Finite Group Databasebeta

← #14223128

Subgroups — #14223128

Order 1792.

2078 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11744336C211yesmaximal, characteristic
2C2×#90191C211yesmaximal, characteristic, complemented
3C2×C7×#417C211yesmaximal, characteristic, complemented
4#11741517C211yesmaximal, characteristic, complemented
5#11741213C211yesmaximal, characteristic, complemented
6#11741192C211yesmaximal, characteristic, complemented
7C2×#89738C211yesmaximal, characteristic, complemented
8#11736324C214yesmaximal, complemented
9#11736323C214yesmaximal, complemented
10#11736322C214yesmaximal, complemented
11#11736321C214yesmaximal, complemented
12#11736230C214yesmaximal, complemented
13#11736182C214yesmaximal, complemented
14C22×C7×#41C2211yescharacteristic
15C22×#1157C2211yescharacteristic
16C22×C7×M16C2211yescharacteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18#90524—21no—
19#90524—21no—
20#90523C2214yes—
21#90521C2212yes—
22#90519—22no—
23#90516C2212yes—
24#90507C2212yes—
25#90496C2212yes—
26#90495—22no—
27#90482—22no—
28C2×#6489C2211yescharacteristic
29C2×#6489C2211yescharacteristic
30C2×#6487—22no—
31C22×#1136C2211yescharacteristic
32#90191—22no—
33#90191—22no—
34#90191C2214yescomplemented
35#90191C2214yescomplemented
36C2×#6453—21no—
37C2×#6453C2212yescomplemented
38C2×#6451—21no—
39C2×#6451C2212yescomplemented
40C7×#417C2214yes—
41C7×#417C2214yescomplemented
42C2×C7×#103C2212yescomplemented
43C2×C7×#102C2212yescomplemented
44#90005C2214yes—
45#90004C2212yescomplemented
46#90004C2212yescomplemented
47#89997C2212yescomplemented
48#89987C2212yescomplemented
49#89905C2212yescomplemented
50#89905C2212yescomplemented
51#89903C2212yescomplemented
52#89894C2214yescomplemented
53#89892C2212yescomplemented
54M16×Dic7C2214yescomplemented
55#89885C2214yes—
56#89873C2214yescomplemented
57C2×#6384C2212yescomplemented
58#89738C2214yes—
59#89738C2214yescomplemented
60C2×#6383C2212yescomplemented
61#89572C2218yescomplemented
62#89569C2218yescomplemented
63#89567C2218yescomplemented
64#89564C2218yescomplemented
65#89540C2218yescomplemented
66#89537C2218yescomplemented
67#89536C2218yescomplemented
68#89532C2218yescomplemented
69#60621—71nomaximal, Sylow
70C2×C7×#41—21no—
71C2×C7×#41—21no—
72C2×C7×#41—24no—
73C2×C7×#41—24no—
74C2×C7×#41C2312yes—
75C2×C7×#41C2312yes—
76C22×C7×Q8C2311yescharacteristic
77C22×C7×D4—21no—
78C22×C7×D4C2311yescharacteristic
79C23×C4×C7—21no—
80C23×C4×C7—21no—
81C23×C4×C7C2311yescharacteristic
82C22×C22⋊D7—21no—
83C2×#1157—21no—
84C2×#1157—21no—
85C2×#1157—24no—
86C2×#1157—24no—
87C2×#1157C2312yes—
88C2×#1157C2312yes—
89C22×D28C2311yescharacteristic
90C22×C4×D7—21no—
91C22×Dic14—22no—
92C22×Dic14C2311yescharacteristic
93C2×C7×M16—24no—
94C2×C7×M16C2312yes—
95C2×C7×M16C2312yes—
96C22×C7×C8C2312yes—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4—21no—
99C2×C7×C4⋊C4—21no—
100C2×C7×C4⋊C4C2312yes—
101C2×C7×C4⋊C4C2312yes—
102C2×C7×C4⋊C4C2312yes—
103#6516—24no—
104C2×C22⋊Dic7—21no—
105C2×C22⋊Dic7D412yes—
106#6510C2314yes—
107#6509—22no—
108#6509—22no—
109#6507C2314yes—
110#6503C2314yes—
111#6502—24no—
112#6502—24no—
113#6501—22no—
114#6501—22no—
115#6500—24no—
116#6499C2314yes—
117#6498—24no—
118#6493—22no—
119#6493—22no—
120#6492—24no—
121C4×C22⋊D7—24no—
122C4×C22⋊D7—24no—
123#6489—21no—
124#6489—21no—
125#6489D412yes—
126#6489D412yes—
127#6489C2312yes—
128#6489C2312yes—
129#6489C2312yes—
130#6489C2312yes—
131C2×C4⋊Dic7—22no—
132C2×C4⋊Dic7D411yescharacteristic
133C2×C4⋊Dic7D411yescharacteristic
134C2×C4⋊Dic7C2311yescharacteristic
135C2×C4⋊Dic7C2311yescharacteristic
136#6487—28no—
137#6487—28no—
138#6487—22no—
139#6487—22no—
140C2×Dic7⋊C4—22no—
141C2×Dic7⋊C4—22no—
142C2×C4×Dic7—21no—
143C2×C4×Dic7C2312yes—
144C2×#1136—24no—
145C2×#1136C2312yes—
146C2×#1136C2312yes—
147C22×C7⋊C8C2312yes—
148#6453—24no—
149#6453—24no—
150#6453—24no—
151#6453C2318yes—
152#6451—24no—
153#6451—24no—
154#6451—24no—
155#6451C2318yes—
156C7×#103C2318yes—
157C7×#102C2318yes—
158#6409C2314yes—
159#6409C2314yes—
160#6406C2314yes—
161#6406C2314yes—
162#6395C2314yes—
163#6395C2314yes—
164#6390C2314yes—
165#6390C2314yes—
166#6389C2318yes—
167C8×Dic7C2318yes—
168#6384C2318yes—
169#6383C2318yes—
170C2×#544—71no—
171#3449—71no—
172#3142—74no—
173#3141—74no—
174#3137—74no—
175#3137—74no—
176#3136—74no—
177#3136—74no—
178#2896—71no—
179#2896—71no—
180C2×#417—71no—
181C2×#417D711yescharacteristic, complemented
182#2873—71no—
183C24×C7—21no—
184C24×C7C2×D411yescharacteristic
185C23×D7—21no—
186C7×#41—24no—
187C7×#41—24no—
188C7×#41—24no—
189C7×#41—24no—
190C7×#41—44no—
191C7×#41—44no—
192C2×C7×Q8—21no—
193C2×C7×Q8—22no—
194C2×C7×Q8—22no—
195C2×C7×Q8C2412yes—
196C2×C7×D4—22no—
197C2×C7×D4—22no—
198C2×C7×D4—21no—
199C2×C7×D4—22no—
200C2×C7×D4—22no—
201C2×C7×D4—44no—
202C2×C7×D4C2412yes—
203C22×C4×C7—22no—
204C22×C4×C7—21no—
205C22×C4×C7—22no—
206C22×C4×C7—22no—
207C22×C4×C7—22no—
208C22×C4×C7—22no—
209C22×C4×C7—44no—
210C22×C4×C7—82no—
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2×D411yescharacteristic
214C22×C4×C7#4114yes—
215C22×C4×C7#4114yes—
216C22×C4×C7C2411yescharacteristic
217C22×C4×C7C2411yescharacteristic
218C22×C4×C7C2411yescharacteristic
219C2×C22⋊D7—22no—
220C2×C22⋊D7—22no—
221C2×C22⋊D7—24no—
222C2×C22⋊D7—24no—
223C2×C22⋊D7—44no—
224C22×Dic7—21no—
225C22×Dic7—21no—
226C22×Dic7—21no—
227C22×Dic7C2×D412yes—
228C22×Dic7C2×D412yes—
229#1157—24no—
230#1157—24no—
231#1157—24no—
232#1157—24no—
233#1157—44no—
234#1157—44no—
235C2×D28—22no—
236C2×D28—22no—
237C2×D28—21no—
238C2×D28C2412yes—
239C2×C4×D7—22no—
240C2×C4×D7—22no—
241C2×C4×D7—44no—
242C2×Dic14—22no—
243C2×Dic14—22no—
244C2×Dic14—21no—
245C2×Dic14—28no—
246C2×Dic14—84no—
247C2×Dic14C2412yes—
248C7×M16—24no—
249C7×M16—24no—
250C2×C7×C8—24no—
251C2×C7×C8C2414yes—
252C7×C4⋊C4—22no—
253C7×C4⋊C4—22no—
254C7×C4⋊C4—22no—
255C7×C4⋊C4C2414yes—
256C22⋊Dic7—22no—
257C22⋊Dic7—22no—
258C22⋊Dic7—24no—
259C22⋊Dic7—24no—
260C22⋊Dic7C2×D414yes—
261C22⋊Dic7C2×D414yes—
262(C2×D7)⋊C4—24no—
263(C2×D7)⋊C4—24no—
264C4⋊Dic7—21no—
265C4⋊Dic7—21no—
266C4⋊Dic7—28no—
267C4⋊Dic7C2×D412yes—
268C4⋊Dic7C2×D412yes—
269C4⋊Dic7C2×D412yes—
270C4⋊Dic7C2×D412yes—
271C4⋊Dic7C2412yes—
272C4⋊Dic7C2412yes—
273Dic7⋊C4—28no—
274Dic7⋊C4—28no—
275Dic7⋊C4—24no—
276Dic7⋊C4—24no—
277C4×Dic7—22no—
278C4×Dic7—22no—
279C4×Dic7C2×D414yes—
280C4×Dic7C2414yes—
281#1136—24no—
282#1136—24no—
283C2×C7⋊C8—24no—
284C2×C7⋊C8C2414yes—
285C22×#41—71no—
286C22×#41C2×D711yescharacteristic
287C22×M16—71no—
288C22×M16C2×D711yescharacteristic
289#544—74no—
290#544—74no—
291#544—142no—
292#544—142no—
293#537—141no—
294#537—141no—
295#536—72no—
296#536—72no—
297#535—72no—
298#535—72no—
299#534—142no—
300#532—74no—
301C2×C4⋊Q8—72no—
302C2×C4⋊Q8—141no—
303C2×#125—72no—
304C2×#125—141no—
305#525—142no—
306#525—142no—
307C2×C22⋊Q8—142no—
308C2×#117—71no—
309C2×#117—71no—
310C22×C4⋊C4C2×D711yescharacteristic
311#491—78no—
312#490—78no—
313#489—78no—
314#489—78no—
315#488—78no—
316#488—78no—
317#487—78no—
318#486—78no—
319#419—72no—
320#419—72no—
321#418—72no—
322#418—72no—
323#417—72no—
324#417—72no—
325#417—72no—
326#417—72no—
327#417—74no—
328#417—74no—
329#417C2×D714yes—
330#417C2×D714yescomplemented
331#416—74no—
332#416—74no—
333C2×#103—72no—
334C2×#103C2×D712yescomplemented
335C2×#102—72no—
336C2×#102C2×D712yescomplemented
337#405—74no—
338#405—74no—
339C4×M16—74no—
340C23×C7—22no—
341C23×C7—41no—
342C23×C7—41no—
343C23×C7—42no—
344C23×C7—81no—
345C23×C7—81no—
346C23×C7#12414yes—
347C23×C7C22×D411yescharacteristic
348C23×C7C22×D411yescharacteristic
349C23×C7C22×D411yescharacteristic
350C22×D7—22no—
351C22×D7—42no—
352C22×D7—81no—
353C22×D7—81no—
354C7×Q8—22no—
355C7×Q8—22no—
356C7×Q8—42no—
357C7×D4—22no—
358C7×D4—22no—
359C7×D4—44no—
360C7×D4—44no—
361C7×D4—42no—
362C2×C4×C7—24no—
363C2×C4×C7—22no—
364C2×C4×C7—44no—
365C2×C4×C7—42no—
366C2×C4×C7—44no—
367C2×C4×C7—44no—
368C2×C4×C7—82no—
369C2×C4×C7—82no—
370C2×C4×C7#12414yes—
371C2×C4×C7#12414yes—
372C2×C4×C7#12414yes—
373C2×C4×C7C22×D411yescharacteristic
374C2×C4×C7C22×D411yescharacteristic
375C2×C4×C7C22×D411yescharacteristic
376C2×C4×C7C2×#4112yes—
377C2×C4×C7C2×#4112yes—
378C2×C4×C7C2×#4112yes—
379C2×C4×C7C2×#4112yes—
380C2×C4×C7C2×#4112yes—
381C2×C4×C7C2×#4112yes—
382C2×C4×C7C2511yescharacteristic
383C22⋊D7—44no—
384C22⋊D7—44no—
385C22⋊D7—84no—
386C22⋊D7—84no—
387C2×Dic7—22no—
388C2×Dic7—22no—
389C2×Dic7—22no—
390C2×Dic7—42no—
391C2×Dic7—42no—
392C2×Dic7—42no—
393C2×Dic7—42no—
394C2×Dic7—42no—
395C2×Dic7C22×D414yes—
396C2×Dic7C22×D414yes—
397D28—22no—
398D28—22no—
399D28—42no—
400C4×D7—44no—
401C4×D7—44no—
402Dic14—22no—
403Dic14—22no—
404Dic14—42no—
405Dic14—88no—
406C7×C8—24no—
407C7⋊C8—24no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41—24no—
411C2×#41—24no—
412C2×#41—72no—
413C2×#41—72no—
414C2×#41—141no—
415C2×#41—141no—
416C2×#41—144no—
417C2×#41—144no—
418C2×#41C22×D712yes—
419C2×#41C22×D712yes—
420C22×Q8—71no—
421C22×Q8—142no—
422C22×Q8C22×D711yescharacteristic
423C22×D4—21no—
424C22×D4—71no—
425C22×D4—141no—
426C22×D4C22×D711yescharacteristic
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—141no—
430C23×C4C22×D711yescharacteristic
431C2×M16—24no—
432C2×M16—72no—
433C2×M16—72no—
434C2×M16—144no—
435C2×M16C22×D712yes—
436C2×M16C22×D712yes—
437C22×C8—72no—
438C22×C8C22×D712yes—
439C4⋊Q8—78no—
440C4⋊Q8—74no—
441C4⋊Q8—144no—
442C4⋊Q8—144no—
443C4⋊Q8—144no—
444#127—74no—
445#125—78no—
446#125—144no—
447#125—144no—
448#125—144no—
449#124—74no—
450#124—74no—
451#123—144no—
452#123—144no—
453C22⋊Q8—148no—
454C22⋊Q8—148no—
455C22⋊Q8—142no—
456C22⋊Q8—142no—
457C22⋊Q8—142no—
458C22⋊Q8—142no—
459#121—142no—
460#121—142no—
461#121—142no—
462#121—142no—
463#121—144no—
464#121—144no—
465#120—144no—
466#120—144no—
467C4×D4—144no—
468C4×D4—144no—
469#117—72no—
470#117—72no—
471#117—72no—
472#117—72no—
473#117—72no—
474#117—72no—
475#117—141no—
476#117—141no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—71no—
481C2×C4⋊C4—71no—
482C2×C4⋊C4—71no—
483C2×C4⋊C4—71no—
484C2×C4⋊C4—142no—
485C2×C4⋊C4—142no—
486C2×C4⋊C4—142no—
487C2×C4⋊C4C22×D712yes—
488C2×C4⋊C4C22×D712yes—
489C2×C4⋊C4C22×D712yes—
490C2×C22⋊C4—72no—
491C2×C22⋊C4—141no—
492C2×C42—72no—
493C2×C42—141no—
494#103—74no—
495#103—74no—
496#103—74no—
497#103—74no—
498#103—78no—
499#103C22×D718yes—
500#102—74no—
501#102—74no—
502#102—74no—
503#102—74no—
504#102—78no—
505#102C22×D718yes—
506#97—78no—
507C4×C8—78no—
508C22×C7—21no—
509C22×C7—21no—
510C22×C7—21no—
511C22×C7—21no—
512C22×C7—21no—
513C22×C7—21no—
514C22×C7—44no—
515C22×C7—42no—
516C22×C7—42no—
517C22×C7—42no—
518C22×C7—84no—
519C22×C7C2×#12412yes—
520C22×C7C2×#12412yes—
521C22×C7C2×#12412yes—
522C22×C7C23×D411yescharacteristic
523C2×D7—42no—
524C2×D7—42no—
525C2×D7—42no—
526C2×D7—84no—
527C4×C7—44no—
528C4×C7—42no—
529C4×C7C2×#12412yes—
530C4×C7C2×#12412yes—
531C4×C7C2×#12412yes—
532C4×C7C22×#4111yescharacteristic
533C4×C7C22×#4111yescharacteristic
534Dic7—24no—
535Dic7—24no—
536Dic7—42no—
537Dic7—42no—
538Dic7—42no—
539C24—21no—
540C24—141no—
541C24D4×D711yescharacteristic
542#41—24no—
543#41—24no—
544#41—24no—
545#41—24no—
546#41—44no—
547#41—44no—
548#41—144no—
549#41—144no—
550#41—144no—
551#41—144no—
552#41—284no—
553#41—284no—
554C2×Q8—21no—
555C2×Q8—22no—
556C2×Q8—22no—
557C2×Q8—72no—
558C2×Q8—148no—
559C2×Q8—141no—
560C2×Q8—142no—
561C2×Q8—142no—
562C2×Q8—564no—
563C2×Q8C23×D712yes—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—22no—
569C2×D4—44no—
570C2×D4—72no—
571C2×D4—144no—
572C2×D4—144no—
573C2×D4—142no—
574C2×D4—142no—
575C2×D4—142no—
576C2×D4—141no—
577C2×D4—142no—
578C2×D4—284no—
579C2×D4C23×D712yes—
580C22×C4—22no—
581C22×C4—21no—
582C22×C4—22no—
583C22×C4—22no—
584C22×C4—22no—
585C22×C4—22no—
586C22×C4—44no—
587C22×C4—72no—
588C22×C4—72no—
589C22×C4—82no—
590C22×C4—141no—
591C22×C4—141no—
592C22×C4—141no—
593C22×C4—142no—
594C22×C4—142no—
595C22×C4—284no—
596C22×C4#115714yes—
597C22×C4D4×D711yescharacteristic
598C22×C4D4×D711yescharacteristic
599C22×C4D4×D711yescharacteristic
600C22×C4#115914yes—
601C22×C4C23×D711yescharacteristic
602C22×C4C23×D711yescharacteristic
603C22×C4C23×D711yescharacteristic
604M16—24no—
605M16—24no—
606M16—144no—
607M16—144no—
608C2×C8—24no—
609C2×C8—74no—
610C2×C8—144no—
611C2×C8C23×D714yes—
612C4⋊C4—22no—
613C4⋊C4—22no—
614C4⋊C4—22no—
615C4⋊C4—72no—
616C4⋊C4—72no—
617C4⋊C4—72no—
618C4⋊C4—72no—
619C4⋊C4—72no—
620C4⋊C4—72no—
621C4⋊C4—148no—
622C4⋊C4—148no—
623C4⋊C4—144no—
624C4⋊C4—144no—
625C4⋊C4—148no—
626C4⋊C4—141no—
627C4⋊C4—141no—
628C4⋊C4C23×D714yes—
629C22⋊C4—74no—
630C22⋊C4—74no—
631C22⋊C4—144no—
632C22⋊C4—144no—
633C22⋊C4—144no—
634C22⋊C4—144no—
635C22⋊C4—142no—
636C22⋊C4—142no—
637C42—74no—
638C42—74no—
639C42—142no—
640C42—142no—
641C2×C7—22no—
642C2×C7—22no—
643C2×C7—22no—
644C2×C7—82no—
645C2×C7C22×#12411yescharacteristic
646C2×C7#358511yescharacteristic
647C2×C7#358611yescharacteristic
648D7—82no—
649C23—22no—
650C23—41no—
651C23—41no—
652C23—42no—
653C23—81no—
654C23—81no—
655C23—142no—
656C23—282no—
657C23—561no—
658C23—561no—
659C23#644814yes—
660C23C2×D4×D711yescharacteristic
661C23C2×D4×D711yescharacteristic
662C23C2×D4×D711yescharacteristic
663Q8—22no—
664Q8—22no—
665Q8—42no—
666Q8—142no—
667Q8—142no—
668Q8—282no—
669Q8—568no—
670D4—22no—
671D4—22no—
672D4—44no—
673D4—44no—
674D4—42no—
675D4—142no—
676D4—142no—
677D4—284no—
678D4—284no—
679D4—282no—
680D4—564no—
681D4—564no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—74no—
689C2×C4—74no—
690C2×C4—82no—
691C2×C4—82no—
692C2×C4—142no—
693C2×C4—142no—
694C2×C4—142no—
695C2×C4—282no—
696C2×C4—282no—
697C2×C4—282no—
698C2×C4—282no—
699C2×C4—282no—
700C2×C4—284no—
701C2×C4—284no—
702C2×C4#644814yes—
703C2×C4#644814yes—
704C2×C4#644814yes—
705C2×C4C2×#115712yes—
706C2×C4C2×#115712yes—
707C2×C4C2×#115712yes—
708C2×C4C2×D4×D711yescharacteristic
709C2×C4C2×D4×D711yescharacteristic
710C2×C4C2×D4×D711yescharacteristic
711C2×C4C2×#115912yes—
712C2×C4C2×#115912yes—
713C2×C4C2×#115912yes—
714C2×C4C24×D711yescharacteristic
715C8—24no—
716C8—144no—
717C7#6062111yescharacteristic, complemented, Sylow
718C22—21no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—21no—
724C22—44no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—84no—
729C22—282no—
730C22—282no—
731C22—282no—
732C22—564no—
733C22C2×#644812yes—
734C22C2×#644812yes—
735C22C2×#644812yes—
736C22C22×D4×D711yescharacteristic
737C4—44no—
738C4—42no—
739C4—144no—
740C4—144no—
741C4—282no—
742C4—282no—
743C4—282no—
744C4C2×#644812yes—
745C4C2×#644812yes—
746C4C2×#644812yes—
747C4C22×#115711yescharacteristic
748C4C22×#115911yescharacteristic
749C2—22no—
750C2—22no—
751C2—22no—
752C2—82no—
753C2—562no—
754C2C22×#644811yescharacteristic
755C2#1174426011yescharacteristic
756C2#1174426511yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#417C2
socleC22×C7C23×D4
prime radical#11744336C2
hypercenterC2×#417D7
hypocenterC7#60621
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C2×#90191C2semidirect
3. C2×C7×#417C2semidirect
4. #11741517C2semidirect
5. #11741213C2semidirect
6. #11741192C2semidirect
7. C2×#89738C2semidirect
8. #11736324C2semidirect
9. #11736323C2semidirect
10. #11736322C2semidirect
11. #11736321C2semidirect
12. #11736230C2semidirect
13. #11736182C2semidirect
34. #90191C22semidirect
35. #90191C22semidirect
37. C2×#6453C22semidirect
39. C2×#6451C22semidirect
41. C7×#417C22semidirect
42. C2×C7×#103C22semidirect
43. C2×C7×#102C22semidirect
45. #90004C22semidirect
46. #90004C22semidirect
47. #89997C22semidirect
48. #89987C22semidirect
49. #89905C22semidirect
50. #89905C22semidirect
51. #89903C22semidirect
52. #89894C22semidirect
53. #89892C22semidirect
54. M16×Dic7C22semidirect
56. #89873C22semidirect
57. C2×#6384C22semidirect
59. #89738C22semidirect
60. C2×#6383C22semidirect
61. #89572C22semidirect
62. #89569C22semidirect
63. #89567C22semidirect
64. #89564C22semidirect
65. #89540C22semidirect
66. #89537C22semidirect
67. #89536C22semidirect
68. #89532C22semidirect
181. C2×#417D7semidirect
330. #417C2×D7semidirect
334. C2×#103C2×D7semidirect
336. C2×#102C2×D7semidirect
717. C7#60621semidirect

Maximal subgroups

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

subgroupindex
#117443362
C2×#901912
C2×C7×#4172
#117415172
#117412132
#117411922
C2×#897382
#117363242
#117363232
#117363222
#117363212
#117362302
#117361822
#606217