Finite Group Databasebeta

← C2×#13120412 #16033674

Subgroups — C2×#13120412 #16033674

Order 3328.

2766 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic26C211yesmaximal, characteristic, complemented
2C22×#88146C211yesmaximal, characteristic
3#13120412C2116yesmaximal, direct product factor
4C2×#11718645C211yesmaximal, characteristic, complemented
5C2×#11718336C211yesmaximal, characteristic
6C2×#11718317C211yesmaximal, characteristic, complemented
7C2×#11718334C211yesmaximal, characteristic
8C2×#11718331C211yesmaximal, characteristic
9C2×#11718601C211yesmaximal, characteristic
10C2×#11718316C211yesmaximal, characteristic, complemented
11C2×#11718315C211yesmaximal, characteristic, complemented
12C2×#11718639C211yesmaximal, characteristic, complemented
13C2×#11718329C211yesmaximal, characteristic
14C2×#11718650C211yesmaximal, characteristic
15C2×#11718312C211yesmaximal, characteristic, complemented
16C2×C13×#387C211yesmaximal, characteristic, complemented
17C23×C4×D13C2211yescharacteristic
18C23×Dic26C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C42×C13C2211yescharacteristic
22C22×#6103C2211yescharacteristic
23C22×#6103C2211yescharacteristic
24C22×#6103C2211yescharacteristic
25C22×#6103C2211yescharacteristic
26C22×#6103C2211yescharacteristic
27C22×#6103C2211yescharacteristic
28C22×C4⋊Dic13C2211yescharacteristic
29C22×C4⋊Dic13C2211yescharacteristic
30C22×C4⋊Dic13C2211yescharacteristic
31C22×#6101C2211yescharacteristic
32C22×#6101C2211yescharacteristic
33C22×#6101C2211yescharacteristic
34C22×#6101C2211yescharacteristic
35C22×C4×Dic13C2211yescharacteristic
36C22×C4×Dic13C2211yescharacteristic
37C22×C4×Dic13C2211yescharacteristic
38C2×#88146—28no—
39C2×#88146C2218yes—
40C2×C4×Dic26—28no—
41C2×C4×Dic26C2218yescomplemented
42C13×#387C2218yescomplemented
43C2×C13×#95C2211yescharacteristic
44C2×C13×#95C2211yescharacteristic
45C2×C13×#95C2211yescharacteristic
46C2×C13×#95C2211yescharacteristic
47C2×#88071C2211yescharacteristic
48C2×#88071C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C2×#88071C2211yescharacteristic
52C2×#88071C2211yescharacteristic
53C2×#88071C2211yescharacteristic
54C2×#88071C2211yescharacteristic
55C2×#88071C2211yescharacteristic
56C2×#88071C2211yescharacteristic
57#11718650C2218yes—
58#11718645C2218yescomplemented
59#11718639C2218yescomplemented
60#11718601C2218yes—
61#11718336C2218yes—
62#11718334C2218yes—
63#11718331C2218yes—
64#11718329C2218yes—
65#11718317C2218yescomplemented
66#11718316C2218yescomplemented
67#11718315C2218yescomplemented
68#11718312C2218yescomplemented
69C24×D13C2311yescharacteristic
70C23×C4×C13C2311yescharacteristic
71C23×C4×C13C2311yescharacteristic
72C23×C4×C13C2311yescharacteristic
73C23×C4×C13C2311yescharacteristic
74C23×C4×C13C2311yescharacteristic
75C23×C4×C13C2311yescharacteristic
76C23×C4×C13C2311yescharacteristic
77C23×Dic13C2311yescharacteristic
78C23×Dic13C2311yescharacteristic
79C23×Dic13C2311yescharacteristic
80C23×Dic13C2311yescharacteristic
81C23×Dic13C2311yescharacteristic
82C23×Dic13C2311yescharacteristic
83C23×Dic13C2311yescharacteristic
84C22×C4×D13—24no—
85C22×C4×D13—24no—
86C22×C4×D13—24no—
87C22×C4×D13C2314yes—
88C22×Dic26—24no—
89C22×Dic26—24no—
90C22×Dic26—24no—
91C22×Dic26C2314yes—
92C2×C13×C4⋊C4—24no—
93C2×C13×C4⋊C4—24no—
94C2×C13×C4⋊C4C2314yes—
95C2×C13×C4⋊C4C2314yes—
96C2×C42×C13—24no—
97C2×C42×C13C2314yes—
98C2×#6103—24no—
99C2×#6103—24no—
100C2×#6103—24no—
101C2×#6103—24no—
102C2×#6103—24no—
103C2×#6103—24no—
104C2×#6103C2314yes—
105C2×#6103C2314yes—
106C2×#6103C2314yes—
107C2×#6103C2314yes—
108C2×#6103C2314yes—
109C2×#6103C2314yes—
110C2×C4⋊Dic13—24no—
111C2×C4⋊Dic13—24no—
112C2×C4⋊Dic13—24no—
113C2×C4⋊Dic13C2314yes—
114C2×C4⋊Dic13C2314yes—
115C2×C4⋊Dic13C2314yes—
116C2×#6101—24no—
117C2×#6101—24no—
118C2×#6101—24no—
119C2×#6101—24no—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×#6101C2314yes—
123C2×#6101C2314yes—
124C2×C4×Dic13—24no—
125C2×C4×Dic13—24no—
126C2×C4×Dic13D418yes—
127C2×C4×Dic13C2314yes—
128C2×C4×Dic13C2314yes—
129C2×C4×Dic13C2314yes—
130#88146—232no—
131C4×Dic26—232no—
132C13×#95C2314yes—
133C13×#95C2314yes—
134C13×#95C2314yes—
135C13×#95C2314yes—
136#88071C2314yes—
137#88071C2314yes—
138#88071C2314yes—
139#88071C2314yes—
140#88071C2314yes—
141#88071C2314yes—
142#88071C2314yes—
143#88071C2314yes—
144#88071C2314yes—
145#88071C2314yes—
146C2×#2599—131nomaximal, Sylow
147C24×C13C2411yescharacteristic
148C23×D13—22no—
149C23×D13—22no—
150C23×D13—22no—
151C23×D13—22no—
152C23×D13—22no—
153C23×D13—22no—
154C23×D13#4114yes—
155C23×D13C2412yes—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—22no—
164C22×C4×C13—22no—
165C22×C4×C13—22no—
166C22×C4×C13—22no—
167C22×C4×C13—22no—
168C22×C4×C13—22no—
169C22×C4×C13—22no—
170C22×C4×C13—22no—
171C22×C4×C13—22no—
172C22×C4×C13—22no—
173C22×C4×C13—22no—
174C22×C4×C13C2×D414yes—
175C22×C4×C13#4114yes—
176C22×C4×C13#4114yes—
177C22×C4×C13C2412yes—
178C22×C4×C13C2412yes—
179C22×C4×C13C2412yes—
180C22×C4×C13C2412yes—
181C22×C4×C13C2412yes—
182C22×C4×C13C2412yes—
183C22×C4×C13C2412yes—
184C22×Dic13—22no—
185C22×Dic13—22no—
186C22×Dic13—22no—
187C22×Dic13—22no—
188C22×Dic13—22no—
189C22×Dic13—22no—
190C22×Dic13—22no—
191C22×Dic13—22no—
192C22×Dic13—22no—
193C22×Dic13—22no—
194C22×Dic13—22no—
195C22×Dic13—22no—
196C22×Dic13—22no—
197C22×Dic13—22no—
198C22×Dic13—22no—
199C22×Dic13—22no—
200C22×Dic13—22no—
201C22×Dic13—22no—
202C22×Dic13C2×D414yes—
203C22×Dic13C2×D414yes—
204C22×Dic13#4114yes—
205C22×Dic13C2412yes—
206C22×Dic13C2412yes—
207C22×Dic13C2412yes—
208C22×Dic13C2412yes—
209C22×Dic13C2412yes—
210C22×Dic13C2412yes—
211C22×Dic13C2412yes—
212C2×C4×D13—232no—
213C2×C4×D13—28no—
214C2×C4×D13—28no—
215C2×C4×D13—28no—
216C2×Dic26—232no—
217C2×Dic26—28no—
218C2×Dic26—28no—
219C2×Dic26—28no—
220C13×C4⋊C4—28no—
221C13×C4⋊C4—28no—
222C42×C13—28no—
223#6103—28no—
224#6103—28no—
225#6103—28no—
226#6103—28no—
227#6103—28no—
228#6103—28no—
229C4⋊Dic13—28no—
230C4⋊Dic13—28no—
231C4⋊Dic13—28no—
232#6101—28no—
233#6101—28no—
234#6101—28no—
235#6101—28no—
236C4×Dic13—28no—
237C4×Dic13—28no—
238C4×Dic13C2×D4116yes—
239C22×C4×Q8—131no—
240C22×#117—131no—
241#2599—1316no—
242C2×#398—131no—
243C2×#397—131no—
244C2×#395—131no—
245C2×#393—131no—
246C2×#388—131no—
247C2×#388—131no—
248C2×#387—131no—
249C2×#387—131no—
250C2×#387—131no—
251C2×#387D1311yescharacteristic, complemented
252C2×#385—131no—
253C2×#385—131no—
254C2×#383—131no—
255C23×C13C22×D412yes—
256C23×C13C2×#4112yes—
257C23×C13C2×#4112yes—
258C23×C13C2×#4112yes—
259C23×C13C2×#4112yes—
260C23×C132−1+412yes—
261C23×C132−1+412yes—
262C23×C13C2511yescharacteristic
263C22×D13—28no—
264C22×D13—28no—
265C22×D13—28no—
266C22×D13—22no—
267C22×D13—22no—
268C22×D13—22no—
269C22×D13—22no—
270C22×D13—22no—
271C22×D13—22no—
272C22×D13—44no—
273C22×D13—44no—
274C22×D13—44no—
275C22×D13—44no—
276C22×D13C2×#4114yes—
277C2×C4×C13—28no—
278C2×C4×C13—28no—
279C2×C4×C13—28no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—44no—
299C2×C4×C13—44no—
300C2×C4×C13—44no—
301C2×C4×C13—44no—
302C2×C4×C13C22×D414yes—
303C2×C4×C13C2×#4114yes—
304C2×C4×C13C2×#4114yes—
305C2×Dic13—28no—
306C2×Dic13—28no—
307C2×Dic13—28no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—22no—
324C2×Dic13—22no—
325C2×Dic13—22no—
326C2×Dic13—44no—
327C2×Dic13—44no—
328C2×Dic13—44no—
329C2×Dic13—44no—
330C2×Dic13C22×D414yes—
331C2×Dic13C22×D414yes—
332C2×Dic13C2×#4114yes—
333C4×D13—232no—
334Dic26—232no—
335C23×Q8—131no—
336C24×C4—131no—
337C2×C4×Q8—138no—
338C2×C4×Q8—268no—
339C2×#117—138no—
340C2×#117—268no—
341C22×C4⋊C4—131no—
342C22×C4⋊C4—131no—
343C22×C4⋊C4—131no—
344C22×C4⋊C4—131no—
345C22×C4⋊C4—131no—
346C22×C4⋊C4—131no—
347C22×C4⋊C4—131no—
348C22×C4⋊C4C2×D1311yescharacteristic
349C22×C4⋊C4C2×D1311yescharacteristic
350C22×C22⋊C4—131no—
351C22×C22⋊C4—131no—
352C22×C22⋊C4—131no—
353C22×C22⋊C4—131no—
354C22×C22⋊C4—131no—
355C22×C22⋊C4—131no—
356C22×C42—131no—
357C22×C42—131no—
358C22×C42—131no—
359C22×C42C2×D1311yescharacteristic
360#398—138no—
361#397—138no—
362#395—138no—
363#393—138no—
364#388—138no—
365#388—138no—
366#387—138no—
367#387—138no—
368#387—138no—
369#387C2×D1318yescomplemented
370#385—138no—
371#385—138no—
372#383—138no—
373C2×#95—131no—
374C2×#95—131no—
375C2×#95—131no—
376C2×#95—131no—
377C2×#95—131no—
378C2×#95—131no—
379C2×#95—131no—
380C2×#95—131no—
381C2×#95—131no—
382C2×#95—131no—
383C2×#95C2×D1311yescharacteristic
384C2×#95C2×D1311yescharacteristic
385C2×#95C2×D1311yescharacteristic
386C2×#95C2×D1311yescharacteristic
387C22×C13#52514yes—
388C22×C13#52514yes—
389C22×C13#53614yes—
390C22×C13#55214yes—
391C22×C13#55214yes—
392C22×C13#55614yes—
393C22×C13#55614yes—
394C22×C13C23×D411yescharacteristic
395C22×C13C22×#4111yescharacteristic
396C22×C13C22×#4111yescharacteristic
397C22×C13C22×#4111yescharacteristic
398C22×C13C22×#4111yescharacteristic
399C22×C13C2×2−1+411yescharacteristic
400C22×C13C2×2−1+411yescharacteristic
401C2×D13—24no—
402C2×D13—24no—
403C2×D13—24no—
404C2×D13—416no—
405C2×D13—42no—
406C2×D13—42no—
407C2×D13—42no—
408C2×D13—42no—
409C4×C13—24no—
410C4×C13—24no—
411C4×C13—24no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13—42no—
416Dic13—24no—
417Dic13—24no—
418Dic13—24no—
419Dic13—42no—
420Dic13—42no—
421Dic13—42no—
422Dic13—42no—
423C25—131no—
424C22×Q8—134no—
425C22×Q8—264no—
426C22×Q8—264no—
427C22×Q8—264no—
428C23×C4—131no—
429C23×C4—131no—
430C23×C4—131no—
431C23×C4—131no—
432C23×C4—131no—
433C23×C4—131no—
434C23×C4—131no—
435C23×C4—134no—
436C23×C4—264no—
437C23×C4—264no—
438C23×C4—264no—
439C23×C4C22×D1311yescharacteristic
440C23×C4C22×D1311yescharacteristic
441C23×C4C22×D1311yescharacteristic
442C23×C4C22×D1311yescharacteristic
443C23×C4C22×D1311yescharacteristic
444C23×C4C22×D1311yescharacteristic
445C23×C4C22×D1311yescharacteristic
446C4×Q8—2632no—
447#117—2632no—
448C2×C4⋊C4—24no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—134no—
451C2×C4⋊C4—134no—
452C2×C4⋊C4—134no—
453C2×C4⋊C4—134no—
454C2×C4⋊C4—134no—
455C2×C4⋊C4—134no—
456C2×C4⋊C4—134no—
457C2×C4⋊C4—264no—
458C2×C4⋊C4—264no—
459C2×C4⋊C4—264no—
460C2×C4⋊C4—264no—
461C2×C4⋊C4—264no—
462C2×C4⋊C4—264no—
463C2×C4⋊C4—264no—
464C2×C4⋊C4C22×D1314yes—
465C2×C4⋊C4C22×D1314yes—
466C2×C22⋊C4—134no—
467C2×C22⋊C4—134no—
468C2×C22⋊C4—134no—
469C2×C22⋊C4—134no—
470C2×C22⋊C4—134no—
471C2×C22⋊C4—134no—
472C2×C22⋊C4—264no—
473C2×C22⋊C4—264no—
474C2×C22⋊C4—264no—
475C2×C22⋊C4—264no—
476C2×C22⋊C4—264no—
477C2×C22⋊C4—264no—
478C2×C42—24no—
479C2×C42—138no—
480C2×C42—134no—
481C2×C42—134no—
482C2×C42—134no—
483C2×C42—264no—
484C2×C42—264no—
485C2×C42C22×D1314yes—
486#95—134no—
487#95—134no—
488#95—134no—
489#95—134no—
490#95—134no—
491#95—134no—
492#95—134no—
493#95—134no—
494#95—134no—
495#95—134no—
496#95C22×D1314yes—
497#95C22×D1314yes—
498#95C22×D1314yes—
499#95C22×D1314yes—
500C2×C13#259918yescomplemented
501C2×C13C2×#52511yescharacteristic
502C2×C13C2×#52511yescharacteristic
503C2×C13C2×#53611yescharacteristic
504C2×C13C2×#55211yescharacteristic
505C2×C13C2×#55211yescharacteristic
506C2×C13C2×#55611yescharacteristic
507C2×C13C2×#55611yescharacteristic
508D13—44no—
509C24—134no—
510C24—132no—
511C24—262no—
512C24—262no—
513C24—262no—
514C24—262no—
515C24—262no—
516C24—262no—
517C24C23×D1311yescharacteristic
518C2×Q8—268no—
519C2×Q8—268no—
520C2×Q8—2632no—
521C2×Q8—268no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—134no—
541C22×C4—134no—
542C22×C4—134no—
543C22×C4—132no—
544C22×C4—132no—
545C22×C4—132no—
546C22×C4—132no—
547C22×C4—132no—
548C22×C4—132no—
549C22×C4—132no—
550C22×C4—268no—
551C22×C4—268no—
552C22×C4—2632no—
553C22×C4—262no—
554C22×C4—262no—
555C22×C4—262no—
556C22×C4—262no—
557C22×C4—262no—
558C22×C4—262no—
559C22×C4—268no—
560C22×C4—262no—
561C22×C4—262no—
562C22×C4—262no—
563C22×C4—262no—
564C22×C4—262no—
565C22×C4—262no—
566C22×C4—262no—
567C22×C4—262no—
568C22×C4—262no—
569C22×C4—262no—
570C22×C4—262no—
571C22×C4—262no—
572C22×C4#612714yes—
573C22×C4D4×D1314yes—
574C22×C4#613114yes—
575C22×C4C23×D1312yes—
576C22×C4C23×D1312yes—
577C22×C4C23×D1312yes—
578C22×C4C23×D1312yes—
579C22×C4C23×D1312yes—
580C22×C4C23×D1312yes—
581C22×C4C23×D1312yes—
582C4⋊C4—28no—
583C4⋊C4—28no—
584C4⋊C4—268no—
585C4⋊C4—268no—
586C4⋊C4—268no—
587C4⋊C4—268no—
588C4⋊C4—268no—
589C4⋊C4—268no—
590C4⋊C4—268no—
591C22⋊C4—268no—
592C22⋊C4—268no—
593C22⋊C4—268no—
594C22⋊C4—268no—
595C22⋊C4—268no—
596C22⋊C4—268no—
597C42—28no—
598C42—1316no—
599C42—268no—
600C42—268no—
601C13C2×#259911yescharacteristic, complemented, Sylow
602C23—134no—
603C23—268no—
604C23—262no—
605C23—262no—
606C23—262no—
607C23—262no—
608C23—262no—
609C23—262no—
610C23—268no—
611C23—268no—
612C23—524no—
613C23—524no—
614C23—524no—
615C23—524no—
616C23C2×#612712yes—
617C23C2×D4×D1312yes—
618C23C2×#613112yes—
619C23#41×D1312yes—
620C23#41×D1312yes—
621C23#8825712yes—
622C23#8825712yes—
623C23C24×D1311yescharacteristic
624Q8—2632no—
625C2×C4—28no—
626C2×C4—28no—
627C2×C4—28no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—134no—
651C2×C4—134no—
652C2×C4—134no—
653C2×C4—2632no—
654C2×C4—268no—
655C2×C4—268no—
656C2×C4—268no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—262no—
670C2×C4—262no—
671C2×C4—262no—
672C2×C4—262no—
673C2×C4—262no—
674C2×C4—262no—
675C2×C4—524no—
676C2×C4—524no—
677C2×C4—524no—
678C2×C4—524no—
679C2×C4C2×#612714yes—
680C2×C4C2×D4×D1314yes—
681C2×C4C2×#613114yes—
682C22—264no—
683C22—264no—
684C22—264no—
685C22—522no—
686C22—5216no—
687C22—522no—
688C22—522no—
689C22—522no—
690C22#1171923814yes—
691C22#1171925214yes—
692C22#1171928914yes—
693C22#1171933214yes—
694C22#1171935314yes—
695C22#1171939914yes—
696C22#1171941314yes—
697C22C22×#612711yescharacteristic
698C22C22×D4×D1311yescharacteristic
699C22C22×#613111yescharacteristic
700C22C2×#41×D1311yescharacteristic
701C22C2×#41×D1311yescharacteristic
702C22C2×#8825711yescharacteristic
703C22C2×#8825711yescharacteristic
704C4—24no—
705C4—24no—
706C4—24no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—42no—
711C4—264no—
712C4—264no—
713C4—264no—
714C4—522no—
715C4—522no—
716C4—522no—
717C4—522no—
718C2—524no—
719C2#1312041218yesdirect product factor
720C2C2×#1171925211yescharacteristic
721C2C2×#1171933211yescharacteristic
722C2C2×#1171935311yescharacteristic
723C2C2×#1171941311yescharacteristic
724C2C2×#1171939911yescharacteristic
725C2C2×#1171923811yescharacteristic
726C2C2×#1171928911yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#387C2
socleC24×C13C24
prime radicalC24×D13C23
hypercenterC2×#387D13
hypocenterC13C2×#2599
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. C22×C4×Dic26C2semidirect
3. #13120412C2direct (N × H)
4. C2×#11718645C2semidirect
6. C2×#11718317C2semidirect
10. C2×#11718316C2semidirect
11. C2×#11718315C2semidirect
12. C2×#11718639C2semidirect
15. C2×#11718312C2semidirect
16. C2×C13×#387C2semidirect
41. C2×C4×Dic26C22semidirect
42. C13×#387C22semidirect
58. #11718645C22semidirect
59. #11718639C22semidirect
65. #11718317C22semidirect
66. #11718316C22semidirect
67. #11718315C22semidirect
68. #11718312C22semidirect
251. C2×#387D13semidirect
369. #387C2×D13semidirect
500. C2×C13#2599semidirect
601. C13C2×#2599semidirect
719. C2#13120412direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×Dic262
C22×#881462
#131204122
C2×#117186452
C2×#117183362
C2×#117183172
C2×#117183342
C2×#117183312
C2×#117186012
C2×#117183162
C2×#117183152
C2×#117186392
C2×#117183292
C2×#117186502
C2×#117183122
C2×C13×#3872
C2×#259913