Finite Group Databasebeta

← #13277227

Subgroups — #13277227

Order 1792.

1506 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#391C211yesmaximal, characteristic
2C2×#90002C211yesmaximal, characteristic
3C2×#90002C211yesmaximal, characteristic
4C2×C4×C4⋊Dic7C211yesmaximal, characteristic
5C2×C4×Dic7⋊C4C211yesmaximal, characteristic
6#11729317C211yesmaximal, characteristic
7#11729317C211yesmaximal, characteristic
8#11727172C212yesmaximal
9#11727168C212yesmaximal
10#11727159C212yesmaximal
11#11727157C212yesmaximal
12C23×C7×Q8C2211yescharacteristic
13C22×C7×C4⋊C4C2211yescharacteristic
14C22×C42×C7C2211yescharacteristic
15C22×C4⋊Dic7C2211yescharacteristic
16C22×C4⋊Dic7C2211yescharacteristic
17C22×Dic7⋊C4C2211yescharacteristic
18C22×Dic7⋊C4C2211yescharacteristic
19C22×C4×Dic7C2211yescharacteristic
20C22×C4×Dic7C2212yes—
21C22×C4×Dic7C2211yescharacteristic
22C7×#391—24no—
23C2×C7×#95C2212yes—
24C2×C7×#95C2212yes—
25#90002—24no—
26#90002C418yescomplemented
27C2×C7⋊#95C2211yescharacteristic
28C2×C7⋊#95C2212yes—
29C2×C7⋊#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2211yescharacteristic
34C2×C7⋊#95C2212yes—
35C2×C7⋊#95C2212yes—
36C2×C7⋊#95C2212yes—
37C2×C7⋊#95C2212yes—
38C4×C4⋊Dic7—24no—
39C4×Dic7⋊C4—24no—
40#14021—71nomaximal, Sylow
41C22×C7×Q8—22no—
42C22×C7×Q8—22no—
43C22×C7×Q8—22no—
44C22×C7×Q8—22no—
45C22×C7×Q8—22no—
46C22×C7×Q8—22no—
47C22×C7×Q8C2×C414yes—
48C23×C4×C7C2312yes—
49C23×C4×C7C2312yes—
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2311yescharacteristic
52C23×C4×C7C2311yescharacteristic
53C23×Dic7C2312yes—
54C23×Dic7C2311yescharacteristic
55C23×Dic7C2312yes—
56C23×Dic7C2311yescharacteristic
57C23×Dic7C2311yescharacteristic
58C23×Dic7C2311yescharacteristic
59C2×C7×C4⋊C4—22no—
60C2×C7×C4⋊C4—22no—
61C2×C7×C4⋊C4—22no—
62C2×C42×C7—22no—
63C2×C42×C7—22no—
64C2×C42×C7D414yes—
65C2×C4⋊Dic7—22no—
66C2×C4⋊Dic7—22no—
67C2×C4⋊Dic7—22no—
68C2×C4⋊Dic7—22no—
69C2×C4⋊Dic7C2×C414yes—
70C2×C4⋊Dic7D414yes—
71C2×Dic7⋊C4—22no—
72C2×Dic7⋊C4—22no—
73C2×Dic7⋊C4—22no—
74C2×Dic7⋊C4—22no—
75C2×Dic7⋊C4—22no—
76C2×Dic7⋊C4Q814yescomplemented
77C2×C4×Dic7—22no—
78C2×C4×Dic7—22no—
79C2×C4×Dic7—22no—
80C2×C4×Dic7—22no—
81C2×C4×Dic7—24no—
82C2×C4×Dic7—22no—
83C2×C4×Dic7—24no—
84C2×C4×Dic7—42no—
85C2×C4×Dic7C2×C414yes—
86C7×#95—24no—
87C7×#95—24no—
88C7⋊#95—22no—
89C7⋊#95—22no—
90C7⋊#95—24no—
91C7⋊#95—24no—
92C7⋊#95—24no—
93C7⋊#95—24no—
94C7⋊#95—24no—
95C7⋊#95—42no—
96C7⋊#95—42no—
97C7⋊#95C2×C418yes—
98C7⋊#95C2×C418yes—
99C2×#391—71no—
100C2×#391—71no—
101C2×#391D711yescharacteristic
102C2×C4×C4⋊C4—71no—
103C2×C4×C4⋊C4—71no—
104#1443—72no—
105#1442—72no—
106#1436—72no—
107C4⋊#95—71no—
108C4⋊#95—71no—
109#1434—72no—
110C24×C7C2411yescharacteristic
111C2×C7×Q8—28no—
112C2×C7×Q8—28no—
113C2×C7×Q8—28no—
114C2×C7×Q8—44no—
115C2×C7×Q8—44no—
116C2×C7×Q8—44no—
117C2×C7×Q8—44no—
118C22×C4×C7—21no—
119C22×C4×C7—21no—
120C22×C4×C7—21no—
121C22×C4×C7—21no—
122C22×C4×C7—21no—
123C22×C4×C7—22no—
124C22×C4×C7—22no—
125C22×C4×C7—21no—
126C22×C4×C7—21no—
127C22×C4×C7—21no—
128C22×C4×C7—22no—
129C22×C4×C7—22no—
130C22×C4×C7—22no—
131C22×C4×C7—22no—
132C22×C4×C7—21no—
133C22×C4×C7—21no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—22no—
137C22×C4×C7—22no—
138C22×C4×C7—22no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7C22×C414yes—
142C22×C4×C7C22×C412yes—
143C22×C4×C7C2×D412yes—
144C22×C4×C7C2×D412yes—
145C22×C4×C7C2×D412yes—
146C22×C4×C7C2×D412yes—
147C22×C4×C7C2×Q812yes—
148C22×C4×C7#4112yes—
149C22×C4×C7#4112yes—
150C22×C4×C7#4112yes—
151C22×C4×C7#4112yes—
152C22×C4×C7#4112yes—
153C22×Dic7—21no—
154C22×Dic7—21no—
155C22×Dic7—21no—
156C22×Dic7—21no—
157C22×Dic7—21no—
158C22×Dic7—21no—
159C22×Dic7—21no—
160C22×Dic7—21no—
161C22×Dic7—21no—
162C22×Dic7—22no—
163C22×Dic7—22no—
164C22×Dic7—22no—
165C22×Dic7—21no—
166C22×Dic7—22no—
167C22×Dic7—22no—
168C22×Dic7—21no—
169C22×Dic7—21no—
170C22×Dic7—21no—
171C22×Dic7—21no—
172C22×Dic7—22no—
173C22×Dic7—22no—
174C22×Dic7—22no—
175C22×Dic7—21no—
176C22×Dic7—21no—
177C22×Dic7—22no—
178C22×Dic7—22no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—22no—
183C22×Dic7—22no—
184C22×Dic7—21no—
185C22×Dic7—21no—
186C22×Dic7—21no—
187C22×Dic7C22×C412yes—
188C22×Dic7C22×C414yes—
189C22×Dic7C22×C412yes—
190C22×Dic7C2×D414yes—
191C22×Dic7C2×Q812yes—
192C22×Dic7C2×Q812yes—
193C22×Dic7#4112yes—
194C22×Dic7#4112yes—
195C7×C4⋊C4—44no—
196C42×C7—28no—
197C4⋊Dic7—28no—
198C4⋊Dic7—28no—
199Dic7⋊C4—28no—
200Dic7⋊C4—28no—
201C4×Dic7—28no—
202C4×Dic7—48no—
203C4×Dic7—44no—
204C23×Q8C2×D711yescharacteristic
205C22×C4⋊C4—71no—
206C22×C4⋊C4—71no—
207C22×C4⋊C4—71no—
208C22×C4⋊C4—71no—
209C22×C4⋊C4C2×D711yescharacteristic
210C22×C42—71no—
211C22×C42—71no—
212C22×C42—72no—
213C22×C42C2×D711yescharacteristic
214#391—24no—
215#391—78no—
216#391—144no—
217C4×C4⋊C4—144no—
218C4×C4⋊C4—144no—
219C2×#95—72no—
220C2×#95—72no—
221C2×#95—71no—
222C2×#95—72no—
223C2×#95—72no—
224C2×#95—72no—
225C2×#95—72no—
226C2×#95—72no—
227C2×#95—71no—
228C2×#95—72no—
229C2×#95—72no—
230C2×#95C2×D712yes—
231C2×#95C2×D712yes—
232C23×C7C23×C411yescharacteristic
233C23×C7C22×D411yescharacteristic
234C23×C7C22×D411yescharacteristic
235C23×C7C22×Q811yescharacteristic
236C23×C7C2×#4111yescharacteristic
237C23×C7C2×#4111yescharacteristic
238C23×C7C2×#4111yescharacteristic
239C23×C7C2×#4111yescharacteristic
240C23×C7C2×#4111yescharacteristic
241C23×C7C2×#4111yescharacteristic
242C23×C7C2×#4111yescharacteristic
243C23×C7H(5,𝔽2)11yescharacteristic
244C23×C72−1+411yescharacteristic
245C23×C72−1+411yescharacteristic
246C23×C72−1+411yescharacteristic
247C7×Q8—416no—
248C2×C4×C7—22no—
249C2×C4×C7—22no—
250C2×C4×C7—22no—
251C2×C4×C7—22no—
252C2×C4×C7—22no—
253C2×C4×C7—22no—
254C2×C4×C7—24no—
255C2×C4×C7—24no—
256C2×C4×C7—24no—
257C2×C4×C7—22no—
258C2×C4×C7—22no—
259C2×C4×C7—22no—
260C2×C4×C7—42no—
261C2×C4×C7—42no—
262C2×C4×C7—42no—
263C2×C4×C7—42no—
264C2×C4×C7—41no—
265C2×C4×C7—41no—
266C2×C4×C7—41no—
267C2×C4×C7—41no—
268C2×C4×C7—42no—
269C2×C4×C7—42no—
270C2×C4×C7—42no—
271C2×C4×C7—42no—
272C2×C4×C7—42no—
273C2×C4×C7—42no—
274C2×C4×C7—42no—
275C2×C4×C7#11714yes—
276C2×C4×C7C4×D414yes—
277C2×C4×C7C4×D414yes—
278C2×C4×C7#12114yes—
279C2×C4×C7C22⋊Q814yes—
280C2×C4×C7#12314yes—
281C2×C4×C7#12414yes—
282C2×C4×C7#12614yes—
283C2×Dic7—22no—
284C2×Dic7—22no—
285C2×Dic7—22no—
286C2×Dic7—22no—
287C2×Dic7—22no—
288C2×Dic7—22no—
289C2×Dic7—22no—
290C2×Dic7—24no—
291C2×Dic7—24no—
292C2×Dic7—22no—
293C2×Dic7—22no—
294C2×Dic7—24no—
295C2×Dic7—22no—
296C2×Dic7—24no—
297C2×Dic7—22no—
298C2×Dic7—24no—
299C2×Dic7—24no—
300C2×Dic7—22no—
301C2×Dic7—22no—
302C2×Dic7—22no—
303C2×Dic7—22no—
304C2×Dic7—41no—
305C2×Dic7—41no—
306C2×Dic7—42no—
307C2×Dic7—41no—
308C2×Dic7—41no—
309C2×Dic7—41no—
310C2×Dic7—41no—
311C2×Dic7—41no—
312C2×Dic7—41no—
313C2×Dic7—42no—
314C2×Dic7—42no—
315C2×Dic7—41no—
316C2×Dic7—41no—
317C2×Dic7—42no—
318C2×Dic7—41no—
319C2×Dic7—42no—
320C2×Dic7—42no—
321C2×Dic7—41no—
322C2×Dic7—42no—
323C2×Dic7—42no—
324C2×Dic7C4×Q814yes—
325C22×Q8—22no—
326C22×Q8—22no—
327C22×Q8—22no—
328C22×Q8—22no—
329C22×Q8—22no—
330C22×Q8—22no—
331C22×Q8C4×D714yes—
332C23×C4—71no—
333C23×C4—72no—
334C23×C4—72no—
335C23×C4—71no—
336C23×C4—71no—
337C23×C4—71no—
338C23×C4C22×D712yes—
339C23×C4C22×D712yes—
340C23×C4C22×D711yescharacteristic
341C23×C4C22×D711yescharacteristic
342C23×C4C22×D711yescharacteristic
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—74no—
347C2×C4⋊C4—74no—
348C2×C4⋊C4—74no—
349C2×C4⋊C4—142no—
350C2×C4⋊C4—142no—
351C2×C4⋊C4—142no—
352C2×C4⋊C4—142no—
353C2×C4⋊C4—142no—
354C2×C4⋊C4—142no—
355C2×C4⋊C4—142no—
356C2×C4⋊C4—142no—
357C2×C4⋊C4—142no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—74no—
361C2×C42—142no—
362C2×C42—142no—
363C2×C42—144no—
364C2×C42—142no—
365C2×C42—142no—
366C2×C42—144no—
367C2×C42—142no—
368C2×C42—282no—
369C2×C42C22⋊D714yes—
370#95—24no—
371#95—24no—
372#95—78no—
373#95—78no—
374#95—144no—
375#95—144no—
376#95—144no—
377#95—144no—
378#95—144no—
379#95—142no—
380#95—142no—
381#95—282no—
382#95—282no—
383C22×C7C2×#11711yescharacteristic
384C22×C7C2×C4×D411yescharacteristic
385C22×C7C2×C4×D411yescharacteristic
386C22×C7C2×C4×Q811yescharacteristic
387C22×C7C4×#4111yescharacteristic
388C22×C7#51911yescharacteristic
389C22×C7#52011yescharacteristic
390C22×C7C2×#12111yescharacteristic
391C22×C7C2×C22⋊Q811yescharacteristic
392C22×C7C2×#12311yescharacteristic
393C22×C7#52511yescharacteristic
394C22×C7C2×#12411yescharacteristic
395C22×C7C2×#12611yescharacteristic
396C22×C7#52911yescharacteristic
397C22×C7#53311yescharacteristic
398C22×C7#53611yescharacteristic
399C22×C7#53711yescharacteristic
400C22×C7#54111yescharacteristic
401C22×C7#54211yescharacteristic
402C22×C7#54611yescharacteristic
403C22×C7#54711yescharacteristic
404C22×C7#54811yescharacteristic
405C22×C7D4×Q811yescharacteristic
406C22×C7#55211yescharacteristic
407C22×C7#55211yescharacteristic
408C22×C7#55411yescharacteristic
409C22×C7#55611yescharacteristic
410C22×C7#55611yescharacteristic
411C22×C7#55611yescharacteristic
412C22×C7#55611yescharacteristic
413C22×C7#55611yescharacteristic
414C22×C7#55711yescharacteristic
415C22×C7#55711yescharacteristic
416C22×C7#55911yescharacteristic
417C22×C7#55911yescharacteristic
418C4×C7—24no—
419C4×C7—42no—
420C4×C7—44no—
421C4×C7—82no—
422C4×C7#38818yes—
423Dic7—24no—
424Dic7—42no—
425Dic7—44no—
426Dic7—42no—
427Dic7—42no—
428Dic7—44no—
429C24C23×D711yescharacteristic
430C2×Q8—28no—
431C2×Q8—28no—
432C2×Q8—28no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8—44no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—72no—
461C22×C4—72no—
462C22×C4—72no—
463C22×C4—72no—
464C22×C4—74no—
465C22×C4—74no—
466C22×C4—72no—
467C22×C4—72no—
468C22×C4—141no—
469C22×C4—141no—
470C22×C4—141no—
471C22×C4—141no—
472C22×C4—141no—
473C22×C4—142no—
474C22×C4—141no—
475C22×C4—141no—
476C22×C4—142no—
477C22×C4—141no—
478C22×C4—141no—
479C22×C4—142no—
480C22×C4—142no—
481C22×C4—142no—
482C22×C4—142no—
483C22×C4—141no—
484C22×C4—141no—
485C22×C4—142no—
486C22×C4—141no—
487C22×C4—142no—
488C22×C4—141no—
489C22×C4—141no—
490C22×C4—142no—
491C22×C4—142no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—141no—
495C22×C4—142no—
496C22×C4—142no—
497C22×C4—141no—
498C22×C4—141no—
499C22×C4—141no—
500C22×C4—141no—
501C22×C4—141no—
502C22×C4C2×C4×D714yes—
503C22×C4C2×C4×D712yes—
504C22×C4#115712yes—
505C22×C4D4×D712yes—
506C22×C4#115912yes—
507C22×C4#115912yes—
508C22×C4#115912yes—
509C22×C4Q8×D712yes—
510C22×C4#116112yes—
511C22×C4C2×C22⋊D712yes—
512C22×C4C2×C22⋊D712yes—
513C22×C4C2×C22⋊D712yes—
514C4⋊C4—44no—
515C4⋊C4—148no—
516C4⋊C4—148no—
517C4⋊C4—148no—
518C4⋊C4—148no—
519C42—28no—
520C42—148no—
521C42—288no—
522C42—284no—
523C2×C7C2×#38811yescharacteristic
524C2×C7C4×C22⋊Q811yescharacteristic
525C2×C7#232311yescharacteristic
526C2×C7#235511yescharacteristic
527C2×C7#235611yescharacteristic
528C2×C7#236511yescharacteristic
529C2×C7#236711yescharacteristic
530C2×C7#241511yescharacteristic
531C2×C7#241711yescharacteristic
532C2×C7#244611yescharacteristic
533C2×C7#244711yescharacteristic
534C2×C7#251111yescharacteristic
535C2×C7#251411yescharacteristic
536C2×C7#256811yescharacteristic
537C2×C7#259211yescharacteristic
538C23C22×C4×D711yescharacteristic
539C23C2×#115711yescharacteristic
540C23C2×D4×D711yescharacteristic
541C23C2×#115911yescharacteristic
542C23C2×#115911yescharacteristic
543C23C2×#115911yescharacteristic
544C23C2×Q8×D711yescharacteristic
545C23C2×#116111yescharacteristic
546C23#655111yescharacteristic
547C23#655111yescharacteristic
548C23D7×#4111yescharacteristic
549C23D7×#4111yescharacteristic
550C23#655311yescharacteristic
551C23#655411yescharacteristic
552C23C22×C22⋊D711yescharacteristic
553Q8—416no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—24no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—42no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—74no—
582C2×C4—142no—
583C2×C4—142no—
584C2×C4—142no—
585C2×C4—142no—
586C2×C4—142no—
587C2×C4—142no—
588C2×C4—144no—
589C2×C4—144no—
590C2×C4—142no—
591C2×C4—142no—
592C2×C4—142no—
593C2×C4—142no—
594C2×C4—144no—
595C2×C4—142no—
596C2×C4—144no—
597C2×C4—144no—
598C2×C4—144no—
599C2×C4—142no—
600C2×C4—142no—
601C2×C4—142no—
602C2×C4—142no—
603C2×C4—282no—
604C2×C4—282no—
605C2×C4—282no—
606C2×C4—282no—
607C2×C4—281no—
608C2×C4—281no—
609C2×C4—281no—
610C2×C4—281no—
611C2×C4—281no—
612C2×C4—281no—
613C2×C4—282no—
614C2×C4—281no—
615C2×C4—282no—
616C2×C4—281no—
617C2×C4—282no—
618C2×C4—281no—
619C2×C4—281no—
620C2×C4—282no—
621C2×C4—281no—
622C2×C4—281no—
623C2×C4#644014yes—
624C2×C4#644214yes—
625C2×C4(C22⋊D7)⋊C414yes—
626C2×C4#644614yes—
627C2×C4C4×C22⋊D714yes—
628C2×C4#649914yes—
629C2×C4#650214yes—
630C2×C4#650914yes—
631C7#1402111yescharacteristic, complemented, Sylow
632C22C2×#644011yescharacteristic
633C22C2×#644211yescharacteristic
634C22C2×(C22⋊D7)⋊C411yescharacteristic
635C22C2×#644611yescharacteristic
636C22C4×Q8×D711yescharacteristic
637C22#9026311yescharacteristic
638C22C4×#116111yescharacteristic
639C22#9026511yescharacteristic
640C22#9026911yescharacteristic
641C22#9027111yescharacteristic
642C22#9027311yescharacteristic
643C22#9027411yescharacteristic
644C22#9032111yescharacteristic
645C22#9032211yescharacteristic
646C22#9032311yescharacteristic
647C22#9032411yescharacteristic
648C22#9032611yescharacteristic
649C22#9033011yescharacteristic
650C22#9033211yescharacteristic
651C22#9033311yescharacteristic
652C22#9036211yescharacteristic
653C22#9036211yescharacteristic
654C22#9037211yescharacteristic
655C22#9037211yescharacteristic
656C22#9041211yescharacteristic
657C22#9041211yescharacteristic
658C22#9042311yescharacteristic
659C22#9042311yescharacteristic
660C22C2×C4×C22⋊D711yescharacteristic
661C22C2×#649911yescharacteristic
662C22C2×#650211yescharacteristic
663C22C2×#650911yescharacteristic
664C22#9050711yescharacteristic
665C22#9051911yescharacteristic
666C22#9052411yescharacteristic
667C4—24no—
668C4—42no—
669C4—44no—
670C4—82no—
671C4—144no—
672C4—282no—
673C4—282no—
674C4—282no—
675C4—284no—
676C4—284no—
677C4#8971718yes—
678C2#1173393411yescharacteristic
679C2#1173393511yescharacteristic
680C2#1173393711yescharacteristic
681C2#1173393811yescharacteristic
682C2#1173394711yescharacteristic
683C2#1173395011yescharacteristic
684C2#1173396711yescharacteristic
685C2#1173397011yescharacteristic
686C2C2×#8971711yescharacteristic
687C2C4×#650911yescharacteristic
688C2#1173993311yescharacteristic
689C2#1174025911yescharacteristic
690C2#1174026011yescharacteristic
691C2#1174042111yescharacteristic
692C2#1174068911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#391C2
socle, prime radical, cosocleC24×C7C24
hypercenterC2×#391D7
hypocenterC7#14021
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
26. #90002C4semidirect
76. C2×Dic7⋊C4Q8semidirect
631. C7#14021semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3912
C2×#900022
C2×C4×C4⋊Dic72
C2×C4×Dic7⋊C42
#117293172
#117271722
#117271682
#117271592
#117271572
#140217