Finite Group Databasebeta

← C2×#20277812 #27543741

Subgroups — C2×#20277812 #27543741

Order 13568.

2510 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13133207C211yesmaximal, characteristic
2#20277812C2116yesmaximal, direct product factor
3C2×#16810521C211yesmaximal, characteristic
4C2×#16810520C211yesmaximal, characteristic
5C2×#16810518C211yesmaximal, characteristic
6C2×#16810518C211yesmaximal, characteristic
7C2×#16810509C211yesmaximal, characteristic
8C2×#16810508C211yesmaximal, characteristic
9C2×#16810507C211yesmaximal, characteristic
10C2×#16810507C211yesmaximal, characteristic
11C2×C4×#11719919C211yesmaximal, characteristic
12C2×C4×#11719919C211yesmaximal, characteristic
13C2×C4×#11719919C211yesmaximal, characteristic
14C2×#16810474C211yesmaximal, characteristic
15C2×#16810474C211yesmaximal, characteristic
16C2×C4×C4⋊C4×C53C211yesmaximal, characteristic
17C2×#13133207C4116yescomplemented
18C2×#13133207C2218yes—
19C22×C4⋊Dic53C2211yescharacteristic
20C22×C4⋊Dic53C2211yescharacteristic
21C22×#11719919C2211yescharacteristic
22C22×#11719919C2211yescharacteristic
23C22×#11719919C2211yescharacteristic
24C22×#11719919C2211yescharacteristic
25C22×#11719919C2211yescharacteristic
26C22×#11719919C2211yescharacteristic
27C22×#11719919C2211yescharacteristic
28C22×#11719919C2211yescharacteristic
29C22×#11719919C2211yescharacteristic
30C22×#11719919C2211yescharacteristic
31C22×C4×Dic53C2211yescharacteristic
32C22×C4×Dic53C2211yescharacteristic
33C22×C4×Dic53C2211yescharacteristic
34C22×C4×Dic53C2211yescharacteristic
35C22×C4×Dic53C2211yescharacteristic
36C22×C4×Dic53C2211yescharacteristic
37#16810521C2218yes—
38#16810520C2218yes—
39#16810518C2218yes—
40#16810518C2218yes—
41#16810509C2218yes—
42#16810508C2218yes—
43#16810507C2218yes—
44#16810507C2218yes—
45C4×#11719919C2218yes—
46C4×#11719919C2218yes—
47C4×#11719919C2218yes—
48#16810474C2218yes—
49#16810474C2218yes—
50C2×#13133124C2211yescharacteristic
51C2×#13133124C2211yescharacteristic
52C2×#13133124C2211yescharacteristic
53C2×#13133124C2211yescharacteristic
54C2×#13133124C2211yescharacteristic
55C2×#13133124C2211yescharacteristic
56C2×#13133124C2211yescharacteristic
57C2×#13133124C2211yescharacteristic
58C2×#13133124C2211yescharacteristic
59C2×#13133124C2211yescharacteristic
60C22×C4⋊C4×C53C2211yescharacteristic
61C22×C4⋊C4×C53C2211yescharacteristic
62C22×C42×C53C2211yescharacteristic
63C22×C42×C53C2211yescharacteristic
64C22×C42×C53C2211yescharacteristic
65C4×C4⋊C4×C53C2218yes—
66C2×#95×C53C2211yescharacteristic
67C2×#95×C53C2211yescharacteristic
68C23×Dic53C2311yescharacteristic
69C23×Dic53C2311yescharacteristic
70C23×Dic53C2311yescharacteristic
71C23×Dic53C2311yescharacteristic
72C23×Dic53C2311yescharacteristic
73C23×Dic53C2311yescharacteristic
74C23×Dic53C2311yescharacteristic
75C23×Dic53C2311yescharacteristic
76#13133207C2×C4164yescomplemented
77C2×C4⋊Dic53—42no—
78C2×C4⋊Dic53C2×C418yes—
79C2×C4⋊Dic53C2314yes—
80C2×C4⋊Dic53C2314yes—
81C2×#11719919—24no—
82C2×#11719919—24no—
83C2×#11719919—24no—
84C2×#11719919—24no—
85C2×#11719919—42no—
86C2×#11719919C2×C418yes—
87C2×#11719919C2×C418yes—
88C2×#11719919C2×C418yes—
89C2×#11719919C2×C418yes—
90C2×#11719919Q818yes—
91C2×#11719919C2314yes—
92C2×#11719919C2314yes—
93C2×#11719919C2314yes—
94C2×#11719919C2314yes—
95C2×#11719919C2314yes—
96C2×#11719919C2314yes—
97C2×#11719919C2314yes—
98C2×#11719919C2314yes—
99C2×#11719919C2314yes—
100C2×#11719919C2314yes—
101C2×C4×Dic53—24no—
102C2×C4×Dic53—24no—
103C2×C4×Dic53—24no—
104C2×C4×Dic53—42no—
105C2×C4×Dic53—42no—
106C2×C4×Dic53C2×C418yes—
107C2×C4×Dic53C2314yes—
108C2×C4×Dic53C2314yes—
109C2×C4×Dic53C2314yes—
110C2×C4×Dic53C2314yes—
111C2×C4×Dic53C2314yes—
112C2×C4×Dic53C2314yes—
113#13133124C2314yes—
114#13133124C2314yes—
115#13133124C2314yes—
116#13133124C2314yes—
117#13133124C2314yes—
118#13133124C2314yes—
119#13133124C2314yes—
120#13133124C2314yes—
121#13133124C2314yes—
122#13133124C2314yes—
123C23×C4×C53C2311yescharacteristic
124C23×C4×C53C2311yescharacteristic
125C23×C4×C53C2311yescharacteristic
126C23×C4×C53C2311yescharacteristic
127C23×C4×C53C2311yescharacteristic
128C23×C4×C53C2311yescharacteristic
129C23×C4×C53C2311yescharacteristic
130C2×C4⋊C4×C53—24no—
131C2×C4⋊C4×C53C2×C418yes—
132C2×C4⋊C4×C53C2314yes—
133C2×C4⋊C4×C53C2314yes—
134C2×C42×C53—24no—
135C2×C42×C53—42no—
136C2×C42×C53—42no—
137C2×C42×C53C2314yes—
138C2×C42×C53C2314yes—
139C2×C42×C53C2314yes—
140#95×C53C2314yes—
141#95×C53C2314yes—
142C24×C53C2411yescharacteristic
143C22×C4×C53—22no—
144C22×C4×C53—22no—
145C22×C4×C53—22no—
146C22×C4×C53—22no—
147C22×C4×C53—22no—
148C22×C4×C53—22no—
149C22×C4×C53—22no—
150C22×C4×C53—22no—
151C22×C4×C53—22no—
152C22×C4×C53—22no—
153C22×C4×C53—22no—
154C22×C4×C53—22no—
155C22×C4×C53—22no—
156C22×C4×C53—22no—
157C22×C4×C53—22no—
158C22×C4×C53C22×C414yes—
159C22×C4×C53C22×C414yes—
160C22×C4×C53C22×C414yes—
161C22×C4×C53C2×Q814yes—
162C22×C4×C53#4114yes—
163C22×C4×C53#4114yes—
164C22×C4×C53C2412yes—
165C22×C4×C53C2412yes—
166C22×C4×C53C2412yes—
167C22×C4×C53C2412yes—
168C22×C4×C53C2412yes—
169C22×C4×C53C2412yes—
170C22×C4×C53C2412yes—
171C22×Dic53—22no—
172C22×Dic53—22no—
173C22×Dic53—22no—
174C22×Dic53—22no—
175C22×Dic53—22no—
176C22×Dic53—22no—
177C22×Dic53—22no—
178C22×Dic53—22no—
179C22×Dic53—22no—
180C22×Dic53—22no—
181C22×Dic53—22no—
182C22×Dic53—22no—
183C22×Dic53—22no—
184C22×Dic53—22no—
185C22×Dic53—22no—
186C22×Dic53—22no—
187C22×Dic53—22no—
188C22×Dic53C22×C414yes—
189C22×Dic53C22×C414yes—
190C22×Dic53C22×C414yes—
191C22×Dic53C22×C414yes—
192C22×Dic53C2×Q814yes—
193C22×Dic53C2×Q814yes—
194C22×Dic53#4114yes—
195C22×Dic53C2412yes—
196C22×Dic53C2412yes—
197C22×Dic53C2412yes—
198C22×Dic53C2412yes—
199C22×Dic53C2412yes—
200C22×Dic53C2412yes—
201C22×Dic53C2412yes—
202C22×Dic53C2412yes—
203C4⋊C4×C53—28no—
204C4⋊C4×C53C22×C4116yes—
205C42×C53—28no—
206C42×C53—44no—
207C42×C53—44no—
208C4⋊Dic53—44no—
209C4⋊Dic53C22×C4116yes—
210#11719919—28no—
211#11719919—28no—
212#11719919—28no—
213#11719919—28no—
214#11719919—44no—
215#11719919C22×C4116yes—
216#11719919C22×C4116yes—
217#11719919C22×C4116yes—
218#11719919C22×C4116yes—
219#11719919C2×Q8116yes—
220C4×Dic53—28no—
221C4×Dic53—28no—
222C4×Dic53—28no—
223C4×Dic53—44no—
224C4×Dic53—44no—
225C4×Dic53C22×C4116yes—
226C23×C53C23×C412yes—
227C23×C53C22×Q812yes—
228C23×C53C2×#4112yes—
229C23×C53C2×#4112yes—
230C23×C53C2×#4112yes—
231C23×C53H(5,𝔽2)12yes—
232C23×C532−1+412yes—
233C23×C53C2511yescharacteristic
234C2×C4×C53—28no—
235C2×C4×C53—28no—
236C2×C4×C53—28no—
237C2×C4×C53—28no—
238C2×C4×C53—28no—
239C2×C4×C53—28no—
240C2×C4×C53—22no—
241C2×C4×C53—22no—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—44no—
256C2×C4×C53C23×C414yes—
257C2×C4×C53C23×C414yes—
258C2×C4×C53C23×C414yes—
259C2×C4×C53C22×Q814yes—
260C2×C4×C53C2×#4114yes—
261C2×C4×C53C2×#4114yes—
262C2×Dic53—28no—
263C2×Dic53—28no—
264C2×Dic53—28no—
265C2×Dic53—28no—
266C2×Dic53—22no—
267C2×Dic53—22no—
268C2×Dic53—22no—
269C2×Dic53—22no—
270C2×Dic53—22no—
271C2×Dic53—22no—
272C2×Dic53—22no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—22no—
279C2×Dic53—22no—
280C2×Dic53—22no—
281C2×Dic53—22no—
282C2×Dic53—22no—
283C2×Dic53—44no—
284C2×Dic53—44no—
285C2×Dic53—44no—
286C2×Dic53C4×Q8116yes—
287C2×Dic53C23×C414yes—
288C2×Dic53C23×C414yes—
289C2×Dic53C23×C414yes—
290C2×Dic53C23×C414yes—
291C2×Dic53C22×Q814yes—
292C2×Dic53C22×Q814yes—
293C2×Dic53C2×#4114yes—
294C2×#2370—531nomaximal, Sylow
295C22×C53C2×C4×Q814yes—
296C22×C53C4×#4114yes—
297C22×C53#52014yes—
298C22×C53#55214yes—
299C22×C53#55314yes—
300C22×C53#55414yes—
301C22×C53#55714yes—
302C22×C53C24×C411yescharacteristic
303C22×C53C23×Q811yescharacteristic
304C22×C53C22×#4111yescharacteristic
305C22×C53C22×#4111yescharacteristic
306C22×C53C22×#4111yescharacteristic
307C22×C53C2×H(5,𝔽2)11yescharacteristic
308C22×C53C2×2−1+411yescharacteristic
309C4×C53—24no—
310C4×C53—24no—
311C4×C53—24no—
312C4×C53—24no—
313C4×C53—24no—
314C4×C53—24no—
315C4×C53—42no—
316Dic53—24no—
317Dic53—24no—
318Dic53—24no—
319Dic53—24no—
320Dic53—42no—
321Dic53—42no—
322Dic53—42no—
323Dic53C2×C4×Q818yes—
324C22×#125—531no—
325#2370—5316no—
326C2×#389—531no—
327C2×#389—531no—
328C2×#389—531no—
329C2×#389—531no—
330C2×#387—531no—
331C2×#387—531no—
332C2×#387—531no—
333C2×#387—531no—
334C2×C4×C4⋊C4—531no—
335C2×C4×C4⋊C4—531no—
336C2×C4×C4⋊C4—531no—
337C2×C4×C4⋊C4—531no—
338C2×C4×C4⋊C4—531no—
339C2×C4×C4⋊C4D5311yescharacteristic
340C2×C53#237018yescomplemented
341C2×C53C22×C4×Q811yescharacteristic
342C2×C53C2×C4×#4111yescharacteristic
343C2×C53C2×#52011yescharacteristic
344C2×C53C2×#55211yescharacteristic
345C2×C53C2×#55311yescharacteristic
346C2×C53C2×#55411yescharacteristic
347C2×C53C2×#55711yescharacteristic
348C2×#125—5316no—
349C2×#125—538no—
350C22×C4⋊C4—531no—
351C22×C4⋊C4—531no—
352C22×C4⋊C4—531no—
353C22×C4⋊C4—531no—
354C22×C4⋊C4—531no—
355C22×C4⋊C4—531no—
356C22×C4⋊C4—531no—
357C22×C4⋊C4—531no—
358C22×C4⋊C4—531no—
359C22×C4⋊C4—531no—
360C22×C4⋊C4—531no—
361C22×C4⋊C4—531no—
362C22×C4⋊C4C2×D5311yescharacteristic
363C22×C4⋊C4C2×D5311yescharacteristic
364C22×C42—531no—
365C22×C42—531no—
366C22×C42—531no—
367C22×C42—531no—
368C22×C42—531no—
369C22×C42—531no—
370C22×C42C2×D5311yescharacteristic
371C22×C42C2×D5311yescharacteristic
372C22×C42C2×D5311yescharacteristic
373#389—538no—
374#389—538no—
375#389—538no—
376#389—538no—
377#387—538no—
378#387—538no—
379#387—538no—
380#387—538no—
381C4×C4⋊C4—538no—
382C4×C4⋊C4—538no—
383C4×C4⋊C4—538no—
384C4×C4⋊C4—538no—
385C4×C4⋊C4—538no—
386C4×C4⋊C4C2×D5318yes—
387C2×#95—531no—
388C2×#95—531no—
389C2×#95—531no—
390C2×#95—531no—
391C2×#95—531no—
392C2×#95—531no—
393C2×#95—531no—
394C2×#95—531no—
395C2×#95—531no—
396C2×#95—531no—
397C2×#95C2×D5311yescharacteristic
398C2×#95C2×D5311yescharacteristic
399C53C2×#237011yescharacteristic, complemented, Sylow
400C23×C4—531no—
401C23×C4—531no—
402C23×C4—531no—
403C23×C4—531no—
404C23×C4—531no—
405C23×C4—531no—
406C23×C4—531no—
407C23×C4—531no—
408C23×C4C22×D5311yescharacteristic
409C23×C4C22×D5311yescharacteristic
410C23×C4C22×D5311yescharacteristic
411C23×C4C22×D5311yescharacteristic
412C23×C4C22×D5311yescharacteristic
413C23×C4C22×D5311yescharacteristic
414C23×C4C22×D5311yescharacteristic
415#125—5364no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—538no—
418C2×C4⋊C4—538no—
419C2×C4⋊C4—538no—
420C2×C4⋊C4—538no—
421C2×C4⋊C4—538no—
422C2×C4⋊C4—538no—
423C2×C4⋊C4—534no—
424C2×C4⋊C4—534no—
425C2×C4⋊C4—534no—
426C2×C4⋊C4—534no—
427C2×C4⋊C4—534no—
428C2×C4⋊C4—534no—
429C2×C4⋊C4—534no—
430C2×C4⋊C4—534no—
431C2×C4⋊C4—534no—
432C2×C4⋊C4—534no—
433C2×C4⋊C4—534no—
434C2×C4⋊C4—534no—
435C2×C4⋊C4—1064no—
436C2×C4⋊C4—1064no—
437C2×C4⋊C4—1064no—
438C2×C4⋊C4—1064no—
439C2×C4⋊C4—2122no—
440C2×C4⋊C4—2122no—
441C2×C4⋊C4C4×D5318yes—
442C2×C4⋊C4C22×D5314yes—
443C2×C4⋊C4C22×D5314yes—
444C2×C42—24no—
445C2×C42—42no—
446C2×C42—42no—
447C2×C42—538no—
448C2×C42—534no—
449C2×C42—534no—
450C2×C42—534no—
451C2×C42—534no—
452C2×C42—534no—
453C2×C42—534no—
454C2×C42—1064no—
455C2×C42—1064no—
456C2×C42—1064no—
457C2×C42—2122no—
458C2×C42—2122no—
459C2×C42C22×D5314yes—
460C2×C42C22×D5314yes—
461C2×C42C22×D5314yes—
462#95—534no—
463#95—534no—
464#95—534no—
465#95—534no—
466#95—534no—
467#95—534no—
468#95—534no—
469#95—534no—
470#95—534no—
471#95—534no—
472#95C22×D5314yes—
473#95C22×D5314yes—
474C24C23×D5311yescharacteristic
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—534no—
491C22×C4—534no—
492C22×C4—534no—
493C22×C4—532no—
494C22×C4—534no—
495C22×C4—534no—
496C22×C4—534no—
497C22×C4—534no—
498C22×C4—532no—
499C22×C4—532no—
500C22×C4—532no—
501C22×C4—532no—
502C22×C4—532no—
503C22×C4—532no—
504C22×C4—532no—
505C22×C4—1062no—
506C22×C4—1062no—
507C22×C4—1062no—
508C22×C4—1062no—
509C22×C4—1062no—
510C22×C4—1062no—
511C22×C4—1062no—
512C22×C4—1062no—
513C22×C4—1062no—
514C22×C4—1062no—
515C22×C4—1062no—
516C22×C4—1062no—
517C22×C4—1062no—
518C22×C4—1062no—
519C22×C4—1062no—
520C22×C4—1062no—
521C22×C4—1062no—
522C22×C4C2×C4×D5314yes—
523C22×C4C2×C4×D5314yes—
524C22×C4C2×C4×D5314yes—
525C22×C4#1171994514yes—
526C22×C4#1171994514yes—
527C22×C4Q8×D5314yes—
528C22×C4C23×D5312yes—
529C22×C4C23×D5312yes—
530C22×C4C23×D5312yes—
531C22×C4C23×D5312yes—
532C22×C4C23×D5312yes—
533C22×C4C23×D5312yes—
534C22×C4C23×D5312yes—
535C4⋊C4—28no—
536C4⋊C4—5316no—
537C4⋊C4—5316no—
538C4⋊C4—5316no—
539C4⋊C4—5316no—
540C4⋊C4—5316no—
541C4⋊C4—5316no—
542C4⋊C4—1068no—
543C4⋊C4—1068no—
544C4⋊C4—1068no—
545C4⋊C4—1068no—
546C4⋊C4—2124no—
547C4⋊C4—2124no—
548C4⋊C4C2×C4×D53116yes—
549C42—28no—
550C42—44no—
551C42—44no—
552C42—5316no—
553C42—1068no—
554C42—1068no—
555C42—1068no—
556C42—2124no—
557C42—2124no—
558C23C22×C4×D5312yes—
559C23C2×Q8×D5312yes—
560C23#41×D5312yes—
561C23C2×#1171994512yes—
562C23C2×#1171994512yes—
563C23#1313326212yes—
564C23#1313326412yes—
565C23C24×D5311yescharacteristic
566C2×C4—28no—
567C2×C4—28no—
568C2×C4—28no—
569C2×C4—28no—
570C2×C4—28no—
571C2×C4—28no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—44no—
588C2×C4—5316no—
589C2×C4—534no—
590C2×C4—534no—
591C2×C4—534no—
592C2×C4—534no—
593C2×C4—534no—
594C2×C4—534no—
595C2×C4—534no—
596C2×C4—1068no—
597C2×C4—1068no—
598C2×C4—1068no—
599C2×C4—1068no—
600C2×C4—1062no—
601C2×C4—1062no—
602C2×C4—1062no—
603C2×C4—1062no—
604C2×C4—1062no—
605C2×C4—1062no—
606C2×C4—1062no—
607C2×C4—1062no—
608C2×C4—1062no—
609C2×C4—1062no—
610C2×C4—1062no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—1062no—
614C2×C4—1062no—
615C2×C4—1062no—
616C2×C4—1062no—
617C2×C4—2124no—
618C2×C4—2124no—
619C2×C4—2124no—
620C2×C4C22×C4×D5314yes—
621C2×C4C22×C4×D5314yes—
622C2×C4C22×C4×D5314yes—
623C2×C4C2×Q8×D5314yes—
624C2×C4C2×#1171994514yes—
625C2×C4C2×#1171994514yes—
626C22C4×Q8×D5314yes—
627C22C4×#1171994514yes—
628C22#1681110214yes—
629C22#1681130614yes—
630C22#1681132214yes—
631C22#1681132814yes—
632C22#1681135114yes—
633C22C23×C4×D5311yescharacteristic
634C22C22×Q8×D5311yescharacteristic
635C22C2×#41×D5311yescharacteristic
636C22C22×#1171994511yescharacteristic
637C22C22×#1171994511yescharacteristic
638C22C2×#1313326211yescharacteristic
639C22C2×#1313326411yescharacteristic
640C4—24no—
641C4—24no—
642C4—24no—
643C4—24no—
644C4—24no—
645C4—24no—
646C4—42no—
647C4—538no—
648C4—1064no—
649C4—1064no—
650C4—1064no—
651C4—1064no—
652C4—2122no—
653C4—2122no—
654C4—2122no—
655C2#2027781218yesdirect product factor
656C2C2×C4×Q8×D5311yescharacteristic
657C2C2×C4×#1171994511yescharacteristic
658C2C2×#1681110211yescharacteristic
659C2C2×#1681130611yescharacteristic
660C2C2×#1681132211yescharacteristic
661C2C2×#1681132811yescharacteristic
662C2C2×#1681135111yescharacteristic
subgroupG/H
centerC24C23×D53
commutatorC22×C53C24×C4
FrattiniC23C24×D53
FittingC2×C4×C4⋊C4×C53C2
socle, prime radicalC24×C53C24
cosocleC23×C53C25
hypercenterC2×C4×C4⋊C4D53
hypocenterC53C2×#2370
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #20277812C2direct (N × H)
17. C2×#13133207C4semidirect
76. #13133207C2×C4semidirect
340. C2×C53#2370semidirect
399. C53C2×#2370semidirect
655. C2#20277812direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#131332072
#202778122
C2×#168105212
C2×#168105202
C2×#168105182
C2×#168105092
C2×#168105082
C2×#168105072
C2×C4×#117199192
C2×#168104742
C2×C4×C4⋊C4×C532
C2×#237053