Finite Group Databasebeta

← #14435784

Subgroups — #14435784

Order 1920.

812 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#5545C211yesmaximal, characteristic, complemented
2#11752643C211yesmaximal, characteristic, complemented
3#11751117C211yesmaximal, characteristic, complemented
4C3×#65296C211yesmaximal, characteristic, complemented
5#11749056C211yesmaximal, characteristic, complemented
6#11749033C211yesmaximal, characteristic
7#11749011C211yesmaximal, characteristic, complemented
8#11748989C211yesmaximal, characteristic, complemented
9#11747473C211yesmaximal, characteristic, complemented
10#11747230C211yesmaximal, characteristic, complemented
11#11747176C211yesmaximal, characteristic, complemented
12#11747174C211yesmaximal, characteristic, complemented
13#11747038C211yesmaximal, characteristic, complemented
14#11746882C211yesmaximal, characteristic, complemented
15#11746854C211yesmaximal, characteristic, complemented
16#10614272—31nomaximal, Hall
17C2×C5×D3×D4C2211yescharacteristic
18C3×C4×C5×D4C2211yescharacteristic
19C2×#6716C2211yescharacteristic
20C2×#6715C2211yescharacteristic
21#91764C2211yescharacteristic, complemented
22C5×D4×Dic3C2211yescharacteristic
23C4×C5×#67—21no—
24C2×C5×(C2×D3)⋊C4—21no—
25C5×#893C2211yescharacteristic
26C5×#892C2211yescharacteristic
27C5×#67⋊C4—21no—
28C5×D3×C22⋊C4—21no—
29C4×C5×D12C2211yescharacteristic
30C5×#872C2211yescharacteristic
31C3×#4015C2211yescharacteristic, complemented
32#91460C2211yescharacteristic
33#91438—21no—
34#91428C2211yescharacteristic, complemented
35#91411—21no—
36#91365C2211yescharacteristic
37#91345—21no—
38#91340C2211yescharacteristic, complemented
39#91326—21no—
40C2×#6659C2211yescharacteristic
41C2×#6654C2211yescharacteristic
42#91094C2211yescharacteristic, complemented
43#91093C2211yescharacteristic, complemented
44C4⋊(C3⋊#168)C2211yescharacteristic, complemented
45C3×#3964C2211yescharacteristic
46C3×#3964C2211yescharacteristic
47C3×#3939C2211yescharacteristic, complemented
48C3×#3939C2211yescharacteristic, complemented
49C3×C4⋊#168C2211yescharacteristic, complemented
50#90986C2211yescharacteristic, complemented
51#90986C2211yescharacteristic, complemented
52#90975C2211yescharacteristic, complemented
53#90969C2211yescharacteristic, complemented
54#90966C2211yescharacteristic
55#90966C2211yescharacteristic
56(C2×D3)⋊#168C2211yescharacteristic
57(C2×D3)⋊#168C2211yescharacteristic
58#90953C2211yescharacteristic, complemented
59Dic3×#168C2211yescharacteristic, complemented
60#80952—51nomaximal, Hall
61C5×#518—31no—
62#65868—31no—
63#65507—31no—
64#65506—31no—
65#65307—31no—
66C4×#687—31no—
67#65305—31no—
68#65305—31no—
69#65303—31no—
70C4×#686—31no—
71#65297—31no—
72#65296D311yescharacteristic, complemented
73#65292—31no—
74#65289—31no—
75#65285—31no—
76C23×C5×D3—21no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×D60C2311yescharacteristic
80C2×Dic30C2311yescharacteristic
81C2×C5×#67—21no—
82C22×C5×Dic3—21no—
83C5×D3×D4—22no—
84C5×D3×D4—22no—
85C2×C5×D12C2311yescharacteristic
86C2×C4×C5×D3—21no—
87C2×C4×C5×D3—21no—
88C2×C4×C5×D3C2311yescharacteristic
89C2×C3×Dic10—21no—
90C2×#1203—21no—
91C2×#1200—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C22⋊C4—21no—
94C3×C42×C5C2311yescharacteristic
95#6716—22no—
96#6715—22no—
97#6714—21no—
98#6714—21no—
99C2×C3⋊#168C2311yescharacteristic
100C2×C3⋊#168C2311yescharacteristic
101C5×#217—21no—
102C5×(C2×D3)⋊C4—21no—
103C5×(C2×D3)⋊C4—21no—
104C5×(C2×D3)⋊C4—21no—
105C5×(C2×D3)⋊C4D411yescharacteristic
106C5×(C2×D3)⋊C4D411yescharacteristic
107C5×C4⋊Dic3C2311yescharacteristic
108C5×Dic3⋊C4D411yescharacteristic
109C5×Dic3⋊C4D411yescharacteristic
110C4×C5×Dic3—21no—
111C4×C5×Dic3C2311yescharacteristic
112C3×C4⋊Dic5—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4⋊Dic5C2311yescharacteristic
115C2×C3×#168C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117#6669—21no—
118#6668—21no—
119#6667—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122Dic3×Dic5—21no—
123#6659—22no—
124#6654—22no—
125#5733—51no—
126#5545D511yescharacteristic, complemented
127C3×#474—51no—
128#5084—51no—
129#5016—51no—
130#4889—51no—
131#4888—51no—
132#4885—51no—
133#4872—51no—
134#4844—51no—
135#4840—51no—
136#4785—51no—
137#4776—51no—
138#4773—51no—
139#4758—51no—
140C22×C5×D4—31no—
141C4×C5×D4—31no—
142C4×C5×D4—31no—
143C4×C5×D4—31no—
144C4×C5×D4—61no—
145C4×C5×D4—61no—
146C4×C5×D4C2×D311yescharacteristic
147C5×#117—31no—
148C5×#117—31no—
149C2×C5×C22⋊C4—61no—
150C2×C5×C22⋊C4—61no—
151C2×#687—31no—
152C2×#687—31no—
153C2×#686—31no—
154C2×#686—31no—
155#4076—31no—
156#4070—31no—
157#4044—61no—
158#4042—61no—
159#4031—61no—
160#4029—61no—
161#4021—31no—
162C4×D20—31no—
163#4015C2×D311yescharacteristic, complemented
164C4×Dic10—31no—
165#3964—31no—
166#3964—31no—
167#3964C2×D311yescharacteristic
168#3964C2×D311yescharacteristic
169C22⋊#168—31no—
170C22⋊#168—31no—
171#3942—31no—
172#3942—31no—
173#3941—31no—
174#3941—31no—
175#3940—31no—
176#3940—31no—
177#3939C2×D311yescharacteristic, complemented
178#3939C2×D311yescharacteristic, complemented
179C4⋊#168—31no—
180C4⋊#168C2×D311yescharacteristic, complemented
181#3935—31no—
182C4×#168—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C22×D15—21no—
186C22×C5×D3—21no—
187C22×C5×D3—24no—
188C22×C5×D3—81no—
189C22×C5×D3—81no—
190C22×C5×D3C2×D411yescharacteristic
191C3×C5×D4—21no—
192C3×C5×D4#4112yes—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—81no—
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199D60—21no—
200D60—21no—
201Dic30—21no—
202Dic30—21no—
203C5×#67—24no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—81no—
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C5×Dic3C2×D411yescharacteristic
208C2×C5×Dic3C2×D411yescharacteristic
209C5×D12—21no—
210C5×D12#4112yes—
211C4×C5×D3—21no—
212C4×C5×D3—21no—
213C4×C5×D3—81no—
214C4×C5×D3—81no—
215C2×C3×Dic5—21no—
216C2×C3×Dic5—21no—
217C3×Dic10—81no—
218#1203—81no—
219#1200—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C3×#168—21no—
224C2×D3×D4C2×D511yescharacteristic
225C3×C4⋊Q8—51no—
226C3×C4×D4C2×D511yescharacteristic
227#947—101no—
228#946—101no—
229D4×Dic3C2×D511yescharacteristic
230C2×#214—51no—
231C2×#213—51no—
232C4×#67—21no—
233C2×(C2×D3)⋊C4—21no—
234C2×D24—51no—
235C2×#204—51no—
236#898—101no—
237#897—51no—
238#895—51no—
239#894—101no—
240#893—51no—
241#893C2×D511yescharacteristic
242#892C2×D511yescharacteristic
243#887—51no—
244#67⋊C4—21no—
245D3×C22⋊C4—21no—
246#875—51no—
247C4×D12C2×D511yescharacteristic
248#872C2×D511yescharacteristic
249C3×#107—51no—
250C3×#107—51no—
251C3×C4⋊C8—51no—
252C3×#102—51no—
253C3×#102—51no—
254#821—51no—
255(C2×D3)⋊C8—51no—
256(C2×D3)⋊C8—51no—
257#816—51no—
258#815—51no—
259C8×Dic3—51no—
260#810—51no—
261#809—51no—
262#809—51no—
263#809—51no—
264#808—51no—
265#808—51no—
266C4⋊(C3⋊C8)—51no—
267C24×C5—61no—
268C2×C5×D4—31no—
269C2×C5×D4—61no—
270C2×C5×D4—62no—
271C2×C5×D4—62no—
272C2×C5×D4C22×D311yescharacteristic
273C22×C4×C5—21no—
274C22×C4×C5—31no—
275C22×C4×C5—61no—
276C22×C4×C5—61no—
277C22×C4×C5—61no—
278C2×C22⋊D5—61no—
279C2×D20—31no—
280C2×C4×D5—61no—
281C2×Dic10—21no—
282C2×Dic10—31no—
283C5×C4⋊C4—31no—
284C5×C4⋊C4—31no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C22⋊C4—21no—
288C5×C22⋊C4—31no—
289C5×C22⋊C4—31no—
290C5×C22⋊C4—61no—
291C5×C22⋊C4—61no—
292C5×C22⋊C4—61no—
293C5×C22⋊C4—61no—
294C42×C5—31no—
295C42×C5—61no—
296C42×C5C22×D311yescharacteristic
297C22⋊Dic5—61no—
298#687—62no—
299#687—62no—
300#686—62no—
301#686—62no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306C4⋊Dic5—21no—
307C4⋊Dic5C22×D311yescharacteristic
308C4⋊Dic5C22×D311yescharacteristic
309#683—61no—
310#683—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—151no—
317#518—31no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—51no—
322#463—151no—
323#463—151no—
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—22no—
332C22×C3×C5—41no—
333C22×C3×C5—41no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—41no—
336C2×D15—41no—
337C2×D15—41no—
338C2×C5×D3—21no—
339C2×C5×D3—22no—
340C2×C5×D3—21no—
341C2×C5×D3—21no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3—84no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—41no—
348C3×C4×C5C2×#4111yescharacteristic
349C3×C4×C5C2×#4111yescharacteristic
350Dic15—41no—
351C3×Dic5—41no—
352C3×Dic5—41no—
353C5×Dic3—21no—
354C5×Dic3—21no—
355C5×Dic3—21no—
356C5×Dic3—41no—
357C23×D3—21no—
358C2×C3×Q8—101no—
359C2×C3×D4C22×D511yescharacteristic
360C22×C3×C4—21no—
361C2×#67—21no—
362C22×Dic3—21no—
363D3×D4—22no—
364D3×D4—22no—
365C2×D12—51no—
366C2×D12—101no—
367C2×D12C22×D511yescharacteristic
368C2×C4×D3—21no—
369C2×C4×D3—21no—
370C2×C4×D3—101no—
371C2×C4×D3C22×D511yescharacteristic
372C2×Dic6—51no—
373C2×C3×C8—51no—
374C2×C3×C8—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—21no—
380C3×C42C22×D511yescharacteristic
381#217—21no—
382#214—102no—
383#213—102no—
384(C2×D3)⋊C4—21no—
385(C2×D3)⋊C4—21no—
386(C2×D3)⋊C4—21no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4C22⋊D511yescharacteristic
393(C2×D3)⋊C4C22⋊D511yescharacteristic
394C4⋊Dic3—101no—
395C4⋊Dic3C22×D511yescharacteristic
396Dic3⋊C4—101no—
397Dic3⋊C4C22⋊D511yescharacteristic
398Dic3⋊C4C22⋊D511yescharacteristic
399C4×Dic3—21no—
400C4×Dic3—101no—
401C4×Dic3C22×D511yescharacteristic
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404D24—102no—
405#204—102no—
406C23×C5—21no—
407C23×C5—31no—
408C23×C5—64no—
409C23×C5—61no—
410C23×C5—241no—
411C23×C5—241no—
412C22×D5—61no—
413C5×D4—21no—
414C5×D4—32no—
415C5×D4—64no—
416C5×D4—61no—
417C5×D4#23912yes—
418C2×C4×C5—21no—
419C2×C4×C5—31no—
420C2×C4×C5—31no—
421C2×C4×C5—31no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5—61no—
425C2×C4×C5—81no—
426C2×C4×C5—241no—
427C2×C4×C5—241no—
428C2×C4×C5—241no—
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5D3×D411yescharacteristic
431C2×C4×C5C23×D311yescharacteristic
432C22⋊D5—241no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—61no—
436D20—61no—
437D20—61no—
438C4×D5—241no—
439Dic10—61no—
440Dic10—61no—
441Dic10—81no—
442#168—21no—
443#168—21no—
444#168—61no—
445#168—61no—
446C22×D4—31no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—51no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—31no—
461C4×D4—31no—
462C4×D4—31no—
463C4×D4—61no—
464C4×D4—61no—
465C4×D4—151no—
466C4×D4D3×D511yescharacteristic
467#117—31no—
468#117—31no—
469C2×C22⋊C4—61no—
470C2×C22⋊C4—61no—
471#107—51no—
472#107—51no—
473#106—151no—
474#106—151no—
475C4⋊C8—51no—
476C4⋊C8—151no—
477#103—151no—
478#103—151no—
479#102—51no—
480#102—51no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—151no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—151no—
489C2×C3×C5—42no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—81no—
494C5×D3—41no—
495C5×D3—42no—
496C23×C3—21no—
497C22×D3—21no—
498C22×D3—24no—
499C22×D3—81no—
500C22×D3—81no—
501C22×D3—101no—
502C22×D3C2×C22⋊D511yescharacteristic
503C3×Q8—401no—
504C3×D4—21no—
505C3×D4#70912yes—
506C2×C3×C4—21no—
507C2×C3×C4—81no—
508C2×C3×C4—101no—
509C2×C3×C4—101no—
510C2×C3×C4C2×C22⋊D511yescharacteristic
511C2×C3×C4C2×C22⋊D511yescharacteristic
512C2×C3×C4C23×D511yescharacteristic
513#67—24no—
514C2×Dic3—21no—
515C2×Dic3—81no—
516C2×Dic3—101no—
517C2×Dic3C2×C22⋊D511yescharacteristic
518C2×Dic3C2×C22⋊D511yescharacteristic
519C2×Dic3C2×C22⋊D511yescharacteristic
520D12—21no—
521D12—101no—
522D12—101no—
523D12—401no—
524D12#70912yes—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—81no—
528C4×D3—81no—
529C4×D3—401no—
530Dic6—101no—
531Dic6—101no—
532C3×C8—101no—
533C3×C8—101no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—22no—
537C22×C5—41no—
538C22×C5—41no—
539C22×C5—61no—
540C22×C5—61no—
541C22×C5—61no—
542C22×C5—62no—
543C22×C5—121no—
544C22×C5—121no—
545C22×C5—244no—
546C22×C5C2×D3×D411yescharacteristic
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—121no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—41no—
553C4×C5—61no—
554C4×C5—61no—
555C4×C5—61no—
556C4×C5—121no—
557C4×C5C2×#23911yescharacteristic
558C4×C5D3×#4111yescharacteristic
559Dic5—41no—
560Dic5—41no—
561Dic5—121no—
562C24—61no—
563C2×Q8—101no—
564C2×Q8—151no—
565C2×D4—31no—
566C2×D4—61no—
567C2×D4—62no—
568C2×D4—62no—
569C2×D4—151no—
570C2×D4—301no—
571C2×D4C2×D3×D511yescharacteristic
572C22×C4—21no—
573C22×C4—31no—
574C22×C4—61no—
575C22×C4—61no—
576C22×C4—61no—
577C22×C4—301no—
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—51no—
591C4⋊C4—101no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—31no—
597C22⋊C4—31no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—31no—
608C42—61no—
609C42—301no—
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3C22×C22⋊D511yescharacteristic
616C2×D3—21no—
617C2×D3—22no—
618C2×D3—21no—
619C2×D3—21no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—84no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—201no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—201no—
630C3×C4—201no—
631C3×C4C2×#70911yescharacteristic
632C3×C4C2×#70911yescharacteristic
633Dic3—21no—
634Dic3—21no—
635Dic3—21no—
636Dic3—41no—
637Dic3—201no—
638C2×C5—42no—
639C2×C5—121no—
640C2×C5—122no—
641C2×C5#562711yescharacteristic
642C2×C5#575711yescharacteristic
643C2×C5#577811yescharacteristic
644D5—241no—
645C23—21no—
646C23—31no—
647C23—64no—
648C23—61no—
649C23—241no—
650C23—241no—
651C23—301no—
652Q8—301no—
653Q8—301no—
654Q8—401no—
655D4—21no—
656D4—32no—
657D4—64no—
658D4—61no—
659D4—301no—
660D4—301no—
661D4—1201no—
662D4#676912yes—
663C2×C4—21no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—81no—
671C2×C4—101no—
672C2×C4—101no—
673C2×C4—241no—
674C2×C4—241no—
675C2×C4—241no—
676C2×C4—301no—
677C2×C4—1201no—
678C2×C4D3×C22⋊D511yescharacteristic
679C2×C4D3×C22⋊D511yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—101no—
682C8—101no—
683C8—301no—
684C8—301no—
685C2×C3—42no—
686C2×C3#6612511yescharacteristic
687C2×C3#6616911yescharacteristic
688C2×C3#6617011yescharacteristic
689D3—41no—
690D3—42no—
691D3—401no—
692C5#8095211yescharacteristic, complemented, Sylow
693C22—22no—
694C22—41no—
695C22—41no—
696C22—61no—
697C22—61no—
698C22—62no—
699C22—61no—
700C22—121no—
701C22—121no—
702C22—244no—
703C22—601no—
704C22—601no—
705C22—601no—
706C22C2×D3×C22⋊D511yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—61no—
711C4—61no—
712C4—61no—
713C4—121no—
714C4—201no—
715C4—201no—
716C4—601no—
717C4C2×#676911yescharacteristic
718C4D3×#70911yescharacteristic
719C3#1061427211yescharacteristic, complemented, Sylow
720C2—42no—
721C2—121no—
722C2—122no—
723C2—1201no—
724C2#1175435211yescharacteristic
725C2#1175469711yescharacteristic
726C2#1175534011yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radical#11749033C2
hypercenterC4×D4D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C5×#5545C2semidirect
2. #11752643C2semidirect
3. #11751117C2semidirect
4. C3×#65296C2semidirect
5. #11749056C2semidirect
7. #11749011C2semidirect
8. #11748989C2semidirect
9. #11747473C2semidirect
10. #11747230C2semidirect
11. #11747176C2semidirect
12. #11747174C2semidirect
13. #11747038C2semidirect
14. #11746882C2semidirect
15. #11746854C2semidirect
21. #91764C22semidirect
31. C3×#4015C22semidirect
34. #91428C22semidirect
38. #91340C22semidirect
42. #91094C22semidirect
43. #91093C22semidirect
44. C4⋊(C3⋊#168)C22semidirect
47. C3×#3939C22semidirect
48. C3×#3939C22semidirect
49. C3×C4⋊#168C22semidirect
50. #90986C22semidirect
51. #90986C22semidirect
52. #90975C22semidirect
53. #90969C22semidirect
58. #90953C22semidirect
59. Dic3×#168C22semidirect
72. #65296D3semidirect
126. #5545D5semidirect
163. #4015C2×D3semidirect
177. #3939C2×D3semidirect
178. #3939C2×D3semidirect
180. C4⋊#168C2×D3semidirect
611. C3×C5#3118semidirect
692. C5#80952semidirect
719. C3#10614272semidirect

Maximal subgroups

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

subgroupindex
C5×#55452
#117526432
#117511172
C3×#652962
#117490562
#117490332
#117490112
#117489892
#117474732
#117472302
#117471762
#117471742
#117470382
#117468822
#117468542
#106142723
#809525