Finite Group Databasebeta

← #29709565

Subgroups — #29709565

Order 15616.

1042 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839875C211yesmaximal, characteristic, complemented
2C4×#14519751C211yesmaximal, characteristic, complemented
3C4×#14519751C211yesmaximal, characteristic, complemented
4#21447317C211yesmaximal, characteristic, complemented
5#21447252C211yesmaximal, characteristic, complemented
6#21447206C211yesmaximal, characteristic, complemented
7#21447192C211yesmaximal, characteristic, complemented
8#21447130C211yesmaximal, characteristic, complemented
9#21447009C211yesmaximal, characteristic, complemented
10#21447002C211yesmaximal, characteristic, complemented
11#21446817C211yesmaximal, characteristic
12#21445716C211yesmaximal, characteristic, complemented
13#21445645C211yesmaximal, characteristic, complemented
14#21445645C211yesmaximal, characteristic, complemented
15C2×C61×#432C211yesmaximal, characteristic, complemented
16C22×D488C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519751C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×C4×C22⋊D61—21no—
22C2×C4×C22⋊D61—21no—
23#16839875—24no—
24C2×#14519711C2211yescharacteristic
25C2×#14519709C2211yescharacteristic
26C2×#14519709C2211yescharacteristic
27C2×#14519699C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33#16839664C2211yescharacteristic
34#16839664C2211yescharacteristic
35#16839660C2211yescharacteristic
36#16839660C2211yescharacteristic
37#16839653—21no—
38#16839653—21no—
39#16839641—21no—
40#16839641—21no—
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45C4×#11758198—21no—
46C4×#11758198—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53C22×C42×C61C2211yescharacteristic
54C61×#432—24no—
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C2×#97×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C22×D244C2311yescharacteristic
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C22⋊D61—21no—
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C2×D488—22no—
68C2×D488—22no—
69C2×D488—22no—
70#14519751—22no—
71#14519751—22no—
72#14519751—22no—
73#14519751—22no—
74C4×D244—22no—
75C4×D244—22no—
76C4×D244—22no—
77C4×D244—22no—
78C4×C22⋊D61—44no—
79C4×C22⋊D61—44no—
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61—21no—
100#14519711—22no—
101#14519709—22no—
102#14519709—22no—
103#14519699—22no—
104#14519699—22no—
105#14519699—22no—
106#14519699—22no—
107#14519699—22no—
108#14519699—22no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115C23×C4×C61D411yescharacteristic
116C23×C4×C61D411yescharacteristic
117C23×C4×C61C2311yescharacteristic
118C22×C8×C61C2311yescharacteristic
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C2×C42×C61—22no—
123C2×C42×C61—22no—
124C2×C42×C61D411yescharacteristic
125C2×C42×C61D411yescharacteristic
126C2×C42×C61C2311yescharacteristic
127C2×C42×C61C2311yescharacteristic
128C4⋊C8×C61—22no—
129C4⋊C8×C61—22no—
130C22⋊C8×C61—22no—
131C22⋊C8×C61—22no—
132#97×C61—22no—
133#97×C61D414yescomplemented
134C24×C61C2×D411yescharacteristic
135C23×D61—21no—
136C23×D61—21no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—41no—
148C22×C4×C61—41no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—24no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—42no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244#4112yes—
178C2×D244#4112yes—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61C2×D412yes—
196C2×C8×C61C2×D412yes—
197C42×C61—22no—
198C42×C61—22no—
199C42×C61—21no—
200C42×C61—21no—
201C42×C61C2×D412yes—
202C42×C61#4112yes—
203C22⋊Dic61—42no—
204C22⋊Dic61—42no—
205#11758198—24no—
206#11758198—24no—
207#11758198—42no—
208#11758198—42no—
209#11758198—42no—
210#11758198—42no—
211#11758198—42no—
212#11758198—42no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61#4112yes—
224C4⋊Dic61#4112yes—
225#11758196—42no—
226#11758196—42no—
227C4×Dic61—42no—
228C4×Dic61—42no—
229D488—28no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61AGL(1,ℤ/8)12yes—
237C23×C61C22×D411yescharacteristic
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—44no—
265C2×C4×C61—44no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61#12112yes—
271C2×C4×C61#12112yes—
272C2×C4×C61AGL(1,ℤ/8)12yes—
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C22⋊D61—48no—
280C22⋊D61—48no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299D244—22no—
300D244—22no—
301D244—22no—
302D244—22no—
303D244—41no—
304D244—41no—
305D244—41no—
306D244—41no—
307C4×D61—84no—
308C4×D61—84no—
309C8×C61—22no—
310C8×C61—22no—
311C8×C61—41no—
312C8×C61—41no—
313#23708—611nomaximal, Sylow
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61C2×#12111yescharacteristic
322C22×C61#52511yescharacteristic
323C22×C61#52511yescharacteristic
324C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57511yescharacteristic
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C2×D61—81no—
342C4×C61—22no—
343C4×C61—22no—
344C4×C61—22no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61#52511yescharacteristic
348C4×C61#52911yescharacteristic
349C4×C61#52911yescharacteristic
350C4×C61#53211yescharacteristic
351Dic61—42no—
352Dic61—42no—
353Dic61—81no—
354Dic61—81no—
355Dic61—81no—
356Dic61—81no—
357C2×#442—611no—
358C2×#432D6111yescharacteristic, complemented
359C4×#121—611no—
360C4×#121—611no—
361#2088—611no—
362#2077—611no—
363#2067—611no—
364#2065—611no—
365#2054—611no—
366#2034—611no—
367#2033—611no—
368#1999—611no—
369#1776—611no—
370#1762—611no—
371#1762—611no—
372C2×C61—42no—
373C2×C61#239211yescharacteristic
374C2×C61#305511yescharacteristic
375C2×C61#305511yescharacteristic
376C2×C61#310911yescharacteristic
377C2×C61#311111yescharacteristic
378C2×C61#311411yescharacteristic
379C2×C61#311511yescharacteristic
380D61—82no—
381D61—82no—
382C22×D8—611no—
383C2×#121—611no—
384C2×#121—611no—
385C2×C4×D4—611no—
386C2×C4×D4—611no—
387C2×C4×D4—1221no—
388C2×C4×D4—1221no—
389C22×C42C2×D6111yescharacteristic
390#442—1224no—
391#432—24no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106—611no—
395C2×C4⋊C8C2×D6111yescharacteristic
396C2×C4⋊C8C2×D6111yescharacteristic
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#102—611no—
403C2×C22⋊C8C2×D6111yescharacteristic
404C2×C22⋊C8C2×D6111yescharacteristic
405C2×#97C2×D6111yescharacteristic
406C2×#97C2×D6111yescharacteristic
407#390—611no—
408#390—611no—
409#389—611no—
410#389—611no—
411#388—1221no—
412#388—1221no—
413#386—1221no—
414#386—1221no—
415#380—611no—
416#380—611no—
417C4×C4⋊C4—611no—
418C4×C4⋊C4—611no—
419C4×C22⋊C4—1221no—
420C4×C22⋊C4—1221no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427C61#2370811yescharacteristic, complemented, Sylow
428C22×D4—611no—
429C22×D4—611no—
430C22×D4—1221no—
431C22×D4—1221no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4D24411yescharacteristic
435C23×C4D24411yescharacteristic
436C23×C4C22×D6111yescharacteristic
437C2×D8—1222no—
438C2×D8—1222no—
439C2×D8—1222no—
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C22×C8C22×D6111yescharacteristic
443C22×C8C22×D6111yescharacteristic
444#121—1222no—
445#121—1222no—
446#121—1222no—
447#121—1222no—
448C4×D4—1222no—
449C4×D4—1222no—
450C4×D4—1222no—
451C4×D4—1222no—
452C4×D4—2444no—
453C4×D4—2444no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C42—22no—
473C2×C42—22no—
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42D24411yescharacteristic
477C2×C42D24411yescharacteristic
478C2×C42C22×D6111yescharacteristic
479C2×C42C22×D6111yescharacteristic
480#107—1222no—
481#106—1222no—
482#106—1222no—
483C4⋊C8—22no—
484C4⋊C8—22no—
485#102—1222no—
486#102—1222no—
487#102—1222no—
488#102—1222no—
489#102—1222no—
490#102—1222no—
491C22⋊C8—22no—
492C22⋊C8—22no—
493#97—22no—
494#97C22⋊D6114yescomplemented
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501C24—1221no—
502C24—1221no—
503C24C2×D24411yescharacteristic
504C2×D4—612no—
505C2×D4—612no—
506C2×D4—1224no—
507C2×D4—1224no—
508C2×D4—1221no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—2442no—
519C2×D4—2442no—
520C2×D4—2442no—
521C2×D4—2442no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4C2×D24411yescharacteristic
547C22×C4C2×D24411yescharacteristic
548C22×C4C2×D24411yescharacteristic
549C22×C4C2×D24411yescharacteristic
550C22×C4C2×D24411yescharacteristic
551C22×C4C23×D6111yescharacteristic
552D8—1228no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8C2×C22⋊D6112yes—
564C2×C8C2×C22⋊D6112yes—
565C4⋊C4—612no—
566C4⋊C4—612no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C22⋊C4—2442no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—21no—
590C42—21no—
591C42—22no—
592C42—22no—
593C42—2442no—
594C42—2442no—
595C42#1175822212yes—
596C42C2×C22⋊D6112yes—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—1222no—
604C23—1222no—
605C23—2441no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23#1451980512yes—
618C23C22×D24411yescharacteristic
619D4—1222no—
620D4—1222no—
621D4—1222no—
622D4—1222no—
623D4—2448no—
624D4—2448no—
625D4—2441no—
626D4—2441no—
627D4—2441no—
628D4—2441no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—4884no—
650C2×C4—4884no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4#1451975112yes—
668C2×C4#1451975112yes—
669C2×C4#1451980512yes—
670C2×C4C22×C22⋊D6111yescharacteristic
671C2×C4#41×D6111yescharacteristic
672C2×C4#41×D6111yescharacteristic
673C2×C4#41×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4C2×#1175822211yescharacteristic
676C8—22no—
677C8—22no—
678C8—41no—
679C8—41no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22—4881no—
691C22—4881no—
692C22—4881no—
693C22—4881no—
694C22—4881no—
695C22—2442no—
696C22—2442no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22—2442no—
701C22C2×#1451975111yescharacteristic
702C22#1684027411yescharacteristic
703C22#1684027411yescharacteristic
704C22C2×#1451980511yescharacteristic
705C22C2×#1451980511yescharacteristic
706C22#1684056211yescharacteristic
707C22#1684056211yescharacteristic
708C4—22no—
709C4—22no—
710C4—22no—
711C4—41no—
712C4—41no—
713C4—4881no—
714C4—4881no—
715C4—4881no—
716C4—4881no—
717C4—2442no—
718C4—2442no—
719C4#1684026911yescharacteristic
720C4#1684029011yescharacteristic
721C4#1684029011yescharacteristic
722C4#1684030811yescharacteristic
723C2—42no—
724C2—4882no—
725C2—4882no—
726C2#2144905511yescharacteristic
727C2#2145543811yescharacteristic
728C2#2145543811yescharacteristic
729C2#2145591111yescharacteristic
730C2#2145593011yescharacteristic
731C2#2145595911yescharacteristic
732C2#2145597111yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#432C2
socleC23×C61C22×D4
prime radical#21446817C2
hypercenterC2×#432D61
hypocenterC61#23708
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#432

Complements

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

NH ≅ G/Ntype
1. C2×#16839875C2semidirect
2. C4×#14519751C2semidirect
3. C4×#14519751C2semidirect
4. #21447317C2semidirect
5. #21447252C2semidirect
6. #21447206C2semidirect
7. #21447192C2semidirect
8. #21447130C2semidirect
9. #21447009C2semidirect
10. #21447002C2semidirect
12. #21445716C2semidirect
13. #21445645C2semidirect
14. #21445645C2semidirect
15. C2×C61×#432C2semidirect
133. #97×C61D4semidirect
358. C2×#432D61semidirect
427. C61#23708semidirect
494. #97C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398752
C4×#145197512
#214473172
#214472522
#214472062
#214471922
#214471302
#214470092
#214470022
#214468172
#214457162
#214456452
C2×C61×#4322
#2370861