Finite Group Databasebeta

← #35197326

Subgroups — #35197326

Order 20224.

7106 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777473C214yesmaximal, complemented
2#23777467C214yesmaximal, complemented
3#23777448C214yesmaximal, complemented
4#23777445C214yesmaximal, complemented
5#23777377C214yesmaximal, complemented
6#23777374C214yesmaximal, complemented
7#23777345C214yesmaximal, complemented
8#23777339C214yesmaximal, complemented
9#23777265C211yesmaximal, characteristic, complemented
10#23777232C214yesmaximal, complemented
11#23777201C211yesmaximal, characteristic, complemented
12#23777162C211yesmaximal, characteristic, complemented
13#23777103C212yesmaximal, complemented
14#23777092C214yesmaximal, complemented
15#23777043C212yesmaximal, complemented
16#23776824C212yesmaximal, complemented
17#23776810C214yesmaximal, complemented
18#23776792C211yesmaximal, characteristic, complemented
19#23776789C211yesmaximal, characteristic, complemented
20#539×D79C214yesmaximal, complemented
21#23776606C212yesmaximal, complemented
22C2×#19099045C211yesmaximal, characteristic, complemented
23C79×#3507C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yes—
25C22×#11929625C2211yescharacteristic
26#19099298C2212yescomplemented
27#19099291C2212yescomplemented
28#19099286C2212yescomplemented
29#19099285C2214yescomplemented
30#19099274C2212yescomplemented
31#19099273C2214yescomplemented
32#19099273C2214yescomplemented
33#19099273C2212yescomplemented
34#19099273C2212yescomplemented
35#19099269C2214yescomplemented
36#19099268C2214yescomplemented
37#19099266C2218yescomplemented
38#19099264C2218yescomplemented
39#19099263C2214yescomplemented
40#19099258C2218yescomplemented
41#19099257C2214yescomplemented
42#19099254C2214yescomplemented
43#19099254C2218yescomplemented
44#19099254C2214yescomplemented
45#19099252C2218yescomplemented
46#19099252C2214yescomplemented
47#19099249C2218yescomplemented
48#19099245C2218yescomplemented
49#19099245C2218yescomplemented
50#19099243C2218yescomplemented
51#19099242C2218yescomplemented
52#19099240C2218yescomplemented
53#19099238C2218yescomplemented
54#19099238C2218yescomplemented
55#19099237C2218yescomplemented
56Q8×D316C2212yescomplemented
57#19099228C2212yescomplemented
58#19099223C2218yescomplemented
59#19099218C2214yescomplemented
60#19099218C2212yescomplemented
61#19099216C2214yescomplemented
62#19099216C2214yescomplemented
63#19099216C2212yescomplemented
64#19099215C2214yescomplemented
65#19099215C2214yescomplemented
66#19099214C2214yescomplemented
67#19099209C2214yescomplemented
68#19099206C2214yescomplemented
69#19099206C2214yescomplemented
70#19099206C2214yescomplemented
71#19099205C2218yescomplemented
72#19099204C2214yescomplemented
73#19099204C2214yescomplemented
74D4×D316C2212yescomplemented
75#19099198C2212yescomplemented
76#19099191C2212yescomplemented
77#19099188C2214yescomplemented
78#19099187C2212yescomplemented
79#19099187C2212yescomplemented
80#19099186C2214yescomplemented
81#19099182C2212yescomplemented
82#19099182C2212yescomplemented
83#19099182C2214yescomplemented
84#19099176C2212yescomplemented
85#19099174C2212yescomplemented
86#19099174C2214yescomplemented
87#19099173C2214yescomplemented
88#19099169C2212yescomplemented
89#19099167C2212yescomplemented
90#19099162C2212yescomplemented
91#19099162C2212yescomplemented
92#19099161C2218yescomplemented
93#19099161C2218yescomplemented
94#19099160C2214yescomplemented
95#19099159C2218yescomplemented
96#19099158C2212yescomplemented
97#19099158C2212yescomplemented
98#19099157C2218yescomplemented
99#19099156C2218yescomplemented
100#19099155C2218yescomplemented
101#19099154C2218yescomplemented
102#19099154C2218yescomplemented
103#19099153C2212yescomplemented
104#19099153C2212yescomplemented
105#19099152C2218yescomplemented
106#19099150C2212yescomplemented
107#19099150C2212yescomplemented
108#19099147C2218yescomplemented
109#19099141C2212yes—
110#19099137C2212yescomplemented
111#19099124C2218yescomplemented
112#19099121C2214yes—
113#19099120C2211yescharacteristic, complemented
114#19099118C2214yescomplemented
115#19099115C2214yescomplemented
116#19099113C2211yescharacteristic
117#19099100C2214yescomplemented
118#19099100C2214yescomplemented
119#19099100C2218yescomplemented
120#19099099C2214yescomplemented
121#19099097C2214yescomplemented
122#19099093C2214yescomplemented
123#19099093C2214yescomplemented
124#19099092C2214yescomplemented
125#19099091C2218yescomplemented
126#19099090C2218yescomplemented
127#126×D79C2218yescomplemented
128#125×D79C2218yescomplemented
129#19099075C2212yescomplemented
130#19099075C2218yescomplemented
131#19099072C2218yescomplemented
132#19099072C2218yescomplemented
133#19099070C2212yescomplemented
134#123×D79C2218yescomplemented
135#123×D79C2218yescomplemented
136C22⋊Q8×D79C2218yescomplemented
137C22⋊Q8×D79C2214yescomplemented
138#121×D79C2214yes—
139#19099045C2214yescomplemented
140#19099045C2214yescomplemented
141#19099045C2214yescomplemented
142#19099045C2214yescomplemented
143#19099045C2214yescomplemented
144#19099044C2212yescomplemented
145#19099044C2214yescomplemented
146#19099037C2212yes—
147#19099037C2214yescomplemented
148#19099035C2214yescomplemented
149#19099035C2218yescomplemented
150#41×Dic79C2212yescomplemented
151C4×#11929625C2214yescomplemented
152#19099031C2212yescomplemented
153#19099031C2214yescomplemented
154C2×Q8×Dic79C2211yescharacteristic, complemented
155C2×C4×D316C2211yescharacteristic
156C2×C4×D316C2212yescomplemented
157C2×#14579123C2211yescharacteristic
158C2×#14579123C2214yescomplemented
159C2×#14579123C2212yescomplemented
160C4×D4×D79C2218yescomplemented
161C4×D4×D79C2214yescomplemented
162C2×#14579118C2211yescharacteristic, complemented
163C2×#14579118C2212yescomplemented
164C2×C4⋊C4×D79C2211yescharacteristic, complemented
165C2×C4⋊C4×D79C2212yescomplemented
166#559×C79C2212yescomplemented
167#557×C79C2212yescomplemented
168#556×C79C2214yescomplemented
169#556×C79C2212yescomplemented
170#554×C79C2212yescomplemented
171#552×C79C2214yescomplemented
172#539×C79C2214yescomplemented
173#536×C79C2212yescomplemented
174#533×C79C2211yescharacteristic, complemented
175#532×C79C2211yescharacteristic
176#529×C79C2214yescomplemented
177#520×C79C2212yescomplemented
178C2×C4×Q8×C79C2211yescharacteristic, complemented
179#14579207—216no—
180C2×#11929625—28no—
181C2×#11929625C2314yes—
182C2×#11929625C2314yes—
183C2×#11929625C2314yes—
184C2×#11929624C2312yes—
185C2×#11929624C2314yes—
186C2×#11929624C2318yes—
187C2×Q8×D79C2314yes—
188C22×D316C2314yes—
189C22×D316C2312yes—
190C22×D316C2311yescharacteristic
191C2×D4×D79C2314yes—
192C2×D4×D79C2318yes—
193C2×D4×D79C2314yes—
194C22×C4×D79C2312yes—
195C22×C4×D79C2311yescharacteristic
196C22×C4×D79C2312yes—
197C22×C4×D79C2312yes—
198C22×C4×D79C2312yes—
199C22×C4×D79C2318yes—
200#14579161C2311yescharacteristic
201#14579161C2311yescharacteristic
202#14579161C2311yescharacteristic
203#14579161C2314yes—
204#14579160C2314yes—
205#14579159C2314yes—
206#14579158C2311yescharacteristic
207#14579156C2314yes—
208#14579156C2314yes—
209#14579156C2318yes—
210#14579156C2314yes—
211#14579156C2314yes—
212#14579156C2314yes—
213#14579156C2318yes—
214#14579156C2314yes—
215#14579156C2318yes—
216#14579155C2318yes—
217#14579155C2318yes—
218#14579154C2318yes—
219#14579154C2318yes—
220#14579154C2314yes—
221#14579154C2314yes—
222#14579154C2318yes—
223#14579153C2314yes—
224#14579153C2318yes—
225#14579153C2312yes—
226#14579153C2314yes—
227#14579152C2318yes—
228#14579152C2314yes—
229#14579152C2314yes—
230#14579152C2314yes—
231#14579151C2318yes—
232#14579151C2318yes—
233#14579151C2318yes—
234#14579151C2314yes—
235#14579151C2314yes—
236#14579151C2318yes—
237#14579150C2314yes—
238#14579150C2314yes—
239#14579150C2314yes—
240#14579149C2314yes—
241#14579149C2312yes—
242#14579147C2314yes—
243#14579147C2314yes—
244#14579147C2318yes—
245#14579146C2318yes—
246#14579146C2314yes—
247#14579146C2314yes—
248#14579146C2318yes—
249#14579146C2318yes—
250#14579146C2318yes—
251#14579146C2318yes—
252#14579146C2314yes—
253#14579146C2318yes—
254#14579146C2318yes—
255#14579146C2314yes—
256#14579145C2318yes—
257#14579145C2314yes—
258#14579145C2314yes—
259#14579145C2314yes—
260#14579144C2318yes—
261#14579144C2318yes—
262#14579143C2318yes—
263#14579143C2318yes—
264#14579143C2318yes—
265#14579143C2318yes—
266#14579143C2318yes—
267#14579143C2318yes—
268#14579142C2314yes—
269#14579142C2314yes—
270#14579142C2314yes—
271#14579141C2314yes—
272#14579141C2318yes—
273#14579141C2318yes—
274#14579141C2312yes—
275#14579141C2312yes—
276#14579140C2314yes—
277#14579140C2312yes—
278#14579140C2312yes—
279#14579140C2318yes—
280#14579139C2318yes—
281#14579139C2318yes—
282#14579139C2318yes—
283#14579139C2318yes—
284#14579139C2318yes—
285#14579139C2318yes—
286#14579138C2314yes—
287#14579138C2318yes—
288#14579138C2318yes—
289#14579138C2314yes—
290#14579137C2314yes—
291#14579137C2314yes—
292#14579137C2314yes—
293#14579137C2318yes—
294#14579137C2314yes—
295#14579137C2314yes—
296#14579137C2314yes—
297#14579137C2312yes—
298#14579137C2312yes—
299#14579136C2314yes—
300#14579136C2318yes—
301#14579136C2314yes—
302#14579136C2314yes—
303#14579136C2318yes—
304#14579136C2312yes—
305#14579136C2312yes—
306#14579135C2314yes—
307#14579135C2312yes—
308#14579135C2312yes—
309#14579134C2318yes—
310#14579134C2318yes—
311#14579134C2318yes—
312#14579134C2318yes—
313#14579133C2318yes—
314#14579133C2314yes—
315#14579133C2314yes—
316#14579132C2314yes—
317#14579132C2314yes—
318#14579132C2312yes—
319#14579132C2312yes—
320#14579131C2318yes—
321#14579131C2318yes—
322#14579131C2318yes—
323#14579131C2314yes—
324#14579129C2318yes—
325#14579129C2314yes—
326Q8×Dic79C2314yes—
327Q8×Dic79C2312yes—
328Q8×Dic79C2314yes—
329Q8×Dic79C2312yes—
330C4×Dic158C2312yes—
331C4×Dic158C2314yes—
332C4×Dic158C2312yes—
333#14579126C2312yes—
334#14579126C2312yes—
335#14579126C2318yes—
336#14579126C2314yes—
337C4×D316C2318yes—
338C4×D316C2318yes—
339C4×D316C2318yes—
340C4×D316C2312yes—
341C4×D316C2312yes—
342C4×D316C2312yes—
343C4×D316C2312yes—
344C4×D316C2312yes—
345C4×D316C2314yes—
346C4×D316C2314yes—
347C4×D316C2314yes—
348C4×D316C2314yes—
349C4×D316C2312yes—
350C4×D316C2318yes—
351C4×D316C2314yes—
352C4×D316C2318yes—
353D4×Dic79C2314yes—
354D4×Dic79C2314yes—
355D4×Dic79C2312yes—
356D4×Dic79C2312yes—
357#14579123C2318yes—
358#14579123C2312yes—
359#14579123C2312yes—
360#14579123C2314yes—
361#14579123C2314yes—
362#14579123C2318yes—
363#14579123C2314yes—
364#14579123C2318yes—
365#14579123C2318yes—
366#14579123C2314yes—
367#14579123C2314yes—
368C4×C22⋊D79C2318yes—
369C4×C22⋊D79C2318yes—
370C4×C22⋊D79C2314yes—
371C4×C22⋊D79C2314yes—
372C4×C22⋊D79C2318yes—
373C4×C22⋊D79C2318yes—
374(C22⋊D79)⋊C4C2318yes—
375(C22⋊D79)⋊C4C2314yes—
376(C22⋊D79)⋊C4C2314yes—
377(C22⋊D79)⋊C4C2318yes—
378(C22⋊D79)⋊C4C2318yes—
379#14579120C2312yes—
380#14579120C2314yes—
381#14579119C2318yes—
382#14579119C2318yes—
383#14579119C2314yes—
384#14579118C2312yes—
385#14579118C2312yes—
386#14579118C2314yes—
387#14579118C2312yes—
388#14579118C2312yes—
389#14579118C2318yes—
390#14579118C2318yes—
391#14579118C2318yes—
392#14579118C2318yes—
393#14579118C2318yes—
394#14579117C2318yes—
395C2×C4⋊Dic79C2311yescharacteristic
396C2×C4⋊Dic79C2312yes—
397C2×Dic79⋊C4C2312yes—
398C2×Dic79⋊C4C2311yescharacteristic
399C2×Dic79⋊C4C2311yescharacteristic
400C4⋊C4×D79C2318yes—
401C4⋊C4×D79C2318yes—
402C4⋊C4×D79C2318yes—
403C4⋊C4×D79C2314yes—
404C4⋊C4×D79C2318yes—
405C4⋊C4×D79C2318yes—
406C4⋊C4×D79C2314yes—
407C4⋊C4×D79C2314yes—
408C4⋊C4×D79C2314yes—
409C4⋊C4×D79C2318yes—
410C4⋊C4×D79C2314yes—
411C2×(C2×D79)⋊C4C2311yescharacteristic
412C2×(C2×D79)⋊C4C2311yescharacteristic
413C2×(C2×D79)⋊C4C2312yes—
414C2×(C2×D79)⋊C4C2318yes—
415C2×(C2×D79)⋊C4C2312yes—
416C22⋊C4×D79C2318yes—
417C22⋊C4×D79C2318yes—
418C22⋊C4×D79C2318yes—
419C22⋊C4×D79C2318yes—
420C22⋊C4×D79C2318yes—
421C22⋊C4×D79C2318yes—
422C2×C4×Dic79C2311yescharacteristic
423C2×C4×Dic79C2312yes—
424C2×C4×Dic79C2314yes—
425C42×D79C2318yes—
426C42×D79C2314yes—
427C2×#41×C79C2312yes—
428C22×Q8×C79C2311yescharacteristic
429C4⋊Q8×C79C2311yescharacteristic
430C4⋊Q8×C79C2314yes—
431C4⋊Q8×C79C2311yescharacteristic
432C4⋊Q8×C79C2311yescharacteristic
433#127×C79C2311yescharacteristic
434#126×C79C2318yes—
435#126×C79C2318yes—
436#125×C79C2314yes—
437#125×C79C2318yes—
438#125×C79C2312yes—
439#124×C79C2314yes—
440#124×C79C2312yes—
441#124×C79C2314yes—
442#123×C79C2318yes—
443#123×C79C2318yes—
444C22⋊Q8×C79C2312yes—
445C22⋊Q8×C79C2312yes—
446C22⋊Q8×C79C2318yes—
447C22⋊Q8×C79C2314yes—
448C22⋊Q8×C79C2314yes—
449#121×C79C2312yes—
450#121×C79C2312yes—
451C4×Q8×C79C2312yes—
452C4×Q8×C79C2312yes—
453C4×Q8×C79C2312yes—
454C4×Q8×C79C2312yes—
455C4×Q8×C79C2312yes—
456C4×Q8×C79C2314yes—
457C4×Q8×C79C2314yes—
458C4×Q8×C79C2312yes—
459C4×D4×C79C2318yes—
460C4×D4×C79C2312yes—
461C4×D4×C79C2312yes—
462C4×D4×C79C2314yes—
463C4×D4×C79C2314yes—
464#117×C79C2312yes—
465#117×C79C2318yes—
466#117×C79C2314yes—
467C2×C4⋊C4×C79C2312yes—
468C2×C4⋊C4×C79C2314yes—
469C2×C4⋊C4×C79C2311yescharacteristic
470C2×C42×C79C2312yes—
471C2×C42×C79C2311yescharacteristic
472C23×D79C2418yes—
473C23×D79C2411yescharacteristic
474C23×D79C2412yes—
475#11929625—216no—
476#11929625—216no—
477#11929625—216no—
478#11929624—216no—
479#11929624—28no—
480#11929624—88no—
481C2×Dic158C2412yes—
482C2×Dic158C2412yes—
483C2×Dic158C2418yes—
484C2×Dic158C2412yes—
485Q8×D79—84no—
486C2×D316—216no—
487C2×D316—28no—
488C2×D316#4118yescomplemented
489C2×D316C2412yes—
490C2×D316C2418yes—
491C2×D316C2418yes—
492C2×D316C2414yes—
493C2×D316C2412yes—
494C2×D316C2414yes—
495C2×D316C2412yes—
496C2×D316C2412yes—
497C2×D316C2412yes—
498C2×C22⋊D79C2418yes—
499C2×C22⋊D79C2414yes—
500C2×C22⋊D79C2414yes—
501C2×C22⋊D79C2418yes—
502C2×C22⋊D79C2414yes—
503D4×D79—216no—
504D4×D79—232no—
505D4×D79—84no—
506C22×Dic79C2411yescharacteristic
507C22×Dic79C2411yescharacteristic
508C22×Dic79C2414yes—
509C22×Dic79C2411yescharacteristic
510C22×Dic79C2412yes—
511C22×Dic79C2414yes—
512C2×C4×D79—28no—
513C2×C4×D79—24no—
514C2×C4×D79—82no—
515C2×C4×D79—82no—
516C2×C4×D79—82no—
517C2×C4×D79—88no—
518C2×C4×D79C2418yes—
519C2×C4×D79C2414yes—
520C2×C4×D79C2418yes—
521C2×C4×D79C2412yes—
522C2×C4×D79C2412yes—
523C2×C4×D79C2418yes—
524C2×C4×D79C2414yes—
525C2×C4×D79C2418yes—
526C2×C4×D79C2418yes—
527C2×C4×D79C2418yes—
528C2×C4×D79C2414yes—
529C2×C4×D79C2418yes—
530C2×C4×D79C2414yes—
531C2×C4×D79C2414yes—
532C4⋊Dic79C2412yes—
533C4⋊Dic79C2412yes—
534C4⋊Dic79C2418yes—
535C4⋊Dic79C2412yes—
536C4⋊Dic79C2414yes—
537C4⋊Dic79C2412yes—
538C4⋊Dic79C2414yes—
539C4⋊Dic79C2414yes—
540C4⋊Dic79C2412yes—
541C4⋊Dic79C2418yes—
542C4⋊Dic79C2412yes—
543C4⋊Dic79C2414yes—
544C4⋊Dic79C2412yes—
545C4⋊Dic79C2412yes—
546Dic79⋊C4C2412yes—
547Dic79⋊C4C2418yes—
548Dic79⋊C4C2412yes—
549Dic79⋊C4C2414yes—
550Dic79⋊C4C2418yes—
551Dic79⋊C4C2414yes—
552Dic79⋊C4C2414yes—
553Dic79⋊C4C2414yes—
554Dic79⋊C4C2418yes—
555Dic79⋊C4C2418yes—
556Dic79⋊C4C2418yes—
557Dic79⋊C4C2418yes—
558Dic79⋊C4C2418yes—
559Dic79⋊C4C2412yes—
560Dic79⋊C4C2412yes—
561Dic79⋊C4C2414yes—
562Dic79⋊C4C2414yes—
563C22⋊Dic79C2414yes—
564C22⋊Dic79C2414yes—
565C22⋊Dic79C2414yes—
566C22⋊Dic79C2414yes—
567C22⋊Dic79C2414yes—
568C22⋊Dic79C2418yes—
569(C2×D79)⋊C4C2418yes—
570(C2×D79)⋊C4C2414yes—
571(C2×D79)⋊C4C2414yes—
572(C2×D79)⋊C4C2414yes—
573(C2×D79)⋊C4C2414yes—
574(C2×D79)⋊C4C2418yes—
575(C2×D79)⋊C4C2418yes—
576(C2×D79)⋊C4C2418yes—
577(C2×D79)⋊C4C2418yes—
578(C2×D79)⋊C4C2418yes—
579(C2×D79)⋊C4C2418yes—
580(C2×D79)⋊C4C2414yes—
581(C2×D79)⋊C4C2412yes—
582(C2×D79)⋊C4C2412yes—
583(C2×D79)⋊C4C2414yes—
584(C2×D79)⋊C4C2414yes—
585(C2×D79)⋊C4C2412yes—
586(C2×D79)⋊C4C2412yes—
587(C2×D79)⋊C4C2414yes—
588(C2×D79)⋊C4C2414yes—
589(C2×D79)⋊C4C2414yes—
590(C2×D79)⋊C4C2414yes—
591(C2×D79)⋊C4C2414yes—
592C4×Dic79C2414yes—
593C4×Dic79C2412yes—
594C4×Dic79C2414yes—
595C4×Dic79C2414yes—
596C4×Dic79C2418yes—
597C4×Dic79C2412yes—
598C4×Dic79C2418yes—
599C4×Dic79C2414yes—
600C4×Dic79C2414yes—
601#41×C79—28no—
602C2×Q8×C79—24no—
603C2×Q8×C79C2412yes—
604C2×Q8×C79C2412yes—
605C2×Q8×C79C2412yes—
606C2×Q8×C79C2412yes—
607C2×Q8×C79C2412yes—
608C2×D4×C79C2414yes—
609C2×D4×C79C2412yes—
610C2×D4×C79C2412yes—
611C2×D4×C79C2412yes—
612C22×C4×C79C2414yes—
613C22×C4×C79C2412yes—
614C22×C4×C79C2418yes—
615C22×C4×C79C2411yescharacteristic
616C22×C4×C79C2412yes—
617C22×C4×C79C2411yescharacteristic
618C22×C4×C79C2411yescharacteristic
619C4⋊C4×C79C2412yes—
620C4⋊C4×C79C2412yes—
621C4⋊C4×C79C2412yes—
622C4⋊C4×C79C2418yes—
623C4⋊C4×C79C2414yes—
624C4⋊C4×C79C2414yes—
625C4⋊C4×C79C2412yes—
626C4⋊C4×C79C2414yes—
627C4⋊C4×C79C2418yes—
628C4⋊C4×C79C2412yes—
629C4⋊C4×C79C2412yes—
630C4⋊C4×C79C2412yes—
631C4⋊C4×C79C2414yes—
632C4⋊C4×C79C2418yes—
633C4⋊C4×C79C2412yes—
634C22⋊C4×C79C2414yes—
635C22⋊C4×C79C2414yes—
636C22⋊C4×C79C2418yes—
637C22⋊C4×C79C2418yes—
638C22⋊C4×C79C2414yes—
639C22⋊C4×C79C2418yes—
640C42×C79C2414yes—
641C42×C79C2411yescharacteristic
642C42×C79C2411yescharacteristic
643C42×C79C2414yes—
644C42×C79C2411yescharacteristic
645C42×C79C2411yescharacteristic
646C42×C79C2418yes—
647C42×C79C2414yes—
648C23×C79C2514yes—
649C23×C79C2511yescharacteristic
650C22×D79—22no—
651C22×D79—216no—
652C22×D79—42no—
653C22×D79—41no—
654C22×D79—42no—
655C22×D79—41no—
656C22×D79—48no—
657C22×D79—48no—
658C22×D79C2×#4118yes—
659C22×D79C2514yes—
660C22×D79C2512yes—
661C22×D79C2514yes—
662Q8×C79—24no—
663Q8×C79—24no—
664Q8×C79—24no—
665Q8×C79—42no—
666Q8×C79—42no—
667D4×C79—28no—
668D4×C79—24no—
669D4×C79—42no—
670D4×C79—42no—
671C2×C4×C79—24no—
672C2×C4×C79—28no—
673C2×C4×C79—42no—
674C2×C4×C79—41no—
675C2×C4×C79—48no—
676C2×C4×C79—41no—
677C2×C4×C79C2×#4114yes—
678C2×C4×C79C2514yes—
679C2×C4×C79C2514yes—
680C2×C4×C79C2514yes—
681C2×C4×C79C2514yes—
682C2×C4×C79C2514yes—
683C2×C4×C79C2511yescharacteristic
684C2×C4×C79C2511yescharacteristic
685C2×C4×C79C2511yescharacteristic
686C2×C4×C79C2511yescharacteristic
687C2×C4×C79C2511yescharacteristic
688C2×C4×C79C2511yescharacteristic
689C22⋊D79—28no—
690C22⋊D79—216no—
691C22⋊D79—48no—
692C22⋊D79—44no—
693C22⋊D79—44no—
694C2×Dic79—22no—
695C2×Dic79—42no—
696C2×Dic79—44no—
697C2×Dic79—41no—
698C2×Dic79—44no—
699C2×Dic79—41no—
700C2×Dic79C2512yes—
701C2×Dic79C2512yes—
702C2×Dic79C2514yes—
703C2×Dic79C2514yes—
704C2×Dic79C2514yes—
705C2×Dic79C2514yes—
706C2×Dic79C2512yes—
707D316—216no—
708D316—216no—
709D316—24no—
710D316—42no—
711D316—42no—
712D316—44no—
713D316—44no—
714D316C2×#4118yes—
715D316C2×#4118yes—
716C4×D79—216no—
717C4×D79—216no—
718C4×D79—24no—
719C4×D79—24no—
720C4×D79—28no—
721C4×D79—48no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725C4×D79—48no—
726C4×D79—48no—
727C4×D79—48no—
728C4×D79—48no—
729C4×D79—44no—
730Dic158—24no—
731Dic158—42no—
732Dic158—48no—
733Dic158—42no—
734C22×C79—21no—
735C22×C79—21no—
736C22×C79—24no—
737C22×C79—24no—
738C22×C79—24no—
739C22×C79C22×#4112yes—
740C22×C79C2611yescharacteristic
741C2×D79—24no—
742C2×D79—24no—
743C2×D79—24no—
744C2×D79—22no—
745C2×D79—24no—
746C2×D79—22no—
747C2×D79—22no—
748C2×D79—24no—
749C2×D79—48no—
750C2×D79—44no—
751C2×D79—816no—
752C2×D79C22×#4118yes—
753C4×C79—24no—
754C4×C79—24no—
755C4×C79—24no—
756C4×C79—24no—
757C4×C79—21no—
758C4×C79—21no—
759C4×C79—21no—
760C4×C79—21no—
761C4×C79—24no—
762C4×C79C22×#4112yes—
763C4×C79C22×#4112yes—
764Dic79—24no—
765Dic79—22no—
766Dic79—24no—
767Dic79—24no—
768Dic79—22no—
769Dic79—24no—
770Dic79—22no—
771#62847—791nomaximal, Sylow
772C2×C79—22no—
773C2×C79—44no—
774C2×C79C23×#4111yescharacteristic
775C2×C79H(7,𝔽2)11yescharacteristic
776C2×C792−1+611yescharacteristic
777D79—28no—
778D79—42no—
779D79—44no—
780#3521—794no—
781#3521—794no—
782#3520—794no—
783#3520—794no—
784#3515—794no—
785#3515—794no—
786#3513—794no—
787#3513—794no—
788#3507—791no—
789#3507D7911yescharacteristic, complemented
790#3505—794no—
791#3501—791no—
792#3496—791no—
793#3492—792no—
794#3491—794no—
795#3485—792no—
796#3461—792no—
797#3459—794no—
798#3455—791no—
799#3455—791no—
800C2×#539—794no—
801C4×H(5,𝔽2)—792no—
802C2×#520—791no—
803C79#6284711yescharacteristic, complemented, Sylow
804C2×H(5,𝔽2)—792no—
805C22×#41—791no—
806#559—792no—
807#559C2×D7912yescomplemented
808#557—792no—
809#557C2×D7912yescomplemented
810#556—794no—
811#556—792no—
812#556C2×D7914yescomplemented
813#556C2×D7912yescomplemented
814#554—792no—
815#554—794no—
816#554—794no—
817#554—794no—
818#554—792no—
819#554—792no—
820#554—794no—
821#554C2×D7912yescomplemented
822#553—798no—
823#553—798no—
824#553—798no—
825#553—794no—
826#553—794no—
827#552—798no—
828#552—798no—
829#552—798no—
830#552—798no—
831#552—794no—
832#552—794no—
833#552—798no—
834#552—794no—
835#552C2×D7914yescomplemented
836#551—798no—
837#551—798no—
838#551—798no—
839#551—798no—
840#551—798no—
841#551—798no—
842D4×Q8—792no—
843D4×Q8—792no—
844#548—798no—
845#547—794no—
846#547—794no—
847#547—792no—
848#547—794no—
849#547—794no—
850#547—794no—
851#547—792no—
852#547—794no—
853#546—794no—
854#546—794no—
855#546—794no—
856#546—798no—
857#546—794no—
858#546—794no—
859#546—794no—
860D42—792no—
861D42—792no—
862#544—792no—
863#543—794no—
864#542—792no—
865#542—792no—
866#542—792no—
867#542—792no—
868#542—794no—
869#542—794no—
870#541—792no—
871#541—794no—
872#541—792no—
873#541—794no—
874#540—792no—
875#540—792no—
876#539—798no—
877#539—798no—
878#539—798no—
879#539—798no—
880#539—798no—
881#539—798no—
882#539—798no—
883#539—792no—
884#539—792no—
885#539—792no—
886#539—792no—
887#539—798no—
888#539—794no—
889#539C2×D7914yescomplemented
890#538—798no—
891#538—798no—
892#538—792no—
893#538—792no—
894#538—792no—
895#538—792no—
896#537—792no—
897#536—792no—
898#536C2×D7912yescomplemented
899#534—798no—
900#534—794no—
901#533—794no—
902#533—794no—
903#533—791no—
904#533C2×D7911yescharacteristic, complemented
905#532—791no—
906#532C2×D7911yescharacteristic
907#529—794no—
908#529—798no—
909#529—794no—
910#529—794no—
911#529—794no—
912#529—798no—
913#529—794no—
914#529—794no—
915#529—798no—
916#529—794no—
917#529C2×D7914yescomplemented
918C2×#126—798no—
919C2×#125—798no—
920#525—792no—
921#525—798no—
922#525—798no—
923#525—792no—
924#525—798no—
925C2×#123—798no—
926C2×#123—798no—
927C2×C22⋊Q8—794no—
928C2×C22⋊Q8—798no—
929C2×#121—794no—
930#520—794no—
931#520—794no—
932#520—794no—
933#520—794no—
934#520—794no—
935#520—792no—
936#520—794no—
937#520C2×D7912yescomplemented
938#518—798no—
939#518—794no—
940#518—792no—
941#518—794no—
942C4×#41—792no—
943C4×#41—794no—
944C4×#41—792no—
945C4×#41—794no—
946C2×C4×Q8—791no—
947C2×C4×Q8C2×D7911yescharacteristic, complemented
948C2×C4×D4—798no—
949C2×C4×D4—794no—
950C2×C4×D4—791no—
951C2×C4×D4—792no—
952C2×C4×D4—794no—
953C2×C4×D4—792no—
954C2×C4×D4—791no—
955C2×#117—791no—
956C2×#117—792no—
957C22×C4⋊C4—792no—
958C22×C4⋊C4—791no—
959H(5,𝔽2)—15816no—
960C2×#41—794no—
961C2×#41—794no—
962C2×#41—794no—
963C2×#41—798no—
964C2×#41—792no—
965C2×#41—794no—
966C2×#41—1588no—
967C2×#41C22×D7912yes—
968C22×Q8—794no—
969C22×Q8C22×D7911yescharacteristic
970C22×D4—794no—
971C22×D4—798no—
972C22×D4—794no—
973C22×D4—791no—
974C22×D4—792no—
975C22×D4—794no—
976C23×C4—792no—
977C23×C4—792no—
978C23×C4—792no—
979C23×C4—798no—
980C23×C4—792no—
981C23×C4—791no—
982C4⋊Q8—794no—
983C4⋊Q8—794no—
984C4⋊Q8—791no—
985C4⋊Q8—791no—
986C4⋊Q8—791no—
987C4⋊Q8—794no—
988C4⋊Q8C22×D7911yescharacteristic
989C4⋊Q8C22×D7914yes—
990C4⋊Q8C22×D7911yescharacteristic
991C4⋊Q8C22×D7911yescharacteristic
992#127—791no—
993#127C22×D7911yescharacteristic
994#126—794no—
995#126—798no—
996#126—798no—
997#126—794no—
998#126—794no—
999#126—794no—
1000#126—794no—
1001#126—794no—
1002#126—798no—
1003#126—794no—
1004#126—798no—
1005#126—798no—
1006#126—794no—
1007#126—798no—
1008#126—798no—
1009#126—798no—
1010#126C22×D7918yes—
1011#126C22×D7918yes—
1012#125—794no—
1013#125—794no—
1014#125—798no—
1015#125—798no—
1016#125—798no—
1017#125—798no—
1018#125—794no—
1019#125—794no—
1020#125—798no—
1021#125—794no—
1022#125—798no—
1023#125—794no—
1024#125—794no—
1025#125—792no—
1026#125C22×D7918yes—
1027#125C22×D7914yes—
1028#125C22×D7912yes—
1029#124—794no—
1030#124—794no—
1031#124—794no—
1032#124—794no—
1033#124—794no—
1034#124—798no—
1035#124—794no—
1036#124—792no—
1037#124C22×D7914yes—
1038#124C22×D7914yes—
1039#124C22×D7912yes—
1040#123—794no—
1041#123—794no—
1042#123—794no—
1043#123—798no—
1044#123—798no—
1045#123—794no—
1046#123—798no—
1047#123—798no—
1048#123—798no—
1049#123—794no—
1050#123—798no—
1051#123—798no—
1052#123—798no—
1053#123—798no—
1054#123—794no—
1055#123—794no—
1056#123—794no—
1057#123—798no—
1058#123—798no—
1059#123—798no—
1060#123—798no—
1061#123—798no—
1062#123—794no—
1063#123—798no—
1064#123—798no—
1065#123—794no—
1066#123C22×D7918yes—
1067#123C22×D7918yes—
1068C22⋊Q8—794no—
1069C22⋊Q8—794no—
1070C22⋊Q8—792no—
1071C22⋊Q8—792no—
1072C22⋊Q8—794no—
1073C22⋊Q8—798no—
1074C22⋊Q8—794no—
1075C22⋊Q8—794no—
1076C22⋊Q8—794no—
1077C22⋊Q8—792no—
1078C22⋊Q8—798no—
1079C22⋊Q8—792no—
1080C22⋊Q8—794no—
1081C22⋊Q8—798no—
1082C22⋊Q8—798no—
1083C22⋊Q8—798no—
1084C22⋊Q8—798no—
1085C22⋊Q8—794no—
1086C22⋊Q8—798no—
1087C22⋊Q8—798no—
1088C22⋊Q8—798no—
1089C22⋊Q8—792no—
1090C22⋊Q8—792no—
1091C22⋊Q8—798no—
1092C22⋊Q8—794no—
1093C22⋊Q8—798no—
1094C22⋊Q8—798no—
1095C22⋊Q8—794no—
1096C22⋊Q8C22×D7912yes—
1097C22⋊Q8C22×D7918yes—
1098C22⋊Q8C22×D7914yes—
1099C22⋊Q8C22×D7912yes—
1100C22⋊Q8C22×D7914yes—
1101#121—798no—
1102#121—794no—
1103#121—794no—
1104#121—792no—
1105#121—792no—
1106#121—794no—
1107#121—794no—
1108#121—792no—
1109#121—792no—
1110#121—794no—
1111#121—794no—
1112#121—794no—
1113#121—798no—
1114#121—792no—
1115#121—792no—
1116#121—798no—
1117#121—794no—
1118#121—798no—
1119#121—798no—
1120#121—798no—
1121#121—798no—
1122#121C22×D7912yes—
1123#121C22×D7912yes—
1124#120—794no—
1125#120—798no—
1126#120—794no—
1127#120—798no—
1128#120—798no—
1129#120—798no—
1130C4×Q8—794no—
1131C4×Q8—794no—
1132C4×Q8—792no—
1133C4×Q8—792no—
1134C4×Q8—792no—
1135C4×Q8—792no—
1136C4×Q8—794no—
1137C4×Q8—798no—
1138C4×Q8—794no—
1139C4×Q8—792no—
1140C4×Q8—792no—
1141C4×Q8C22×D7912yes—
1142C4×Q8C22×D7912yes—
1143C4×Q8C22×D7912yes—
1144C4×Q8C22×D7912yes—
1145C4×Q8C22×D7914yes—
1146C4×Q8C22×D7914yes—
1147C4×Q8C22×D7912yes—
1148C4×Q8C22×D7912yes—
1149C4×D4—794no—
1150C4×D4—792no—
1151C4×D4—794no—
1152C4×D4—792no—
1153C4×D4—798no—
1154C4×D4—798no—
1155C4×D4—798no—
1156C4×D4—798no—
1157C4×D4—794no—
1158C4×D4—794no—
1159C4×D4—794no—
1160C4×D4—794no—
1161C4×D4—798no—
1162C4×D4—792no—
1163C4×D4—794no—
1164C4×D4—794no—
1165C4×D4—798no—
1166C4×D4—798no—
1167C4×D4—798no—
1168C4×D4—792no—
1169C4×D4—794no—
1170C4×D4—798no—
1171C4×D4—794no—
1172C4×D4—794no—
1173C4×D4—798no—
1174C4×D4—798no—
1175C4×D4—798no—
1176C4×D4—794no—
1177C4×D4—798no—
1178C4×D4—798no—
1179C4×D4—792no—
1180C4×D4—792no—
1181C4×D4—792no—
1182C4×D4—792no—
1183C4×D4—794no—
1184C4×D4—798no—
1185C4×D4—794no—
1186C4×D4—798no—
1187C4×D4—794no—
1188C4×D4—794no—
1189C4×D4—792no—
1190C4×D4—792no—
1191C4×D4C22×D7918yes—
1192C4×D4C22×D7914yes—
1193C4×D4C22×D7914yes—
1194C4×D4C22×D7912yes—
1195C4×D4C22×D7912yes—
1196#117—792no—
1197#117—794no—
1198#117—798no—
1199#117—794no—
1200#117—798no—
1201#117—798no—
1202#117—792no—
1203#117—792no—
1204#117—792no—
1205#117—792no—
1206#117—798no—
1207#117—798no—
1208#117—794no—
1209#117—798no—
1210#117—798no—
1211#117—798no—
1212#117C22×D7912yes—
1213#117C22×D7914yes—
1214#117C22×D7918yes—
1215C2×C4⋊C4—791no—
1216C2×C4⋊C4—792no—
1217C2×C4⋊C4—791no—
1218C2×C4⋊C4—792no—
1219C2×C4⋊C4—791no—
1220C2×C4⋊C4—798no—
1221C2×C4⋊C4—798no—
1222C2×C4⋊C4—794no—
1223C2×C4⋊C4—794no—
1224C2×C4⋊C4—798no—
1225C2×C4⋊C4—794no—
1226C2×C4⋊C4—794no—
1227C2×C4⋊C4—798no—
1228C2×C4⋊C4—798no—
1229C2×C4⋊C4—794no—
1230C2×C4⋊C4—798no—
1231C2×C4⋊C4C22×D7911yescharacteristic
1232C2×C4⋊C4C22×D7912yes—
1233C2×C4⋊C4C22×D7914yes—
1234C2×C22⋊C4—792no—
1235C2×C22⋊C4—792no—
1236C2×C22⋊C4—791no—
1237C2×C22⋊C4—791no—
1238C2×C22⋊C4—798no—
1239C2×C22⋊C4—798no—
1240C2×C22⋊C4—798no—
1241C2×C22⋊C4—798no—
1242C2×C22⋊C4—798no—
1243C2×C22⋊C4—798no—
1244C2×C22⋊C4—798no—
1245C2×C42—791no—
1246C2×C42—792no—
1247C2×C42—794no—
1248C2×C42—798no—
1249C2×C42—794no—
1250C2×C42C22×D7912yes—
1251C2×C42C22×D7911yescharacteristic
1252C24—792no—
1253C24—798no—
1254C24—791no—
1255#41—28no—
1256#41—6328no—
1257#41—15816no—
1258#41—15816no—
1259#41—15816no—
1260#41—15816no—
1261#41—1588no—
1262C2×Q8—24no—
1263C2×Q8—792no—
1264C2×Q8—792no—
1265C2×Q8—798no—
1266C2×Q8—792no—
1267C2×Q8—6324no—
1268C2×Q8C23×D7912yes—
1269C2×Q8C23×D7912yes—
1270C2×Q8C23×D7912yes—
1271C2×Q8C23×D7912yes—
1272C2×Q8C23×D7912yes—
1273C2×D4—794no—
1274C2×D4—794no—
1275C2×D4—798no—
1276C2×D4—798no—
1277C2×D4—794no—
1278C2×D4—798no—
1279C2×D4—792no—
1280C2×D4—794no—
1281C2×D4—794no—
1282C2×D4—792no—
1283C2×D4—792no—
1284C2×D4—792no—
1285C2×D4—798no—
1286C2×D4—798no—
1287C2×D4—792no—
1288C2×D4—6324no—
1289C2×D4—15816no—
1290C2×D4—1588no—
1291C2×D4—15816no—
1292C2×D4—15832no—
1293C2×D4C23×D7914yes—
1294C2×D4C23×D7912yes—
1295C2×D4C23×D7912yes—
1296C2×D4C23×D7912yes—
1297C22×C4—791no—
1298C22×C4—794no—
1299C22×C4—791no—
1300C22×C4—792no—
1301C22×C4—794no—
1302C22×C4—798no—
1303C22×C4—794no—
1304C22×C4—798no—
1305C22×C4—794no—
1306C22×C4—798no—
1307C22×C4—794no—
1308C22×C4—798no—
1309C22×C4—794no—
1310C22×C4—798no—
1311C22×C4—791no—
1312C22×C4—798no—
1313C22×C4—794no—
1314C22×C4—798no—
1315C22×C4—792no—
1316C22×C4—792no—
1317C22×C4—6322no—
1318C22×C4—6322no—
1319C22×C4—6322no—
1320C22×C4—6328no—
1321C22×C4—1588no—
1322C22×C4—1584no—
1323C22×C4C23×D7912yes—
1324C22×C4C23×D7914yes—
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7912yes—
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7918yes—
1329C22×C4C23×D7911yescharacteristic
1330C4⋊C4—792no—
1331C4⋊C4—798no—
1332C4⋊C4—792no—
1333C4⋊C4—794no—
1334C4⋊C4—798no—
1335C4⋊C4—794no—
1336C4⋊C4—794no—
1337C4⋊C4—794no—
1338C4⋊C4—792no—
1339C4⋊C4—792no—
1340C4⋊C4—798no—
1341C4⋊C4—798no—
1342C4⋊C4—798no—
1343C4⋊C4—798no—
1344C4⋊C4—798no—
1345C4⋊C4—794no—
1346C4⋊C4—794no—
1347C4⋊C4—792no—
1348C4⋊C4—792no—
1349C4⋊C4—798no—
1350C4⋊C4—792no—
1351C4⋊C4—794no—
1352C4⋊C4—792no—
1353C4⋊C4—794no—
1354C4⋊C4—794no—
1355C4⋊C4—792no—
1356C4⋊C4—798no—
1357C4⋊C4—792no—
1358C4⋊C4—794no—
1359C4⋊C4—792no—
1360C4⋊C4—792no—
1361C4⋊C4C23×D7912yes—
1362C4⋊C4C23×D7912yes—
1363C4⋊C4C23×D7914yes—
1364C4⋊C4C23×D7914yes—
1365C4⋊C4C23×D7912yes—
1366C4⋊C4C23×D7914yes—
1367C4⋊C4C23×D7912yes—
1368C4⋊C4C23×D7918yes—
1369C4⋊C4C23×D7918yes—
1370C4⋊C4C23×D7918yes—
1371C4⋊C4C23×D7912yes—
1372C4⋊C4C23×D7912yes—
1373C4⋊C4C23×D7914yes—
1374C4⋊C4C23×D7912yes—
1375C4⋊C4C23×D7912yes—
1376C22⋊C4—794no—
1377C22⋊C4—794no—
1378C22⋊C4—794no—
1379C22⋊C4—794no—
1380C22⋊C4—794no—
1381C22⋊C4—798no—
1382C22⋊C4—798no—
1383C22⋊C4—798no—
1384C22⋊C4—798no—
1385C22⋊C4—794no—
1386C22⋊C4—798no—
1387C22⋊C4—794no—
1388C22⋊C4—794no—
1389C22⋊C4—794no—
1390C22⋊C4—794no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4—792no—
1394C22⋊C4—792no—
1395C22⋊C4—792no—
1396C22⋊C4—792no—
1397C22⋊C4—798no—
1398C22⋊C4—798no—
1399C22⋊C4—798no—
1400C22⋊C4—794no—
1401C22⋊C4—794no—
1402C22⋊C4—794no—
1403C22⋊C4—794no—
1404C22⋊C4—794no—
1405C22⋊C4C23×D7914yes—
1406C22⋊C4C23×D7918yes—
1407C22⋊C4C23×D7914yes—
1408C22⋊C4C23×D7918yes—
1409C22⋊C4C23×D7918yes—
1410C22⋊C4C23×D7914yes—
1411C42—792no—
1412C42—792no—
1413C42—794no—
1414C42—794no—
1415C42—798no—
1416C42—794no—
1417C42—794no—
1418C42—798no—
1419C42—794no—
1420C42C23×D7918yes—
1421C42C23×D7914yes—
1422C42C23×D7914yes—
1423C42C23×D7914yes—
1424C42C23×D7911yescharacteristic
1425C42C23×D7911yescharacteristic
1426C42C23×D7911yescharacteristic
1427C42C23×D7911yescharacteristic
1428C23—3161no—
1429C23—3162no—
1430C23—3161no—
1431C23—3162no—
1432C23—3168no—
1433C23—3168no—
1434C23—798no—
1435C23—794no—
1436C23—794no—
1437C23—792no—
1438C23—15816no—
1439C23—1582no—
1440C23C24×D7914yes—
1441C23C24×D7911yescharacteristic
1442Q8—24no—
1443Q8—24no—
1444Q8—24no—
1445Q8—42no—
1446Q8—42no—
1447Q8—3162no—
1448Q8—3168no—
1449Q8—3162no—
1450Q8—1584no—
1451D4—28no—
1452D4—24no—
1453D4—42no—
1454D4—42no—
1455D4—3162no—
1456D4—3164no—
1457D4—3162no—
1458D4—3164no—
1459D4—3164no—
1460D4—3168no—
1461D4—3164no—
1462D4—798no—
1463D4—798no—
1464D4—15816no—
1465D4—15816no—
1466D4—15816no—
1467D4—1588no—
1468D4—1584no—
1469C2×C4—24no—
1470C2×C4—28no—
1471C2×C4—42no—
1472C2×C4—41no—
1473C2×C4—48no—
1474C2×C4—41no—
1475C2×C4—3168no—
1476C2×C4—3164no—
1477C2×C4—3164no—
1478C2×C4—3168no—
1479C2×C4—3164no—
1480C2×C4—3168no—
1481C2×C4—3168no—
1482C2×C4—3164no—
1483C2×C4—3168no—
1484C2×C4—3161no—
1485C2×C4—3164no—
1486C2×C4—3162no—
1487C2×C4—3161no—
1488C2×C4—3164no—
1489C2×C4—792no—
1490C2×C4—792no—
1491C2×C4—794no—
1492C2×C4—794no—
1493C2×C4—794no—
1494C2×C4—794no—
1495C2×C4—792no—
1496C2×C4—15816no—
1497C2×C4—15816no—
1498C2×C4—1582no—
1499C2×C4—1584no—
1500C2×C4—1584no—
1501C2×C4—1588no—
1502C2×C4#41×D7914yes—
1503C2×C4C24×D7914yes—
1504C2×C4C24×D7914yes—
1505C2×C4C24×D7914yes—
1506C2×C4C24×D7914yes—
1507C2×C4C24×D7914yes—
1508C2×C4C24×D7911yescharacteristic
1509C2×C4C24×D7911yescharacteristic
1510C2×C4C24×D7911yescharacteristic
1511C2×C4C24×D7911yescharacteristic
1512C2×C4C24×D7911yescharacteristic
1513C2×C4C24×D7911yescharacteristic
1514C22—21no—
1515C22—21no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—3164no—
1520C22—3168no—
1521C22—798no—
1522C22—63216no—
1523C22—1582no—
1524C22—1584no—
1525C22—1582no—
1526C22—1584no—
1527C22—1584no—
1528C22—1582no—
1529C22—1584no—
1530C22—1584no—
1531C22C2×#41×D7912yes—
1532C22C25×D7911yescharacteristic
1533C4—24no—
1534C4—24no—
1535C4—24no—
1536C4—24no—
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—24no—
1542C4—1582no—
1543C4—1584no—
1544C4—1582no—
1545C4—1584no—
1546C4—1584no—
1547C4—1582no—
1548C4—1584no—
1549C4C2×#41×D7912yes—
1550C4C2×#41×D7912yes—
1551C2—22no—
1552C2—44no—
1553C2—3162no—
1554C2—3164no—
1555C2—1588no—
1556C2C22×#41×D7911yescharacteristic
1557C2#2377821111yescharacteristic
1558C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3507C2
hypercenter#3507D79
hypocenterC79#62847
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #23777473C2semidirect
2. #23777467C2semidirect
3. #23777448C2semidirect
4. #23777445C2semidirect
5. #23777377C2semidirect
6. #23777374C2semidirect
7. #23777345C2semidirect
8. #23777339C2semidirect
9. #23777265C2semidirect
10. #23777232C2semidirect
11. #23777201C2semidirect
12. #23777162C2semidirect
13. #23777103C2semidirect
14. #23777092C2semidirect
15. #23777043C2semidirect
16. #23776824C2semidirect
17. #23776810C2semidirect
18. #23776792C2semidirect
19. #23776789C2semidirect
20. #539×D79C2semidirect
21. #23776606C2semidirect
22. C2×#19099045C2semidirect
23. C79×#3507C2semidirect
26. #19099298C22semidirect
27. #19099291C22semidirect
28. #19099286C22semidirect
29. #19099285C22semidirect
30. #19099274C22semidirect
31. #19099273C22semidirect
32. #19099273C22semidirect
33. #19099273C22semidirect
34. #19099273C22semidirect
35. #19099269C22semidirect
36. #19099268C22semidirect
37. #19099266C22semidirect
38. #19099264C22semidirect
39. #19099263C22semidirect
40. #19099258C22semidirect
41. #19099257C22semidirect
42. #19099254C22semidirect
43. #19099254C22semidirect
44. #19099254C22semidirect
45. #19099252C22semidirect
46. #19099252C22semidirect
47. #19099249C22semidirect
48. #19099245C22semidirect
49. #19099245C22semidirect
50. #19099243C22semidirect
51. #19099242C22semidirect
52. #19099240C22semidirect
53. #19099238C22semidirect
54. #19099238C22semidirect
55. #19099237C22semidirect
56. Q8×D316C22semidirect
57. #19099228C22semidirect
58. #19099223C22semidirect
59. #19099218C22semidirect
60. #19099218C22semidirect
61. #19099216C22semidirect
62. #19099216C22semidirect
63. #19099216C22semidirect
64. #19099215C22semidirect
65. #19099215C22semidirect
66. #19099214C22semidirect
67. #19099209C22semidirect
68. #19099206C22semidirect
69. #19099206C22semidirect
70. #19099206C22semidirect
71. #19099205C22semidirect
72. #19099204C22semidirect
73. #19099204C22semidirect
74. D4×D316C22semidirect
75. #19099198C22semidirect
76. #19099191C22semidirect
77. #19099188C22semidirect
78. #19099187C22semidirect
79. #19099187C22semidirect
80. #19099186C22semidirect
81. #19099182C22semidirect
82. #19099182C22semidirect
83. #19099182C22semidirect
84. #19099176C22semidirect
85. #19099174C22semidirect
86. #19099174C22semidirect
87. #19099173C22semidirect
88. #19099169C22semidirect
89. #19099167C22semidirect
90. #19099162C22semidirect
91. #19099162C22semidirect
92. #19099161C22semidirect
93. #19099161C22semidirect
94. #19099160C22semidirect
95. #19099159C22semidirect
96. #19099158C22semidirect
97. #19099158C22semidirect
98. #19099157C22semidirect
99. #19099156C22semidirect
100. #19099155C22semidirect
101. #19099154C22semidirect
102. #19099154C22semidirect
103. #19099153C22semidirect
104. #19099153C22semidirect
105. #19099152C22semidirect
106. #19099150C22semidirect
107. #19099150C22semidirect
108. #19099147C22semidirect
110. #19099137C22semidirect
111. #19099124C22semidirect
113. #19099120C22semidirect
114. #19099118C22semidirect
115. #19099115C22semidirect
117. #19099100C22semidirect
118. #19099100C22semidirect
119. #19099100C22semidirect
120. #19099099C22semidirect
121. #19099097C22semidirect
122. #19099093C22semidirect
123. #19099093C22semidirect
124. #19099092C22semidirect
125. #19099091C22semidirect
126. #19099090C22semidirect
127. #126×D79C22semidirect
128. #125×D79C22semidirect
129. #19099075C22semidirect
130. #19099075C22semidirect
131. #19099072C22semidirect
132. #19099072C22semidirect
133. #19099070C22semidirect
134. #123×D79C22semidirect
135. #123×D79C22semidirect
136. C22⋊Q8×D79C22semidirect
137. C22⋊Q8×D79C22semidirect
139. #19099045C22semidirect
140. #19099045C22semidirect
141. #19099045C22semidirect
142. #19099045C22semidirect
143. #19099045C22semidirect
144. #19099044C22semidirect
145. #19099044C22semidirect
147. #19099037C22semidirect
148. #19099035C22semidirect
149. #19099035C22semidirect
150. #41×Dic79C22semidirect
151. C4×#11929625C22semidirect
152. #19099031C22semidirect
153. #19099031C22semidirect
154. C2×Q8×Dic79C22semidirect
156. C2×C4×D316C22semidirect
158. C2×#14579123C22semidirect
159. C2×#14579123C22semidirect
160. C4×D4×D79C22semidirect
161. C4×D4×D79C22semidirect
162. C2×#14579118C22semidirect
163. C2×#14579118C22semidirect
164. C2×C4⋊C4×D79C22semidirect
165. C2×C4⋊C4×D79C22semidirect
166. #559×C79C22semidirect
167. #557×C79C22semidirect
168. #556×C79C22semidirect
169. #556×C79C22semidirect
170. #554×C79C22semidirect
171. #552×C79C22semidirect
172. #539×C79C22semidirect
173. #536×C79C22semidirect
174. #533×C79C22semidirect
176. #529×C79C22semidirect
177. #520×C79C22semidirect
178. C2×C4×Q8×C79C22semidirect
488. C2×D316#41semidirect
789. #3507D79semidirect
803. C79#62847semidirect
807. #559C2×D79semidirect
809. #557C2×D79semidirect
812. #556C2×D79semidirect
813. #556C2×D79semidirect
821. #554C2×D79semidirect
835. #552C2×D79semidirect
889. #539C2×D79semidirect
898. #536C2×D79semidirect
904. #533C2×D79semidirect
917. #529C2×D79semidirect
937. #520C2×D79semidirect
947. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774732
#237774672
#237774482
#237774452
#237773772
#237773742
#237773452
#237773392
#237772652
#237772322
#237772012
#237771622
#237771032
#237770922
#237770432
#237768242
#237768102
#237767922
#237767892
#539×D792
#237766062
C2×#190990452
C79×#35072
#6284779