Finite Group Databasebeta

← #13360265

Subgroups — #13360265

Order 1792.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11740741C211yesmaximal, characteristic
2#11740721C211yesmaximal, characteristic, complemented
3C2×#89595C211yesmaximal, characteristic, complemented
4C2×#89596C211yesmaximal, characteristic, complemented
5#11735961C211yesmaximal, characteristic, complemented
6C7×#1980C211yesmaximal, characteristic, complemented
7#11728144C211yesmaximal, characteristic, complemented
8#11728144C211yesmaximal, characteristic, complemented
9#11728124C211yesmaximal, characteristic, complemented
10#11728123C211yesmaximal, characteristic, complemented
11#11728121C211yesmaximal, characteristic, complemented
12#11728121C211yesmaximal, characteristic, complemented
13#11727629C211yesmaximal, characteristic, complemented
14#11727248C211yesmaximal, characteristic, complemented
15#11727232C211yesmaximal, characteristic, complemented
16C7×#532C2211yescharacteristic
17C2×#6513C2211yescharacteristic
18C2×#6513C2211yescharacteristic
19C2×#6511C2211yescharacteristic
20C2×#6511C2211yescharacteristic
21C2×#6470C2211yescharacteristic
22C2×#6470C2211yescharacteristic
23C4×#1157C2211yescharacteristic
24C2×C7×#104C2211yescharacteristic
25C2×C7×#104C2211yescharacteristic
26C2×C7×#104C2211yescharacteristic
27C2×C7×#104C2211yescharacteristic
28C4×C7×M16C2211yescharacteristic
29C4×C7×C4⋊C4C2211yescharacteristic
30#90006C2211yescharacteristic
31#90006C2211yescharacteristic
32#90005C2211yescharacteristic
33#90005C2211yescharacteristic
34C2×#6396C2211yescharacteristic
35C2×#6396C2211yescharacteristic
36#89894C2211yescharacteristic
37#89894C2211yescharacteristic
38#89862C411yescharacteristic, complemented
39#89855C411yescharacteristic, complemented
40#89847C411yescharacteristic, complemented
41#89844C411yescharacteristic, complemented
42#89829C411yescharacteristic, complemented
43#89829C411yescharacteristic, complemented
44#89826C411yescharacteristic, complemented
45#89826C411yescharacteristic, complemented
46#89783—21no—
47#89783—21no—
48#89783—21no—
49#89783—21no—
50C2×#6379C2211yescharacteristic
51C2×#6379C2211yescharacteristic
52#89696C2211yescharacteristic
53C2×C4⋊(C7⋊C8)C2211yescharacteristic
54C2×#6377C2211yescharacteristic
55C2×#6377C2211yescharacteristic
56C2×C4×C7⋊C8C2211yescharacteristic
57#89596—24no—
58#89595—24no—
59#89479—21no—
60D7×#97—21no—
61#89461—21no—
62#89461—21no—
63#89353C2211yescharacteristic
64#89353C2211yescharacteristic
65#89319C2211yescharacteristic
66#89319C2211yescharacteristic
67#89318C2211yescharacteristic
68#89318C2211yescharacteristic
69#21519—71nomaximal, Sylow
70C2×C7×#41C2311yescharacteristic
71C2×C7×#41C2311yescharacteristic
72C2×#1157C2311yescharacteristic
73C2×C7×M16C2311yescharacteristic
74C2×C7×M16C2311yescharacteristic
75C7×C4⋊Q8C2×C411yescharacteristic
76C7×#127C2×C411yescharacteristic
77C7×#124C2×C411yescharacteristic
78C7×#124C2×C411yescharacteristic
79C7×#121—21no—
80C7×#121—21no—
81C4×C7×D4—21no—
82C4×C7×D4—21no—
83C2×C7×C4⋊C4—21no—
84C2×C42×C7C2311yescharacteristic
85C2×C42×C7C2311yescharacteristic
86C2×C42×C7C2311yescharacteristic
87#6513—22no—
88#6513—22no—
89#6513—22no—
90#6513—22no—
91#6511—22no—
92#6511—22no—
93#6511—22no—
94#6511—22no—
95C2×#1144C2×C411yescharacteristic
96C2×#1144C2×C411yescharacteristic
97C2×#1143C2×C411yescharacteristic
98C2×#1143C2×C411yescharacteristic
99C2×#1142C2×C411yescharacteristic
100C2×#1142C2×C411yescharacteristic
101C2×#1141C2×C411yescharacteristic
102C2×#1141C2×C411yescharacteristic
103C4×C22⋊D7—21no—
104C4×C22⋊D7—21no—
105#6489C2311yescharacteristic
106C2×#1136—21no—
107C2×#1136—21no—
108C2×#1136C2311yescharacteristic
109C2×#1136C2311yescharacteristic
110C22×C7⋊C8—21no—
111C22×C7⋊C8—21no—
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C22×C7⋊C8C2311yescharacteristic
116#6470—22no—
117#6470—22no—
118#6470—22no—
119#6470D414yescomplemented
120C2×#1131—21no—
121C2×#1131—21no—
122C2×C8×D7—21no—
123C2×C8×D7—21no—
124C4×D28C2×C411yescharacteristic
125C4×D28C2×C411yescharacteristic
126#6435—21no—
127C42×D7—21no—
128C4×Dic14C2×C411yescharacteristic
129C4×Dic14C2×C411yescharacteristic
130C7×#104—22no—
131C7×#104—22no—
132C7×#104—22no—
133C7×#104—22no—
134C7×#97—21no—
135C4×C7×C8—21no—
136C7×#95—21no—
137#6409C2×C411yescharacteristic
138#6409C2×C411yescharacteristic
139#6409C2×C411yescharacteristic
140#6409C2×C411yescharacteristic
141#6406C2×C411yescharacteristic
142#6406C2×C411yescharacteristic
143#6406C2×C411yescharacteristic
144#6406C2×C411yescharacteristic
145C22⋊(C7⋊C8)—21no—
146C22⋊(C7⋊C8)—21no—
147C22⋊(C7⋊C8)—21no—
148C22⋊(C7⋊C8)—21no—
149#6396—22no—
150#6396—22no—
151#6389—21no—
152#6389—21no—
153C8×Dic7—21no—
154C8×Dic7—21no—
155#6379—22no—
156#6379—22no—
157C4⋊(C7⋊C8)—21no—
158C4⋊(C7⋊C8)—21no—
159C4⋊(C7⋊C8)C2×C411yescharacteristic
160C4⋊(C7⋊C8)C2×C411yescharacteristic
161C4⋊(C7⋊C8)C2×C411yescharacteristic
162C4⋊(C7⋊C8)C2×C411yescharacteristic
163#6377—22no—
164#6377D411yescharacteristic
165#6377D411yescharacteristic
166#6377D411yescharacteristic
167#6377D411yescharacteristic
168C4×C7⋊C8—22no—
169#3035—71no—
170C2×#444—71no—
171C2×#443—71no—
172#2932—71no—
173#2875—71no—
174#1980D711yescharacteristic, complemented
175#1950—71no—
176#1929—71no—
177#1929—71no—
178#1876—71no—
179#1876—71no—
180#1806—71no—
181#1771—71no—
182#1765—71no—
183#1764—71no—
184C7×#41—21no—
185C7×#41—21no—
186C7×#41—21no—
187C7×#41—21no—
188C7×#41—21no—
189C7×#41—21no—
190C7×#41—21no—
191C7×#41—21no—
192C2×C7×Q8C22×C411yescharacteristic
193C2×C7×Q8C22×C411yescharacteristic
194C2×C7×D4—21no—
195C2×C7×D4—21no—
196C2×C7×D4—21no—
197C2×C7×D4—21no—
198C2×C7×D4C22×C411yescharacteristic
199C2×C7×D4C22×C411yescharacteristic
200C22×C4×C7—21no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—21no—
204C22×C4×C7#4111yescharacteristic
205C22×C4×C7#4111yescharacteristic
206C22×C4×C7C2411yescharacteristic
207C2×C22⋊D7—21no—
208#1157—21no—
209#1157—21no—
210#1157C2×D412yes—
211#1157#4112yes—
212C2×D28C22×C411yescharacteristic
213C2×C4×D7—21no—
214C2×C4×D7—21no—
215C2×C4×D7—21no—
216C2×Dic14C22×C411yescharacteristic
217C7×M16—21no—
218C7×M16—21no—
219C7×M16C2×D412yes—
220C7×M16#4112yes—
221C2×C7×C8—21no—
222C2×C7×C8—21no—
223C7×C4⋊C4—21no—
224C7×C4⋊C4—21no—
225C7×C4⋊C4—42no—
226C7×C22⋊C4—21no—
227C7×C22⋊C4—21no—
228C7×C22⋊C4—21no—
229C7×C22⋊C4—21no—
230C42×C7—21no—
231C42×C7—21no—
232C42×C7—21no—
233C42×C7—21no—
234C42×C7C22×C411yescharacteristic
235C42×C7C22×C411yescharacteristic
236C42×C7C2×D411yescharacteristic
237C42×C7C2×D411yescharacteristic
238C22⋊Dic7—21no—
239#1144—22no—
240#1144—22no—
241#1143—22no—
242#1143—22no—
243#1142—22no—
244#1142—22no—
245#1141—22no—
246#1141—22no—
247(C2×D7)⋊C4—21no—
248(C2×D7)⋊C4—21no—
249C4⋊Dic7C22×C411yescharacteristic
250C4⋊Dic7C22×C411yescharacteristic
251Dic7⋊C4—21no—
252Dic7⋊C4—21no—
253C4×Dic7—21no—
254C4×Dic7—21no—
255C4×Dic7—21no—
256#1136—21no—
257#1136—21no—
258#1136—21no—
259#1136—21no—
260#1136—42no—
261#1136—42no—
262C2×C7⋊C8—21no—
263C2×C7⋊C8—21no—
264C2×C7⋊C8—21no—
265C2×C7⋊C8—21no—
266C2×C7⋊C8—21no—
267C2×C7⋊C8—21no—
268C2×C7⋊C8—21no—
269C2×C7⋊C8—21no—
270C2×C7⋊C8—42no—
271C2×C7⋊C8—42no—
272C2×C7⋊C8C22×C411yescharacteristic
273C2×C7⋊C8C22×C411yescharacteristic
274C2×C7⋊C8C22×C411yescharacteristic
275C2×C7⋊C8C22×C411yescharacteristic
276C2×C7⋊C8C2×D411yescharacteristic
277C2×C7⋊C8C2×D411yescharacteristic
278C2×C7⋊C8C2×D411yescharacteristic
279C2×C7⋊C8C2×D411yescharacteristic
280C2×C7⋊C8C2×D412yes—
281C2×C7⋊C8#4112yes—
282#1131—24no—
283#1131—24no—
284C8×D7—24no—
285C8×D7—24no—
286C2×#135—71no—
287C2×#135—71no—
288C2×#131—71no—
289C2×#131—71no—
290C2×#131—71no—
291C2×#131—71no—
292#532C2×D711yescharacteristic
293C4×#41—71no—
294#464—71no—
295#464—71no—
296#463—71no—
297#463—71no—
298#462—71no—
299#461—71no—
300#460—71no—
301#459—71no—
302#444—144no—
303#443—144no—
304#435—141no—
305#435—141no—
306#435—141no—
307#435—141no—
308C2×#108—71no—
309C2×#108—71no—
310#423—71no—
311C2×C4⋊C8—71no—
312C2×#104—71no—
313C2×#104—71no—
314C2×#104C2×D711yescharacteristic
315C2×#104C2×D711yescharacteristic
316C2×#104C2×D711yescharacteristic
317C2×#104C2×D711yescharacteristic
318#416—71no—
319#416—71no—
320#408—71no—
321#408—71no—
322#405—71no—
323#405—71no—
324#405—141no—
325#405—141no—
326C4×M16—141no—
327C4×M16C2×D711yescharacteristic
328C2×#97—71no—
329C2×#97—71no—
330C2×#97—141no—
331C2×C4×C8—71no—
332C4×C4⋊C4C2×D711yescharacteristic
333#341—71no—
334#341—71no—
335#339—71no—
336#339—71no—
337#336—71no—
338#336—71no—
339C23×C7—21no—
340C23×C7—21no—
341C23×C7C2×#4111yescharacteristic
342C22×D7—21no—
343C7×Q8—21no—
344C7×Q8—21no—
345C7×Q8—21no—
346C7×Q8—21no—
347C7×D4—21no—
348C7×D4—21no—
349C7×D4—21no—
350C7×D4—21no—
351C7×D4—41no—
352C7×D4—41no—
353C7×D4—41no—
354C7×D4—41no—
355C7×D4—81no—
356C7×D4—81no—
357C2×C4×C7—22no—
358C2×C4×C7—21no—
359C2×C4×C7—21no—
360C2×C4×C7—41no—
361C2×C4×C7—41no—
362C2×C4×C7—41no—
363C2×C4×C7—41no—
364C2×C4×C7—41no—
365C2×C4×C7—41no—
366C2×C4×C7—41no—
367C2×C4×C7—41no—
368C2×C4×C7—41no—
369C2×C4×C7—41no—
370C2×C4×C7—41no—
371C2×C4×C7C4×D411yescharacteristic
372C2×C4×C7C4×D411yescharacteristic
373C2×C4×C7C4×D411yescharacteristic
374C2×C4×C7C4×D411yescharacteristic
375C2×C4×C7C23×C411yescharacteristic
376C2×C4×C7C22×D411yescharacteristic
377C2×C4×C7C22×D411yescharacteristic
378C2×C4×C7C2×#4111yescharacteristic
379C2×C4×C7C2×#4111yescharacteristic
380C2×C4×C7C2×#4111yescharacteristic
381C22⋊D7—22no—
382C22⋊D7—22no—
383C2×Dic7—21no—
384C2×Dic7—21no—
385C2×Dic7—21no—
386D28—21no—
387D28C4×D412yes—
388C4×D7—22no—
389C4×D7—22no—
390C4×D7—81no—
391C4×D7—81no—
392Dic14—21no—
393Dic14C4×D412yes—
394C7×C8—22no—
395C7×C8—22no—
396C7⋊C8—21no—
397C7⋊C8—21no—
398C7⋊C8—21no—
399C7⋊C8—21no—
400C7⋊C8—21no—
401C7⋊C8—21no—
402C7⋊C8—41no—
403C7⋊C8—41no—
404C7⋊C8#12112yes—
405C7⋊C8#12112yes—
406C2×#41—71no—
407C2×#41C22×D711yescharacteristic
408C2×#41C22×D711yescharacteristic
409#135—142no—
410#135—142no—
411#135—142no—
412#135—142no—
413C2×Q16—71no—
414C2×Q16—71no—
415C2×SD16—71no—
416C2×SD16—71no—
417C2×SD16—71no—
418C2×SD16—71no—
419C2×D8—71no—
420C2×D8—71no—
421#131—74no—
422#131—142no—
423#131—142no—
424#131—142no—
425#131—142no—
426#131—142no—
427#131—142no—
428#131—142no—
429C2×M16—71no—
430C2×M16—71no—
431C2×M16—141no—
432C2×M16—141no—
433C2×M16—141no—
434C2×M16—141no—
435C2×M16C22×D711yescharacteristic
436C2×M16C22×D711yescharacteristic
437C22×C8—71no—
438C22×C8—71no—
439C22×C8—71no—
440C22×C8—71no—
441C22×C8—141no—
442C22×C8—141no—
443C22×C8—141no—
444C22×C8—141no—
445C4⋊Q8C4×D711yescharacteristic
446#127C4×D711yescharacteristic
447#124C4×D711yescharacteristic
448#124C4×D711yescharacteristic
449#121—21no—
450#121—21no—
451C4×Q8—71no—
452C4×Q8—71no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—71no—
456C4×D4—71no—
457C4×D4—141no—
458C4×D4—141no—
459#117—71no—
460#117—141no—
461C2×C4⋊C4—21no—
462C2×C42—141no—
463C2×C42C22×D711yescharacteristic
464C2×C42C22×D711yescharacteristic
465C2×C42C22×D711yescharacteristic
466#108—142no—
467#108—142no—
468C4⋊C8—71no—
469C4⋊C8—71no—
470C4⋊C8—71no—
471C4⋊C8—71no—
472C4⋊C8—141no—
473C4⋊C8—141no—
474#104—22no—
475#104—22no—
476#104—22no—
477#104—22no—
478#104—142no—
479#104—142no—
480#103—71no—
481#103—71no—
482#103—71no—
483#103—71no—
484#102—71no—
485#102—71no—
486#102—71no—
487#102—71no—
488C22⋊C8—141no—
489C22⋊C8—141no—
490C22⋊C8—141no—
491C22⋊C8—141no—
492#97—21no—
493#97—71no—
494#97—71no—
495#97—71no—
496#97—71no—
497#97—142no—
498#97—141no—
499#97—141no—
500C4×C8—21no—
501C4×C8—142no—
502C4×C8—141no—
503C4×C8—141no—
504#95—21no—
505C22×C7—21no—
506C22×C7—21no—
507C22×C7—41no—
508C22×C7—41no—
509C22×C7—41no—
510C22×C7—41no—
511C22×C7—41no—
512C22×C7—41no—
513C22×C7C2×C4×D411yescharacteristic
514C22×C7#52911yescharacteristic
515C22×C7#53211yescharacteristic
516C2×D7—22no—
517C2×D7—41no—
518C2×D7—41no—
519C4×C7—21no—
520C4×C7—21no—
521C4×C7—21no—
522C4×C7—21no—
523C4×C7—42no—
524C4×C7—41no—
525C4×C7—41no—
526C4×C7—81no—
527C4×C7C2×C4×D411yescharacteristic
528C4×C7C4×#4111yescharacteristic
529C4×C7C2×#12111yescharacteristic
530C4×C7#52511yescharacteristic
531Dic7—22no—
532Dic7—41no—
533Dic7—41no—
534#41—21no—
535#41—21no—
536#41—21no—
537#41—21no—
538#41—21no—
539#41—21no—
540#41—21no—
541#41—21no—
542#41—72no—
543#41—72no—
544#41—141no—
545#41—141no—
546C2×Q8—71no—
547C2×Q8C2×C4×D711yescharacteristic
548C2×Q8C2×C4×D711yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—71no—
554C2×D4—141no—
555C2×D4C2×C4×D711yescharacteristic
556C2×D4C2×C4×D711yescharacteristic
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—141no—
562C22×C4—141no—
563C22×C4—141no—
564C22×C4#115911yescharacteristic
565C22×C4#115911yescharacteristic
566C22×C4C23×D711yescharacteristic
567Q16—142no—
568Q16—142no—
569SD16—142no—
570SD16—142no—
571SD16—142no—
572SD16—142no—
573D8—142no—
574D8—142no—
575M16—21no—
576M16—21no—
577M16—144no—
578M16—144no—
579M16—141no—
580M16—141no—
581M16—141no—
582M16—141no—
583M16—282no—
584M16—282no—
585M16D4×D712yes—
586M16#115912yes—
587C2×C8—21no—
588C2×C8—21no—
589C2×C8—72no—
590C2×C8—71no—
591C2×C8—71no—
592C2×C8—72no—
593C2×C8—71no—
594C2×C8—71no—
595C2×C8—71no—
596C2×C8—71no—
597C2×C8—71no—
598C2×C8—71no—
599C2×C8—144no—
600C2×C8—144no—
601C2×C8—141no—
602C2×C8—141no—
603C2×C8—141no—
604C2×C8—141no—
605C2×C8—141no—
606C2×C8—141no—
607C2×C8—141no—
608C2×C8—141no—
609C2×C8—282no—
610C2×C8—282no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—42no—
614C4⋊C4—71no—
615C4⋊C4—71no—
616C4⋊C4—141no—
617C4⋊C4—141no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—141no—
623C22⋊C4—141no—
624C22⋊C4—141no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—141no—
630C42—141no—
631C42—141no—
632C42C2×C4×D711yescharacteristic
633C42C2×C4×D711yescharacteristic
634C42D4×D711yescharacteristic
635C42D4×D711yescharacteristic
636C2×C7—21no—
637C2×C7—21no—
638C2×C7—81no—
639C2×C7—81no—
640C2×C7C4×#12111yescharacteristic
641C2×C7#295611yescharacteristic
642C2×C7#295711yescharacteristic
643D7—42no—
644C23—21no—
645C23—21no—
646C23—141no—
647C23C2×#115911yescharacteristic
648Q8—21no—
649Q8—21no—
650Q8—21no—
651Q8—21no—
652Q8—72no—
653Q8—141no—
654D4—21no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—72no—
663D4—81no—
664D4—81no—
665D4—142no—
666D4—142no—
667D4—141no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—141no—
683C2×C4—142no—
684C2×C4—142no—
685C2×C4—141no—
686C2×C4—141no—
687C2×C4—561no—
688C2×C4—561no—
689C2×C4(C22⋊D7)⋊C411yescharacteristic
690C2×C4(C22⋊D7)⋊C411yescharacteristic
691C2×C4(C22⋊D7)⋊C411yescharacteristic
692C2×C4(C22⋊D7)⋊C411yescharacteristic
693C2×C4C22×C4×D711yescharacteristic
694C2×C4C2×D4×D711yescharacteristic
695C2×C4C2×D4×D711yescharacteristic
696C2×C4C2×#115911yescharacteristic
697C2×C4D7×#4111yescharacteristic
698C2×C4D7×#4111yescharacteristic
699C8—22no—
700C8—22no—
701C8—72no—
702C8—72no—
703C8—141no—
704C8—141no—
705C8—141no—
706C8—141no—
707C8—141no—
708C8—141no—
709C8—281no—
710C8—281no—
711C7#2151911yescharacteristic, complemented, Sylow
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—142no—
721C22—281no—
722C22—281no—
723C22C2×(C22⋊D7)⋊C411yescharacteristic
724C22#9037111yescharacteristic
725C22#9040711yescharacteristic
726C4—21no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—42no—
731C4—41no—
732C4—41no—
733C4—81no—
734C4—142no—
735C4—281no—
736C4—281no—
737C4C4×#115911yescharacteristic
738C4C4×D4×D711yescharacteristic
739C4D7×#12111yescharacteristic
740C4#9029711yescharacteristic
741C2—21no—
742C2—21no—
743C2—81no—
744C2—81no—
745C2—282no—
746C2#1173373611yescharacteristic
747C2#1173642511yescharacteristic
748C2#1173643511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1980C2
socleC22×C7C2×C4×D4
prime radical#11740741C2
cosocleC22×C4×C7C24
hypercenter#1980D7
hypocenterC7#21519
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1980

Complements

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

NH ≅ G/Ntype
2. #11740721C2semidirect
3. C2×#89595C2semidirect
4. C2×#89596C2semidirect
5. #11735961C2semidirect
6. C7×#1980C2semidirect
7. #11728144C2semidirect
8. #11728144C2semidirect
9. #11728124C2semidirect
10. #11728123C2semidirect
11. #11728121C2semidirect
12. #11728121C2semidirect
13. #11727629C2semidirect
14. #11727248C2semidirect
15. #11727232C2semidirect
38. #89862C4semidirect
39. #89855C4semidirect
40. #89847C4semidirect
41. #89844C4semidirect
42. #89829C4semidirect
43. #89829C4semidirect
44. #89826C4semidirect
45. #89826C4semidirect
119. #6470D4semidirect
174. #1980D7semidirect
711. C7#21519semidirect

Maximal subgroups

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

subgroupindex
#117407412
#117407212
C2×#895952
C2×#895962
#117359612
C7×#19802
#117281442
#117281242
#117281232
#117281212
#117276292
#117272482
#117272322
#215197