Finite Group Databasebeta

← #34196453

Subgroups — #34196453

Order 20224.

846 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×Dic79⋊C8C211yesmaximal, characteristic
2C2×#19098318C211yesmaximal, characteristic
3C2×#19098317C211yesmaximal, characteristic
4C2×#19098317C211yesmaximal, characteristic
5C2×#19098317C211yesmaximal, characteristic
6C4×C79⋊#95C211yesmaximal, characteristic
7C2×#336×C79C211yesmaximal, characteristic
8C23×C79⋊C8C2211yescharacteristic
9C23×C79⋊C8C2211yescharacteristic
10C22×C4×Dic79C2211yescharacteristic
11C22×C4×Dic79C2211yescharacteristic
12C2×Dic79⋊C8—22no—
13C2×Dic79⋊C8—22no—
14C2×Dic79⋊C8—22no—
15C2×C79⋊#95C411yescharacteristic
16C2×C79⋊#95C411yescharacteristic
17C2×C79⋊#95C411yescharacteristic
18C2×C79⋊#95C411yescharacteristic
19#19098318—22no—
20#19098317—22no—
21#19098317—22no—
22#19098317—22no—
23C23×C8×C79C2211yescharacteristic
24C23×C8×C79C2211yescharacteristic
25C22×C42×C79C2211yescharacteristic
26#336×C79—22no—
27C23×Dic79C2×C411yescharacteristic
28C23×Dic79C2×C411yescharacteristic
29C23×Dic79C2×C411yescharacteristic
30C23×Dic79C2×C411yescharacteristic
31C22×C79⋊C8—21no—
32C22×C79⋊C8—21no—
33C22×C79⋊C8—21no—
34C22×C79⋊C8—21no—
35C22×C79⋊C8—21no—
36C22×C79⋊C8—21no—
37C22×C79⋊C8—21no—
38C22×C79⋊C8—21no—
39C22×C79⋊C8—21no—
40C22×C79⋊C8—21no—
41C22×C79⋊C8—21no—
42C22×C79⋊C8—21no—
43C22×C79⋊C8D412yes—
44C22×C79⋊C8D412yes—
45C2×C4×Dic79—21no—
46C2×C4×Dic79—21no—
47C2×C4×Dic79—21no—
48C2×C4×Dic79—21no—
49C2×C4×Dic79—21no—
50C2×C4×Dic79—21no—
51C2×C4×Dic79—21no—
52C2×C4×Dic79—21no—
53C2×C4×Dic79—21no—
54C2×C4×Dic79—21no—
55C2×C4×Dic79D412yes—
56C2×C4×Dic79Q812yes—
57Dic79⋊C8—28no—
58C79⋊#95—22no—
59C79⋊#95—22no—
60C79⋊#95—22no—
61C79⋊#95C814yescomplemented
62C23×C4×C79C2×C411yescharacteristic
63C23×C4×C79C2×C411yescharacteristic
64C23×C4×C79C2311yescharacteristic
65C22×C8×C79—21no—
66C22×C8×C79—21no—
67C22×C8×C79—21no—
68C22×C8×C79—21no—
69C22×C8×C79—21no—
70C22×C8×C79—21no—
71C22×C8×C79—21no—
72C22×C8×C79—21no—
73C22×C8×C79—21no—
74C22×C8×C79—21no—
75C22×C8×C79—21no—
76C22×C8×C79—21no—
77C22×C8×C79D412yes—
78C22×C8×C79Q812yes—
79C2×C42×C79—21no—
80C2×C42×C79—21no—
81C2×C42×C79—21no—
82C2×C42×C79—21no—
83C2×C42×C79—21no—
84C2×C42×C79—21no—
85C22×Dic79—21no—
86C22×Dic79—21no—
87C22×Dic79—21no—
88C22×Dic79—21no—
89C22×Dic79—21no—
90C22×Dic79—21no—
91C22×Dic79—21no—
92C22×Dic79—21no—
93C22×Dic79—21no—
94C22×Dic79—21no—
95C22×Dic79—21no—
96C22×Dic79—21no—
97C22×Dic79—21no—
98C22×Dic79—21no—
99C22×Dic79—21no—
100C22×Dic79—21no—
101C22×Dic79—21no—
102C22×Dic79—21no—
103C22×Dic79—21no—
104C22×Dic79—21no—
105C22×Dic79—21no—
106C22×Dic79—21no—
107C22×Dic79C4⋊C412yes—
108C22×Dic79C4⋊C412yes—
109C22×Dic79C2×C812yes—
110C22×Dic79C2×C812yes—
111C22×Dic79M1612yes—
112C22×Dic79M1612yes—
113C2×C79⋊C8—22no—
114C2×C79⋊C8—22no—
115C2×C79⋊C8—22no—
116C2×C79⋊C8—22no—
117C2×C79⋊C8—22no—
118C2×C79⋊C8—22no—
119C2×C79⋊C8—41no—
120C2×C79⋊C8—41no—
121C2×C79⋊C8—41no—
122C2×C79⋊C8—41no—
123C2×C79⋊C8—41no—
124C2×C79⋊C8—41no—
125C2×C79⋊C8—41no—
126C2×C79⋊C8—41no—
127C4×Dic79—22no—
128C4×Dic79—22no—
129C4×Dic79—22no—
130C4×Dic79—22no—
131C4×Dic79—41no—
132C4×Dic79—41no—
133C4×Dic79—41no—
134C4×Dic79—41no—
135C24×C79C22×C411yescharacteristic
136C22×C4×C79—21no—
137C22×C4×C79—21no—
138C22×C4×C79—21no—
139C22×C4×C79—21no—
140C22×C4×C79—21no—
141C22×C4×C79—21no—
142C22×C4×C79—21no—
143C22×C4×C79—21no—
144C22×C4×C79—21no—
145C22×C4×C79—21no—
146C22×C4×C79—21no—
147C22×C4×C79—21no—
148C22×C4×C79C2×C812yes—
149C22×C4×C79M1612yes—
150C22×C4×C79C2×D411yescharacteristic
151C22×C4×C79C2×D411yescharacteristic
152C22×C4×C79C2×D411yescharacteristic
153C22×C4×C79C2×D411yescharacteristic
154C22×C4×C79C2×Q811yescharacteristic
155C22×C4×C79C2×Q811yescharacteristic
156C22×C4×C79#4111yescharacteristic
157C22×C4×C79#4111yescharacteristic
158C22×C4×C79#4111yescharacteristic
159C22×C4×C79#4111yescharacteristic
160C22×C4×C79#4111yescharacteristic
161C22×C4×C79#4111yescharacteristic
162C22×C4×C79#4111yescharacteristic
163C22×C4×C79#4111yescharacteristic
164C2×C8×C79—22no—
165C2×C8×C79—22no—
166C2×C8×C79—22no—
167C2×C8×C79—22no—
168C2×C8×C79—22no—
169C2×C8×C79—22no—
170C2×C8×C79—41no—
171C2×C8×C79—41no—
172C2×C8×C79—41no—
173C2×C8×C79—41no—
174C2×C8×C79—41no—
175C2×C8×C79—41no—
176C2×C8×C79—41no—
177C2×C8×C79—41no—
178C42×C79—41no—
179C42×C79—41no—
180C42×C79—41no—
181C42×C79—41no—
182C23×C79C2×C4⋊C411yescharacteristic
183C23×C79#11711yescharacteristic
184C23×C79#11711yescharacteristic
185C23×C79C4×D411yescharacteristic
186C23×C79C4×D411yescharacteristic
187C23×C79C4×D411yescharacteristic
188C23×C79C4×Q811yescharacteristic
189C23×C79C22×C811yescharacteristic
190C23×C79C2×M1611yescharacteristic
191C23×C79C2×M1611yescharacteristic
192C23×C79C2×M1611yescharacteristic
193C23×C79#13111yescharacteristic
194C23×C79#13111yescharacteristic
195C23×C79#13111yescharacteristic
196C23×C79#13111yescharacteristic
197C2×C4×C79—22no—
198C2×C4×C79—22no—
199C2×C4×C79—22no—
200C2×C4×C79—22no—
201C2×C4×C79—22no—
202C2×C4×C79—22no—
203C2×C4×C79—41no—
204C2×C4×C79—41no—
205C2×C4×C79—41no—
206C2×C4×C79—41no—
207C2×C4×C79—41no—
208C2×C4×C79—41no—
209C2×C4×C79—41no—
210C2×C4×C79—41no—
211C2×C4×C79#12011yescharacteristic
212C2×C4×C79#12111yescharacteristic
213C2×C4×C79#12111yescharacteristic
214C2×C4×C79#12111yescharacteristic
215C2×C4×C79C22⋊Q811yescharacteristic
216C2×C4×C79C22⋊Q811yescharacteristic
217C2×C4×C79C22⋊Q811yescharacteristic
218C2×C4×C79C22⋊Q811yescharacteristic
219C2×C4×C79C22⋊Q811yescharacteristic
220C2×C4×C79#12311yescharacteristic
221C2×C4×C79#12311yescharacteristic
222C2×C4×C79#12311yescharacteristic
223C2×C4×C79#12311yescharacteristic
224C2×C4×C79#12311yescharacteristic
225C2×C4×C79#12411yescharacteristic
226C2×C4×C79#12411yescharacteristic
227C2×C4×C79#12411yescharacteristic
228C2×C4×C79#12411yescharacteristic
229C2×C4×C79#12511yescharacteristic
230C2×C4×C79#12511yescharacteristic
231C2×C4×C79#12511yescharacteristic
232C2×C4×C79#12511yescharacteristic
233C2×C4×C79#12511yescharacteristic
234C2×C4×C79#12611yescharacteristic
235C2×C4×C79#12611yescharacteristic
236C2×C4×C79#12611yescharacteristic
237C2×C4×C79#12611yescharacteristic
238C2×C4×C79C4⋊Q811yescharacteristic
239C2×Dic79—22no—
240C2×Dic79—22no—
241C2×Dic79—22no—
242C2×Dic79—22no—
243C2×Dic79—22no—
244C2×Dic79—22no—
245C2×Dic79—22no—
246C2×Dic79—22no—
247C2×Dic79—22no—
248C2×Dic79—22no—
249C2×Dic79—22no—
250C2×Dic79—22no—
251C2×Dic79—22no—
252C2×Dic79—22no—
253C2×Dic79—22no—
254C2×Dic79—41no—
255C2×Dic79—41no—
256C2×Dic79—41no—
257C2×Dic79—41no—
258C2×Dic79—41no—
259C2×Dic79—41no—
260C2×Dic79—41no—
261C2×Dic79—41no—
262C2×Dic79—41no—
263C2×Dic79—41no—
264C2×Dic79—41no—
265C2×Dic79—41no—
266C2×Dic79C4⋊C814yes—
267C8×C79—42no—
268C8×C79—42no—
269C79⋊C8—42no—
270C79⋊C8—42no—
271C22×C79#38211yescharacteristic
272C22×C79#38511yescharacteristic
273C22×C79#38711yescharacteristic
274C22×C79#38711yescharacteristic
275C22×C79#38811yescharacteristic
276C22×C79#38811yescharacteristic
277C22×C79#38911yescharacteristic
278C22×C79C2×C4⋊C811yescharacteristic
279C22×C79#42311yescharacteristic
280C22×C79#42411yescharacteristic
281C22×C79#42411yescharacteristic
282C22×C79#43111yescharacteristic
283C22×C79#43111yescharacteristic
284C22×C79#43211yescharacteristic
285C22×C79#43211yescharacteristic
286C22×C79#43311yescharacteristic
287C22×C79#43311yescharacteristic
288C22×C79#43311yescharacteristic
289C22×C79#43311yescharacteristic
290C22×C79C8×D411yescharacteristic
291C22×C79C8×D411yescharacteristic
292C22×C79C8×D411yescharacteristic
293C22×C79#43511yescharacteristic
294C22×C79#43511yescharacteristic
295C22×C79#43511yescharacteristic
296C22×C79#43511yescharacteristic
297C22×C79#43511yescharacteristic
298C22×C79#43511yescharacteristic
299C22×C79#43611yescharacteristic
300C22×C79#43611yescharacteristic
301C22×C79#43611yescharacteristic
302C22×C79C8×Q811yescharacteristic
303C22×C79#44611yescharacteristic
304C22×C79#44611yescharacteristic
305C22×C79#44611yescharacteristic
306C4×C79—42no—
307C4×C79—42no—
308C4×C79#39311yescharacteristic
309C4×C79#39411yescharacteristic
310C4×C79#39711yescharacteristic
311C4×C79#39811yescharacteristic
312C4×C79#39811yescharacteristic
313C4×C79#40011yescharacteristic
314C4×C79#40011yescharacteristic
315C4×C79#40011yescharacteristic
316Dic79—24no—
317Dic79—42no—
318Dic79—42no—
319Dic79—42no—
320#11255—791nomaximal, Sylow
321C2×C79#144211yescharacteristic
322C2×C79#183111yescharacteristic
323C2×C79#183211yescharacteristic
324C2×C79#185011yescharacteristic
325C2×C79#185111yescharacteristic
326C2×C79#191611yescharacteristic
327C2×C79#191611yescharacteristic
328C2×C79#191711yescharacteristic
329C2×C79#191711yescharacteristic
330C2×C79#192311yescharacteristic
331C2×C79#192311yescharacteristic
332C2×C79#192411yescharacteristic
333C2×C79#192411yescharacteristic
334C2×C79#193911yescharacteristic
335C2×C79#194011yescharacteristic
336C22×C4⋊C8—791no—
337C2×#336—791no—
338C2×#336—791no—
339C2×#336—791no—
340C2×#336—791no—
341C2×#336D7911yescharacteristic
342C4×#95—791no—
343C79#1125511yescharacteristic, complemented, Sylow
344C23×C8—791no—
345C23×C8—791no—
346C23×C8C2×D7911yescharacteristic
347C23×C8C2×D7911yescharacteristic
348C22×C42—791no—
349C22×C42—791no—
350C22×C42C2×D7911yescharacteristic
351C2×C4⋊C8—1582no—
352C2×C4⋊C8—1582no—
353C2×C4⋊C8—1582no—
354C2×#95—791no—
355C2×#95—791no—
356C2×#95—791no—
357C2×#95—791no—
358#336—22no—
359#336—1582no—
360#336—1582no—
361#336—1582no—
362#336—1582no—
363C23×C4—791no—
364C23×C4—791no—
365C23×C4—791no—
366C23×C4—791no—
367C23×C4C4×D7911yescharacteristic
368C23×C4C4×D7911yescharacteristic
369C23×C4C22×D7911yescharacteristic
370C22×C8—21no—
371C22×C8—21no—
372C22×C8—21no—
373C22×C8—21no—
374C22×C8—21no—
375C22×C8—21no—
376C22×C8—21no—
377C22×C8—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C22×C8—21no—
382C22×C8—792no—
383C22×C8—792no—
384C22×C8—1581no—
385C22×C8—1581no—
386C22×C8—1581no—
387C22×C8—1581no—
388C22×C8—1581no—
389C22×C8—1581no—
390C22×C8—1581no—
391C22×C8—1581no—
392C22×C8—1581no—
393C22×C8—1581no—
394C22×C8—1581no—
395C22×C8—1581no—
396C22×C8Dic15812yes—
397C22×C8C22⋊D7912yes—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—792no—
405C2×C42—792no—
406C2×C42—1581no—
407C2×C42—1581no—
408C2×C42—1581no—
409C2×C42—1581no—
410C2×C42—1581no—
411C2×C42—1581no—
412C2×C42—1581no—
413C2×C42—1581no—
414C2×C42—1581no—
415C2×C42—1581no—
416C4⋊C8—1588no—
417#95—794no—
418#95—1582no—
419#95—1582no—
420#95—1582no—
421C24C2×C4×D7911yescharacteristic
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—792no—
435C22×C4—792no—
436C22×C4—792no—
437C22×C4—792no—
438C22×C4—792no—
439C22×C4—792no—
440C22×C4—1581no—
441C22×C4—1581no—
442C22×C4—1581no—
443C22×C4—1581no—
444C22×C4—1581no—
445C22×C4—1581no—
446C22×C4—1581no—
447C22×C4—1581no—
448C22×C4—1581no—
449C22×C4—1581no—
450C22×C4—1581no—
451C22×C4—1581no—
452C22×C4—1581no—
453C22×C4—1581no—
454C22×C4—1581no—
455C22×C4—1581no—
456C22×C4—1581no—
457C22×C4—1581no—
458C22×C4—1581no—
459C22×C4—1581no—
460C22×C4—1581no—
461C22×C4—1581no—
462C22×C4C8×D7912yes—
463C22×C4#1192960712yes—
464C22×C4D4×D7911yescharacteristic
465C22×C4D4×D7911yescharacteristic
466C22×C4D4×D7911yescharacteristic
467C22×C4C2×C22⋊D7911yescharacteristic
468C22×C4Q8×D7911yescharacteristic
469C22×C4C2×Dic15811yescharacteristic
470C22×C4#1192962311yescharacteristic
471C22×C4#1192962311yescharacteristic
472C22×C4#1192962311yescharacteristic
473C22×C4#1192962411yescharacteristic
474C22×C4#1192962411yescharacteristic
475C22×C4#1192962411yescharacteristic
476C22×C4#1192962411yescharacteristic
477C22×C4#1192962511yescharacteristic
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—22no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—3161no—
493C2×C8—3161no—
494C2×C8—3161no—
495C2×C8—3161no—
496C2×C8—3161no—
497C2×C8—3161no—
498C2×C8—3161no—
499C2×C8—3161no—
500C2×C8—1582no—
501C2×C8—1582no—
502C2×C8—1582no—
503C2×C8—1582no—
504C2×C8—1582no—
505C2×C8—1582no—
506C42—41no—
507C42—41no—
508C42—41no—
509C42—41no—
510C42—3161no—
511C42—3161no—
512C42—3161no—
513C42—3161no—
514C42—1582no—
515C42—1582no—
516C42—1582no—
517C42—1582no—
518C23C4⋊C4×D7911yescharacteristic
519C23#1457911711yescharacteristic
520C23#1457911811yescharacteristic
521C23(C22⋊D79)⋊C411yescharacteristic
522C23C4×C22⋊D7911yescharacteristic
523C23#1457912311yescharacteristic
524C23C4×Dic15811yescharacteristic
525C23C2×C8×D7911yescharacteristic
526C23M16×D7911yescharacteristic
527C23M16×D7911yescharacteristic
528C23C2×#1192960711yescharacteristic
529C23#1457916711yescharacteristic
530C23#1457916711yescharacteristic
531C23#1457916911yescharacteristic
532C23#1457916911yescharacteristic
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—41no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—3161no—
548C2×C4—3161no—
549C2×C4—3161no—
550C2×C4—3161no—
551C2×C4—3161no—
552C2×C4—3161no—
553C2×C4—3161no—
554C2×C4—3161no—
555C2×C4—3161no—
556C2×C4—3161no—
557C2×C4—3161no—
558C2×C4—3161no—
559C2×C4—794no—
560C2×C4—1582no—
561C2×C4—1582no—
562C2×C4—1582no—
563C2×C4—1582no—
564C2×C4—1582no—
565C2×C4—1582no—
566C2×C4—1582no—
567C2×C4—1582no—
568C2×C4—1582no—
569C2×C4—1582no—
570C2×C4—1582no—
571C2×C4—1582no—
572C2×C4—1582no—
573C2×C4—1582no—
574C2×C4—1582no—
575C2×C4#1457912911yescharacteristic
576C2×C4#1457913311yescharacteristic
577C2×C4#1457913411yescharacteristic
578C2×C4#1457913411yescharacteristic
579C2×C4#1457913711yescharacteristic
580C2×C4#1457913811yescharacteristic
581C2×C4#1457913811yescharacteristic
582C2×C4#1457913911yescharacteristic
583C2×C4#1457914011yescharacteristic
584C2×C4#1457914311yescharacteristic
585C2×C4#1457914311yescharacteristic
586C2×C4#1457914411yescharacteristic
587C2×C4#1457914611yescharacteristic
588C2×C4#1457914611yescharacteristic
589C2×C4#1457914711yescharacteristic
590C2×C4#1457914711yescharacteristic
591C2×C4#1457914711yescharacteristic
592C2×C4#1457914811yescharacteristic
593C2×C4#1457915111yescharacteristic
594C2×C4#1457915111yescharacteristic
595C2×C4#1457915111yescharacteristic
596C2×C4#1457915211yescharacteristic
597C2×C4#1457915311yescharacteristic
598C2×C4#1457915411yescharacteristic
599C2×C4#1457915511yescharacteristic
600C2×C4#1457915611yescharacteristic
601C2×C4#1457915611yescharacteristic
602C2×C4#1457916011yescharacteristic
603C8—42no—
604C8—42no—
605C8—3162no—
606C8—3162no—
607C22#1909842711yescharacteristic
608C22#1909843411yescharacteristic
609C22#1909844611yescharacteristic
610C22#1909844711yescharacteristic
611C22#1909845211yescharacteristic
612C22#1909845711yescharacteristic
613C22#1909846011yescharacteristic
614C22C4⋊C8×D7911yescharacteristic
615C22#1909858511yescharacteristic
616C22#1909858811yescharacteristic
617C22#1909858811yescharacteristic
618C22#1909861311yescharacteristic
619C22#1909861411yescharacteristic
620C22#1909861711yescharacteristic
621C22#1909861811yescharacteristic
622C22#1909862111yescharacteristic
623C22#1909862111yescharacteristic
624C22#1909862211yescharacteristic
625C22#1909862511yescharacteristic
626C22(C22⋊D79)⋊C811yescharacteristic
627C22C8×C22⋊D7911yescharacteristic
628C22#1909862811yescharacteristic
629C22#1909863111yescharacteristic
630C22#1909863211yescharacteristic
631C22#1909863311yescharacteristic
632C22#1909863311yescharacteristic
633C22#1909863411yescharacteristic
634C22#1909863711yescharacteristic
635C22#1909863811yescharacteristic
636C22#1909863911yescharacteristic
637C22#1909864011yescharacteristic
638C22C8×Dic15811yescharacteristic
639C22#1909869111yescharacteristic
640C22#1909869111yescharacteristic
641C22#1909869311yescharacteristic
642C4—42no—
643C4—42no—
644C4—3162no—
645C4—3162no—
646C4—3162no—
647C4—1584no—
648C4#1909847511yescharacteristic
649C4#1909847811yescharacteristic
650C4#1909849211yescharacteristic
651C4#1909849611yescharacteristic
652C4#1909849711yescharacteristic
653C4#1909850111yescharacteristic
654C4#1909850411yescharacteristic
655C4#1909850511yescharacteristic
656C2#2376165811yescharacteristic
657C2#2376351511yescharacteristic
658C2#2376351811yescharacteristic
659C2#2376357611yescharacteristic
660C2#2376358111yescharacteristic
661C2#2376395611yescharacteristic
662C2#2376395711yescharacteristic
663C2#2376396311yescharacteristic
664C2#2376396411yescharacteristic
665C2#2376400411yescharacteristic
666C2#2376400911yescharacteristic
667C2#2376401111yescharacteristic
668C2#2376401611yescharacteristic
669C2#2376411711yescharacteristic
670C2#2376412211yescharacteristic
subgroupG/H
center, FrattiniC23×C4C22×D79
commutatorC23×C79C22×C8
FittingC2×#336×C79C2
socle, prime radicalC24×C79C22×C4
cosocleC23×C4×C79C23
hypercenterC2×#336D79
hypocenterC79#11255
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
61. C79⋊#95C8semidirect
343. C79#11255semidirect

Maximal subgroups

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

subgroupindex
C22×Dic79⋊C82
C2×#190983182
C2×#190983172
C4×C79⋊#952
C2×#336×C792
#1125579