Finite Group Databasebeta

← #15883247

Subgroups — #15883247

Order 3328.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718889C211yesmaximal, characteristic
2C2×#11718691C211yesmaximal, characteristic, complemented
3C22×#88075C211yesmaximal, characteristic
4#13117839C211yesmaximal, characteristic
5#13115706C211yesmaximal, characteristic, complemented
6#13115529C211yesmaximal, characteristic, complemented
7#13115467C211yesmaximal, characteristic, complemented
8#13115257C211yesmaximal, characteristic
9#13115180C211yesmaximal, characteristic, complemented
10#13115177C211yesmaximal, characteristic, complemented
11#13115104C211yesmaximal, characteristic, complemented
12#13115028C211yesmaximal, characteristic
13#13114666C211yesmaximal, characteristic, complemented
14#13114614C211yesmaximal, characteristic
15Q8×C13×C22⋊C4C211yesmaximal, characteristic
16C23×Q8×C13C2211yescharacteristic
17C2×C4×Q8×C13C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C22×#6107C2211yescharacteristic
20C22×#6107C2211yescharacteristic
21C22×C4⋊Dic13C2211yescharacteristic
22C2×#88178C2211yescharacteristic
23C23×#1055C2211yescharacteristic
24C2×C4×Dic26C2211yescharacteristic
25C13×#391—21no—
26C13×#391—21no—
27C13×#391C2211yescharacteristic
28C13×#391C2211yescharacteristic
29C13×#380—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C22⋊C4—21no—
32C4×C13×C22⋊C4C2211yescharacteristic
33#11718889C418yescomplemented
34C2×#88075—24no—
35C2×#88075C2211yescharacteristic
36C2×#88075C2211yescharacteristic
37C2×#88075C2211yescharacteristic
38C2×#88075C2211yescharacteristic
39C2×#88075C2211yescharacteristic
40C2×#88075C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42#11718691—24no—
43C2×#88050C2211yescharacteristic
44C2×#88050C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88048C2211yescharacteristic
47#11718607—21no—
48C22⋊C4×Dic13—21no—
49C4×C4⋊Dic13C2211yescharacteristic
50#11718590C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54#11718316—21no—
55#11718308—21no—
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62C22×Q8×C13—21no—
63C22×Q8×C13—22no—
64C22×Q8×C13—22no—
65C22×Q8×C13—22no—
66C22×Q8×C13—41no—
67C22×Q8×C13—41no—
68C22×Q8×C13C2×C414yes—
69C22×Q8×C13C2311yescharacteristic
70C22×Q8×C13C2311yescharacteristic
71C23×C4×C13—21no—
72C23×C4×C13C2311yescharacteristic
73C23×Dic13—21no—
74C22×Dic26C2311yescharacteristic
75C4×Q8×C13—22no—
76C4×Q8×C13—22no—
77C4×Q8×C13—41no—
78C4×Q8×C13—41no—
79C2×C13×C4⋊C4—21no—
80C2×C13×C4⋊C4—21no—
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C13×C22⋊C4—21no—
84C2×C13×C22⋊C4D411yescharacteristic
85C2×C13×C22⋊C4D411yescharacteristic
86C2×C42×C13—21no—
87C2×C42×C13—21no—
88C2×C42×C13C2311yescharacteristic
89C2×C42×C13C2311yescharacteristic
90C2×C22⋊Dic13—21no—
91C2×#6107—22no—
92C2×#6107—22no—
93C2×#6107—41no—
94C2×#6107—41no—
95C2×#6107C2×C414yescomplemented
96C2×#6107C2×C414yescomplemented
97C2×C4⋊Dic13—22no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—41no—
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103#88178—22no—
104#88178C2×C414yes—
105C2×#6101—21no—
106C2×#6101—21no—
107C2×#6101—21no—
108C2×C4×Dic13—21no—
109C2×C4×Dic13—21no—
110C22×#1055—22no—
111C22×#1055—22no—
112C22×#1055—41no—
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C22×#1055C2311yescharacteristic
116C22×#1055C2311yescharacteristic
117C4×Dic26—22no—
118C4×Dic26—41no—
119C13×#95—21no—
120C13×#95—21no—
121C13×#95—21no—
122C13×#95—21no—
123C13×#95—21no—
124C13×#95D411yescharacteristic
125C13×#95D411yescharacteristic
126#88075—22no—
127#88075—22no—
128#88075—22no—
129#88075C2×C414yescomplemented
130#88075C2×C414yescomplemented
131#88075D414yes—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136C22⋊#1055C2×C414yes—
137#88050—22no—
138#88050—41no—
139#88048—22no—
140#88048—41no—
141#88043—22no—
142#88043—41no—
143#22859—131nomaximal, Sylow
144C24×C13C2×D411yescharacteristic
145C2×Q8×C13—24no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—28no—
151C2×Q8×C13—21no—
152C2×Q8×C13—21no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13—42no—
156C2×Q8×C13—42no—
157C2×Q8×C13—44no—
158C2×Q8×C13—44no—
159C2×Q8×C13—44no—
160C2×Q8×C13C22×C412yes—
161C2×Q8×C13C22×C412yes—
162C2×Q8×C13C2×D412yes—
163C2×Q8×C13#4112yes—
164C22×C4×C13—21no—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—24no—
170C22×C4×C13—21no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—42no—
174C22×C4×C13—42no—
175C22×C4×C13C22×C412yes—
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13C2×D411yescharacteristic
180C22×C4×C13C2×D411yescharacteristic
181C22×C4×C13#4112yes—
182C22×C4×C13C2411yescharacteristic
183C22×Dic13—21no—
184C22×Dic13—21no—
185C22×Dic13—21no—
186C22×Dic13—21no—
187C22×Dic13—42no—
188C22×Dic13—42no—
189C22×Dic13—81no—
190C2×Dic26—21no—
191C2×Dic26—21no—
192C2×Dic26—21no—
193C2×Dic26—21no—
194C2×Dic26—21no—
195C2×Dic26C22×C412yes—
196C13×C4⋊C4—21no—
197C13×C4⋊C4—21no—
198C13×C4⋊C4—21no—
199C13×C4⋊C4—21no—
200C13×C4⋊C4—42no—
201C13×C4⋊C4—42no—
202C13×C22⋊C4—22no—
203C13×C22⋊C4—22no—
204C13×C22⋊C4—42no—
205C42×C13—21no—
206C42×C13—21no—
207C42×C13—21no—
208C42×C13—21no—
209C42×C13—42no—
210C42×C13—42no—
211C22⋊Dic13—24no—
212#6107—28no—
213#6107—44no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—42no—
219C4⋊Dic13C22×C412yes—
220C4⋊Dic13C2×D412yes—
221#6101—24no—
222#6101—42no—
223#6101—81no—
224C4×Dic13—42no—
225C4×Dic13—81no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#1055—44no—
236C2×#1055C22×C412yes—
237C2×#1055C22×C412yes—
238C2×#1055C2×D412yes—
239C2×#451—131no—
240C2×#441—131no—
241C22×#103—131no—
242#2360—131no—
243Q8×C22⋊C4D1311yescharacteristic
244#1971—131no—
245#1935—131no—
246#1927—131no—
247#1892—131no—
248#1878—131no—
249#1878—131no—
250#1865—131no—
251#1853—131no—
252#1763—131no—
253#1752—131no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13C4×D412yes—
259C23×C13#13712yes—
260C23×C13#13712yes—
261C23×C13C22×D411yescharacteristic
262Q8×C13—22no—
263Q8×C13—22no—
264Q8×C13—22no—
265Q8×C13—22no—
266Q8×C13—22no—
267Q8×C13—48no—
268Q8×C13—41no—
269Q8×C13—41no—
270Q8×C13C4×D414yes—
271C2×C4×C13—22no—
272C2×C4×C13—21no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—21no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—21no—
282C2×C4×C13—21no—
283C2×C4×C13—21no—
284C2×C4×C13—21no—
285C2×C4×C13—21no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
291C2×C4×C13—21no—
292C2×C4×C13—21no—
293C2×C4×C13—48no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13C4×D412yes—
303C2×C4×C13C23×C411yescharacteristic
304C2×C4×C13C22×D411yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C2×C4×C13C2×#4111yescharacteristic
307C2×C4×C13H(5,𝔽2)11yescharacteristic
308C2×C4×C13H(5,𝔽2)11yescharacteristic
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—84no—
322Dic26—22no—
323Dic26—22no—
324Dic26—41no—
325Dic26—41no—
326#1055—22no—
327#1055—22no—
328#1055—22no—
329#1055—41no—
330C23×Q8C2×D1311yescharacteristic
331C22×Q16—131no—
332C22×Q16—131no—
333C23×C8—131no—
334C2×C22⋊Q8—131no—
335C2×C4×Q8—131no—
336C2×C4×Q8C2×D1311yescharacteristic
337C2×C4×Q8C2×D1311yescharacteristic
338C22×C4⋊C4—131no—
339#451—138no—
340#441—264no—
341C2×#106—131no—
342C2×#106—131no—
343C2×#103—131no—
344C2×#103—131no—
345C2×#103—131no—
346C2×#103—131no—
347C2×#103—131no—
348C2×#103—131no—
349C2×#103—131no—
350C2×#103—131no—
351C2×#103—264no—
352C2×C22⋊C8—131no—
353C2×#97—131no—
354C2×#97—131no—
355#391—21no—
356#391—21no—
357#391—131no—
358#391C2×D1311yescharacteristic
359#391C2×D1311yescharacteristic
360#389—131no—
361#389—261no—
362#387—261no—
363#385—261no—
364#380—21no—
365#380C2×D1311yescharacteristic
366C4×C4⋊C4—131no—
367C4×C22⋊C4—21no—
368C4×C22⋊C4—261no—
369C4×C22⋊C4C2×D1311yescharacteristic
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#336—131no—
375#336—131no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—22no—
381C22×C13—22no—
382C22×C13#44114yescomplemented
383C22×C13C2×C4×D411yescharacteristic
384C22×C13D4211yescharacteristic
385C22×C13#54611yescharacteristic
386C22×C13C2×#13711yescharacteristic
387C22×C13C2×#13711yescharacteristic
388C22×C13#57711yescharacteristic
389C22×C13#57811yescharacteristic
390C4×C13—22no—
391C4×C13—24no—
392C4×C13—42no—
393C4×C13—41no—
394C4×C13—41no—
395C4×C13—41no—
396C4×C13—41no—
397C4×C13—81no—
398C4×C13—81no—
399C4×C13C2×C4×D411yescharacteristic
400C4×C13#51811yescharacteristic
401C4×C13#54611yescharacteristic
402C4×C13#55111yescharacteristic
403Dic13—42no—
404Dic13—42no—
405Dic13—42no—
406Dic13—81no—
407C22×Q8—22no—
408C22×Q8—21no—
409C22×Q8—22no—
410C22×Q8—22no—
411C22×Q8—41no—
412C22×Q8—41no—
413C22×Q8—131no—
414C22×Q8C4×D1314yes—
415C22×Q8C22×D1311yescharacteristic
416C22×Q8C22×D1311yescharacteristic
417C23×C4—21no—
418C23×C4—261no—
419C23×C4C22×D1311yescharacteristic
420C2×Q16—134no—
421C2×Q16—134no—
422C2×Q16—262no—
423C2×Q16—262no—
424C2×Q16—521no—
425C2×Q16—521no—
426C22×C8—131no—
427C22×C8—131no—
428C22×C8—131no—
429C22×C8—131no—
430C22×C8—262no—
431C22×C8—262no—
432C22×C8—521no—
433C22⋊Q8—134no—
434C22⋊Q8—262no—
435C4×Q8—22no—
436C4×Q8—22no—
437C4×Q8—41no—
438C4×Q8—41no—
439C4×Q8—262no—
440C4×Q8—521no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—262no—
447C2×C4⋊C4—261no—
448C2×C4⋊C4—261no—
449C2×C4⋊C4—261no—
450C2×C4⋊C4—261no—
451C2×C4⋊C4—521no—
452C2×C4⋊C4C22×D1311yescharacteristic
453C2×C4⋊C4C22×D1311yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—261no—
456C2×C22⋊C4C22⋊D1311yescharacteristic
457C2×C22⋊C4C22⋊D1311yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—261no—
461C2×C42—261no—
462C2×C42C22×D1311yescharacteristic
463C2×C42C22×D1311yescharacteristic
464#106—262no—
465#106—521no—
466#103—134no—
467#103—134no—
468#103—134no—
469#103—262no—
470#103—262no—
471#103—262no—
472#103—262no—
473#103—521no—
474C22⋊C8—134no—
475#97—262no—
476#97—521no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—261no—
483#95—261no—
484#95—261no—
485#95—261no—
486#95C22⋊D1311yescharacteristic
487#95C22⋊D1311yescharacteristic
488C2×C13—24no—
489C2×C13#235811yescharacteristic
490C2×C13C2×#44111yescharacteristic
491C2×C13#294711yescharacteristic
492C2×C13#326611yescharacteristic
493C2×C13#327011yescharacteristic
494C2×C13#331211yescharacteristic
495C2×C13#331611yescharacteristic
496C24C2×C22⋊D1311yescharacteristic
497C2×Q8—24no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—28no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—42no—
508C2×Q8—42no—
509C2×Q8—44no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—132no—
513C2×Q8—261no—
514C2×Q8—261no—
515C2×Q8—261no—
516C2×Q8—261no—
517C2×Q8—261no—
518C2×Q8C2×C4×D1312yes—
519C2×Q8C2×C4×D1312yes—
520C2×Q8D4×D1312yes—
521C2×Q8#612912yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—261no—
534C22×C4—261no—
535C22×C4—261no—
536C22×C4—261no—
537C22×C4—522no—
538C22×C4—522no—
539C22×C4—1041no—
540C22×C4C2×C4×D1312yes—
541C22×C4#612712yes—
542C22×C4C2×C22⋊D1311yescharacteristic
543C22×C4C2×C22⋊D1311yescharacteristic
544C22×C4C2×C22⋊D1311yescharacteristic
545C22×C4C2×C22⋊D1311yescharacteristic
546C22×C4C2×C22⋊D1311yescharacteristic
547C22×C4C23×D1311yescharacteristic
548Q16—268no—
549Q16—524no—
550C2×C8—132no—
551C2×C8—132no—
552C2×C8—132no—
553C2×C8—261no—
554C2×C8—261no—
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—261no—
559C2×C8—261no—
560C2×C8—261no—
561C2×C8—261no—
562C2×C8—524no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—132no—
570C4⋊C4—132no—
571C4⋊C4—264no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—522no—
577C4⋊C4—522no—
578C4⋊C4—1041no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—42no—
582C22⋊C4—264no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—42no—
588C42—42no—
589C42—522no—
590C42—1041no—
591C13#2285911yescharacteristic, complemented, Sylow
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23C4×C22⋊D1312yes—
597C23#8819612yes—
598C23#8820512yes—
599C23C22×C22⋊D1311yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—48no—
606Q8—41no—
607Q8—41no—
608Q8—262no—
609Q8—262no—
610Q8—521no—
611Q8—521no—
612Q8#8813514yes—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4—521no—
656C2×C4—1044no—
657C2×C4C4×C22⋊D1312yes—
658C2×C4C22×C4×D1311yescharacteristic
659C2×C4C2×#612711yescharacteristic
660C2×C4C2×D4×D1311yescharacteristic
661C2×C4C2×#612911yescharacteristic
662C2×C4#8825111yescharacteristic
663C2×C4#8825111yescharacteristic
664C8—262no—
665C8—262no—
666C8—262no—
667C8—521no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1171869114yescomplemented
675C22C2×C4×C22⋊D1311yescharacteristic
676C22D4×C22⋊D1311yescharacteristic
677C22#1171951111yescharacteristic
678C22C2×#8819611yescharacteristic
679C22C2×#8820511yescharacteristic
680C22#1171954211yescharacteristic
681C22#1171954311yescharacteristic
682C4—22no—
683C4—24no—
684C4—41no—
685C4—41no—
686C4—42no—
687C4—41no—
688C4—41no—
689C4—81no—
690C4—81no—
691C4—522no—
692C4—522no—
693C4—522no—
694C4—1041no—
695C4C2×#8813511yescharacteristic
696C4#1171919111yescharacteristic
697C4#1171919511yescharacteristic
698C4#1171920011yescharacteristic
699C2—24no—
700C2#1311781511yescharacteristic
701C2C2×#1171869111yescharacteristic
702C2#1312367911yescharacteristic
703C2#1312634711yescharacteristic
704C2#1312640211yescharacteristic
705C2#1312688711yescharacteristic
706C2#1312694711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingQ8×C13×C22⋊C4C2
socleC23×C13C22×D4
prime radicalC24×C13C2×D4
cosocleC22×C4×C13C24
hypercenterQ8×C22⋊C4D13
hypocenterC13#22859
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#11718691C2semidirect
5. #13115706C2semidirect
6. #13115529C2semidirect
7. #13115467C2semidirect
9. #13115180C2semidirect
10. #13115177C2semidirect
11. #13115104C2semidirect
13. #13114666C2semidirect
33. #11718889C4semidirect
95. C2×#6107C2×C4semidirect
96. C2×#6107C2×C4semidirect
129. #88075C2×C4semidirect
130. #88075C2×C4semidirect
382. C22×C13#441semidirect
591. C13#22859semidirect
674. C22#11718691semidirect

Maximal subgroups

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

subgroupindex
C2×#117188892
C2×#117186912
C22×#880752
#131178392
#131157062
#131155292
#131154672
#131152572
#131151802
#131151772
#131151042
#131150282
#131146662
#131146142
Q8×C13×C22⋊C42
#2285913