Finite Group Databasebeta

← #29586606

Subgroups — #29586606

Order 15616.

1274 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840336C211yesmaximal, characteristic
2C2×#16839771C211yesmaximal, characteristic, complemented
3C2×#16839735C211yesmaximal, characteristic
4#21454263C211yesmaximal, characteristic
5C2×#16839519C211yesmaximal, characteristic, complemented
6C2×#16839518C211yesmaximal, characteristic, complemented
7C2×C61×#419C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C22×#11758194C2211yescharacteristic
10#16840336—22no—
11#16840336—22no—
12#16840336—22no—
13#16840336—22no—
14C2×#14519775C412yescomplemented
15C2×#14519766C412yescomplemented
16C2×#14519760—22no—
17C2×#14519753—22no—
18C2×#14519736C2211yescharacteristic
19C2×#14519736C2211yescharacteristic
20#16839771—22no—
21#16839771—22no—
22C2×#14519701—22no—
23#16839735—22no—
24#16839735—22no—
25C2×#14519691—22no—
26#16839730—22no—
27#16839728—22no—
28#16839725—22no—
29#16839519—22no—
30#16839518—22no—
31C23×Q8×C61C2211yescharacteristic
32C22×M16×C61C2211yescharacteristic
33C2×#117×C61C2211yescharacteristic
34C61×#419—22no—
35C61×#419—22no—
36C2×#103×C61—22no—
37C2×#11758222—21no—
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—
49C22×Dic122C2×C411yescharacteristic
50C22×D244C2×C411yescharacteristic
51C22×C22⋊D61D412yes—
52C22×C4×D61D412yes—
53C2×#11758194—21no—
54C2×#11758194—21no—
55C2×#11758194—21no—
56C2×#11758194—21no—
57C2×#11758194—21no—
58C2×#11758194—21no—
59C22×#92418D412yes—
60#14519775—24no—
61#14519775—24no—
62#14519766—24no—
63#14519766—24no—
64#14519760—28no—
65#14519760—28no—
66#14519753—28no—
67#14519753—28no—
68#14519736—21no—
69#14519736—21no—
70#14519736—21no—
71#14519736—21no—
72#14519736—21no—
73#14519736D412yes—
74#14519736D412yes—
75#14519736D412yes—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×#11758196—24no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×#11758198—24no—
82C2×C4×Dic61—21no—
83C2×C4×Dic61C2×C412yes—
84#14519701—28no—
85#14519691—28no—
86#14519689—28no—
87C22×Q8×C61—21no—
88C22×Q8×C61—21no—
89C22×Q8×C61—21no—
90C22×Q8×C61—21no—
91C22×Q8×C61—21no—
92C22×Q8×C61—21no—
93C22×Q8×C61—21no—
94C22×Q8×C61—21no—
95C22×Q8×C61—21no—
96C22×Q8×C61—21no—
97C22×Q8×C61—21no—
98C22×Q8×C61C2×C412yes—
99C22×Q8×C61D412yes—
100C22×Q8×C61D412yes—
101C23×C4×C61—21no—
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—
109C22×C8×C61D412yes—
110#117×C61—21no—
111#117×C61—21no—
112#117×C61—21no—
113#117×C61D412yes—
114C2×C4⋊C4×C61—21no—
115C2×C22⋊C4×C61—21no—
116C2×C42×C61—21no—
117#103×C61—28no—
118C24×C61C2×D411yescharacteristic
119C23×D61C22⋊C412yes—
120C2×Q8×C61—22no—
121C2×Q8×C61—22no—
122C2×Q8×C61—22no—
123C2×Q8×C61—22no—
124C2×Q8×C61—22no—
125C2×Q8×C61—22no—
126C2×Q8×C61—22no—
127C2×Q8×C61—22no—
128C2×Q8×C61—22no—
129C2×Q8×C61—22no—
130C2×Q8×C61—22no—
131C2×Q8×C61—22no—
132C2×Q8×C61—22no—
133C2×Q8×C61—22no—
134C2×Q8×C61—22no—
135C2×Q8×C61—41no—
136C2×Q8×C61—41no—
137C2×Q8×C61—41no—
138C2×Q8×C61—41no—
139C2×Q8×C61—41no—
140C2×Q8×C61—41no—
141C2×Q8×C61—41no—
142C2×Q8×C61—41no—
143C2×Q8×C61—41no—
144C2×Q8×C61—41no—
145C2×Q8×C61—41no—
146C2×Q8×C61—41no—
147C2×Q8×C61C22⋊C414yes—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—41no—
152C22×C4×C61—41no—
153C22×C4×C61—41no—
154C22×C4×C61—41no—
155C22×C4×C61—41no—
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61#4111yescharacteristic
167C22×C4×C61#4111yescharacteristic
168C22×C4×C61#4111yescharacteristic
169C22×C4×C61#4111yescharacteristic
170C2×C22⋊D61—22no—
171C2×C22⋊D61—22no—
172C2×C22⋊D61—22no—
173C2×C22⋊D61—22no—
174C2×C22⋊D61—22no—
175C2×C22⋊D61—22no—
176C22×Dic61—22no—
177C22×Dic61—41no—
178C22×Dic61C22⋊C412yes—
179#11758222—41no—
180#11758222—41no—
181#11758222—41no—
182#11758222—41no—
183#11758222—41no—
184#11758222—41no—
185#11758222—41no—
186#11758222—41no—
187#11758222—41no—
188#11758222—41no—
189#11758222—41no—
190#11758222—41no—
191#11758222—41no—
192#11758222—41no—
193#11758222—41no—
194#11758222—41no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244—21no—
201C2×C4×D61—22no—
202C2×C4×D61—22no—
203C2×C4×D61—22no—
204C2×C4×D61—22no—
205C2×C4×D61—22no—
206C2×C4×D61—22no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122—21no—
212C2×Dic122—21no—
213M16×C61—41no—
214M16×C61—41no—
215M16×C61—41no—
216M16×C61—41no—
217C2×C8×C61—22no—
218C2×C8×C61—22no—
219C2×C8×C61—22no—
220C4⋊C4×C61—22no—
221C4⋊C4×C61—41no—
222C22⋊C4×C61—22no—
223C22⋊C4×C61—41no—
224C42×C61—22no—
225C42×C61—41no—
226C22⋊Dic61—22no—
227C22⋊Dic61—22no—
228C22⋊Dic61—22no—
229C22⋊Dic61—41no—
230#11758198—216no—
231C4⋊Dic61—22no—
232C4⋊Dic61—22no—
233C4⋊Dic61—22no—
234C4⋊Dic61—41no—
235#11758196—216no—
236C4×Dic61—22no—
237C4×Dic61—22no—
238C4×Dic61—41no—
239C4×Dic61C22⋊C414yes—
240#11758194—41no—
241#11758194—41no—
242#11758194—41no—
243#11758194—41no—
244C2×#92418—22no—
245C2×#92418—22no—
246C2×#92418—22no—
247C23×C61—42no—
248C23×C61C2×C22⋊C411yescharacteristic
249C23×C61#12011yescharacteristic
250C23×C61#12011yescharacteristic
251C23×C61#12011yescharacteristic
252C23×C61#12111yescharacteristic
253C23×C61#12111yescharacteristic
254C23×C61#12311yescharacteristic
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—22no—
258C22×D61—44no—
259Q8×C61—24no—
260Q8×C61—24no—
261Q8×C61—42no—
262Q8×C61—42no—
263Q8×C61—42no—
264Q8×C61—42no—
265Q8×C61—42no—
266Q8×C61—42no—
267C2×C4×C61—24no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—82no—
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C2×C4×C61C4×D411yescharacteristic
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61C4×D411yescharacteristic
281C2×C4×C61C4×D411yescharacteristic
282C2×C4×C61#12011yescharacteristic
283C2×C4×C61#12011yescharacteristic
284C2×C4×C61#12011yescharacteristic
285C2×C4×C61#12011yescharacteristic
286C2×C4×C61#12011yescharacteristic
287C2×C4×C61#12111yescharacteristic
288C2×C4×C61#12111yescharacteristic
289C2×C4×C61#12111yescharacteristic
290C2×C4×C61#12111yescharacteristic
291C2×C4×C61#12111yescharacteristic
292C2×C4×C61#12111yescharacteristic
293C2×C4×C61#12111yescharacteristic
294C2×C4×C61#12111yescharacteristic
295C2×C4×C61#12111yescharacteristic
296C2×C4×C61#12111yescharacteristic
297C2×C4×C61#12311yescharacteristic
298C2×C4×C61#12311yescharacteristic
299C2×C4×C61#12311yescharacteristic
300C2×C4×C61#12411yescharacteristic
301C2×C4×C61#12411yescharacteristic
302C2×C4×C61#12711yescharacteristic
303C2×C4×C61#12711yescharacteristic
304C22⋊D61—42no—
305C22⋊D61—42no—
306C22⋊D61—42no—
307C22⋊D61—42no—
308C2×Dic61—24no—
309C2×Dic61—22no—
310C2×Dic61—22no—
311C2×Dic61—22no—
312C2×Dic61—44no—
313C2×Dic61—42no—
314C2×Dic61—82no—
315D244—41no—
316D244—41no—
317D244—41no—
318D244—41no—
319C4×D61—42no—
320C4×D61—42no—
321C4×D61—42no—
322C4×D61—42no—
323Dic122—41no—
324Dic122—41no—
325Dic122—41no—
326Dic122—41no—
327C8×C61—42no—
328#92418—42no—
329#10988—611nomaximal, Sylow
330C22×C61—22no—
331C22×C61—22no—
332C22×C61—22no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61#37911yescharacteristic
338C22×C61#38611yescharacteristic
339C22×C61#38611yescharacteristic
340C22×C61#39211yescharacteristic
341C22×C61#39211yescharacteristic
342C22×C61#39411yescharacteristic
343C22×C61#39411yescharacteristic
344C2×D61—44no—
345C2×D61—44no—
346C2×D61—42no—
347C2×D61—82no—
348C4×C61—44no—
349C4×C61—82no—
350C4×C61#38611yescharacteristic
351C4×C61#38611yescharacteristic
352C4×C61#39011yescharacteristic
353C4×C61#39011yescharacteristic
354C4×C61#39211yescharacteristic
355C4×C61#39211yescharacteristic
356C4×C61#39411yescharacteristic
357C4×C61#39411yescharacteristic
358Dic61—44no—
359Dic61—42no—
360Dic61—82no—
361C2×#536—611no—
362C2×#419—611no—
363C2×#419D6111yescharacteristic, complemented
364C2×#410—611no—
365#2879—611no—
366C2×H(3,ℤ/4)—611no—
367C2×H(3,ℤ/4)—611no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—21no—
374C2×C61#143811yescharacteristic
375C2×C61#190912yes—
376D61—82no—
377C22×#41—611no—
378C23×Q8C2×D6111yescharacteristic
379C22×M16—611no—
380C22×M16C2×D6111yescharacteristic
381#536—1222no—
382#536—1222no—
383#536—1222no—
384#536—1222no—
385C2×C4⋊Q8—612no—
386C2×#124—612no—
387C2×#123—1222no—
388C2×C22⋊Q8—1222no—
389C2×#117—611no—
390C2×#117—611no—
391C2×#117C2×D6111yescharacteristic
392#419—22no—
393#419—22no—
394#419—1222no—
395#419—1222no—
396C2×#103—22no—
397C2×#103—1222no—
398#410—1222no—
399#410—1222no—
400C2×#99—1222no—
401#408—1222no—
402#408—1222no—
403#407—1222no—
404H(3,ℤ/4)—1222no—
405H(3,ℤ/4)—1222no—
406C61#1098811yescharacteristic, complemented, Sylow
407C2×#41—1221no—
408C2×#41—1221no—
409C2×#41—1221no—
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—
419C22×Q8—21no—
420C22×Q8—21no—
421C22×Q8—21no—
422C22×Q8—21no—
423C22×Q8—21no—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8—21no—
427C22×Q8—21no—
428C22×Q8—21no—
429C22×Q8—21no—
430C22×Q8—611no—
431C22×Q8C4×D6112yes—
432C22×Q8D24412yes—
433C22×Q8C22⋊D6112yes—
434C22×D4—612no—
435C22×D4—611no—
436C23×C4—21no—
437C23×C4—612no—
438C23×C4C22×D6111yescharacteristic
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—21no—
442C2×M16—21no—
443C2×M16—21no—
444C2×M16—21no—
445C2×M16—1221no—
446C2×M16—1221no—
447C2×M16—1221no—
448C2×M16—1221no—
449C2×M16—1221no—
450C2×M16—1221no—
451C22×C8—612no—
452C22×C8C22⋊D6112yes—
453C4⋊Q8—1224no—
454C4⋊Q8—1224no—
455#124—1224no—
456#124—1224no—
457#123—1228no—
458#123—1228no—
459C22⋊Q8—1228no—
460C22⋊Q8—1228no—
461#117—21no—
462#117—21no—
463#117—21no—
464#117—612no—
465#117—612no—
466#117—612no—
467#117—1221no—
468#117—1221no—
469#117—1221no—
470#117—1221no—
471#117—1221no—
472#117C22⋊D6112yes—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—1224no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—1224no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C42—21no—
482C2×C42—612no—
483C2×C42—1221no—
484#103—28no—
485#103—1228no—
486#99—1228no—
487C22⋊C8—1228no—
488C24—612no—
489C24D4×D6111yescharacteristic
490#41—2441no—
491#41—2441no—
492#41—2441no—
493#41—2441no—
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—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—41no—
522C2×Q8—41no—
523C2×Q8—41no—
524C2×Q8—41no—
525C2×Q8—41no—
526C2×Q8—41no—
527C2×Q8—41no—
528C2×Q8—41no—
529C2×Q8—41no—
530C2×Q8—41no—
531C2×Q8—41no—
532C2×Q8—41no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×Q8—1221no—
537C2×Q8—1221no—
538C2×Q8—1221no—
539C2×Q8#1175819814yes—
540C2×D4—1222no—
541C2×D4—1222no—
542C2×D4—1222no—
543C2×D4—1222no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—1221no—
551C2×D4—1221no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—41no—
556C22×C4—41no—
557C22×C4—41no—
558C22×C4—41no—
559C22×C4—41no—
560C22×C4—612no—
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×C4C2×C4×D6111yescharacteristic
570C22×C4C2×D24411yescharacteristic
571C22×C4#1175822211yescharacteristic
572C22×C4#1175822211yescharacteristic
573C22×C4D4×D6111yescharacteristic
574C22×C4D4×D6111yescharacteristic
575C22×C4D4×D6111yescharacteristic
576C22×C4D4×D6111yescharacteristic
577C22×C4D4×D6111yescharacteristic
578C22×C4#1175822411yescharacteristic
579C22×C4#1175822411yescharacteristic
580C22×C4C2×C22⋊D6111yescharacteristic
581C22×C4C2×C22⋊D6111yescharacteristic
582C22×C4C2×C22⋊D6111yescharacteristic
583M16—41no—
584M16—41no—
585M16—41no—
586M16—41no—
587M16—2441no—
588M16—2441no—
589M16—2441no—
590M16—2441no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—1222no—
595C2×C8—1222no—
596C2×C8—1222no—
597C4⋊C4—22no—
598C4⋊C4—41no—
599C4⋊C4—12216no—
600C4⋊C4—1222no—
601C4⋊C4—1222no—
602C4⋊C4—1222no—
603C4⋊C4—2441no—
604C22⋊C4—22no—
605C22⋊C4—41no—
606C22⋊C4—12216no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C22⋊C4—1222no—
610C22⋊C4—2441no—
611C42—22no—
612C42—41no—
613C42—614no—
614C42—1222no—
615C42—1222no—
616C42—2441no—
617C23—42no—
618C23—1222no—
619C23—1222no—
620C23—1222no—
621C23—2444no—
622C23C22⋊C4×D6111yescharacteristic
623C23#1451974511yescharacteristic
624C23#1451974511yescharacteristic
625C23#1451974711yescharacteristic
626C23#1451974811yescharacteristic
627C23#1451975011yescharacteristic
628C23#1451975911yescharacteristic
629Q8—24no—
630Q8—24no—
631Q8—42no—
632Q8—42no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—2441no—
638Q8—2441no—
639Q8—2441no—
640Q8—2441no—
641D4—2442no—
642D4—2442no—
643D4—2442no—
644D4—2442no—
645D4—2441no—
646D4—2441no—
647D4—2441no—
648D4—2441no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—82no—
658C2×C4—1224no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—4882no—
663C2×C4—2442no—
664C2×C4—2444no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4C22⋊C4×D6111yescharacteristic
670C2×C4C2×#1175819811yescharacteristic
671C2×C4#1451973711yescharacteristic
672C2×C4#1451973711yescharacteristic
673C2×C4C4×C22⋊D6111yescharacteristic
674C2×C4C4×C22⋊D6111yescharacteristic
675C2×C4#1451974511yescharacteristic
676C2×C4#1451974511yescharacteristic
677C2×C4#1451974611yescharacteristic
678C2×C4#1451974711yescharacteristic
679C2×C4#1451974711yescharacteristic
680C2×C4#1451974811yescharacteristic
681C2×C4#1451974911yescharacteristic
682C2×C4#1451974911yescharacteristic
683C2×C4#1451974911yescharacteristic
684C2×C4#1451974911yescharacteristic
685C2×C4#1451975011yescharacteristic
686C2×C4#1451975011yescharacteristic
687C2×C4#1451975011yescharacteristic
688C2×C4#1451975111yescharacteristic
689C2×C4#1451975111yescharacteristic
690C2×C4#1451975911yescharacteristic
691C2×C4#1451976011yescharacteristic
692C2×C4#1451976111yescharacteristic
693C2×C4#1451976311yescharacteristic
694C2×C4#1451976311yescharacteristic
695C2×C4#1451977311yescharacteristic
696C2×C4#1451977311yescharacteristic
697C8—42no—
698C8—2442no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—4882no—
707C22—2444no—
708C22—2444no—
709C22—2442no—
710C22#1683961711yescharacteristic
711C22#1683963811yescharacteristic
712C22#1683963811yescharacteristic
713C22#1683967011yescharacteristic
714C22#1683967111yescharacteristic
715C22#1683967711yescharacteristic
716C22#1683967811yescharacteristic
717C4—44no—
718C4—82no—
719C4—4882no—
720C4—2444no—
721C4—2442no—
722C4#1683963911yescharacteristic
723C4#1683964111yescharacteristic
724C4#1683966211yescharacteristic
725C4#1683966211yescharacteristic
726C4#1683967011yescharacteristic
727C4#1683967111yescharacteristic
728C4#1683967711yescharacteristic
729C4#1683967811yescharacteristic
730C2—21no—
731C2—21no—
732C2—21no—
733C2—21no—
734C2—21no—
735C2—21no—
736C2—4882no—
737C2#2144405811yescharacteristic
738C2#2144633812yes—
subgroupG/H
centerC22#16839638
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC2×C61×#419C2
socleC22×C61#386
prime radicalC22×#11758222C22
cosocleC23×C4×C61C23
hypercenterC2×#419D61
hypocenterC61#10988
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
2. C2×#16839771C2semidirect
5. C2×#16839519C2semidirect
6. C2×#16839518C2semidirect
7. C2×C61×#419C2semidirect
14. C2×#14519775C4semidirect
15. C2×#14519766C4semidirect
363. C2×#419D61semidirect
406. C61#10988semidirect

Maximal subgroups

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

subgroupindex
C2×#168403362
C2×#168397712
C2×#168397352
#214542632
C2×#168395192
C2×#168395182
C2×C61×#4192
#1098861