Finite Group Databasebeta

← C7×#23495 #13200711

Subgroups — C7×#23495 #13200711

Order 1792.

1422 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3449C211yesmaximal, characteristic
2C2×C7×#428C211yesmaximal, characteristic, complemented
3C2×C7×#421C211yesmaximal, characteristic, complemented
4C2×C7×#417C211yesmaximal, characteristic, complemented
5C2×C7×#413C211yesmaximal, characteristic, complemented
6C7×#2311C211yesmaximal, characteristic, complemented
7C7×#2038C214yesmaximal, complemented
8C7×#2037C214yesmaximal, complemented
9C7×#1733C211yesmaximal, characteristic, complemented
10C22×C7×#41C2211yescharacteristic
11C22×C7×#41C2211yescharacteristic
12C22×C7×M16C2211yescharacteristic
13C22×C7×M16C2211yescharacteristic
14C7×#537—21no—
15C7×#537—21no—
16C7×#536—21no—
17C7×#536C2212yes—
18C7×#535—21no—
19C7×#535C2212yes—
20C7×#534—22no—
21C7×#532—22no—
22C7×#525—22no—
23C7×#525—22no—
24C2×C7×#117C2211yescharacteristic
25C2×C7×#117C2211yescharacteristic
26C22×C7×C4⋊C4C2211yescharacteristic
27C7×#428—22no—
28C7×#428C2214yescomplemented
29C2×C7×#107—21no—
30C2×C7×#106—21no—
31C7×#421—24no—
32C2×C7×#104C2214yes—
33C7×#417—22no—
34C7×#417C2214yes—
35C2×C7×#103—21no—
36C2×C7×#102—21no—
37C7×#413—24no—
38C2×C7×#101C2212yescomplemented
39C2×C7×#100C2212yescomplemented
40C7×#391C2212yescomplemented
41C7×#390C2212yescomplemented
42C7×#386—22no—
43C7×#380—22no—
44C7×#339C2214yescomplemented
45#23495C711yesmaximal, characteristic, direct product factor, Sylow
46C2×C7×#41—21no—
47C2×C7×#41—21no—
48C2×C7×#41—21no—
49C2×C7×#41—21no—
50C2×C7×#41—21no—
51C2×C7×#41—21no—
52C2×C7×#41—22no—
53C2×C7×#41—22no—
54C2×C7×#41—22no—
55C2×C7×#41—22no—
56C2×C7×#41—22no—
57C2×C7×#41—22no—
58C2×C7×#41—22no—
59C2×C7×#41—22no—
60C2×C7×#41D412yes—
61C2×C7×#41C2312yes—
62C22×C7×Q8D411yescharacteristic
63C22×C7×Q8C2311yescharacteristic
64C22×C7×D4—21no—
65C22×C7×D4D412yes—
66C22×C7×D4D411yescharacteristic
67C22×C7×D4C2311yescharacteristic
68C23×C4×C7—21no—
69C23×C4×C7—21no—
70C23×C4×C7D412yes—
71C23×C4×C7C2311yescharacteristic
72C2×C7×M16—21no—
73C2×C7×M16—22no—
74C2×C7×M16—21no—
75C2×C7×M16—22no—
76C2×C7×M16—22no—
77C2×C7×M16D414yescomplemented
78C2×C7×M16C2312yes—
79C2×C7×M16C2312yes—
80C22×C7×C8—21no—
81C22×C7×C8—21no—
82C7×C4⋊Q8—22no—
83C7×#127—22no—
84C7×#124—22no—
85C7×#124—22no—
86C7×#123—24no—
87C7×#123—24no—
88C7×C22⋊Q8—22no—
89C7×C22⋊Q8—22no—
90C7×C22⋊Q8—22no—
91C7×C22⋊Q8—22no—
92C7×#121—22no—
93C7×#121—22no—
94C7×#121—24no—
95C7×#121—24no—
96C7×#121—22no—
97C7×#121—22no—
98C7×#120—24no—
99C7×#120—24no—
100C4×C7×D4—24no—
101C4×C7×D4—24no—
102C7×#117—21no—
103C7×#117—21no—
104C7×#117—22no—
105C7×#117—22no—
106C7×#117D412yes—
107C7×#117C2312yes—
108C2×C7×C4⋊C4—21no—
109C2×C7×C4⋊C4—21no—
110C2×C7×C4⋊C4—21no—
111C2×C7×C4⋊C4—21no—
112C2×C7×C4⋊C4—21no—
113C2×C7×C4⋊C4—21no—
114C2×C7×C4⋊C4D411yescharacteristic
115C2×C7×C4⋊C4D411yescharacteristic
116C2×C7×C4⋊C4C2312yes—
117C2×C7×C22⋊C4—21no—
118C2×C7×C22⋊C4—21no—
119C2×C7×C22⋊C4—24no—
120C2×C42×C7—21no—
121C2×C42×C7C2312yes—
122C7×#107—24no—
123C7×#106—24no—
124C7×#104—28no—
125C7×#103—24no—
126C7×#102—24no—
127C7×#101—24no—
128C7×#100—24no—
129C7×#95—24no—
130#3449C2×C711yescharacteristic
131C2×#428C2×C711yescharacteristic, complemented
132C2×#421C2×C711yescharacteristic, complemented
133C2×#417C2×C711yescharacteristic, complemented
134C2×#413C2×C711yescharacteristic, complemented
135#2311C2×C711yescharacteristic, complemented
136#2038C2×C714yescomplemented
137#2037C2×C714yescomplemented
138#1733C2×C711yescharacteristic, complemented
139C24×C7—21no—
140C24×C7C2×D412yes—
141C24×C7C2×D411yescharacteristic
142C7×#41—24no—
143C7×#41—24no—
144C7×#41—22no—
145C7×#41—22no—
146C7×#41—22no—
147C7×#41—22no—
148C7×#41—42no—
149C7×#41—42no—
150C7×#41—42no—
151C7×#41—42no—
152C7×#41—42no—
153C7×#41—42no—
154C7×#41—42no—
155C7×#41—42no—
156C7×#41—42no—
157C7×#41—42no—
158C7×#41—42no—
159C7×#41—42no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8—21no—
165C2×C7×Q8—21no—
166C2×C7×Q8—21no—
167C2×C7×Q8—22no—
168C2×C7×Q8—22no—
169C2×C7×Q8C2×D412yes—
170C2×C7×D4—22no—
171C2×C7×D4—22no—
172C2×C7×D4—22no—
173C2×C7×D4—24no—
174C2×C7×D4—24no—
175C2×C7×D4—22no—
176C2×C7×D4—24no—
177C2×C7×D4—24no—
178C2×C7×D4—21no—
179C2×C7×D4—22no—
180C2×C7×D4—22no—
181C2×C7×D4—21no—
182C2×C7×D4—21no—
183C2×C7×D4—21no—
184C2×C7×D4—21no—
185C2×C7×D4—21no—
186C2×C7×D4—21no—
187C2×C7×D4—42no—
188C2×C7×D4—42no—
189C2×C7×D4C2×D412yes—
190C22×C4×C7—21no—
191C22×C4×C7—21no—
192C22×C4×C7—21no—
193C22×C4×C7—22no—
194C22×C4×C7—22no—
195C22×C4×C7—22no—
196C22×C4×C7—24no—
197C22×C4×C7—24no—
198C22×C4×C7—22no—
199C22×C4×C7—22no—
200C22×C4×C7—22no—
201C22×C4×C7—42no—
202C22×C4×C7—42no—
203C22×C4×C7—41no—
204C22×C4×C7—41no—
205C22×C4×C7—82no—
206C22×C4×C7C2×D412yes—
207C22×C4×C7C2×D411yescharacteristic
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2×D412yes—
213C22×C4×C7#4112yes—
214C22×C4×C7#4112yes—
215C22×C4×C7#4112yes—
216C22×C4×C7C2411yescharacteristic
217C7×M16—24no—
218C7×M16—22no—
219C7×M16—22no—
220C7×M16—22no—
221C7×M16—42no—
222C7×M16C2×D414yes—
223C2×C7×C8—24no—
224C2×C7×C8—22no—
225C2×C7×C8—22no—
226C2×C7×C8—42no—
227C7×C4⋊C4—24no—
228C7×C4⋊C4—24no—
229C7×C4⋊C4—21no—
230C7×C4⋊C4—21no—
231C7×C4⋊C4—22no—
232C7×C4⋊C4—22no—
233C7×C4⋊C4—41no—
234C7×C4⋊C4—41no—
235C7×C4⋊C4—42no—
236C7×C4⋊C4C2×D412yes—
237C7×C4⋊C4C2×D412yes—
238C7×C22⋊C4—24no—
239C7×C22⋊C4—24no—
240C7×C22⋊C4—24no—
241C7×C22⋊C4—24no—
242C7×C22⋊C4—22no—
243C7×C22⋊C4—22no—
244C7×C22⋊C4—42no—
245C7×C22⋊C4—84no—
246C42×C7—22no—
247C42×C7—22no—
248C42×C7—22no—
249C42×C7—22no—
250C22×#41C22×C711yescharacteristic
251C22×#41C22×C711yescharacteristic
252C22×M16C22×C711yescharacteristic
253C22×M16C22×C711yescharacteristic
254#537—21no—
255#537—21no—
256#536—21no—
257#536C22×C712yes—
258#535—21no—
259#535C22×C712yes—
260#534—22no—
261#532—22no—
262#525—22no—
263#525—22no—
264C2×#117C22×C711yescharacteristic
265C2×#117C22×C711yescharacteristic
266C22×C4⋊C4C22×C711yescharacteristic
267#428—22no—
268#428C22×C714yescomplemented
269C2×#107—21no—
270C2×#106—21no—
271#421—24no—
272C2×#104C22×C714yes—
273#417—22no—
274#417C22×C714yes—
275C2×#103—21no—
276C2×#102—21no—
277#413—24no—
278C2×#101C22×C712yescomplemented
279C2×#100C22×C712yescomplemented
280#391C22×C712yescomplemented
281#390C22×C712yescomplemented
282#386—22no—
283#380—22no—
284#339C22×C714yescomplemented
285C23×C7—22no—
286C23×C7—22no—
287C23×C7—22no—
288C23×C7—22no—
289C23×C7—41no—
290C23×C7—41no—
291C23×C7—42no—
292C23×C7—42no—
293C23×C7—42no—
294C23×C7—81no—
295C23×C7—81no—
296C23×C7#12011yescharacteristic
297C23×C7#12011yescharacteristic
298C23×C7#12112yes—
299C23×C7#12312yes—
300C23×C7C22×D411yescharacteristic
301C7×Q8—22no—
302C7×Q8—22no—
303C7×Q8—41no—
304C7×Q8—41no—
305C7×Q8—41no—
306C7×Q8—41no—
307C7×Q8—42no—
308C7×D4—22no—
309C7×D4—22no—
310C7×D4—42no—
311C7×D4—42no—
312C7×D4—44no—
313C7×D4—44no—
314C7×D4—44no—
315C7×D4—41no—
316C7×D4—41no—
317C7×D4—41no—
318C7×D4—41no—
319C7×D4—42no—
320C7×D4—84no—
321C7×D4—84no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—42no—
329C2×C4×C7—42no—
330C2×C4×C7—42no—
331C2×C4×C7—44no—
332C2×C4×C7—44no—
333C2×C4×C7—44no—
334C2×C4×C7—42no—
335C2×C4×C7—44no—
336C2×C4×C7—42no—
337C2×C4×C7—42no—
338C2×C4×C7—42no—
339C2×C4×C7—81no—
340C2×C4×C7—81no—
341C2×C4×C7—82no—
342C2×C4×C7—82no—
343C2×C4×C7#12011yescharacteristic
344C2×C4×C7#12011yescharacteristic
345C2×C4×C7#12112yes—
346C2×C4×C7#12112yes—
347C2×C4×C7#12112yes—
348C2×C4×C7#12112yes—
349C2×C4×C7#12112yes—
350C2×C4×C7#12312yes—
351C2×C4×C7#12312yes—
352C2×C4×C7#12312yes—
353C2×C4×C7#12412yes—
354C2×C4×C7#12412yes—
355C2×C4×C7C22×D411yescharacteristic
356C2×C4×C7C22×D411yescharacteristic
357C2×C4×C7C22×D411yescharacteristic
358C2×C4×C7C2×#4111yescharacteristic
359C2×C4×C7C2×#4111yescharacteristic
360C2×C4×C7C2×#4111yescharacteristic
361C7×C8—24no—
362C7×C8—42no—
363C2×#41—21no—
364C2×#41—21no—
365C2×#41—21no—
366C2×#41—21no—
367C2×#41—21no—
368C2×#41—21no—
369C2×#41—22no—
370C2×#41—22no—
371C2×#41—22no—
372C2×#41—22no—
373C2×#41—22no—
374C2×#41—22no—
375C2×#41—22no—
376C2×#41—22no—
377C2×#41C7×D412yes—
378C2×#41C23×C712yes—
379C22×Q8C7×D411yescharacteristic
380C22×Q8C23×C711yescharacteristic
381C22×D4—21no—
382C22×D4C7×D412yes—
383C22×D4C7×D411yescharacteristic
384C22×D4C23×C711yescharacteristic
385C23×C4—21no—
386C23×C4—21no—
387C23×C4C7×D412yes—
388C23×C4C23×C711yescharacteristic
389C2×M16—21no—
390C2×M16—22no—
391C2×M16—21no—
392C2×M16—22no—
393C2×M16—22no—
394C2×M16C7×D414yescomplemented
395C2×M16C23×C712yes—
396C2×M16C23×C712yes—
397C22×C8—21no—
398C22×C8—21no—
399C4⋊Q8—22no—
400#127—22no—
401#124—22no—
402#124—22no—
403#123—24no—
404#123—24no—
405C22⋊Q8—22no—
406C22⋊Q8—22no—
407C22⋊Q8—22no—
408C22⋊Q8—22no—
409#121—22no—
410#121—22no—
411#121—24no—
412#121—24no—
413#121—22no—
414#121—22no—
415#120—24no—
416#120—24no—
417C4×D4—24no—
418C4×D4—24no—
419#117—21no—
420#117—21no—
421#117—22no—
422#117—22no—
423#117C7×D412yes—
424#117C23×C712yes—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4C7×D411yescharacteristic
432C2×C4⋊C4C7×D411yescharacteristic
433C2×C4⋊C4C23×C712yes—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—24no—
437C2×C42—21no—
438C2×C42C23×C712yes—
439#107—24no—
440#106—24no—
441#104—28no—
442#103—24no—
443#102—24no—
444#101—24no—
445#100—24no—
446#95—24no—
447C22×C7—21no—
448C22×C7—21no—
449C22×C7—21no—
450C22×C7—21no—
451C22×C7—21no—
452C22×C7—21no—
453C22×C7—42no—
454C22×C7—42no—
455C22×C7—44no—
456C22×C7—42no—
457C22×C7—42no—
458C22×C7—42no—
459C22×C7—42no—
460C22×C7—42no—
461C22×C7—42no—
462C22×C7—82no—
463C22×C7—84no—
464C22×C7#39412yes—
465C22×C7#39412yes—
466C22×C7C2×#12011yescharacteristic
467C22×C7C2×#12111yescharacteristic
468C22×C7C2×#12311yescharacteristic
469C4×C7—42no—
470C4×C7—42no—
471C4×C7—42no—
472C4×C7—42no—
473C4×C7—82no—
474C4×C7—82no—
475C4×C7#39412yes—
476C4×C7#39412yes—
477C4×C7C2×#12111yescharacteristic
478C4×C7C2×#12111yescharacteristic
479C4×C7C2×#12311yescharacteristic
480C4×C7C2×#12411yescharacteristic
481C24—21no—
482C24C2×C7×D412yes—
483C24C2×C7×D411yescharacteristic
484#41—24no—
485#41—24no—
486#41—22no—
487#41—22no—
488#41—22no—
489#41—22no—
490#41—42no—
491#41—42no—
492#41—42no—
493#41—42no—
494#41—42no—
495#41—42no—
496#41—42no—
497#41—42no—
498#41—42no—
499#41—42no—
500#41—42no—
501#41—42no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8C2×C7×D412yes—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—24no—
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4C2×C7×D412yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—41no—
546C22×C4—41no—
547C22×C4—82no—
548C22×C4C2×C7×D412yes—
549C22×C4C2×C7×D411yescharacteristic
550C22×C4C2×C7×D411yescharacteristic
551C22×C4C2×C7×D411yescharacteristic
552C22×C4C2×C7×D411yescharacteristic
553C22×C4C2×C7×D411yescharacteristic
554C22×C4C2×C7×D412yes—
555C22×C4C7×#4112yes—
556C22×C4C7×#4112yes—
557C22×C4C7×#4112yes—
558C22×C4C24×C711yescharacteristic
559M16—24no—
560M16—22no—
561M16—22no—
562M16—22no—
563M16—42no—
564M16C2×C7×D414yes—
565C2×C8—24no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—42no—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4—42no—
578C4⋊C4C2×C7×D412yes—
579C4⋊C4C2×C7×D412yes—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—84no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C2×C7—21no—
593C2×C7—21no—
594C2×C7—22no—
595C2×C7—22no—
596C2×C7—82no—
597C2×C7—82no—
598C2×C7C2×#39411yescharacteristic
599C2×C7#302111yescharacteristic
600C2×C7#302211yescharacteristic
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—81no—
611C23—81no—
612C23C7×#12011yescharacteristic
613C23C7×#12011yescharacteristic
614C23C7×#12112yes—
615C23C7×#12312yes—
616C23C22×C7×D411yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—41no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—42no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—42no—
628D4—44no—
629D4—44no—
630D4—44no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—41no—
635D4—42no—
636D4—84no—
637D4—84no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—81no—
656C2×C4—81no—
657C2×C4—82no—
658C2×C4—82no—
659C2×C4C7×#12011yescharacteristic
660C2×C4C7×#12011yescharacteristic
661C2×C4C7×#12112yes—
662C2×C4C7×#12112yes—
663C2×C4C7×#12112yes—
664C2×C4C7×#12112yes—
665C2×C4C7×#12112yes—
666C2×C4C7×#12312yes—
667C2×C4C7×#12312yes—
668C2×C4C7×#12312yes—
669C2×C4C7×#12412yes—
670C2×C4C7×#12412yes—
671C2×C4C22×C7×D411yescharacteristic
672C2×C4C22×C7×D411yescharacteristic
673C2×C4C22×C7×D411yescharacteristic
674C2×C4C2×C7×#4111yescharacteristic
675C2×C4C2×C7×#4111yescharacteristic
676C2×C4C2×C7×#4111yescharacteristic
677C8—24no—
678C8—42no—
679C7#2349511yescharacteristic, direct product factor, Sylow
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—82no—
696C22—84no—
697C22C7×#39412yes—
698C22C7×#39412yes—
699C22C2×C7×#12011yescharacteristic
700C22C2×C7×#12111yescharacteristic
701C22C2×C7×#12311yescharacteristic
702C4—42no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—82no—
707C4—82no—
708C4C7×#39412yes—
709C4C7×#39412yes—
710C4C2×C7×#12111yescharacteristic
711C4C2×C7×#12111yescharacteristic
712C4C2×C7×#12311yescharacteristic
713C4C2×C7×#12411yescharacteristic
714C2—21no—
715C2—21no—
716C2—22no—
717C2—22no—
718C2—82no—
719C2—82no—
720C2C2×C7×#39411yescharacteristic
721C2C7×#302111yescharacteristic
722C2C7×#302211yescharacteristic
subgroupG/H
center, socleC22×C7C2×#120
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC7×#3449C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C7 ◁ C23×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#428C2semidirect
3. C2×C7×#421C2semidirect
4. C2×C7×#417C2semidirect
5. C2×C7×#413C2semidirect
6. C7×#2311C2semidirect
7. C7×#2038C2semidirect
8. C7×#2037C2semidirect
9. C7×#1733C2semidirect
28. C7×#428C22semidirect
38. C2×C7×#101C22semidirect
39. C2×C7×#100C22semidirect
40. C7×#391C22semidirect
41. C7×#390C22semidirect
44. C7×#339C22semidirect
45. #23495C7direct (N × H)
77. C2×C7×M16D4semidirect
131. C2×#428C2×C7semidirect
132. C2×#421C2×C7semidirect
133. C2×#417C2×C7semidirect
134. C2×#413C2×C7semidirect
135. #2311C2×C7semidirect
136. #2038C2×C7semidirect
137. #2037C2×C7semidirect
138. #1733C2×C7semidirect
268. #428C22×C7semidirect
278. C2×#101C22×C7semidirect
279. C2×#100C22×C7semidirect
280. #391C22×C7semidirect
281. #390C22×C7semidirect
284. #339C22×C7semidirect
394. C2×M16C7×D4semidirect
679. C7#23495direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#34492
C2×C7×#4282
C2×C7×#4212
C2×C7×#4172
C2×C7×#4132
C7×#23112
C7×#20382
C7×#20372
C7×#17332
#234957