Finite Group Databasebeta

← C2×#21447102 #29707854

Subgroups — C2×#21447102 #29707854

Order 15616.

1322 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519810C211yesmaximal, characteristic
2C2×#16839810C211yesmaximal, characteristic, complemented
3C2×#16839780C211yesmaximal, characteristic
4C2×#16839770C211yesmaximal, characteristic, complemented
5C2×#16839744C211yesmaximal, characteristic
6C22×#14519695C211yesmaximal, characteristic, complemented
7#21447102C218yesmaximal, direct product factor
8C2×C61×#344C211yesmaximal, characteristic, complemented
9C22×#11758222C2211yescharacteristic
10C23×Dic122C2211yescharacteristic
11C2×#14519810—22no—
12C2×#14519810—22no—
13C2×#14519810—22no—
14C2×#14519810—22no—
15C2×#14519810—22no—
16C2×#14519810C2214yes—
17C22×Dic244—21no—
18C22×#11758190—21no—
19C22×#11758194C2211yescharacteristic
20C22×#11758194C2211yescharacteristic
21#16839810—22no—
22#16839810C2214yescomplemented
23C2×#14519712—22no—
24#16839780—22no—
25#16839780C2214yes—
26C2×#14519705—22no—
27#16839770—22no—
28#16839770C2214yescomplemented
29C2×#14519700—22no—
30#16839744—22no—
31#16839744C2214yes—
32C2×#14519695—22no—
33C2×#14519695—22no—
34C2×#14519695—21no—
35C2×#14519695C2214yescomplemented
36C2×#14519693—21no—
37C22×M16×C61C2211yescharacteristic
38C22×M16×C61C2211yescharacteristic
39C2×#117×C61C2211yescharacteristic
40C61×#344C2214yescomplemented
41C2×#11758222—21no—
42C2×#11758222—21no—
43C2×#11758222—21no—
44C2×#11758222—21no—
45C2×#11758222—21no—
46C2×#11758222—21no—
47C2×#11758222—21no—
48C2×#11758222—21no—
49C2×#11758222—21no—
50C2×#11758222—21no—
51C2×#11758222D412yes—
52C2×#11758222C2312yes—
53C22×Dic122—21no—
54C22×Dic122—21no—
55C22×Dic122—21no—
56C22×Dic122—21no—
57C22×Dic122—21no—
58C22×Dic122—21no—
59C22×Dic122—21no—
60C22×Dic122—21no—
61C22×Dic122—21no—
62C22×Dic122—21no—
63C22×Dic122—21no—
64C22×Dic122D411yescharacteristic
65C22×Dic122D412yes—
66C22×Dic122D412yes—
67C22×Dic122C2312yes—
68C22×D244D411yescharacteristic
69C22×C22⋊D61—21no—
70C23×Dic61—21no—
71C22×C4×D61—21no—
72#14519810—28no—
73#14519810—28no—
74#14519810—28no—
75#14519810—28no—
76C2×Dic244—24no—
77C2×Dic244—24no—
78C2×Dic244—24no—
79C2×#11758190—24no—
80C2×#11758190—24no—
81C2×#11758190—24no—
82C2×#11758194—21no—
83C2×#11758194—21no—
84C2×#11758194—21no—
85C2×#11758194—21no—
86C2×#11758194—21no—
87C2×#11758194—21no—
88C2×#11758194—21no—
89C2×#11758194—21no—
90C2×#11758194D412yes—
91C2×#11758194D412yes—
92C2×#11758194C2312yes—
93C2×#11758194C2312yes—
94C22×#92418—21no—
95C22×#92418—21no—
96#14519712—28no—
97#14519705—28no—
98#14519700—28no—
99#14519695—24no—
100#14519695—28no—
101#14519693—24no—
102C23×C4×C61C2311yescharacteristic
103C2×M16×C61—21no—
104C2×M16×C61—21no—
105C2×M16×C61—21no—
106C2×M16×C61—21no—
107C2×M16×C61—21no—
108C2×M16×C61—21no—
109C2×M16×C61—21no—
110C2×M16×C61—21no—
111C2×M16×C61D412yes—
112C2×M16×C61D412yes—
113C2×M16×C61C2312yes—
114C2×M16×C61C2312yes—
115C22×C8×C61—21no—
116C22×C8×C61—21no—
117#117×C61—21no—
118#117×C61—21no—
119#117×C61—21no—
120#117×C61C2312yes—
121C2×C4⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C42×C61—21no—
124C24×C61#4111yescharacteristic
125C23×D61—21no—
126C22×C4×C61—41no—
127C22×C4×C61C2×D411yescharacteristic
128C22×C4×C61C2×D411yescharacteristic
129C22×C4×C61C2×D411yescharacteristic
130C22×C4×C61C2×D411yescharacteristic
131C22×C4×C61C2×D411yescharacteristic
132C22×C4×C61C2×D411yescharacteristic
133C22×C4×C61C2×D411yescharacteristic
134C22×C4×C61C2×D411yescharacteristic
135C22×C4×C61#4111yescharacteristic
136C22×C4×C61#4111yescharacteristic
137C22×C4×C61#4111yescharacteristic
138C22×C4×C61#4111yescharacteristic
139C22×C4×C61#4111yescharacteristic
140C22×C4×C61C2411yescharacteristic
141C2×C22⋊D61—22no—
142C2×C22⋊D61—22no—
143C2×C22⋊D61—41no—
144C2×C22⋊D61—41no—
145C2×C22⋊D61—41no—
146C2×C22⋊D61—41no—
147C22×Dic61—22no—
148C22×Dic61—22no—
149C22×Dic61—21no—
150C22×Dic61—22no—
151C22×Dic61—41no—
152C22×Dic61—41no—
153C22×Dic61—41no—
154C22×Dic61—41no—
155#11758222—22no—
156#11758222—22no—
157#11758222—22no—
158#11758222—22no—
159#11758222—22no—
160#11758222—22no—
161#11758222—22no—
162#11758222—22no—
163#11758222—41no—
164#11758222—41no—
165#11758222—41no—
166#11758222—41no—
167#11758222—41no—
168#11758222—41no—
169#11758222—41no—
170#11758222—41no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244C2×D412yes—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—41no—
180C2×C4×D61—41no—
181C2×C4×D61—41no—
182C2×C4×D61—41no—
183C2×Dic122—22no—
184C2×Dic122—22no—
185C2×Dic122—22no—
186C2×Dic122—22no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—22no—
192C2×Dic122—22no—
193C2×Dic122—22no—
194C2×Dic122—22no—
195C2×Dic122—22no—
196C2×Dic122—22no—
197C2×Dic122—22no—
198C2×Dic122—22no—
199C2×Dic122—22no—
200C2×Dic122—22no—
201C2×Dic122—21no—
202C2×Dic122—22no—
203C2×Dic122—41no—
204C2×Dic122—41no—
205C2×Dic122—41no—
206C2×Dic122—41no—
207C2×Dic122—41no—
208C2×Dic122—41no—
209C2×Dic122—41no—
210C2×Dic122—41no—
211C2×Dic122—41no—
212C2×Dic122—41no—
213C2×Dic122—41no—
214C2×Dic122—41no—
215C2×Dic122C2×D414yes—
216C2×Dic122C2×D412yes—
217M16×C61—22no—
218M16×C61—22no—
219M16×C61—22no—
220M16×C61—22no—
221M16×C61—22no—
222M16×C61—41no—
223M16×C61—41no—
224M16×C61C2×D414yes—
225C2×C8×C61—22no—
226C2×C8×C61—22no—
227C2×C8×C61—22no—
228C2×C8×C61—22no—
229C2×C8×C61—41no—
230C2×C8×C61—41no—
231C4⋊C4×C61—22no—
232C4⋊C4×C61—41no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—41no—
235C42×C61—22no—
236C42×C61—41no—
237#11758194—22no—
238#11758194—22no—
239#11758194—22no—
240#11758194—22no—
241#11758194—22no—
242#11758194—41no—
243#11758194—41no—
244#11758194C2×D414yes—
245C2×#92418—22no—
246C2×#92418—22no—
247C2×#92418—22no—
248C2×#92418—22no—
249C2×#92418—41no—
250C2×#92418—41no—
251Dic244—216no—
252#11758190—216no—
253C23×C61—42no—
254C23×C61#12111yescharacteristic
255C23×C61#12111yescharacteristic
256C23×C61#12311yescharacteristic
257C23×C61#12311yescharacteristic
258C23×C61#12411yescharacteristic
259C23×C61#12411yescharacteristic
260C23×C61C2×#4111yescharacteristic
261C22×D61—22no—
262C22×D61—41no—
263C22×D61—41no—
264C22×D61—82no—
265C2×C4×C61—42no—
266C2×C4×C61—82no—
267C2×C4×C61#12011yescharacteristic
268C2×C4×C61#12011yescharacteristic
269C2×C4×C61#12011yescharacteristic
270C2×C4×C61#12011yescharacteristic
271C2×C4×C61#12111yescharacteristic
272C2×C4×C61#12111yescharacteristic
273C2×C4×C61#12111yescharacteristic
274C2×C4×C61#12111yescharacteristic
275C2×C4×C61#12111yescharacteristic
276C2×C4×C61#12111yescharacteristic
277C2×C4×C61#12111yescharacteristic
278C2×C4×C61#12111yescharacteristic
279C2×C4×C61#12111yescharacteristic
280C2×C4×C61#12111yescharacteristic
281C2×C4×C61#12311yescharacteristic
282C2×C4×C61#12311yescharacteristic
283C2×C4×C61#12311yescharacteristic
284C2×C4×C61#12311yescharacteristic
285C2×C4×C61#12311yescharacteristic
286C2×C4×C61#12311yescharacteristic
287C2×C4×C61#12411yescharacteristic
288C2×C4×C61#12411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C22⋊D61—42no—
296C22⋊D61—42no—
297C22⋊D61—42no—
298C22⋊D61—42no—
299C2×Dic61—24no—
300C2×Dic61—22no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309D244—22no—
310D244—22no—
311D244—41no—
312D244—41no—
313C4×D61—42no—
314C4×D61—42no—
315C4×D61—42no—
316C4×D61—42no—
317Dic122—24no—
318Dic122—22no—
319Dic122—22no—
320Dic122—24no—
321Dic122—42no—
322Dic122—42no—
323Dic122—42no—
324Dic122—42no—
325Dic122—42no—
326Dic122—42no—
327Dic122—41no—
328Dic122—41no—
329C8×C61—24no—
330C8×C61—42no—
331#92418—24no—
332#92418—42no—
333C2×#2049—611nomaximal, Sylow
334C22×C61—22no—
335C22×C61—22no—
336C22×C61—22no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61#39411yescharacteristic
342C22×C61#39411yescharacteristic
343C22×C61#39411yescharacteristic
344C22×C61#39411yescharacteristic
345C22×C61C2×#12111yescharacteristic
346C22×C61C2×#12311yescharacteristic
347C22×C61C2×#12411yescharacteristic
348C2×D61—42no—
349C2×D61—82no—
350C2×D61—82no—
351C2×D61—82no—
352C4×C61—82no—
353C4×C61#39411yescharacteristic
354C4×C61#39411yescharacteristic
355C4×C61#39411yescharacteristic
356C4×C61#39411yescharacteristic
357C4×C61C2×#12011yescharacteristic
358C4×C61C2×#12111yescharacteristic
359C4×C61C2×#12111yescharacteristic
360C4×C61C2×#12311yescharacteristic
361Dic61—44no—
362Dic61—42no—
363C22×#137—611no—
364C2×#430—611no—
365C2×#421—611no—
366C2×#419—611no—
367C2×#413—611no—
368C22×#101—611no—
369#2049—618no—
370C2×#344D6111yescharacteristic, complemented
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—21no—
374C2×C61—21no—
375C2×C61—21no—
376C2×C61—21no—
377C2×C61#204912yescomplemented
378C2×C61C2×#39411yescharacteristic
379D61—82no—
380C22×#41—611no—
381C23×Q8—611no—
382C2×#137—614no—
383C2×#137—1222no—
384C2×#137—1222no—
385C2×#137—1222no—
386C2×#137—1222no—
387C2×#137—1222no—
388C22×Q16—1221no—
389C22×SD16—1221no—
390C22×M16—611no—
391C22×M16—611no—
392C22×M16C2×D6111yescharacteristic
393C22×M16C2×D6111yescharacteristic
394C2×#117C2×D6111yescharacteristic
395#430—614no—
396#430—1222no—
397C2×#108—1222no—
398#421—614no—
399#421—1222no—
400C2×#104—1222no—
401#419—614no—
402#419—1222no—
403C2×#103—1222no—
404#413—614no—
405#413—1222no—
406C2×#101—614no—
407C2×#101—1222no—
408C2×#101—1222no—
409C2×#101—1221no—
410C2×#100—1221no—
411#344C2×D6114yescomplemented
412C61C2×#204911yescharacteristic, complemented, Sylow
413C2×#41—612no—
414C2×#41—612no—
415C2×#41—1221no—
416C2×#41—1221no—
417C2×#41—1221no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1221no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41—1221no—
424C2×#41—1221no—
425C22×Q8—611no—
426C22×Q8—612no—
427C22×Q8—612no—
428C22×Q8—612no—
429C22×Q8—1221no—
430C22×Q8—1221no—
431C22×Q8—1221no—
432C22×Q8—1221no—
433C22×Q8—1221no—
434C22×Q8—1221no—
435C22×Q8—1221no—
436C22×Q8—1221no—
437C22×Q8—1221no—
438C22×Q8—1221no—
439C22×Q8—1221no—
440C22×D4—611no—
441C22×D4—1221no—
442C23×C4—1221no—
443C23×C4—1221no—
444C23×C4C22×D6111yescharacteristic
445#137—1228no—
446#137—1228no—
447#137—1228no—
448#137—1228no—
449C2×Q16—1224no—
450C2×Q16—1224no—
451C2×Q16—1224no—
452C2×SD16—1224no—
453C2×SD16—1224no—
454C2×SD16—1224no—
455C2×M16—21no—
456C2×M16—21no—
457C2×M16—21no—
458C2×M16—21no—
459C2×M16—21no—
460C2×M16—21no—
461C2×M16—21no—
462C2×M16—21no—
463C2×M16—612no—
464C2×M16—612no—
465C2×M16—612no—
466C2×M16—612no—
467C2×M16—1221no—
468C2×M16—1221no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1221no—
475C2×M16D24412yes—
476C2×M16D24412yes—
477C2×M16C22×D6112yes—
478C2×M16C22×D6112yes—
479C22×C8—21no—
480C22×C8—21no—
481C22×C8—1221no—
482C22×C8—1221no—
483#117—21no—
484#117—21no—
485#117—21no—
486#117C22×D6112yes—
487C2×C4⋊C4—21no—
488C2×C22⋊C4—21no—
489C2×C42—21no—
490#108—1228no—
491#104—1228no—
492#103—1228no—
493#101—1228no—
494#101—1224no—
495#100—1224no—
496C24—1221no—
497C24#1175822211yescharacteristic
498#41—1222no—
499#41—1222no—
500#41—1222no—
501#41—1222no—
502#41—1222no—
503#41—1222no—
504#41—1222no—
505#41—1222no—
506#41—2441no—
507#41—2441no—
508#41—2441no—
509#41—2441no—
510#41—2441no—
511#41—2441no—
512#41—2441no—
513#41—2441no—
514C2×Q8—612no—
515C2×Q8—614no—
516C2×Q8—1222no—
517C2×Q8—1222no—
518C2×Q8—1222no—
519C2×Q8—1221no—
520C2×Q8—1222no—
521C2×Q8—1222no—
522C2×Q8—1222no—
523C2×Q8—1222no—
524C2×Q8—1222no—
525C2×Q8—1222no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1222no—
529C2×Q8—1222no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1222no—
533C2×Q8—1222no—
534C2×Q8—1222no—
535C2×Q8—1222no—
536C2×Q8—2441no—
537C2×Q8—2441no—
538C2×Q8—2441no—
539C2×Q8—2441no—
540C2×Q8—2441no—
541C2×Q8—2441no—
542C2×Q8—2441no—
543C2×Q8—2441no—
544C2×Q8—2441no—
545C2×Q8—2441no—
546C2×Q8—2441no—
547C2×Q8—2441no—
548C2×D4—612no—
549C2×D4—1222no—
550C2×D4—1222no—
551C2×D4—1221no—
552C2×D4—1221no—
553C2×D4—1221no—
554C2×D4—1221no—
555C2×D4—1221no—
556C2×D4—2441no—
557C2×D4—2441no—
558C2×D4—2441no—
559C2×D4—2441no—
560C22×C4—41no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1221no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—2441no—
568C22×C4—2441no—
569C22×C4—2441no—
570C22×C4—2441no—
571C22×C4—2441no—
572C22×C4—2441no—
573C22×C4—2441no—
574C22×C4—2441no—
575C22×C4C2×D24411yescharacteristic
576C22×C4C2×D24411yescharacteristic
577C22×C4#1175822211yescharacteristic
578C22×C4#1175822211yescharacteristic
579C22×C4#1175822211yescharacteristic
580C22×C4D4×D6111yescharacteristic
581C22×C4D4×D6111yescharacteristic
582C22×C4D4×D6111yescharacteristic
583C22×C4D4×D6111yescharacteristic
584C22×C4D4×D6111yescharacteristic
585C22×C4D4×D6111yescharacteristic
586C22×C4#1175822611yescharacteristic
587C22×C4#1175822611yescharacteristic
588C22×C4C23×D6111yescharacteristic
589Q16—12216no—
590SD16—12216no—
591M16—22no—
592M16—22no—
593M16—22no—
594M16—22no—
595M16—22no—
596M16—41no—
597M16—41no—
598M16—614no—
599M16—1222no—
600M16—1222no—
601M16—1222no—
602M16—1222no—
603M16—1222no—
604M16—2441no—
605M16—2441no—
606M16C2×D24414yes—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—22no—
610C2×C8—22no—
611C2×C8—41no—
612C2×C8—41no—
613C2×C8—1222no—
614C2×C8—1222no—
615C2×C8—1222no—
616C2×C8—1222no—
617C2×C8—2441no—
618C2×C8—2441no—
619C4⋊C4—22no—
620C4⋊C4—41no—
621C22⋊C4—22no—
622C22⋊C4—41no—
623C42—22no—
624C42—41no—
625C23—42no—
626C23—1222no—
627C23—4882no—
628C23—2441no—
629C23—2441no—
630C23#1451975011yescharacteristic
631C23#1451975011yescharacteristic
632C23#1451976211yescharacteristic
633C23#1451976211yescharacteristic
634C23#1451976511yescharacteristic
635C23#1451976511yescharacteristic
636C23C2×#1175822211yescharacteristic
637Q8—1224no—
638Q8—1222no—
639Q8—1222no—
640Q8—1224no—
641Q8—2442no—
642Q8—2442no—
643Q8—2442no—
644Q8—2442no—
645Q8—2441no—
646Q8—2441no—
647Q8—2442no—
648Q8—2442no—
649D4—1222no—
650D4—1222no—
651D4—2442no—
652D4—2442no—
653D4—2442no—
654D4—2442no—
655D4—2441no—
656D4—2441no—
657C2×C4—42no—
658C2×C4—82no—
659C2×C4—1224no—
660C2×C4—1222no—
661C2×C4—2441no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4—2441no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4#1451974711yescharacteristic
674C2×C4#1451974711yescharacteristic
675C2×C4#1451974711yescharacteristic
676C2×C4#1451974711yescharacteristic
677C2×C4#1451975011yescharacteristic
678C2×C4#1451975011yescharacteristic
679C2×C4#1451975011yescharacteristic
680C2×C4#1451975011yescharacteristic
681C2×C4#1451975011yescharacteristic
682C2×C4#1451975011yescharacteristic
683C2×C4#1451975211yescharacteristic
684C2×C4#1451975211yescharacteristic
685C2×C4#1451975211yescharacteristic
686C2×C4#1451975211yescharacteristic
687C2×C4#1451976211yescharacteristic
688C2×C4#1451976211yescharacteristic
689C2×C4#1451976211yescharacteristic
690C2×C4#1451976211yescharacteristic
691C2×C4#1451976211yescharacteristic
692C2×C4#1451976211yescharacteristic
693C2×C4#1451976511yescharacteristic
694C2×C4#1451976511yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C2×D4×D6111yescharacteristic
697C2×C4C2×D4×D6111yescharacteristic
698C2×C4C22×D24411yescharacteristic
699C2×C4C2×#1175822211yescharacteristic
700C2×C4C2×#1175822611yescharacteristic
701C8—24no—
702C8—42no—
703C8—1224no—
704C8—2442no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—4882no—
713C22—4882no—
714C22—4882no—
715C22—2442no—
716C22#1683968011yescharacteristic
717C22#1683968011yescharacteristic
718C22#1683968011yescharacteristic
719C22#1683968011yescharacteristic
720C22C2×#1451975011yescharacteristic
721C22C2×#1451976211yescharacteristic
722C22C2×#1451976511yescharacteristic
723C4—82no—
724C4—2442no—
725C4—2444no—
726C4#1683968011yescharacteristic
727C4#1683968011yescharacteristic
728C4#1683968011yescharacteristic
729C4#1683968011yescharacteristic
730C4C2×#1451974711yescharacteristic
731C4C2×#1451975011yescharacteristic
732C4C2×#1451975211yescharacteristic
733C4C2×#1451976211yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—4882no—
741C2#2144710212yesdirect product factor
742C2C2×#1683968011yescharacteristic
subgroupG/H
centerC22#16839680
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#344C2
socleC22×C61#394
prime radicalC22×#11758222C22
hypercenterC2×#344D61
hypocenterC61C2×#2049
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#344

Complements

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

NH ≅ G/Ntype
2. C2×#16839810C2semidirect
4. C2×#16839770C2semidirect
6. C22×#14519695C2semidirect
7. #21447102C2direct (N × H)
8. C2×C61×#344C2semidirect
22. #16839810C22semidirect
28. #16839770C22semidirect
35. C2×#14519695C22semidirect
40. C61×#344C22semidirect
370. C2×#344D61semidirect
377. C2×C61#2049semidirect
411. #344C2×D61semidirect
412. C61C2×#2049semidirect
741. C2#21447102direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198102
C2×#168398102
C2×#168397802
C2×#168397702
C2×#168397442
C22×#145196952
#214471022
C2×C61×#3442
C2×#204961