
363. C22×#386C23semidirect
364. C22×#386C23semidirect
365. C22×#386C23semidirect
366. C22×#386C23semidirect
367. C22×#386C23semidirect
372. C22×#379C23semidirect
373. C22×#379C23semidirect
374. C22×#379C23semidirect
375. C22×#379C23semidirect
376. C22×#379C23semidirect
434. C2×#1443C23semidirect
435. C2×#1443C23semidirect
436. C2×#1442C23semidirect
437. C2×#1440C23semidirect
438. C2×#1440C23semidirect
439. C2×#1440C23semidirect
440. C2×#1440C23semidirect
441. C2×#1440C23semidirect
442. C2×#1440C23semidirect
443. C2×#1439C23semidirect
444. C2×#1439C23semidirect
445. C2×#1439C23semidirect
446. C2×#1439C23semidirect
447. C2×#1439C23semidirect
448. C2×#1439C23semidirect
449. C2×#1439C23semidirect
450. C2×#1439C23semidirect
451. C2×#1439C23semidirect
452. C2×#1439C23semidirect
453. C2×#1439C23semidirect
454. C2×#1439C23semidirect
455. C2×#1439C23semidirect
456. C2×#1439C23semidirect
457. C2×#1439C23semidirect
458. C2×#1439C23semidirect
459. C2×#1438D4semidirect
470. C2×#1438C23semidirect
471. C2×#1438C23semidirect
472. C2×#1438C23semidirect
473. C2×#1438C23semidirect
474. C2×#1438C23semidirect
475. C2×#1438C23semidirect
476. C2×#1438C23semidirect
477. C2×#1438C23semidirect
478. C2×#1438C23semidirect
479. C2×#1438C23semidirect
480. C2×#1438C23semidirect
481. C2×#1438C23semidirect
482. C2×#1438C23semidirect
483. C2×#1438C23semidirect
484. C2×#1438C23semidirect
485. C2×#1438C23semidirect
486. C2×#1438C23semidirect
487. C2×#1438C23semidirect
488. C2×#1438C23semidirect
489. C2×#1438C23semidirect
490. C2×#1438C23semidirect
491. C2×#1438C23semidirect
492. C2×#1438C23semidirect
493. C2×#1438C23semidirect
494. C2×#1438C23semidirect
495. C2×#1438C23semidirect
496. C2×C22⋊#95C23semidirect
497. C2×C22⋊#95C23semidirect
498. C2×C22⋊#95C23semidirect
499. C2×C22⋊#95C23semidirect
500. C2×C22⋊#95C23semidirect
501. C2×C22⋊#95C23semidirect
502. C2×C22⋊#95C23semidirect
503. C2×C22⋊#95C23semidirect
504. C2×C22⋊#95C23semidirect
505. C2×C22⋊#95C23semidirect
506. #7557C23semidirect
507. #7556C23semidirect
508. #7556C23semidirect
509. #7556C23semidirect
510. #7556C23semidirect
511. #7556C23semidirect
512. #7556C23semidirect
513. #7556C23semidirect
514. #7556C23semidirect
515. #7555C23semidirect
516. #7555C23semidirect
517. #7555C23semidirect
518. #7555C23semidirect
519. #7555C23semidirect
520. #7555C23semidirect
521. #7555C23semidirect
522. #7555C23semidirect
523. #7555C23semidirect
524. #7555C23semidirect
525. #7555C23semidirect
526. #7555C23semidirect
527. #7555C23semidirect
528. #7555C23semidirect
529. #7555C23semidirect
530. #7555C23semidirect
531. #7555C23semidirect
532. #7555C23semidirect
533. #7555C23semidirect
534. #7555C23semidirect
560. C24×D4C2×D4semidirect
561. C24×D4C2×D4semidirect
611. C22×#120C2×D4semidirect
628. C23×C22⋊C4C2×D4semidirect
629. C23×C22⋊C4C2×D4semidirect
630. C23×C22⋊C4C2×D4semidirect
631. C23×C22⋊C4C2×D4semidirect
632. C23×C22⋊C4C2×D4semidirect
633. C23×C22⋊C4C2×D4semidirect
702. C2×#392C2×D4semidirect
703. C2×#392C2×D4semidirect
704. C2×#392C2×D4semidirect
705. C2×#386C2×D4semidirect
709. C22×#95C2×D4semidirect
710. C22×#95C2×D4semidirect
711. C22×#95C2×D4semidirect
712. C22×#95C2×D4semidirect
770. #1438C2×D4semidirect
818. C23×D4#121semidirect
831. C23×D4C22×D4semidirect
832. C23×D4C22×D4semidirect
890. C22×C22⋊C4#120semidirect
904. C22×C22⋊C4C22×D4semidirect
905. C22×C22⋊C4C22×D4semidirect
906. C22×C22⋊C4C22×D4semidirect
907. C22×C22⋊C4C22×D4semidirect
908. C22×C22⋊C4C22×D4semidirect
909. C22×C22⋊C4C22×D4semidirect
913. C2×#95C22×D4semidirect
914. C2×#95C22×D4semidirect
915. C2×#95C22×D4semidirect
916. C2×#95C22×D4semidirect
1011. C22×D4C2×#121semidirect
1050. C2×C22⋊C4C2×#120semidirect
1778. C2#72278157direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#1559352
C2×#1590252
C2×#1576002
C2×#1546862
C2×#1588232
C2×#1590342
C2×#1568162
C2×#1568152
C2×#1568572
C2×#1568262
C2×#1550652
C2×#1559412
C22×#145722
C22×#152732
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