Finite Group Databasebeta

← #72246669

Subgroups — #72246669

Order 4032.

788 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72246652C211yesmaximal, characteristic, complemented
2C3×#10620644C211yesmaximal, characteristic, complemented
3#72246629C211yesmaximal, characteristic, complemented
4C3×C7×#805C211yesmaximal, characteristic, complemented
5C42×C3⋊D21C211yesmaximal, characteristic, complemented
6#72245757C211yesmaximal, characteristic
7#72245722C211yesmaximal, characteristic, complemented
8#104×D21—31nomaximal
9#13052491—31nomaximal
10C2×C4×C3⋊D21—21no—
11C2×C4×C3⋊D21C2211yescharacteristic
12C3×#66728C2211yescharacteristic
13C3×C7×#235C2211yescharacteristic
14#11759626—21no—
15#11759616—21no—
16#11759613C411yescharacteristic, complemented
17C4×D3×D21—21no—
18#11759607—21no—
19#11759606C411yescharacteristic, complemented
20#11759604C411yescharacteristic, complemented
21#11759602C411yescharacteristic, complemented
22C32×C42×C7C2211yescharacteristic, complemented
23C4×C3⋊Dic21—21no—
24C4×C3⋊Dic21C2211yescharacteristic, complemented
25C3×#66627C2211yescharacteristic, complemented
26C3×C7×#208C2211yescharacteristic, complemented
27#11759193—21no—
28#11759190—21no—
29#41×D21—31no—
30#10621563—31no—
31M16×D21—31no—
32C42×D21—31no—
33C42×D21—31no—
34C42×D21—61no—
35#10620854—31no—
36C3×C7×#104—31no—
37#10620676—31no—
38#10620664—31no—
39#10620644D311yescharacteristic, complemented
40C7×#805D311yescharacteristic, complemented
41C3×#6379—31no—
42#10620513—31no—
43#10620511—31no—
44#10590393—71nomaximal, Hall
45C22×C3⋊D21D411yescharacteristic
46C2×D3×D21—21no—
47C2×C32×C4×C7—21no—
48C2×C32×C4×C7C2311yescharacteristic
49C2×C3⋊Dic21—21no—
50C2×C3⋊Dic21D411yescharacteristic
51C4×C3⋊D21—24no—
52C4×C3⋊D21C2×C411yescharacteristic
53C4×C3⋊D21C2×C411yescharacteristic
54C4×C3⋊D21D411yescharacteristic
55C4×C3⋊D21D411yescharacteristic
56C3×#4268—21no—
57C3×D84C2×C411yescharacteristic, complemented
58C3×C4×D21—21no—
59C3×Dic42C2×C411yescharacteristic, complemented
60C3×C7×#67—21no—
61C3×C7×D12C2×C411yescharacteristic, complemented
62C3×C4×D3×C7—21no—
63C3×C7×Dic6C2×C411yescharacteristic, complemented
64#92691—21no—
65#92690—21no—
66#92689—21no—
67#92688—21no—
68#92687—21no—
69D3×Dic21—21no—
70Dic3×D21—21no—
71C3×C3⋊(C7⋊C8)—21no—
72C3×C7×C3⋊C8—21no—
73D7×#104—91noHall
74C3×C7×#41—31no—
75#66732—31no—
76Q8×D21—31no—
77#66730—31no—
78#66730—61no—
79D4×D21—31no—
80D4×D21—61no—
81#66728—61no—
82#66728C2×D311yescharacteristic
83C2×C4×D21—31no—
84C2×C4×D21—31no—
85C2×C4×D21—61no—
86C2×C4×D21—61no—
87C2×C4×D21—61no—
88C2×C4×D21—61no—
89C2×C4×D21—61no—
90C2×C4×D21—61no—
91C7×#235C2×D311yescharacteristic
92C3×#1157—31no—
93#66694—61no—
94#66684—61no—
95#66681—31no—
96C4×D3×D7—61no—
97#66675—61no—
98D21⋊Q8—31no—
99#66672—31no—
100#66670—31no—
101C3×C7×M16—31no—
102C3×C42×C7—21no—
103C3×C42×C7C2×D311yescharacteristic, complemented
104C3×C42×C7C2×D311yescharacteristic, complemented
105C4×Dic21—31no—
106C4×Dic21—31no—
107C4×Dic21—61no—
108C4×Dic21—61no—
109C4×Dic21—61no—
110C4×Dic21—61no—
111C4×Dic21—61no—
112#66627C2×D311yescharacteristic, complemented
113#66622—61no—
114C8×D21—61no—
115C7×#208C2×D311yescharacteristic, complemented
116C3×#1136—31no—
117#66559—61no—
118D21⋊C8—61no—
119#64306—71no—
120C42×C3⋊D3—71no—
121#63818—71no—
122C3×#805—71no—
123C3×#805D711yescharacteristic, complemented
124#63568—71no—
125#63568—71no—
126C22×C32×C7C2×D411yescharacteristic
127C2×C3⋊D21—22no—
128C2×C3⋊D21C22⋊C411yescharacteristic
129C2×C3⋊D21C22⋊C411yescharacteristic
130C2×C3×D21—21no—
131C2×C3×D3×C7—21no—
132D3×D21—42no—
133C32×C4×C7—22no—
134C32×C4×C7C22×C411yescharacteristic
135C32×C4×C7C2×D411yescharacteristic
136C3⋊Dic21—22no—
137C3⋊Dic21C22⋊C411yescharacteristic
138C3⋊Dic21C22⋊C411yescharacteristic
139C3×Dic21—21no—
140C3×C7×Dic3—21no—
141D7×#41—91no—
142D7×M16—91no—
143C42×D7—91no—
144C7×#104—31no—
145#6411—91no—
146#6399—91no—
147#6379—31no—
148D3×#104—211no—
149D3×#104—211no—
150C22×D21—31no—
151C22×D21—31no—
152C22×D21—61no—
153C22×D21—61no—
154C2×D3×D7—61no—
155C3×C7×Q8—31no—
156C3×C7×D4—31no—
157C3×C7×D4—61no—
158C2×C3×C4×C7—21no—
159C2×C3×C4×C7—21no—
160C2×C3×C4×C7—21no—
161C2×C3×C4×C7—21no—
162C2×C3×C4×C7—21no—
163C2×C3×C4×C7—61no—
164C2×C3×C4×C7C22×D311yescharacteristic
165C2×C3×C4×C7C22×D311yescharacteristic
166#4268—21no—
167#4268—61no—
168#4268—61no—
169C2×Dic21—31no—
170C2×Dic21—31no—
171C2×Dic21—61no—
172C2×Dic21—61no—
173C2×Dic21—61no—
174C2×Dic21—61no—
175C2×Dic21—61no—
176C2×Dic21—61no—
177D84—61no—
178D84C4×D311yescharacteristic, complemented
179C4×D21—21no—
180C4×D21—31no—
181C4×D21—31no—
182C4×D21—31no—
183C4×D21—31no—
184C4×D21—31no—
185C4×D21—31no—
186C4×D21—31no—
187C4×D21—31no—
188C4×D21—61no—
189C4×D21—61no—
190C4×D21—61no—
191C4×D21—61no—
192C4×D21—61no—
193C4×D21—61no—
194C4×D21—64no—
195C4×D21—64no—
196C4×D21—64no—
197C4×D21—64no—
198Dic42—61no—
199Dic42C4×D311yescharacteristic, complemented
200C7×#67—21no—
201C7×D12C4×D311yescharacteristic, complemented
202C4×D3×C7—21no—
203C7×Dic6C4×D311yescharacteristic, complemented
204C3×C22⋊D7—61no—
205C3×D28—31no—
206C3×C4×D7—61no—
207C3×Dic14—31no—
208#4248—61no—
209#4247—61no—
210#4246—61no—
211#4245—61no—
212D21⋊C4—61no—
213D3×Dic7—61no—
214Dic3×D7—61no—
215C3×C7×C8—61no—
216C3⋊(C7⋊C8)—21no—
217C3×C7⋊C8—61no—
218C7×C3⋊C8—21no—
219C2×C4×C3⋊D3—71no—
220C2×C4×C3⋊D3—141no—
221C3×#235—71no—
222C3×#235C2×D711yescharacteristic
223#3811—141no—
224#3805—141no—
225#3802—71no—
226C4×D32—141no—
227#3798—141no—
228#3797—71no—
229#3796—71no—
230#3796—71no—
231C32×C42C2×D711yescharacteristic, complemented
232C4×C3⋊Dic3—71no—
233C4×C3⋊Dic3—141no—
234C3×#208—71no—
235C3×#208C2×D711yescharacteristic, complemented
236#3712—141no—
237#3710—141no—
238C2×C32×C7—21no—
239C2×C32×C7C2×C22⋊C411yescharacteristic
240C3⋊D21—21no—
241C3⋊D21#10412yescomplemented
242C3×D21—41no—
243C3×D3×C7—41no—
244C7×#41—31no—
245#1161—91no—
246Q8×D7—91no—
247#1159—91no—
248#1159—181no—
249D4×D7—91no—
250D4×D7—181no—
251#1157—31no—
252#1157—181no—
253C2×C4×D7—91no—
254C2×C4×D7—181no—
255C2×C4×D7—181no—
256C7×M16—31no—
257C42×C7D3211yescharacteristic, complemented
258C4×Dic7—91no—
259C4×Dic7—181no—
260#1136—31no—
261#1131—181no—
262C8×D7—181no—
263D3×#41—211no—
264D3×#41—211no—
265D3×M16—211no—
266D3×M16—211no—
267C42×D3—211no—
268C42×D3—211no—
269C42×D3—421no—
270C3×#104—31no—
271C3×#104—211no—
272#837—211no—
273#837—211no—
274#825—211no—
275#825—211no—
276#805—71no—
277#805D2111yescharacteristic, complemented
278C22×C3×C7—21no—
279C22×C3×C7—61no—
280C22×C3×C7D3×D411yescharacteristic
281C22×C3×C7D3×D411yescharacteristic
282C2×D21—21no—
283C2×D21—31no—
284C2×D21—31no—
285C2×D21—31no—
286C2×D21—31no—
287C2×D21—61no—
288C2×D21—61no—
289C2×D21—62no—
290C2×D21—62no—
291C2×D21—62no—
292C2×D21—62no—
293C2×D21—122no—
294C2×D3×C7—21no—
295C2×C3×D7—61no—
296D3×D7—122no—
297C3×C4×C7—22no—
298C3×C4×C7—22no—
299C3×C4×C7—22no—
300C3×C4×C7—22no—
301C3×C4×C7—21no—
302C3×C4×C7—21no—
303C3×C4×C7—61no—
304C3×C4×C7C2×C4×D311yescharacteristic
305C3×C4×C7C2×C4×D311yescharacteristic
306C3×C4×C7D3×D411yescharacteristic
307C3×C4×C7D3×D411yescharacteristic
308Dic21—21no—
309Dic21—31no—
310Dic21—31no—
311Dic21—31no—
312Dic21—31no—
313Dic21—61no—
314Dic21—61no—
315Dic21—62no—
316Dic21—62no—
317Dic21—62no—
318Dic21—62no—
319C3×Dic7—61no—
320C7×Dic3—21no—
321C22×C3⋊D3—71no—
322C2×D32—141no—
323C2×C32×C4—21no—
324C2×C32×C4C22×D711yescharacteristic
325C2×C3⋊Dic3—71no—
326C2×C3⋊Dic3—141no—
327C4×C3⋊D3—71no—
328C4×C3⋊D3—71no—
329C4×C3⋊D3—71no—
330C4×C3⋊D3—71no—
331C4×C3⋊D3—144no—
332C3×#67—21no—
333C3×#67—141no—
334C3×D12—71no—
335C3×D12C4×D711yescharacteristic, complemented
336C3×C4×D3—21no—
337C3×C4×D3—141no—
338C3×Dic6—71no—
339C3×Dic6C4×D711yescharacteristic, complemented
340#627—141no—
341#626—141no—
342#626—141no—
343#625—141no—
344#624—141no—
345D3×Dic3—141no—
346D3×Dic3—141no—
347C3×C3⋊C8—21no—
348C3×C3⋊C8—141no—
349C2×#104—631noSylow
350C32×C7C2×#10411yescharacteristic, complemented, Hall
351C22×D7—91no—
352C22×D7—181no—
353C7×Q8—31no—
354C7×D4—31no—
355C7×D4—61no—
356C2×C4×C7—21no—
357C2×C4×C7—61no—
358C2×C4×C7C2×D3211yescharacteristic
359C22⋊D7—61no—
360C22⋊D7—181no—
361C22⋊D7—181no—
362C2×Dic7—91no—
363C2×Dic7—181no—
364C2×Dic7—181no—
365D28—31no—
366D28—181no—
367C4×D7—61no—
368C4×D7—91no—
369C4×D7—91no—
370C4×D7—91no—
371C4×D7—91no—
372C4×D7—181no—
373C4×D7—181no—
374C4×D7—184no—
375Dic14—31no—
376Dic14—181no—
377C7×C8—61no—
378C7⋊C8—61no—
379C3×#41—31no—
380C3×#41—211no—
381#239—211no—
382#239—211no—
383D3×Q8—211no—
384D3×Q8—211no—
385#237—211no—
386#237—211no—
387#237—421no—
388#237—421no—
389D3×D4—211no—
390D3×D4—211no—
391D3×D4—421no—
392D3×D4—421no—
393#235—71no—
394#235—421no—
395#235—421no—
396#235C2×D2111yescharacteristic
397C2×C4×D3—211no—
398C2×C4×D3—211no—
399C2×C4×D3—421no—
400C2×C4×D3—421no—
401C2×C4×D3—421no—
402C2×C4×D3—421no—
403C2×C4×D3—421no—
404C2×C4×D3—421no—
405C2×C4×D3—421no—
406C3×M16—31no—
407C3×M16—211no—
408C3×C42—21no—
409C3×C42D3×D711yescharacteristic, complemented
410C3×C42C2×D2111yescharacteristic, complemented
411C4×Dic3—211no—
412C4×Dic3—211no—
413C4×Dic3—421no—
414C4×Dic3—421no—
415C4×Dic3—421no—
416C4×Dic3—421no—
417C4×Dic3—421no—
418#208—71no—
419#208C2×D2111yescharacteristic, complemented
420ΓL(1,𝔽25)—421no—
421ΓL(1,𝔽25)—421no—
422D3×C8—421no—
423D3×C8—421no—
424C2×C3×C7—21no—
425C2×C3×C7—21no—
426C2×C3×C7—21no—
427C2×C3×C7—21no—
428C2×C3×C7—21no—
429C2×C3×C7—121no—
430C2×C3×C7D3×C22⋊C411yescharacteristic
431C2×C3×C7D3×C22⋊C411yescharacteristic
432D21—32no—
433D21—32no—
434D21—41no—
435D21—62no—
436D21—61no—
437D21—61no—
438D21—61no—
439D21—61no—
440C3×D7—121no—
441D3×C7—41no—
442C22×C32D4×D711yescharacteristic
443C2×C3⋊D3—71no—
444C2×C3⋊D3—71no—
445C2×C3⋊D3—142no—
446C2×C3×D3—21no—
447C2×C3×D3—141no—
448D32—282no—
449C32×C4—22no—
450C32×C4C2×C4×D711yescharacteristic
451C32×C4D4×D711yescharacteristic
452C3⋊Dic3—71no—
453C3⋊Dic3—71no—
454C3⋊Dic3—142no—
455C3×Dic3—21no—
456C3×Dic3—141no—
457C2×#41—631no—
458C2×M16—631no—
459C2×C42—631no—
460#104—31no—
461#104—211no—
462#104—631no—
463#104—631no—
464C22×C7—61no—
465C22×C7#381111yescharacteristic
466C2×D7—61no—
467C2×D7—91no—
468C2×D7—91no—
469C2×D7—182no—
470C2×D7—362no—
471C4×C7—22no—
472C4×C7—61no—
473C4×C7C4×D3211yescharacteristic
474C4×C7#380211yescharacteristic
475Dic7—61no—
476Dic7—91no—
477Dic7—91no—
478Dic7—182no—
479C22×D3—211no—
480C22×D3—211no—
481C22×D3—421no—
482C22×D3—421no—
483C22×D3—421no—
484C3×Q8—31no—
485C3×Q8—211no—
486C3×D4—31no—
487C3×D4—61no—
488C3×D4—211no—
489C3×D4—421no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—61no—
496C2×C3×C4—421no—
497C2×C3×C4C2×D3×D711yescharacteristic
498C2×C3×C4C22×D2111yescharacteristic
499#67—21no—
500#67—141no—
501#67—421no—
502#67—421no—
503#67—421no—
504#67—421no—
505C2×Dic3—211no—
506C2×Dic3—211no—
507C2×Dic3—421no—
508C2×Dic3—421no—
509C2×Dic3—421no—
510C2×Dic3—421no—
511C2×Dic3—421no—
512C2×Dic3—421no—
513C2×Dic3—421no—
514D12—71no—
515D12—421no—
516D12—421no—
517D12C4×D2111yescharacteristic, complemented
518C4×D3—21no—
519C4×D3—141no—
520C4×D3—211no—
521C4×D3—211no—
522C4×D3—211no—
523C4×D3—211no—
524C4×D3—211no—
525C4×D3—211no—
526C4×D3—211no—
527C4×D3—211no—
528C4×D3—421no—
529C4×D3—421no—
530C4×D3—421no—
531C4×D3—421no—
532C4×D3—421no—
533C4×D3—421no—
534C4×D3—421no—
535C4×D3—421no—
536C4×D3—424no—
537C4×D3—424no—
538C4×D3—424no—
539C4×D3—424no—
540Dic6—71no—
541Dic6—421no—
542Dic6—421no—
543Dic6C4×D2111yescharacteristic, complemented
544C3×C8—61no—
545C3×C8—421no—
546C3⋊C8—21no—
547C3⋊C8—141no—
548C3×C7—21no—
549C3×C7D3×#10411yescharacteristic, complemented
550C3×C7D3×#10411yescharacteristic, complemented
551C2×C32—21no—
552C2×C32D7×C22⋊C411yescharacteristic
553C3⋊D3—72no—
554C3⋊D3—141no—
555C3×D3—41no—
556C3×D3—281no—
557#41—31no—
558#41—211no—
559#41—631no—
560#41—631no—
561#41—1261no—
562#41—1261no—
563C2×Q8—631no—
564C2×D4—631no—
565C2×D4—1261no—
566C22×C4—631no—
567C22×C4—1261no—
568C22×C4—1261no—
569M16—31no—
570M16—211no—
571M16—1261no—
572C2×C8—1261no—
573C42—631no—
574C42—1261no—
575C42D3×D2111yescharacteristic, complemented
576C2×C7—21no—
577C2×C7—121no—
578C2×C7#6392111yescharacteristic
579D7—92no—
580D7—121no—
581D7—181no—
582C22×C3—21no—
583C22×C3—61no—
584C22×C3—421no—
585C22×C3#6669411yescharacteristic
586C22×C3D4×D2111yescharacteristic
587C2×D3—21no—
588C2×D3—141no—
589C2×D3—211no—
590C2×D3—211no—
591C2×D3—211no—
592C2×D3—211no—
593C2×D3—421no—
594C2×D3—421no—
595C2×D3—422no—
596C2×D3—422no—
597C2×D3—422no—
598C2×D3—422no—
599C2×D3—842no—
600C2×D3—842no—
601C3×C4—22no—
602C3×C4—22no—
603C3×C4—22no—
604C3×C4—22no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—61no—
608C3×C4—421no—
609C3×C4C4×D3×D711yescharacteristic
610C3×C4#6668111yescharacteristic
611C3×C4C2×C4×D2111yescharacteristic
612C3×C4D4×D2111yescharacteristic
613Dic3—21no—
614Dic3—141no—
615Dic3—211no—
616Dic3—211no—
617Dic3—211no—
618Dic3—211no—
619Dic3—421no—
620Dic3—421no—
621Dic3—422no—
622Dic3—422no—
623Dic3—422no—
624Dic3—422no—
625C32D7×#10411yescharacteristic, complemented, Sylow
626C23—631no—
627C23—1261no—
628Q8—31no—
629Q8—211no—
630Q8—1261no—
631D4—31no—
632D4—61no—
633D4—211no—
634D4—421no—
635D4—1261no—
636D4—1261no—
637D4—1261no—
638C2×C4—21no—
639C2×C4—61no—
640C2×C4—421no—
641C2×C4—631no—
642C2×C4—631no—
643C2×C4—631no—
644C2×C4—631no—
645C2×C4—631no—
646C2×C4—1264no—
647C2×C4—1261no—
648C2×C4—1261no—
649C2×C4—1261no—
650C2×C4—1261no—
651C2×C4C2×D3×D2111yescharacteristic
652C8—61no—
653C8—421no—
654C7#1059039311yescharacteristic, complemented, Sylow
655C2×C3—21no—
656C2×C3—21no—
657C2×C3—21no—
658C2×C3—21no—
659C2×C3—21no—
660C2×C3—121no—
661C2×C3—841no—
662C2×C3#1062103511yescharacteristic
663C2×C3C22⋊C4×D2111yescharacteristic
664D3—41no—
665D3—212no—
666D3—212no—
667D3—281no—
668D3—422no—
669D3—421no—
670D3—421no—
671D3—421no—
672D3—421no—
673C22—61no—
674C22—421no—
675C22—631no—
676C22—631no—
677C22—1262no—
678C22—2522no—
679C22#1175962611yescharacteristic
680C4—22no—
681C4—61no—
682C4—421no—
683C4—631no—
684C4—631no—
685C4—1262no—
686C4C4×D3×D2111yescharacteristic
687C4#1175961311yescharacteristic
688C3—21no—
689C3#1305249111yescharacteristic, complemented
690C3#104×D2111yescharacteristic, complemented
691C2—21no—
692C2—121no—
693C2—632no—
694C2—841no—
695C2—1261no—
696C2#7224666611yescharacteristic
subgroupG/H
centerC4#11759613
commutatorC32×C4×C7C22×C4
FrattiniC2×C4C2×D3×D21
FittingC32×C42×C7C22
socleC2×C32×C7C2×C22⋊C4
prime radical#72245757C2
cosocleC2×C32×C4×C7C23
hypercenterC42D3×D21
hypocenterC32×C7C2×#104
LCSG ▷ C32×C4×C7 ▷ C2×C32×C7 ▷ C32×C7
UCSC1 ◁ C4 ◁ C2×C4 ◁ C42

Complements

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

NH ≅ G/Ntype
1. #72246652C2semidirect
2. C3×#10620644C2semidirect
3. #72246629C2semidirect
4. C3×C7×#805C2semidirect
5. C42×C3⋊D21C2semidirect
7. #72245722C2semidirect
16. #11759613C4semidirect
19. #11759606C4semidirect
20. #11759604C4semidirect
21. #11759602C4semidirect
22. C32×C42×C7C22semidirect
24. C4×C3⋊Dic21C22semidirect
25. C3×#66627C22semidirect
26. C3×C7×#208C22semidirect
39. #10620644D3semidirect
40. C7×#805D3semidirect
57. C3×D84C2×C4semidirect
59. C3×Dic42C2×C4semidirect
61. C3×C7×D12C2×C4semidirect
63. C3×C7×Dic6C2×C4semidirect
103. C3×C42×C7C2×D3semidirect
104. C3×C42×C7C2×D3semidirect
112. #66627C2×D3semidirect
115. C7×#208C2×D3semidirect
123. C3×#805D7semidirect
178. D84C4×D3semidirect
199. Dic42C4×D3semidirect
201. C7×D12C4×D3semidirect
203. C7×Dic6C4×D3semidirect
231. C32×C42C2×D7semidirect
235. C3×#208C2×D7semidirect
241. C3⋊D21#104semidirect
257. C42×C7D32semidirect
277. #805D21semidirect
335. C3×D12C4×D7semidirect
339. C3×Dic6C4×D7semidirect
350. C32×C7C2×#104semidirect
409. C3×C42D3×D7semidirect
410. C3×C42C2×D21semidirect
419. #208C2×D21semidirect
517. D12C4×D21semidirect
543. Dic6C4×D21semidirect
549. C3×C7D3×#104semidirect
550. C3×C7D3×#104semidirect
575. C42D3×D21semidirect
625. C32D7×#104semidirect
654. C7#10590393semidirect
689. C3#13052491semidirect
690. C3#104×D21semidirect

Maximal subgroups

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

subgroupindex
#722466522
C3×#106206442
#722466292
C3×C7×#8052
C42×C3⋊D212
#722457572
#722457222
#104×D213
#130524913
#105903937