Finite Group Databasebeta

← D13⋊C3×#64424 #37524946

Subgroups — D13⋊C3×#64424 #37524946

Order 22932.

600 conjugacy classes of subgroups; only the 79 normal subgroups are shown.

normal subgroups only

This group has 600 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D13⋊C3×#3861C211yesmaximal, characteristic, complemented
2C13⋊C3×#64424C211yesmaximal, characteristic, complemented
3(C13⋊C3)⋊#64424C211yesmaximal, characteristic, complemented
4D13⋊C3×C7⋊D7C311yesmaximal, characteristic, complemented
5D13×#64424C311yesmaximal, characteristic, complemented
6#21439600C311yesmaximal, characteristic, complemented
7#21439599C311yesmaximal, characteristic, complemented
8C13⋊C3×#3861C2211yescharacteristic, complemented, Hall
9C13⋊C3×C7⋊D7C2×C311yescharacteristic, complemented
10(C13⋊C3)⋊(C7⋊D7)C2×C311yescharacteristic, complemented
11D13×#3861C2×C311yescharacteristic, complemented
12#16838474C2×C311yescharacteristic, complemented
13#16838473C2×C311yescharacteristic, complemented
14#16838450C2×C311yescharacteristic, complemented
15#16838449C2×C311yescharacteristic, complemented
16#16838448C2×C311yescharacteristic, complemented
17#16838447C2×C311yescharacteristic, complemented
18#16838446C2×C311yescharacteristic, complemented
19C13×#64424C2×C311yescharacteristic, complemented
20C72×D13⋊C3C2×C311yescharacteristic, complemented
21AGL(1,𝔽7)×D13⋊C3—71nomaximal
22AGL(1,𝔽7)×D13⋊C3—71nomaximal
23AGL(1,𝔽7)×D13⋊C3—71nomaximal
24AGL(1,𝔽7)×D13⋊C3—71nomaximal
25AGL(1,𝔽7)×D13⋊C3—73nomaximal
26AGL(1,𝔽7)×D13⋊C3—71nomaximal
27D13×C7⋊D7C3211yescharacteristic, complemented, Hall
28#14274263C22×C311yescharacteristic, complemented
29#14274262C22×C311yescharacteristic, complemented
30C13×#3861C22×C311yescharacteristic, complemented
31C72×C13⋊C3C22×C311yescharacteristic, complemented
32C2×C3×#64424—131nomaximal, Hall
33ΓL(1,𝔽8)⋊(D13⋊C3)—71no—
34ΓL(1,𝔽8)⋊(D13⋊C3)—71no—
35ΓL(1,𝔽8)⋊(D13⋊C3)—71no—
36ΓL(1,𝔽8)⋊(D13⋊C3)—71no—
37ΓL(1,𝔽8)⋊(D13⋊C3)—73no—
38ΓL(1,𝔽8)⋊(D13⋊C3)—71no—
39C13⋊C3×AGL(1,𝔽7)—71no—
40C13⋊C3×AGL(1,𝔽7)—71no—
41C13⋊C3×AGL(1,𝔽7)—71no—
42C13⋊C3×AGL(1,𝔽7)—73no—
43C13⋊C3×AGL(1,𝔽7)—71no—
44C13⋊C3×AGL(1,𝔽7)—71no—
45ΓL(1,𝔽8)×D13⋊C3—71no—
46ΓL(1,𝔽8)×D13⋊C3—71no—
47ΓL(1,𝔽8)×D13⋊C3—71no—
48ΓL(1,𝔽8)×D13⋊C3—71no—
49ΓL(1,𝔽8)×D13⋊C3—73no—
50ΓL(1,𝔽8)×D13⋊C3—71no—
51C7⋊D91C2×C3211yescharacteristic, complemented
52C13×C7⋊D7C2×C3211yescharacteristic, complemented
53C72×D13C2×C3211yescharacteristic, complemented
54#10587716⋊C2—71no—
55#10587716⋊C2—71no—
56#10587716⋊C2—71no—
57#10587716⋊C2—71no—
58#10587716⋊C2—73no—
59#10587716⋊C2—71no—
60#10587717⋊C2—71no—
61#10587717⋊C2—71no—
62#10587717⋊C2—71no—
63#10587717⋊C2—71no—
64#10587717⋊C2—73no—
65#10587717⋊C2—71no—
66D13×AGL(1,𝔽7)—71no—
67D13×AGL(1,𝔽7)—71no—
68D13×AGL(1,𝔽7)—71no—
69D13×AGL(1,𝔽7)—71no—
70D13×AGL(1,𝔽7)—73no—
71D13×AGL(1,𝔽7)—71no—
72D7×D13⋊C3—71no—
73D7×D13⋊C3—71no—
74D7×D13⋊C3—211no—
75D7×D13⋊C3—211no—
76D7×D13⋊C3—213no—
77D7×D13⋊C3—211no—
78C2×C3×#3861—131no—
79C3×#64424—131no—
80C3×#64424—131no—
81ΓL(1,𝔽8)×C13⋊C3—71no—
82ΓL(1,𝔽8)×C13⋊C3—71no—
83ΓL(1,𝔽8)×C13⋊C3—71no—
84ΓL(1,𝔽8)×C13⋊C3—73no—
85ΓL(1,𝔽8)×C13⋊C3—71no—
86ΓL(1,𝔽8)×C13⋊C3—71no—
87C72×C13C22×C3211yescharacteristic, complemented, Hall
88C2×C3×C7⋊D7—131no—
89C2×#64424—131no—
90C2×#64424—131no—
91C2×#64424—391no—
92#10587723—71no—
93#10587723—71no—
94#10587723—71no—
95#10587723—71no—
96#10587723—73no—
97#10587723—71no—
98#10587722—71no—
99#10587722—71no—
100#10587722—71no—
101#10587722—71no—
102#10587722—73no—
103#10587722—71no—
104#10587721—71no—
105#10587721—71no—
106#10587721—71no—
107#10587721—71no—
108#10587721—73no—
109#10587721—71no—
110#10587720—71no—
111#10587720—71no—
112#10587720—71no—
113#10587720—71no—
114#10587720—73no—
115#10587720—71no—
116ΓL(1,𝔽8)⋊D13—71no—
117ΓL(1,𝔽8)⋊D13—71no—
118ΓL(1,𝔽8)⋊D13—71no—
119ΓL(1,𝔽8)⋊D13—71no—
120ΓL(1,𝔽8)⋊D13—73no—
121ΓL(1,𝔽8)⋊D13—71no—
122C13×AGL(1,𝔽7)—71no—
123C13×AGL(1,𝔽7)—71no—
124C13×AGL(1,𝔽7)—71no—
125C13×AGL(1,𝔽7)—71no—
126C13×AGL(1,𝔽7)—73no—
127C13×AGL(1,𝔽7)—71no—
128#10587717—71no—
129#10587717—71no—
130#10587717—71no—
131#10587717—71no—
132#10587717—73no—
133#10587717—71no—
134#10587716—71no—
135#10587716—71no—
136#10587716—71no—
137#10587716—71no—
138#10587716—73no—
139#10587716—71no—
140ΓL(1,𝔽8)×D13—71no—
141ΓL(1,𝔽8)×D13—71no—
142ΓL(1,𝔽8)×D13—71no—
143ΓL(1,𝔽8)×D13—71no—
144ΓL(1,𝔽8)×D13—73no—
145ΓL(1,𝔽8)×D13—71no—
146(C13⋊C3)⋊D7—211no—
147(C13⋊C3)⋊D7—211no—
148(C13⋊C3)⋊D7—211no—
149(C13⋊C3)⋊D7—211no—
150(C13⋊C3)⋊D7—213no—
151(C13⋊C3)⋊D7—211no—
152D7×C13⋊C3—211no—
153D7×C13⋊C3—211no—
154D7×C13⋊C3—211no—
155D7×C13⋊C3—213no—
156D7×C13⋊C3—211no—
157D7×C13⋊C3—211no—
158C7×D13⋊C3AGL(1,𝔽7)11yescharacteristic, complemented
159C7×D13⋊C3AGL(1,𝔽7)11yescharacteristic, complemented
160C7×D13⋊C3AGL(1,𝔽7)11yescharacteristic, complemented
161C7×D13⋊C3AGL(1,𝔽7)11yescharacteristic, complemented
162C7×D13⋊C3AGL(1,𝔽7)13yescomplemented
163C7×D13⋊C3AGL(1,𝔽7)11yescharacteristic, complemented
164C2×C3×D13⋊C3—491noHall
165C3×#3861—131noHall
166D7×D13—71no—
167D7×D13—71no—
168D7×D13—211no—
169D7×D13—211no—
170D7×D13—213no—
171D7×D13—211no—
172C2×C3×C72—131no—
173C3×C7⋊D7—131no—
174C3×C7⋊D7—131no—
175C2×#3861—131no—
176C2×#3861—131no—
177C2×#3861—391no—
178#64424—131no—
179#64424—131no—
180#64424—131no—
181#64424—131no—
182#64424—391no—
183#64424D13⋊C311yescharacteristic, direct product factor
184#63271—71no—
185#63271—71no—
186#63271—71no—
187#63271—71no—
188#63271—73no—
189#63271—71no—
190#63270—71no—
191#63270—71no—
192#63270—71no—
193#63270—71no—
194#63270—73no—
195#63270—71no—
196C7×C13⋊C3C2×AGL(1,𝔽7)11yescharacteristic, complemented
197C7×C13⋊C3C2×AGL(1,𝔽7)11yescharacteristic, complemented
198C7×C13⋊C3C2×AGL(1,𝔽7)11yescharacteristic, complemented
199C7×C13⋊C3C2×AGL(1,𝔽7)13yescomplemented
200C7×C13⋊C3C2×AGL(1,𝔽7)11yescharacteristic, complemented
201C7×C13⋊C3C2×AGL(1,𝔽7)11yescharacteristic, complemented
202C13×ΓL(1,𝔽8)—71no—
203C13×ΓL(1,𝔽8)—71no—
204C13×ΓL(1,𝔽8)—71no—
205C13×ΓL(1,𝔽8)—71no—
206C13×ΓL(1,𝔽8)—73no—
207C13×ΓL(1,𝔽8)—71no—
208C2×C3×AGL(1,𝔽7)—911no—
209C2×C3×AGL(1,𝔽7)—911no—
210C2×C3×AGL(1,𝔽7)—913no—
211C2×C3×AGL(1,𝔽7)—911no—
212C2×C3×AGL(1,𝔽7)—911no—
213C2×C3×AGL(1,𝔽7)—911no—
214C2×C3×C13⋊C3—491no—
215C3×D13⋊C3—491no—
216C3×D13⋊C3—491no—
217C2×C7⋊D7—391noHall
218D91—211no—
219D91—211no—
220D91—211no—
221D91—211no—
222D91—213no—
223D91—211no—
224C7×D13C3×AGL(1,𝔽7)11yescharacteristic, complemented
225C7×D13C3×AGL(1,𝔽7)11yescharacteristic, complemented
226C7×D13C3×AGL(1,𝔽7)11yescharacteristic, complemented
227C7×D13C3×AGL(1,𝔽7)11yescharacteristic, complemented
228C7×D13C3×AGL(1,𝔽7)13yescomplemented
229C7×D13C3×AGL(1,𝔽7)11yescharacteristic, complemented
230C13×D7—211no—
231C13×D7—211no—
232C13×D7—211no—
233C13×D7—211no—
234C13×D7—213no—
235C13×D7—211no—
236C2×C3×D13—491no—
237C2×D13⋊C3—491no—
238C2×D13⋊C3—491no—
239C2×D13⋊C3—1471no—
240C3×C72—131no—
241#3861—131no—
242#3861—131no—
243#3861C2×D13⋊C311yescharacteristic, complemented
244C2×C3×ΓL(1,𝔽8)—911no—
245C2×C3×ΓL(1,𝔽8)—911no—
246C2×C3×ΓL(1,𝔽8)—913no—
247C2×C3×ΓL(1,𝔽8)—911no—
248C2×C3×ΓL(1,𝔽8)—911no—
249C2×C3×ΓL(1,𝔽8)—911no—
250C3×AGL(1,𝔽7)—911no—
251C3×AGL(1,𝔽7)—911no—
252C3×AGL(1,𝔽7)—913no—
253C3×AGL(1,𝔽7)—911no—
254C3×AGL(1,𝔽7)—911no—
255C3×AGL(1,𝔽7)—911no—
256C3×AGL(1,𝔽7)—911no—
257C3×AGL(1,𝔽7)—911no—
258C3×AGL(1,𝔽7)—913no—
259C3×AGL(1,𝔽7)—911no—
260C3×AGL(1,𝔽7)—911no—
261C3×AGL(1,𝔽7)—911no—
262C3×C13⋊C3—491noHall
263C2×C72—391no—
264C7⋊D7—391no—
265C7⋊D7C3×D13⋊C311yescharacteristic, complemented
266C7×C13C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
267C7×C13C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
268C7×C13C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
269C7×C13C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
270C7×C13C2×C3×AGL(1,𝔽7)13yescomplemented
271C7×C13C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
272C2×C3×D7—2731no—
273C2×C3×D7—2731no—
274C2×C3×D7—2733no—
275C2×C3×D7—2731no—
276C2×C3×D7—2731no—
277C2×C3×D7—911no—
278C2×AGL(1,𝔽7)—2731no—
279C2×AGL(1,𝔽7)—2731no—
280C2×AGL(1,𝔽7)—2731no—
281C2×AGL(1,𝔽7)—2733no—
282C2×AGL(1,𝔽7)—2731no—
283C2×AGL(1,𝔽7)—911no—
284C2×AGL(1,𝔽7)—911no—
285C2×AGL(1,𝔽7)—911no—
286C2×AGL(1,𝔽7)—911no—
287C2×AGL(1,𝔽7)—911no—
288C2×AGL(1,𝔽7)—911no—
289C2×AGL(1,𝔽7)—913no—
290C2×AGL(1,𝔽7)—911no—
291C2×AGL(1,𝔽7)—911no—
292C2×AGL(1,𝔽7)—911no—
293C2×AGL(1,𝔽7)—911no—
294C2×AGL(1,𝔽7)—913no—
295C2×AGL(1,𝔽7)—911no—
296C2×C3×C13—491no—
297C3×D13—491no—
298C3×D13—491no—
299C2×C13⋊C3—491no—
300C2×C13⋊C3—491no—
301C2×C13⋊C3—1471no—
302D13⋊C3—491no—
303D13⋊C3—491no—
304D13⋊C3—491no—
305D13⋊C3—491no—
306D13⋊C3—1471no—
307D13⋊C3#6442411yescharacteristic, direct product factor
308C3×ΓL(1,𝔽8)—911no—
309C3×ΓL(1,𝔽8)—911no—
310C3×ΓL(1,𝔽8)—913no—
311C3×ΓL(1,𝔽8)—911no—
312C3×ΓL(1,𝔽8)—911no—
313C3×ΓL(1,𝔽8)—911no—
314C2×D13—1471noHall
315C72C2×C3×D13⋊C311yescharacteristic, complemented, Sylow
316C2×C3×C7—131no—
317C2×C3×C7—131no—
318C2×C3×C7—133no—
319C2×C3×C7—131no—
320C2×C3×C7—131no—
321C2×C3×C7—131no—
322C3×D7—2731no—
323C3×D7—2731no—
324C3×D7—2731no—
325C3×D7—2733no—
326C3×D7—2731no—
327C3×D7—2731no—
328C3×D7—2731no—
329C3×D7—2733no—
330C3×D7—2731no—
331C3×D7—2731no—
332C3×D7—911no—
333C3×D7—911no—
334C2×ΓL(1,𝔽8)—2731no—
335C2×ΓL(1,𝔽8)—2731no—
336C2×ΓL(1,𝔽8)—2731no—
337C2×ΓL(1,𝔽8)—2733no—
338C2×ΓL(1,𝔽8)—2731no—
339C2×ΓL(1,𝔽8)—2731no—
340C2×ΓL(1,𝔽8)—911no—
341C2×ΓL(1,𝔽8)—911no—
342C2×ΓL(1,𝔽8)—911no—
343C2×ΓL(1,𝔽8)—911no—
344C2×ΓL(1,𝔽8)—913no—
345C2×ΓL(1,𝔽8)—911no—
346C2×ΓL(1,𝔽8)—911no—
347C2×ΓL(1,𝔽8)—911no—
348C2×ΓL(1,𝔽8)—911no—
349C2×ΓL(1,𝔽8)—911no—
350C2×ΓL(1,𝔽8)—913no—
351C2×ΓL(1,𝔽8)—911no—
352AGL(1,𝔽7)—71no—
353AGL(1,𝔽7)—71no—
354AGL(1,𝔽7)—71no—
355AGL(1,𝔽7)—73no—
356AGL(1,𝔽7)—71no—
357AGL(1,𝔽7)—71no—
358AGL(1,𝔽7)—2731no—
359AGL(1,𝔽7)—2731no—
360AGL(1,𝔽7)—2731no—
361AGL(1,𝔽7)—2733no—
362AGL(1,𝔽7)—2731no—
363AGL(1,𝔽7)—911no—
364AGL(1,𝔽7)—911no—
365AGL(1,𝔽7)—911no—
366AGL(1,𝔽7)—911no—
367AGL(1,𝔽7)—911no—
368AGL(1,𝔽7)—911no—
369AGL(1,𝔽7)—911no—
370AGL(1,𝔽7)—911no—
371AGL(1,𝔽7)—913no—
372AGL(1,𝔽7)—911no—
373AGL(1,𝔽7)—911no—
374AGL(1,𝔽7)—911no—
375AGL(1,𝔽7)—911no—
376AGL(1,𝔽7)—913no—
377AGL(1,𝔽7)—911no—
378AGL(1,𝔽7)—911no—
379AGL(1,𝔽7)—911no—
380AGL(1,𝔽7)—911no—
381AGL(1,𝔽7)—913no—
382AGL(1,𝔽7)—911no—
383AGL(1,𝔽7)—911no—
384AGL(1,𝔽7)—911no—
385AGL(1,𝔽7)—911no—
386AGL(1,𝔽7)—913no—
387AGL(1,𝔽7)—911no—
388C3×C13—491no—
389C13⋊C3—491no—
390C13⋊C3—491no—
391C13⋊C3C2×#6442411yescharacteristic, complemented
392C22×C32—6371noHall
393C2×D7—2731no—
394C2×D7—8191no—
395C2×D7—8191no—
396C2×D7—8191no—
397C2×D7—8193no—
398C2×D7—8191no—
399C2×C13—1471no—
400D13—1471no—
401D13C3×#6442411yescharacteristic, complemented
402C3×C7—131no—
403C3×C7—131no—
404C3×C7—133no—
405C3×C7—131no—
406C3×C7—131no—
407C3×C7—131no—
408ΓL(1,𝔽8)—71no—
409ΓL(1,𝔽8)—71no—
410ΓL(1,𝔽8)—71no—
411ΓL(1,𝔽8)—73no—
412ΓL(1,𝔽8)—71no—
413ΓL(1,𝔽8)—71no—
414ΓL(1,𝔽8)—911no—
415ΓL(1,𝔽8)—911no—
416ΓL(1,𝔽8)—911no—
417ΓL(1,𝔽8)—911no—
418ΓL(1,𝔽8)—913no—
419ΓL(1,𝔽8)—911no—
420ΓL(1,𝔽8)—911no—
421ΓL(1,𝔽8)—911no—
422ΓL(1,𝔽8)—911no—
423ΓL(1,𝔽8)—911no—
424ΓL(1,𝔽8)—913no—
425ΓL(1,𝔽8)—911no—
426C2×C32—6371no—
427C2×C32—6371no—
428C2×C32—6371no—
429C2×C7—391no—
430C2×C7—391no—
431C2×C7—391no—
432C2×C7—391no—
433C2×C7—393no—
434C2×C7—391no—
435D7—71no—
436D7—2731no—
437D7—211no—
438D7—211no—
439D7—211no—
440D7—213no—
441D7—211no—
442D7—8191no—
443D7—8191no—
444D7—8191no—
445D7—8193no—
446D7—8191no—
447C13C2×C3×#6442411yescharacteristic, complemented, Sylow
448C22×C3—19111no—
449C22×C3—19111no—
450C22×C3—6371no—
451C22×C3—6371no—
452C32—6371noSylow
453C7AGL(1,𝔽7)×D13⋊C311yescharacteristic, complemented
454C7AGL(1,𝔽7)×D13⋊C311yescharacteristic, complemented
455C7AGL(1,𝔽7)×D13⋊C311yescharacteristic, complemented
456C7AGL(1,𝔽7)×D13⋊C311yescharacteristic, complemented
457C7AGL(1,𝔽7)×D13⋊C313yescomplemented
458C7AGL(1,𝔽7)×D13⋊C311yescharacteristic, complemented
459C2×C3—131no—
460C2×C3—491no—
461C2×C3—19111no—
462C2×C3—19111no—
463C2×C3—19111no—
464C2×C3—6371no—
465C2×C3—6371no—
466C2×C3—6371no—
467C2×C3—6371no—
468C2×C3—6371no—
469C2×C3—6371no—
470C2×C3—6371no—
471C22—19111noSylow
472C3—131no—
473C3—491no—
474C3—6371no—
475C3—6371no—
476C2—131no—
477C2—57331no—
478C2—1471no—
subgroupG/H
center, Frattini, hypercenterC1G
commutator, Fitting, socle, cosocle, hypocenterC72×C13C22×C32
LCSG ▷ C72×C13
UCSC1

Complements

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

NH ≅ G/Ntype
1. D13⋊C3×#3861C2semidirect
2. C13⋊C3×#64424C2semidirect
3. (C13⋊C3)⋊#64424C2semidirect
4. D13⋊C3×C7⋊D7C3semidirect
5. D13×#64424C3semidirect
6. #21439600C3semidirect
7. #21439599C3semidirect
8. C13⋊C3×#3861C22semidirect
9. C13⋊C3×C7⋊D7C2×C3semidirect
10. (C13⋊C3)⋊(C7⋊D7)C2×C3semidirect
11. D13×#3861C2×C3semidirect
12. #16838474C2×C3semidirect
13. #16838473C2×C3semidirect
14. #16838450C2×C3semidirect
15. #16838449C2×C3semidirect
16. #16838448C2×C3semidirect
17. #16838447C2×C3semidirect
18. #16838446C2×C3semidirect
19. C13×#64424C2×C3semidirect
20. C72×D13⋊C3C2×C3semidirect
27. D13×C7⋊D7C32semidirect
28. #14274263C22×C3semidirect
29. #14274262C22×C3semidirect
30. C13×#3861C22×C3semidirect
31. C72×C13⋊C3C22×C3semidirect
51. C7⋊D91C2×C32semidirect
52. C13×C7⋊D7C2×C32semidirect
53. C72×D13C2×C32semidirect
87. C72×C13C22×C32semidirect
158. C7×D13⋊C3AGL(1,𝔽7)semidirect
159. C7×D13⋊C3AGL(1,𝔽7)semidirect
160. C7×D13⋊C3AGL(1,𝔽7)semidirect
161. C7×D13⋊C3AGL(1,𝔽7)semidirect
162. C7×D13⋊C3AGL(1,𝔽7)semidirect
163. C7×D13⋊C3AGL(1,𝔽7)semidirect
183. #64424D13⋊C3direct (N × H)
196. C7×C13⋊C3C2×AGL(1,𝔽7)semidirect
197. C7×C13⋊C3C2×AGL(1,𝔽7)semidirect
198. C7×C13⋊C3C2×AGL(1,𝔽7)semidirect
199. C7×C13⋊C3C2×AGL(1,𝔽7)semidirect
200. C7×C13⋊C3C2×AGL(1,𝔽7)semidirect
201. C7×C13⋊C3C2×AGL(1,𝔽7)semidirect
224. C7×D13C3×AGL(1,𝔽7)semidirect
225. C7×D13C3×AGL(1,𝔽7)semidirect
226. C7×D13C3×AGL(1,𝔽7)semidirect
227. C7×D13C3×AGL(1,𝔽7)semidirect
228. C7×D13C3×AGL(1,𝔽7)semidirect
229. C7×D13C3×AGL(1,𝔽7)semidirect
243. #3861C2×D13⋊C3semidirect
265. C7⋊D7C3×D13⋊C3semidirect
266. C7×C13C2×C3×AGL(1,𝔽7)semidirect
267. C7×C13C2×C3×AGL(1,𝔽7)semidirect
268. C7×C13C2×C3×AGL(1,𝔽7)semidirect
269. C7×C13C2×C3×AGL(1,𝔽7)semidirect
270. C7×C13C2×C3×AGL(1,𝔽7)semidirect
271. C7×C13C2×C3×AGL(1,𝔽7)semidirect
307. D13⋊C3#64424direct (N × H)
315. C72C2×C3×D13⋊C3semidirect
391. C13⋊C3C2×#64424semidirect
401. D13C3×#64424semidirect
447. C13C2×C3×#64424semidirect
453. C7AGL(1,𝔽7)×D13⋊C3semidirect
454. C7AGL(1,𝔽7)×D13⋊C3semidirect
455. C7AGL(1,𝔽7)×D13⋊C3semidirect
456. C7AGL(1,𝔽7)×D13⋊C3semidirect
457. C7AGL(1,𝔽7)×D13⋊C3semidirect
458. C7AGL(1,𝔽7)×D13⋊C3semidirect

Maximal subgroups

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

subgroupindex
D13⋊C3×#38612
C13⋊C3×#644242
(C13⋊C3)⋊#644242
D13⋊C3×C7⋊D73
D13×#644243
#214396003
#214395993
AGL(1,𝔽7)×D13⋊C37
C2×C3×#6442413