Finite Group Databasebeta

← #29586593

Subgroups — #29586593

Order 15616.

1270 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
1C2×#16840338C211yesmaximal, characteristic
2C2×#16839772C211yesmaximal, characteristic, complemented
3C2×#16839770C211yesmaximal, characteristic, complemented
4C2×#16839744C211yesmaximal, characteristic
5C2×#16839735C211yesmaximal, characteristic
6#21445528C211yesmaximal, characteristic, complemented
7C61×#1733C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C23×Dic122C2211yescharacteristic
10C22×#11758194C2211yescharacteristic
11#16840338—22no—
12#16840338—22no—
13#16840338—22no—
14#16840338—22no—
15C2×#14519777—21no—
16C2×#14519765—21no—
17C2×#14519761—22no—
18C2×#14519757C414yescomplemented
19C2×#14519736C2211yescharacteristic
20#16839772—22no—
21#16839772—22no—
22#16839770—22no—
23#16839770—22no—
24C2×#14519702—22no—
25C2×#14519700—22no—
26#16839744—22no—
27#16839744—22no—
28C2×#14519695—21no—
29C2×#14519693—21no—
30#16839735—22no—
31#16839735—22no—
32C2×#14519691—22no—
33#16839521—22no—
34C22×M16×C61C2211yescharacteristic
35C2×#117×C61C2211yescharacteristic
36C2×#117×C61C2211yescharacteristic
37C61×#339—22no—
38C2×#11758222—21no—
39C2×#11758222—21no—
40C2×#11758222—21no—
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—
50C22×Dic122—21no—
51C22×Dic122—21no—
52C22×Dic122—21no—
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×Dic122C2×C412yes—
62C22×Dic122D411yescharacteristic
63C22×Dic122D412yes—
64C22×Dic122D412yes—
65C22×D244D411yescharacteristic
66C22×C22⋊D61D412yes—
67C23×Dic61—21no—
68C22×C4×D61C2×C412yes—
69C2×#11758194—21no—
70C2×#11758194—21no—
71C2×#11758194—21no—
72C2×#11758194—21no—
73C2×#11758194—21no—
74C2×#11758194D412yes—
75C22×#92418—21no—
76#14519777—24no—
77#14519777—24no—
78#14519765—24no—
79#14519765—24no—
80#14519761—28no—
81#14519761—28no—
82#14519757—28no—
83#14519757—28no—
84#14519736—21no—
85#14519736—21no—
86#14519736—21no—
87#14519736D412yes—
88C2×C4⋊Dic61—24no—
89C2×C4⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×#11758198—24no—
92C2×C4×Dic61—21no—
93#14519702—28no—
94#14519700—28no—
95#14519695—24no—
96#14519693—24no—
97#14519691—28no—
98C23×C4×C61C2311yescharacteristic
99C2×M16×C61—21no—
100C2×M16×C61—21no—
101C2×M16×C61—21no—
102C2×M16×C61—21no—
103C2×M16×C61—21no—
104C2×M16×C61D412yes—
105C22×C8×C61—21no—
106#117×C61—21no—
107#117×C61—21no—
108#117×C61—21no—
109#117×C61—21no—
110#117×C61—21no—
111#117×C61D412yes—
112#117×C61D412yes—
113#117×C61D412yes—
114C2×C4⋊C4×C61—21no—
115C2×C4⋊C4×C61C2×C412yes—
116C2×C22⋊C4×C61—21no—
117C2×C22⋊C4×C61—21no—
118C2×C42×C61—21no—
119C2×C42×C61—21no—
120C24×C61C2×D411yescharacteristic
121C23×D61C22⋊C412yes—
122C22×C4×C61—22no—
123C22×C4×C61—41no—
124C22×C4×C61C22×C411yescharacteristic
125C22×C4×C61C2×D411yescharacteristic
126C22×C4×C61C2×D411yescharacteristic
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×C61#4111yescharacteristic
135C22×C4×C61#4111yescharacteristic
136C22×C4×C61#4111yescharacteristic
137C22×C4×C61#4111yescharacteristic
138C2×C22⋊D61—22no—
139C2×C22⋊D61—22no—
140C2×C22⋊D61—22no—
141C2×C22⋊D61—22no—
142C2×C22⋊D61—22no—
143C2×C22⋊D61—22no—
144C22×Dic61—22no—
145C22×Dic61—22no—
146C22×Dic61—22no—
147C22×Dic61—41no—
148C22×Dic61—41no—
149C22×Dic61—41no—
150C22×Dic61—41no—
151C22×Dic61—41no—
152C22×Dic61C22⋊C412yes—
153#11758222—41no—
154#11758222—41no—
155#11758222—41no—
156#11758222—41no—
157#11758222—41no—
158#11758222—41no—
159#11758222—41no—
160#11758222—41no—
161#11758222—41no—
162#11758222—41no—
163#11758222—41no—
164#11758222—41no—
165#11758222—41no—
166#11758222—41no—
167#11758222—41no—
168#11758222—41no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—22no—
181C2×Dic122—22no—
182C2×Dic122—22no—
183C2×Dic122—22no—
184C2×Dic122—22no—
185C2×Dic122—22no—
186C2×Dic122—22no—
187C2×Dic122—22no—
188C2×Dic122—22no—
189C2×Dic122—22no—
190C2×Dic122—22no—
191C2×Dic122—22no—
192C2×Dic122—22no—
193C2×Dic122—22no—
194C2×Dic122—22no—
195C2×Dic122—22no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122—21no—
199C2×Dic122—21no—
200C2×Dic122—21no—
201C2×Dic122—21no—
202C2×Dic122—41no—
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×Dic122C22⋊C414yes—
215M16×C61—22no—
216M16×C61—22no—
217M16×C61—41no—
218M16×C61—41no—
219C2×C8×C61—22no—
220C2×C8×C61—41no—
221C2×C8×C61—41no—
222C4⋊C4×C61—22no—
223C4⋊C4×C61—22no—
224C4⋊C4×C61—41no—
225C4⋊C4×C61C22⋊C414yes—
226C22⋊C4×C61—22no—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—41no—
230C42×C61—22no—
231C42×C61—22no—
232C42×C61—22no—
233C42×C61—41no—
234C22⋊Dic61—22no—
235C22⋊Dic61—41no—
236#11758198—216no—
237C4⋊Dic61—216no—
238C4⋊Dic61—22no—
239C4⋊Dic61—41no—
240C4×Dic61—22no—
241C4×Dic61—41no—
242#11758194—22no—
243#11758194—22no—
244#11758194—41no—
245#11758194—41no—
246C2×#92418—22no—
247C2×#92418—41no—
248C2×#92418—41no—
249C23×C61—42no—
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61#12011yescharacteristic
252C23×C61#12011yescharacteristic
253C23×C61#12011yescharacteristic
254C23×C61#12111yescharacteristic
255C23×C61#12111yescharacteristic
256C23×C61#12311yescharacteristic
257C22×D61—22no—
258C22×D61—22no—
259C22×D61—22no—
260C22×D61—44no—
261C2×C4×C61—24no—
262C2×C4×C61—44no—
263C2×C4×C61—42no—
264C2×C4×C61—82no—
265C2×C4×C61C2×C22⋊C411yescharacteristic
266C2×C4×C61C2×C22⋊C411yescharacteristic
267C2×C4×C61C4×D411yescharacteristic
268C2×C4×C61C4×D411yescharacteristic
269C2×C4×C61C4×D411yescharacteristic
270C2×C4×C61C4×D411yescharacteristic
271C2×C4×C61#12011yescharacteristic
272C2×C4×C61#12011yescharacteristic
273C2×C4×C61#12011yescharacteristic
274C2×C4×C61#12011yescharacteristic
275C2×C4×C61#12011yescharacteristic
276C2×C4×C61#12111yescharacteristic
277C2×C4×C61#12111yescharacteristic
278C2×C4×C61#12111yescharacteristic
279C2×C4×C61#12111yescharacteristic
280C2×C4×C61#12111yescharacteristic
281C2×C4×C61#12111yescharacteristic
282C2×C4×C61#12111yescharacteristic
283C2×C4×C61#12111yescharacteristic
284C2×C4×C61#12111yescharacteristic
285C2×C4×C61#12111yescharacteristic
286C2×C4×C61#12311yescharacteristic
287C2×C4×C61#12311yescharacteristic
288C2×C4×C61#12311yescharacteristic
289C2×C4×C61#12411yescharacteristic
290C2×C4×C61#12411yescharacteristic
291C2×C4×C61#12711yescharacteristic
292C2×C4×C61#12711yescharacteristic
293C22⋊D61—42no—
294C22⋊D61—42no—
295C22⋊D61—42no—
296C22⋊D61—42no—
297C2×Dic61—22no—
298C2×Dic61—24no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—82no—
309D244—41no—
310D244—41no—
311D244—41no—
312D244—41no—
313C4×D61—42no—
314C4×D61—42no—
315C4×D61—42no—
316C4×D61—42no—
317Dic122—24no—
318Dic122—24no—
319Dic122—42no—
320Dic122—42no—
321Dic122—42no—
322Dic122—42no—
323Dic122—41no—
324Dic122—41no—
325Dic122—42no—
326Dic122—42no—
327Dic122—41no—
328Dic122—41no—
329C8×C61—42no—
330#92418—42no—
331#10985—611nomaximal, Sylow
332C22×C61—22no—
333C22×C61—22no—
334C22×C61—22no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61#37911yescharacteristic
340C22×C61#38611yescharacteristic
341C22×C61#38611yescharacteristic
342C22×C61#39211yescharacteristic
343C22×C61#39211yescharacteristic
344C22×C61#39411yescharacteristic
345C22×C61#39411yescharacteristic
346C2×D61—44no—
347C2×D61—42no—
348C2×D61—82no—
349C2×D61—82no—
350C4×C61—44no—
351C4×C61—82no—
352C4×C61#38611yescharacteristic
353C4×C61#38611yescharacteristic
354C4×C61#39011yescharacteristic
355C4×C61#39011yescharacteristic
356C4×C61#39211yescharacteristic
357C4×C61#39211yescharacteristic
358C4×C61#39411yescharacteristic
359C4×C61#39411yescharacteristic
360Dic61—44no—
361Dic61—42no—
362Dic61—82no—
363C2×#536—611no—
364C2×#419—611no—
365C2×#419—611no—
366C2×#413—611no—
367C2×#410—611no—
368#1733—611no—
369#1733D6111yescharacteristic, complemented
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—21no—
374C2×C61—21no—
375C2×C61—21no—
376C2×C61#143811yescharacteristic
377C2×C61#179612yes—
378D61—82no—
379C22×#41—611no—
380C23×Q8—611no—
381C22×M16—611no—
382C22×M16C2×D6111yescharacteristic
383#536—1222no—
384#536—1222no—
385#536—1222no—
386#536—1222no—
387C2×C4⋊Q8—1221no—
388C2×#124—1221no—
389C2×#123—1222no—
390C2×C22⋊Q8—614no—
391C2×#117—611no—
392C2×#117C2×D6111yescharacteristic
393C2×#117C2×D6111yescharacteristic
394#419—1222no—
395#419—1222no—
396#419—1222no—
397#419—1222no—
398C2×#103—1222no—
399C2×#103—1222no—
400#413—1222no—
401#413—1222no—
402C2×#101—1221no—
403C2×#100—1221no—
404#410—1222no—
405#410—1222no—
406C2×#99—1222no—
407#339—22no—
408#339—1222no—
409C61#1098511yescharacteristic, complemented, Sylow
410C2×#41—1221no—
411C2×#41—1221no—
412C2×#41—1221no—
413C2×#41—1221no—
414C2×#41—1221no—
415C2×#41—1221no—
416C2×#41—1221no—
417C2×#41—1221no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1221no—
421C2×#41—1221no—
422C22×Q8—611no—
423C22×Q8—612no—
424C22×Q8—612no—
425C22×Q8—612no—
426C22×Q8—1221no—
427C22×Q8—1221no—
428C22×Q8—1221no—
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×D4—612no—
438C22×D4—611no—
439C23×C4—612no—
440C23×C4—1221no—
441C23×C4C22×D6111yescharacteristic
442C2×M16—21no—
443C2×M16—21no—
444C2×M16—21no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—612no—
448C2×M16—1221no—
449C2×M16—1221no—
450C2×M16—1221no—
451C2×M16—1221no—
452C2×M16—1221no—
453C2×M16D24412yes—
454C22×C8—21no—
455C22×C8—1221no—
456C4⋊Q8—1224no—
457C4⋊Q8—1224no—
458#124—1224no—
459#124—1224no—
460#123—1228no—
461#123—1228no—
462C22⋊Q8—1228no—
463C22⋊Q8—1228no—
464#117—21no—
465#117—21no—
466#117—21no—
467#117—21no—
468#117—21no—
469#117—612no—
470#117—1221no—
471#117—1221no—
472#117—1221no—
473#117D24412yes—
474#117D24412yes—
475#117C22⋊D6112yes—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—1224no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4C4×D6112yes—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—1224no—
483C2×C22⋊C4—1221no—
484C2×C42—21no—
485C2×C42—21no—
486C2×C42—1221no—
487#103—1228no—
488#103—1228no—
489#101—1224no—
490#100—1224no—
491#99—1228no—
492C24—612no—
493C24D4×D6111yescharacteristic
494#41—2441no—
495#41—2441no—
496#41—2441no—
497#41—2441no—
498#41—2441no—
499#41—2441no—
500#41—2441no—
501#41—2441no—
502#41—2441no—
503#41—2441no—
504#41—2441no—
505#41—2441no—
506#41—2441no—
507#41—2441no—
508#41—2441no—
509#41—2441no—
510C2×Q8—614no—
511C2×Q8—1222no—
512C2×Q8—1222no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1222no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×Q8—1221no—
519C2×Q8—1221no—
520C2×Q8—1222no—
521C2×Q8—1222no—
522C2×Q8—1222no—
523C2×Q8—1222no—
524C2×Q8—1222no—
525C2×Q8—1222no—
526C2×Q8—1222no—
527C2×Q8—1222no—
528C2×Q8—1222no—
529C2×Q8—1222no—
530C2×Q8—1222no—
531C2×Q8—1222no—
532C2×Q8—2441no—
533C2×Q8—2441no—
534C2×Q8—2441no—
535C2×Q8—2441no—
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×D4—1222no—
545C2×D4—1222no—
546C2×D4—1222no—
547C2×D4—1222no—
548C2×D4—1222no—
549C2×D4—1222no—
550C2×D4—1221no—
551C2×D4—1221no—
552C2×D4—1221no—
553C2×D4—1221no—
554C2×D4—1221no—
555C2×D4—1221no—
556C22×C4—22no—
557C22×C4—41no—
558C22×C4—612no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—2441no—
569C22×C4—2441no—
570C22×C4—2441no—
571C22×C4—2441no—
572C22×C4—2441no—
573C22×C4C2×C4×D6111yescharacteristic
574C22×C4C2×D24411yescharacteristic
575C22×C4C2×D24411yescharacteristic
576C22×C4C2×D24411yescharacteristic
577C22×C4#1175822211yescharacteristic
578C22×C4#1175822211yescharacteristic
579C22×C4D4×D6111yescharacteristic
580C22×C4D4×D6111yescharacteristic
581C22×C4D4×D6111yescharacteristic
582C22×C4D4×D6111yescharacteristic
583C22×C4D4×D6111yescharacteristic
584C22×C4#1175822611yescharacteristic
585C22×C4#1175822611yescharacteristic
586C22×C4C2×C22⋊D6111yescharacteristic
587M16—22no—
588M16—22no—
589M16—41no—
590M16—41no—
591M16—1222no—
592M16—1222no—
593M16—2441no—
594M16—2441no—
595C2×C8—22no—
596C2×C8—41no—
597C2×C8—41no—
598C2×C8—1222no—
599C2×C8—2441no—
600C2×C8—2441no—
601C4⋊C4—22no—
602C4⋊C4—22no—
603C4⋊C4—41no—
604C4⋊C4—12216no—
605C4⋊C4—1222no—
606C4⋊C4—2441no—
607C4⋊C4#1175819814yes—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—41no—
612C22⋊C4—12216no—
613C22⋊C4—1222no—
614C22⋊C4—2441no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—41no—
619C42—1222no—
620C42—2441no—
621C23—42no—
622C23—1222no—
623C23—1222no—
624C23—1222no—
625C23—2444no—
626C23C22⋊C4×D6111yescharacteristic
627C23#1451974511yescharacteristic
628C23#1451974711yescharacteristic
629C23#1451974711yescharacteristic
630C23#1451975011yescharacteristic
631C23#1451975211yescharacteristic
632C23#1451976211yescharacteristic
633Q8—1224no—
634Q8—1224no—
635Q8—2442no—
636Q8—2441no—
637Q8—2442no—
638Q8—2442no—
639Q8—2442no—
640Q8—2441no—
641Q8—2442no—
642Q8—2441no—
643Q8—2442no—
644Q8—2441no—
645D4—2442no—
646D4—2442no—
647D4—2442no—
648D4—2442no—
649D4—2441no—
650D4—2441no—
651D4—2441no—
652D4—2441no—
653C2×C4—24no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—82no—
657C2×C4—1224no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—4882no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4C22⋊C4×D6111yescharacteristic
674C2×C4C2×#1175819811yescharacteristic
675C2×C4#1451973911yescharacteristic
676C2×C4#1451973911yescharacteristic
677C2×C4C4×D24411yescharacteristic
678C2×C4C4×D24411yescharacteristic
679C2×C4#1451974511yescharacteristic
680C2×C4#1451974711yescharacteristic
681C2×C4#1451974711yescharacteristic
682C2×C4#1451974711yescharacteristic
683C2×C4#1451974711yescharacteristic
684C2×C4#1451975011yescharacteristic
685C2×C4#1451975011yescharacteristic
686C2×C4#1451975011yescharacteristic
687C2×C4#1451975111yescharacteristic
688C2×C4#1451975111yescharacteristic
689C2×C4#1451975211yescharacteristic
690C2×C4#1451975211yescharacteristic
691C2×C4#1451975211yescharacteristic
692C2×C4#1451975211yescharacteristic
693C2×C4#1451975211yescharacteristic
694C2×C4#1451976211yescharacteristic
695C2×C4#1451976211yescharacteristic
696C2×C4#1451976211yescharacteristic
697C2×C4#1451976511yescharacteristic
698C2×C4#1451976611yescharacteristic
699C2×C4#1451977311yescharacteristic
700C2×C4#1451977411yescharacteristic
701C8—42no—
702C8—2442no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—4882no—
711C22—4882no—
712C22—2444no—
713C22—2442no—
714C22#1683961711yescharacteristic
715C22#1683964011yescharacteristic
716C22#1683964011yescharacteristic
717C22#1683967111yescharacteristic
718C22#1683967211yescharacteristic
719C22#1683967911yescharacteristic
720C22#1683968011yescharacteristic
721C4—44no—
722C4—82no—
723C4—4882no—
724C4—2442no—
725C4—2444no—
726C4#1683964011yescharacteristic
727C4#1683964011yescharacteristic
728C4#1683966311yescharacteristic
729C4#1683966411yescharacteristic
730C4#1683967111yescharacteristic
731C4#1683967211yescharacteristic
732C4#1683967911yescharacteristic
733C4#1683968011yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—4882no—
741C2#2144405911yescharacteristic
742C2#2144579312yes—
subgroupG/H
centerC22#16839617
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC61×#1733C2
socleC22×C61#379
prime radicalC22×#11758222C22
cosocleC23×C4×C61C23
hypercenter#1733D61
hypocenterC61#10985
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1733

Complements

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

NH ≅ G/Ntype
2. C2×#16839772C2semidirect
3. C2×#16839770C2semidirect
6. #21445528C2semidirect
7. C61×#1733C2semidirect
18. C2×#14519757C4semidirect
369. #1733D61semidirect
409. C61#10985semidirect

Maximal subgroups

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

subgroupindex
C2×#168403382
C2×#168397722
C2×#168397702
C2×#168397442
C2×#168397352
#214455282
C61×#17332
#1098561