Finite Group Databasebeta

← #35183918

Subgroups — #35183918

Order 20224.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777366C211yesmaximal, characteristic, complemented
2#23777004C211yesmaximal, characteristic, complemented
3#23776276C211yesmaximal, characteristic, complemented
4#23776267C211yesmaximal, characteristic, complemented
5#23776097C211yesmaximal, characteristic, complemented
6#23776061C211yesmaximal, characteristic, complemented
7#23775804C211yesmaximal, characteristic, complemented
8#23775800C211yesmaximal, characteristic, complemented
9#23775787C211yesmaximal, characteristic, complemented
10#23775784C211yesmaximal, characteristic, complemented
11#23775777C211yesmaximal, characteristic, complemented
12#23775755C211yesmaximal, characteristic, complemented
13#23775255C211yesmaximal, characteristic, complemented
14#23775254C211yesmaximal, characteristic, complemented
15#23775240C211yesmaximal, characteristic, complemented
16#23775239C211yesmaximal, characteristic, complemented
17#23775217C211yesmaximal, characteristic, complemented
18#23775206C211yesmaximal, characteristic, complemented
19#23774749C211yesmaximal, characteristic, complemented
20#23774747C211yesmaximal, characteristic, complemented
21#23774723C211yesmaximal, characteristic, complemented
22#23774570C211yesmaximal, characteristic, complemented
23#23774566C211yesmaximal, characteristic, complemented
24#23774535C211yesmaximal, characteristic, complemented
25#23773446C211yesmaximal, characteristic, complemented
26#23773415C211yesmaximal, characteristic, complemented
27#23773185C211yesmaximal, characteristic, complemented
28C2×#19098863C211yesmaximal, characteristic, complemented
29#478×D79C211yesmaximal, characteristic, complemented
30#23772508C211yesmaximal, characteristic, complemented
31C79×#3105C211yesmaximal, characteristic, complemented
32#19099296C2211yescharacteristic
33#19099289C2211yescharacteristic, complemented
34#19099272C2211yescharacteristic
35#19099272C2211yescharacteristic, complemented
36#19099271C2211yescharacteristic
37#19099268C2211yescharacteristic
38#19099265C2211yescharacteristic, complemented
39#19099263C2211yescharacteristic
40#19099263C2211yescharacteristic, complemented
41#19099262—21no—
42#19099261C2211yescharacteristic
43#19099255C2211yescharacteristic, complemented
44#19099254C2211yescharacteristic, complemented
45#19099252—21no—
46#19099250—21no—
47#19099246—21no—
48#19099242—21no—
49#19099239—21no—
50#19099213C2211yescharacteristic
51#19099211—21no—
52#19099208C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099203—21no—
55D4×C22⋊D79C2211yescharacteristic
56#19099170—21no—
57#19099155—21no—
58#19099154—21no—
59#19099119C2211yescharacteristic, complemented
60#19099110C2211yescharacteristic
61#19099097C2211yescharacteristic
62#19099095C2211yescharacteristic
63#19099093—21no—
64#19099092C2211yescharacteristic, complemented
65#19099092C2211yescharacteristic, complemented
66C2×#14579153C2211yescharacteristic, complemented
67#125×D79C2211yescharacteristic, complemented
68#19099074—21no—
69#19099072—21no—
70#19099042—21no—
71C4×#11929624C2211yescharacteristic
72C4×#11929623C2211yescharacteristic
73C2×C4×C22⋊D79—21no—
74C4×D4×D79C2211yescharacteristic
75#19098967C2211yescharacteristic, complemented
76#19098965C2211yescharacteristic, complemented
77#19098965C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098918C2211yescharacteristic, complemented
82#19098918C2211yescharacteristic, complemented
83#19098916C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic
86#19098908C2211yescharacteristic
87#19098903C2211yescharacteristic, complemented
88#19098900C2211yescharacteristic, complemented
89#19098899C2211yescharacteristic, complemented
90#19098897C2211yescharacteristic, complemented
91#19098895C2211yescharacteristic, complemented
92#19098894C2211yescharacteristic, complemented
93#19098890C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic
99#19098880C2211yescharacteristic
100#19098880C2211yescharacteristic, complemented
101#19098877C2211yescharacteristic
102#19098875C2211yescharacteristic
103#19098872C2211yescharacteristic, complemented
104#19098871C2211yescharacteristic, complemented
105#19098871C2211yescharacteristic, complemented
106#19098870C2211yescharacteristic, complemented
107#19098867C2211yescharacteristic, complemented
108#19098866C2211yescharacteristic, complemented
109#19098865C2211yescharacteristic
110#19098865C2211yescharacteristic, complemented
111#19098864C2211yescharacteristic, complemented
112#19098864C2211yescharacteristic, complemented
113#19098863C2211yescharacteristic
114#19098863C2211yescharacteristic
115#19098863C2211yescharacteristic
116#19098863C2211yescharacteristic
117#19098863C2211yescharacteristic, complemented
118#19098863C2211yescharacteristic, complemented
119#19098863C2211yescharacteristic, complemented
120#19098863C2211yescharacteristic, complemented
121#19098863C2211yescharacteristic, complemented
122#19098862C2211yescharacteristic, complemented
123#19098861C2211yescharacteristic
124#19098860C2211yescharacteristic, complemented
125#19098857C2211yescharacteristic, complemented
126#19098856C2211yescharacteristic, complemented
127#19098851C2211yescharacteristic
128#19098851C2211yescharacteristic, complemented
129#19098847C2211yescharacteristic, complemented
130#19098841C2211yescharacteristic
131#19098803C2211yescharacteristic, complemented
132#19098802C2211yescharacteristic, complemented
133#19098798C2211yescharacteristic, complemented
134#19098797C2211yescharacteristic
135#19098796C2211yescharacteristic
136#19098796C2211yescharacteristic, complemented
137#19098795C2211yescharacteristic, complemented
138#19098794C2211yescharacteristic
139#19098791C2211yescharacteristic, complemented
140#19098790C2211yescharacteristic, complemented
141#19098789C2211yescharacteristic
142#19098789C2211yescharacteristic, complemented
143#19098785C2211yescharacteristic, complemented
144#19098783C2211yescharacteristic, complemented
145#19098782C2211yescharacteristic, complemented
146#19098778C2211yescharacteristic, complemented
147#19098776C2211yescharacteristic, complemented
148#19098775C2211yescharacteristic, complemented
149#19098761C2211yescharacteristic
150#19098756C2211yescharacteristic
151#19098722C2211yescharacteristic
152#19098712C2211yescharacteristic
153#19098705C2211yescharacteristic
154#19098695C2211yescharacteristic
155C8×Dic158C2211yescharacteristic, complemented
156C8×Dic158C2211yescharacteristic, complemented
157#19098655C2211yescharacteristic, complemented
158#19098654C2211yescharacteristic, complemented
159SD16×Dic79C2211yescharacteristic
160SD16×Dic79C2211yescharacteristic
161#19098648C2211yescharacteristic, complemented
162D8×Dic79C2211yescharacteristic
163D8×Dic79C2211yescharacteristic
164#19098643C2211yescharacteristic, complemented
165C8×D316C2211yescharacteristic, complemented
166C8×D316C2211yescharacteristic, complemented
167(C22⋊D79)⋊C8C2211yescharacteristic
168(C22⋊D79)⋊C8C2211yescharacteristic
169(C22⋊D79)⋊C8C2211yescharacteristic, complemented
170(C22⋊D79)⋊C8C2211yescharacteristic, complemented
171#19098615C2211yescharacteristic, complemented
172#19098615C2211yescharacteristic, complemented
173#19098600C2211yescharacteristic, complemented
174#19098598C2211yescharacteristic, complemented
175C2×#14579094C2211yescharacteristic, complemented
176#107×D79C2211yescharacteristic, complemented
177C2×#14579092C2211yescharacteristic, complemented
178#106×D79C2211yescharacteristic, complemented
179C2×C4⋊(C79⋊C8)C2211yescharacteristic, complemented
180C4⋊C8×D79C2211yescharacteristic, complemented
181C4⋊C8×D79C2211yescharacteristic, complemented
182#19098556C2211yescharacteristic
183#19098556C2211yescharacteristic
184C2×#14579082C2211yescharacteristic
185C2×#14579082C2211yescharacteristic
186#102×D79C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#529×C79C2211yescharacteristic, complemented
189C2×C4×D4×C79C2211yescharacteristic
190#484×C79C2211yescharacteristic, complemented
191#481×C79C2211yescharacteristic, complemented
192#478×C79C2211yescharacteristic
193#478×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic
195#463×C79C2211yescharacteristic, complemented
196#450×C79C2211yescharacteristic
197#447×C79C2211yescharacteristic
198C4×SD16×C79C2211yescharacteristic
199C4×SD16×C79C2211yescharacteristic, complemented
200C4×D8×C79C2211yescharacteristic
201C4×D8×C79C2211yescharacteristic, complemented
202#431×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624D411yescharacteristic
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C22×C22⋊D79—21no—
208C2×D4×D79C2311yescharacteristic
209C22×C4×D79—21no—
210C2×#11929614C2311yescharacteristic
211C2×#11929612C2311yescharacteristic
212C2×#11929611C2311yescharacteristic
213C2×#11929609C2311yescharacteristic
214C22×C79⋊C8C2311yescharacteristic
215C22×C79⋊C8C2311yescharacteristic
216C2×C8×D79C2311yescharacteristic
217C2×C8×D79C2311yescharacteristic
218C2×C8×D79C2311yescharacteristic
219C2×C8×D79C2311yescharacteristic
220#14579160—21no—
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579157C2311yescharacteristic
225#14579156—21no—
226#14579156—21no—
227#14579155—21no—
228#14579155—21no—
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579153—21no—
236#14579153—21no—
237#14579153—21no—
238#14579153C2311yescharacteristic
239#14579153C2311yescharacteristic
240#14579153C2311yescharacteristic
241#14579153C2311yescharacteristic
242#14579153C2311yescharacteristic
243#14579152—21no—
244#14579152—21no—
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579149C2311yescharacteristic
254#14579148C2311yescharacteristic
255#14579147—21no—
256#14579147—21no—
257#14579146—21no—
258#14579146—21no—
259#14579145—21no—
260#14579145—21no—
261#14579145—21no—
262#14579144—21no—
263#14579144—21no—
264#14579144—21no—
265#14579144—21no—
266#14579143—21no—
267#14579143—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579142—21no—
272#14579142—21no—
273#14579141—21no—
274#14579141C2311yescharacteristic
275#14579140—21no—
276#14579140—21no—
277#14579140—21no—
278#14579140C2311yescharacteristic
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579138—21no—
287#14579138—21no—
288#14579137C2311yescharacteristic
289#14579137C2311yescharacteristic
290#14579136C2311yescharacteristic
291#14579135—21no—
292#14579135—21no—
293#14579135C2311yescharacteristic
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579133—21no—
298#14579133—21no—
299#14579133—21no—
300#14579132C2311yescharacteristic
301#14579132C2311yescharacteristic
302#14579132C2311yescharacteristic
303#14579132C2311yescharacteristic
304#14579131—21no—
305#14579130—21no—
306#14579130—21no—
307#14579129—21no—
308Q8×Dic79C2311yescharacteristic
309Q8×Dic79C2311yescharacteristic
310C4×Dic158—21no—
311C4×Dic158D411yescharacteristic
312C4×Dic158C2311yescharacteristic
313C4×Dic158C2311yescharacteristic
314#14579126—21no—
315#14579126—21no—
316#14579126C2311yescharacteristic
317C4×D316D411yescharacteristic
318C4×D316C2311yescharacteristic
319C4×D316C2311yescharacteristic
320D4×Dic79—21no—
321D4×Dic79C2311yescharacteristic
322D4×Dic79C2311yescharacteristic
323D4×Dic79C2311yescharacteristic
324D4×Dic79C2311yescharacteristic
325#14579123C2311yescharacteristic
326C4×C22⋊D79—21no—
327C4×C22⋊D79—21no—
328C4×C22⋊D79—21no—
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79D411yescharacteristic
337C4×C22⋊D79D411yescharacteristic
338C4×C22⋊D79C2311yescharacteristic
339C4×C22⋊D79C2311yescharacteristic
340(C22⋊D79)⋊C4—21no—
341(C22⋊D79)⋊C4—21no—
342(C22⋊D79)⋊C4—21no—
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345#14579120—21no—
346#14579120D411yescharacteristic
347#14579119C2311yescharacteristic
348#14579119C2311yescharacteristic
349#14579119C2311yescharacteristic
350#14579118—21no—
351#14579118—21no—
352#14579118D411yescharacteristic
353#14579118D411yescharacteristic
354#14579117—21no—
355#14579117—21no—
356#14579117—21no—
357#14579117—21no—
358C2×C4⋊Dic79C2311yescharacteristic
359C2×C4⋊Dic79C2311yescharacteristic
360C2×Dic79⋊C4—21no—
361C2×Dic79⋊C4—21no—
362C2×Dic79⋊C4—21no—
363C2×Dic79⋊C4—21no—
364C4⋊C4×D79—21no—
365C4⋊C4×D79—21no—
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
369C2×C22⋊Dic79—21no—
370C2×(C2×D79)⋊C4—21no—
371C22⋊C4×D79—21no—
372C2×C4×Dic79—21no—
373C42×D79C2311yescharacteristic
374C42×D79C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396C4⋊(C79⋊C8)C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431C8×Dic79C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C22×D4×C79C2311yescharacteristic
436C23×C4×C79—21no—
437C2×SD16×C79C2311yescharacteristic
438C2×SD16×C79C2311yescharacteristic
439C2×D8×C79C2311yescharacteristic
440C2×D8×C79C2311yescharacteristic
441#126×C79—21no—
442#125×C79C2311yescharacteristic
443#124×C79C2311yescharacteristic
444#123×C79—21no—
445C22⋊Q8×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447C4×Q8×C79C2311yescharacteristic
448C4×D4×C79—21no—
449C4×D4×C79—21no—
450C4×D4×C79—21no—
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453C4×D4×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456#117×C79—21no—
457C2×C4⋊C4×C79C2311yescharacteristic
458C2×C22⋊C4×C79—21no—
459C2×C42×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C4×C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479#11929624—24no—
480#11929624—82no—
481#11929623—22no—
482#11929623—41no—
483#11929623—44no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2×D411yescharacteristic
488C2×Dic158C2411yescharacteristic
489C2×D316—21no—
490C2×D316C2×D411yescharacteristic
491C2×D316C2411yescharacteristic
492C2×C22⋊D79—21no—
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—44no—
502C2×C22⋊D79C2×D411yescharacteristic
503C2×C22⋊D79C2×D411yescharacteristic
504D4×D79—22no—
505D4×D79—41no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C22×Dic79—21no—
511C22×Dic79—21no—
512C22×Dic79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—82no—
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2×D411yescharacteristic
522C2×C4×D79C2×D411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524C2×C4×D79C2411yescharacteristic
525#11929614—41no—
526#11929612—41no—
527#11929611—41no—
528#11929609—41no—
529C2×C79⋊C8—41no—
530C2×C79⋊C8—41no—
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C8×D79—41no—
536C8×D79—41no—
537C8×D79—41no—
538C8×D79—41no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79C2×D411yescharacteristic
548C4⋊Dic79C2×D411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4C2×D411yescharacteristic
580Dic79⋊C4C2×D411yescharacteristic
581Dic79⋊C4C2×D411yescharacteristic
582Dic79⋊C4C2×D411yescharacteristic
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79C2×D411yescharacteristic
595C22⋊Dic79C2×D411yescharacteristic
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611(C2×D79)⋊C4C2×D411yescharacteristic
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2×D411yescharacteristic
622C4×Dic79C2×D411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C4×Dic79C2411yescharacteristic
625C24×C79—21no—
626C2×Q8×C79C2411yescharacteristic
627C2×D4×C79—22no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—41no—
631C2×D4×C79C2411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C2×D4×C79C2411yescharacteristic
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—21no—
638C22×C4×C79—21no—
639C22×C4×C79—21no—
640C22×C4×C79—82no—
641C22×C4×C79C2×D411yescharacteristic
642C22×C4×C79C2×D411yescharacteristic
643C22×C4×C79C2411yescharacteristic
644SD16×C79—22no—
645SD16×C79—41no—
646D8×C79—22no—
647D8×C79—41no—
648C2×C8×C79C2411yescharacteristic
649C2×C8×C79C2411yescharacteristic
650C2×C8×C79C2411yescharacteristic
651C2×C8×C79C2411yescharacteristic
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79—21no—
655C4⋊C4×C79—21no—
656C4⋊C4×C79—21no—
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C4⋊C4×C79C2411yescharacteristic
660C4⋊C4×C79C2411yescharacteristic
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79—21no—
668C22⋊C4×C79—21no—
669C22⋊C4×C79—21no—
670C42×C79—21no—
671C42×C79C2×D411yescharacteristic
672C42×C79C2×D411yescharacteristic
673C42×C79C2411yescharacteristic
674C42×C79C2411yescharacteristic
675C23×C79—21no—
676C23×C79—21no—
677C23×C79—21no—
678C23×C79—42no—
679C23×C79—42no—
680C23×C79—81no—
681C23×C79C22×D411yescharacteristic
682C22×D79—21no—
683C22×D79—42no—
684C22×D79—42no—
685C22×D79—81no—
686C22×D79C22×D411yescharacteristic
687C22×D79C22×D411yescharacteristic
688Q8×C79—21no—
689Q8×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—21no—
694D4×C79—21no—
695D4×C79—42no—
696D4×C79—42no—
697D4×C792−1+412yes—
698C2×C4×C79—22no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—41no—
707C2×C4×C79—42no—
708C2×C4×C79—42no—
709C2×C4×C79—81no—
710C2×C4×C79—81no—
711C2×C4×C79—81no—
712C2×C4×C79—81no—
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C22×D411yescharacteristic
715C2×C4×C79C22×D411yescharacteristic
716C2×C4×C79C22×D411yescharacteristic
717C2×C4×C79C22×D411yescharacteristic
718C2×C4×C79C2511yescharacteristic
719C22⋊D79—22no—
720C22⋊D79—42no—
721C22⋊D79—42no—
722C22⋊D79—42no—
723C22⋊D79—42no—
724C22⋊D79—42no—
725C22⋊D79—42no—
726C22⋊D79—81no—
727C22⋊D79—81no—
728C22⋊D79—81no—
729C22⋊D79#13514yes—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—42no—
738C2×Dic79—42no—
739C2×Dic79—42no—
740C2×Dic79—42no—
741C2×Dic79—81no—
742C2×Dic79—81no—
743C2×Dic79—81no—
744C2×Dic79C22×D411yescharacteristic
745C2×Dic79C22×D411yescharacteristic
746C2×Dic79C22×D411yescharacteristic
747C2×Dic79C22×D411yescharacteristic
748C2×Dic79C22×D411yescharacteristic
749C2×Dic79C22×D411yescharacteristic
750D316—22no—
751D316—21no—
752D316—21no—
753D316—81no—
754C4×D79—22no—
755C4×D79—21no—
756C4×D79—21no—
757C4×D79—21no—
758C4×D79—21no—
759C4×D79—22no—
760C4×D79—41no—
761C4×D79—41no—
762C4×D79—42no—
763C4×D79—42no—
764C4×D79—81no—
765C4×D79—81no—
766C4×D79—81no—
767Dic158—22no—
768Dic158—21no—
769Dic158—21no—
770Dic158—42no—
771Dic158—81no—
772Dic158—81no—
773C8×C79—21no—
774C8×C79—21no—
775C8×C79—21no—
776C8×C79—21no—
777C79⋊C8—21no—
778C79⋊C8—21no—
779C79⋊C8—21no—
780C79⋊C8—21no—
781C22×C79—21no—
782C22×C79—21no—
783C22×C79—22no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—84no—
793C22×C79C2×#13512yes—
794C22×C79C23×D411yescharacteristic
795C2×D79—21no—
796C2×D79—21no—
797C2×D79—21no—
798C2×D79—21no—
799C2×D79—21no—
800C2×D79—41no—
801C2×D79—41no—
802C2×D79—41no—
803C2×D79—84no—
804C2×D79C2×#13512yes—
805C4×C79—21no—
806C4×C79—21no—
807C4×C79—21no—
808C4×C79—21no—
809C4×C79—21no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79C2×2−1+411yescharacteristic
816C4×C79#58511yescharacteristic
817Dic79—21no—
818Dic79—21no—
819Dic79—21no—
820Dic79—21no—
821Dic79—21no—
822Dic79—41no—
823Dic79—41no—
824Dic79—41no—
825Dic79—41no—
826Dic79—41no—
827Dic79—41no—
828Dic79—41no—
829Dic79C2×#13512yes—
830#62103—791nomaximal, Sylow
831C2×C79—22no—
832C2×C79—42no—
833C2×C79—81no—
834C2×C79—81no—
835C2×C79#348911yescharacteristic
836C2×C79C22×#13511yescharacteristic
837C2×C79#358511yescharacteristic
838D79—22no—
839D79—41no—
840D79—81no—
841#3515—791no—
842#3481—791no—
843#3381—791no—
844#3380—791no—
845#3365—791no—
846#3361—791no—
847#3339—791no—
848#3339—791no—
849#3338—791no—
850#3337—791no—
851#3337—791no—
852#3335—791no—
853#3297—791no—
854#3297—791no—
855#3296—791no—
856#3296—791no—
857#3295—791no—
858#3294—791no—
859#3250—791no—
860#3250—791no—
861#3247—791no—
862#3232—791no—
863#3232—791no—
864#3228—791no—
865#3105—791no—
866#3105D7911yescharacteristic, complemented
867#3102—791no—
868#3076—791no—
869C2×#478—791no—
870C2×#478—791no—
871#2988—791no—
872C79#6210311yescharacteristic, complemented, Sylow
873#559—791no—
874#557—791no—
875#554—791no—
876#554—791no—
877#554—791no—
878#554—791no—
879#553—791no—
880#553—791no—
881#553—791no—
882#553—791no—
883#553—1581no—
884#552—791no—
885#552—791no—
886#552—1581no—
887#552—1581no—
888#552—1581no—
889#551—1581no—
890#551—1581no—
891#547—791no—
892#547—1581no—
893#546—791no—
894#546—791no—
895#546—1581no—
896D42—791no—
897#541—1581no—
898#539—1581no—
899#539—1581no—
900#533—791no—
901#532—791no—
902#529—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#529—1581no—
907#529C2×D7911yescharacteristic, complemented
908C2×#125—791no—
909C2×#125—791no—
910#525—1581no—
911#525—1581no—
912#520—1581no—
913C4×#41—791no—
914C4×#41—791no—
915C2×C4×D4—791no—
916C2×C4×D4—1581no—
917C2×C4×D4C2×D7911yescharacteristic
918#500—791no—
919#499—791no—
920#499—791no—
921#499—791no—
922#499—791no—
923#498—791no—
924#488—791no—
925#488—791no—
926#488—791no—
927#488—791no—
928#486—791no—
929#486—791no—
930#485—791no—
931#484—791no—
932#484—791no—
933#484—791no—
934#484C2×D7911yescharacteristic, complemented
935#483—791no—
936#483—791no—
937#482—791no—
938#482—791no—
939#482—791no—
940#482—791no—
941#482—791no—
942#481—791no—
943#481—791no—
944#481—791no—
945#481C2×D7911yescharacteristic, complemented
946#480—791no—
947#480—791no—
948#479—791no—
949#479—791no—
950#479—791no—
951#479—791no—
952#479—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
957#478—791no—
958#478—791no—
959#478—791no—
960#478—791no—
961#478—791no—
962#478—791no—
963#478—791no—
964#478—791no—
965#478—791no—
966#478—791no—
967#478—791no—
968#478—791no—
969#478—791no—
970#478C2×D7911yescharacteristic
971#478C2×D7911yescharacteristic, complemented
972#477—791no—
973#477—791no—
974#476—791no—
975#476—791no—
976#475—791no—
977#474—791no—
978#467—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#466—791no—
983#466—791no—
984#465—791no—
985#465—791no—
986#465—791no—
987#465—791no—
988#465—791no—
989#465—791no—
990#464—791no—
991#464—791no—
992#464—791no—
993#463—791no—
994#463—791no—
995#463—791no—
996#463C2×D7911yescharacteristic
997#463C2×D7911yescharacteristic, complemented
998#460—791no—
999#459—791no—
1000#452—791no—
1001#450—791no—
1002#450C2×D7911yescharacteristic
1003#449—791no—
1004#447—791no—
1005#447C2×D7911yescharacteristic
1006C8×Q8—791no—
1007C8×Q8—791no—
1008C4×Q16—791no—
1009C4×SD16—791no—
1010C4×SD16—791no—
1011C4×SD16—791no—
1012C4×SD16—791no—
1013C4×SD16C2×D7911yescharacteristic
1014C4×SD16C2×D7911yescharacteristic, complemented
1015C4×D8—791no—
1016C4×D8—791no—
1017C4×D8—791no—
1018C4×D8C2×D7911yescharacteristic
1019C4×D8C2×D7911yescharacteristic, complemented
1020C8×D4—791no—
1021C8×D4—791no—
1022C8×D4—791no—
1023C8×D4—791no—
1024C8×D4—791no—
1025C8×D4—791no—
1026#431—791no—
1027#431—791no—
1028#431C2×D7911yescharacteristic, complemented
1029#427—791no—
1030#427—791no—
1031C2×#107—791no—
1032C2×#107—791no—
1033C2×#106—791no—
1034C2×#106—791no—
1035C2×C4⋊C8—791no—
1036C2×C4⋊C8—791no—
1037C2×C4⋊C8—791no—
1038#416—791no—
1039#416—791no—
1040C2×#102—791no—
1041C2×#102—791no—
1042C2×#102—791no—
1043C2×#102—791no—
1044C2×#41—791no—
1045C2×#41—791no—
1046C2×#41—1581no—
1047C2×#41—1581no—
1048C22×D4—791no—
1049C22×D4—1581no—
1050C22×D4C22×D7911yescharacteristic
1051C23×C4—21no—
1052C23×C4—1581no—
1053C2×Q16—791no—
1054C2×SD16—791no—
1055C2×SD16—791no—
1056C2×SD16C22×D7911yescharacteristic
1057C2×SD16C22×D7911yescharacteristic
1058C2×D8—791no—
1059C2×D8C22×D7911yescharacteristic
1060C2×D8C22×D7911yescharacteristic
1061C22×C8—791no—
1062C22×C8—791no—
1063C22×C8—791no—
1064C22×C8—791no—
1065C22×C8—791no—
1066C22×C8—791no—
1067C4⋊Q8—791no—
1068C4⋊Q8—791no—
1069C4⋊Q8—791no—
1070C4⋊Q8—1581no—
1071#127—791no—
1072#126—21no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#126—1581no—
1082#126—1581no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—791no—
1089#125—791no—
1090#125—791no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125—1581no—
1096#125—1581no—
1097#125—1581no—
1098#125—1581no—
1099#125—1581no—
1100#125—1581no—
1101#125C22×D7911yescharacteristic
1102#124—791no—
1103#124—791no—
1104#124—1581no—
1105#124—1581no—
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—1581no—
1109#123—1581no—
1110#123—1581no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124C22⋊Q8—791no—
1125C22⋊Q8—791no—
1126C22⋊Q8—791no—
1127C22⋊Q8—791no—
1128C22⋊Q8—1581no—
1129C22⋊Q8—1581no—
1130C22⋊Q8—1581no—
1131C22⋊Q8—1581no—
1132C22⋊Q8—1581no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8C22×D7911yescharacteristic
1142#121—791no—
1143#121—791no—
1144#121—791no—
1145#121—791no—
1146#121—791no—
1147#121—791no—
1148#121—1581no—
1149#121—1581no—
1150#121—1581no—
1151#121—1581no—
1152#121—1581no—
1153#121—1581no—
1154#121—1581no—
1155#121—1581no—
1156#121C22×D7911yescharacteristic
1157#120—1581no—
1158#120—1581no—
1159#120—1581no—
1160#120—1581no—
1161C4×Q8—791no—
1162C4×Q8—791no—
1163C4×Q8—791no—
1164C4×Q8—791no—
1165C4×Q8—791no—
1166C4×Q8—791no—
1167C4×Q8—1581no—
1168C4×Q8—1581no—
1169C4×Q8—1581no—
1170C4×Q8C22×D7911yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—791no—
1175C4×D4—791no—
1176C4×D4—791no—
1177C4×D4—791no—
1178C4×D4—791no—
1179C4×D4—791no—
1180C4×D4—791no—
1181C4×D4—791no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—1581no—
1187C4×D4—1581no—
1188C4×D4—1581no—
1189C4×D4—1581no—
1190C4×D4—1581no—
1191C4×D4—1581no—
1192C4×D4—1581no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4C22×D7911yescharacteristic
1203C4×D4C22×D7911yescharacteristic
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—21no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—791no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117—1581no—
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
1225C2×C4⋊C4—791no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C4⋊C4—1581no—
1229C2×C4⋊C4—1581no—
1230C2×C4⋊C4—1581no—
1231C2×C4⋊C4—1581no—
1232C2×C4⋊C4C22×D7911yescharacteristic
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—1581no—
1235C2×C22⋊C4—1581no—
1236C2×C22⋊C4—1581no—
1237C2×C42—791no—
1238C2×C42—791no—
1239C2×C42—1581no—
1240C2×C42C22×D7911yescharacteristic
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107—791no—
1245#107—791no—
1246#107—791no—
1247#107—791no—
1248#107—791no—
1249#107—791no—
1250#107—791no—
1251#107C22×D7911yescharacteristic
1252#107C22×D7911yescharacteristic
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106—791no—
1257#106—791no—
1258#106—791no—
1259#106—791no—
1260#106—791no—
1261#106—791no—
1262#106—791no—
1263#106C22×D7911yescharacteristic
1264#106C22×D7911yescharacteristic
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8—791no—
1268C4⋊C8—791no—
1269C4⋊C8—791no—
1270C4⋊C8—791no—
1271C4⋊C8—791no—
1272C4⋊C8—791no—
1273C4⋊C8C22×D7911yescharacteristic
1274C4⋊C8C22×D7911yescharacteristic
1275#103—791no—
1276#103—791no—
1277#103—791no—
1278#103—791no—
1279#103—791no—
1280#103—791no—
1281#103—791no—
1282#103—791no—
1283#103C22×D7911yescharacteristic
1284#103C22×D7911yescharacteristic
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102—791no—
1296#102—791no—
1297#102—791no—
1298#102—791no—
1299#102—791no—
1300#102—791no—
1301#102C22×D7911yescharacteristic
1302#102C22×D7911yescharacteristic
1303#102C22×D7911yescharacteristic
1304#102C22×D7911yescharacteristic
1305#102C22×D7911yescharacteristic
1306#102C22×D7911yescharacteristic
1307C22⋊C8—791no—
1308C22⋊C8—791no—
1309C22⋊C8—791no—
1310C22⋊C8—791no—
1311C22⋊C8C22×D7911yescharacteristic
1312C22⋊C8C22×D7911yescharacteristic
1313C4×C8—791no—
1314C4×C8—791no—
1315C4×C8—791no—
1316C4×C8—791no—
1317C4×C8C22×D7911yescharacteristic
1318C4×C8C22×D7911yescharacteristic
1319C24—21no—
1320C24—1581no—
1321#41—3164no—
1322#41—3161no—
1323#41—6322no—
1324#41—1584no—
1325#41—1582no—
1326C2×Q8—791no—
1327C2×Q8—791no—
1328C2×Q8—1581no—
1329C2×Q8—1581no—
1330C2×Q8—1581no—
1331C2×Q8C23×D7911yescharacteristic
1332C2×D4—22no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—3164no—
1337C2×D4—3161no—
1338C2×D4—791no—
1339C2×D4—791no—
1340C2×D4—791no—
1341C2×D4—791no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4—1581no—
1348C2×D4—1581no—
1349C2×D4—1581no—
1350C2×D4—1582no—
1351C2×D4—1581no—
1352C2×D4—1581no—
1353C2×D4C23×D7911yescharacteristic
1354C2×D4C23×D7911yescharacteristic
1355C2×D4C23×D7911yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—82no—
1363C22×C4—791no—
1364C22×C4—791no—
1365C22×C4—791no—
1366C22×C4—791no—
1367C22×C4—791no—
1368C22×C4—791no—
1369C22×C4—6322no—
1370C22×C4—1581no—
1371C22×C4—1581no—
1372C22×C4—1581no—
1373C22×C4—1581no—
1374C22×C4—1581no—
1375C22×C4—1581no—
1376C22×C4—1581no—
1377C22×C4—1581no—
1378C22×C4—1581no—
1379C22×C4—1581no—
1380C22×C4—1581no—
1381C22×C4—1581no—
1382C22×C4D4×D7911yescharacteristic
1383C22×C4D4×D7911yescharacteristic
1384C22×C4C23×D7911yescharacteristic
1385Q16—3161no—
1386SD16—22no—
1387SD16—41no—
1388SD16—3161no—
1389SD16—3161no—
1390D8—22no—
1391D8—41no—
1392D8—3161no—
1393C2×C8—3161no—
1394C2×C8—3161no—
1395C2×C8—3161no—
1396C2×C8—3161no—
1397C2×C8—3161no—
1398C2×C8—3161no—
1399C2×C8—791no—
1400C2×C8—791no—
1401C2×C8—791no—
1402C2×C8—791no—
1403C2×C8C23×D7911yescharacteristic
1404C2×C8C23×D7911yescharacteristic
1405C2×C8C23×D7911yescharacteristic
1406C2×C8C23×D7911yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—791no—
1413C4⋊C4—791no—
1414C4⋊C4—791no—
1415C4⋊C4—791no—
1416C4⋊C4—791no—
1417C4⋊C4—791no—
1418C4⋊C4—791no—
1419C4⋊C4—791no—
1420C4⋊C4—791no—
1421C4⋊C4—791no—
1422C4⋊C4—791no—
1423C4⋊C4—791no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4—1581no—
1442C4⋊C4—1581no—
1443C4⋊C4—1581no—
1444C4⋊C4—1581no—
1445C4⋊C4—1581no—
1446C4⋊C4—1581no—
1447C4⋊C4—1581no—
1448C4⋊C4—1581no—
1449C4⋊C4—1581no—
1450C4⋊C4—1581no—
1451C4⋊C4—1581no—
1452C4⋊C4—1581no—
1453C4⋊C4—1581no—
1454C4⋊C4—1581no—
1455C4⋊C4—1581no—
1456C4⋊C4C23×D7911yescharacteristic
1457C4⋊C4C23×D7911yescharacteristic
1458C4⋊C4C23×D7911yescharacteristic
1459C4⋊C4C23×D7911yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—791no—
1470C22⋊C4—791no—
1471C22⋊C4—791no—
1472C22⋊C4—791no—
1473C22⋊C4—791no—
1474C22⋊C4—791no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4—1581no—
1489C22⋊C4—1581no—
1490C22⋊C4—1581no—
1491C22⋊C4—1581no—
1492C22⋊C4—1581no—
1493C22⋊C4—1581no—
1494C22⋊C4—1581no—
1495C22⋊C4—1581no—
1496C22⋊C4—1581no—
1497C22⋊C4—1581no—
1498C42—21no—
1499C42—791no—
1500C42—791no—
1501C42—791no—
1502C42—791no—
1503C42—791no—
1504C42—791no—
1505C42—1581no—
1506C42—1581no—
1507C42—1581no—
1508C42—1581no—
1509C42—1581no—
1510C42—1581no—
1511C42—1581no—
1512C42D4×D7911yescharacteristic
1513C42D4×D7911yescharacteristic
1514C42C23×D7911yescharacteristic
1515C42C23×D7911yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—81no—
1522C23—3162no—
1523C23—3162no—
1524C23—791no—
1525C23—791no—
1526C23—6321no—
1527C23—1581no—
1528C23C2×D4×D7911yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—3162no—
1532Q8—6321no—
1533Q8—6321no—
1534Q8—1582no—
1535Q8—1581no—
1536Q8—1581no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—42no—
1543D4—42no—
1544D4—3162no—
1545D4—3162no—
1546D4—3162no—
1547D4—3162no—
1548D4—3162no—
1549D4—3162no—
1550D4—794no—
1551D4—6321no—
1552D4—6321no—
1553D4—6321no—
1554D4—6321no—
1555D4—1582no—
1556D4—1582no—
1557D4—1581no—
1558D4—1581no—
1559D4#1457920812yes—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—41no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—3162no—
1576C2×C4—3161no—
1577C2×C4—3161no—
1578C2×C4—3162no—
1579C2×C4—3162no—
1580C2×C4—3162no—
1581C2×C4—3162no—
1582C2×C4—3162no—
1583C2×C4—791no—
1584C2×C4—791no—
1585C2×C4—791no—
1586C2×C4—791no—
1587C2×C4—791no—
1588C2×C4—791no—
1589C2×C4—6321no—
1590C2×C4—6321no—
1591C2×C4—6321no—
1592C2×C4—6321no—
1593C2×C4—6321no—
1594C2×C4—6321no—
1595C2×C4—1582no—
1596C2×C4—1582no—
1597C2×C4—1581no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4C2×D4×D7911yescharacteristic
1609C2×C4C2×D4×D7911yescharacteristic
1610C2×C4C2×D4×D7911yescharacteristic
1611C2×C4C2×D4×D7911yescharacteristic
1612C2×C4C2×D4×D7911yescharacteristic
1613C2×C4C24×D7911yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1581no—
1619C8—1581no—
1620C8—1581no—
1621C8—1581no—
1622C22—21no—
1623C22—21no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—84no—
1634C22—3161no—
1635C22—3161no—
1636C22—3161no—
1637C22—792no—
1638C22—6324no—
1639C22—1581no—
1640C22—1581no—
1641C22—1581no—
1642C22—1581no—
1643C22—1581no—
1644C22#135×D7912yes—
1645C22C22×D4×D7911yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—3161no—
1657C4—3161no—
1658C4—3161no—
1659C4—3161no—
1660C4—3161no—
1661C4—3161no—
1662C4—3161no—
1663C4—792no—
1664C4—1581no—
1665C4—1581no—
1666C4—1581no—
1667C4—1581no—
1668C4—1581no—
1669C4C2×#1457920811yescharacteristic
1670C4#1909939911yescharacteristic
1671C2—22no—
1672C2—42no—
1673C2—81no—
1674C2—81no—
1675C2—3161no—
1676C2—6321no—
1677C2—1582no—
1678C2#2377707211yescharacteristic
1679C2C2×#135×D7911yescharacteristic
1680C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3105C2
socleC22×C79C23×D4
hypercenter#3105D79
hypocenterC79#62103
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #23777366C2semidirect
2. #23777004C2semidirect
3. #23776276C2semidirect
4. #23776267C2semidirect
5. #23776097C2semidirect
6. #23776061C2semidirect
7. #23775804C2semidirect
8. #23775800C2semidirect
9. #23775787C2semidirect
10. #23775784C2semidirect
11. #23775777C2semidirect
12. #23775755C2semidirect
13. #23775255C2semidirect
14. #23775254C2semidirect
15. #23775240C2semidirect
16. #23775239C2semidirect
17. #23775217C2semidirect
18. #23775206C2semidirect
19. #23774749C2semidirect
20. #23774747C2semidirect
21. #23774723C2semidirect
22. #23774570C2semidirect
23. #23774566C2semidirect
24. #23774535C2semidirect
25. #23773446C2semidirect
26. #23773415C2semidirect
27. #23773185C2semidirect
28. C2×#19098863C2semidirect
29. #478×D79C2semidirect
30. #23772508C2semidirect
31. C79×#3105C2semidirect
33. #19099289C22semidirect
35. #19099272C22semidirect
38. #19099265C22semidirect
40. #19099263C22semidirect
43. #19099255C22semidirect
44. #19099254C22semidirect
59. #19099119C22semidirect
64. #19099092C22semidirect
65. #19099092C22semidirect
66. C2×#14579153C22semidirect
67. #125×D79C22semidirect
75. #19098967C22semidirect
76. #19098965C22semidirect
77. #19098965C22semidirect
78. #19098964C22semidirect
79. #19098963C22semidirect
80. #19098960C22semidirect
81. #19098918C22semidirect
82. #19098918C22semidirect
83. #19098916C22semidirect
84. #19098916C22semidirect
87. #19098903C22semidirect
88. #19098900C22semidirect
89. #19098899C22semidirect
90. #19098897C22semidirect
91. #19098895C22semidirect
92. #19098894C22semidirect
93. #19098890C22semidirect
94. #19098889C22semidirect
95. #19098886C22semidirect
96. #19098886C22semidirect
97. #19098885C22semidirect
100. #19098880C22semidirect
103. #19098872C22semidirect
104. #19098871C22semidirect
105. #19098871C22semidirect
106. #19098870C22semidirect
107. #19098867C22semidirect
108. #19098866C22semidirect
110. #19098865C22semidirect
111. #19098864C22semidirect
112. #19098864C22semidirect
117. #19098863C22semidirect
118. #19098863C22semidirect
119. #19098863C22semidirect
120. #19098863C22semidirect
121. #19098863C22semidirect
122. #19098862C22semidirect
124. #19098860C22semidirect
125. #19098857C22semidirect
126. #19098856C22semidirect
128. #19098851C22semidirect
129. #19098847C22semidirect
131. #19098803C22semidirect
132. #19098802C22semidirect
133. #19098798C22semidirect
136. #19098796C22semidirect
137. #19098795C22semidirect
139. #19098791C22semidirect
140. #19098790C22semidirect
142. #19098789C22semidirect
143. #19098785C22semidirect
144. #19098783C22semidirect
145. #19098782C22semidirect
146. #19098778C22semidirect
147. #19098776C22semidirect
148. #19098775C22semidirect
155. C8×Dic158C22semidirect
156. C8×Dic158C22semidirect
157. #19098655C22semidirect
158. #19098654C22semidirect
161. #19098648C22semidirect
164. #19098643C22semidirect
165. C8×D316C22semidirect
166. C8×D316C22semidirect
169. (C22⋊D79)⋊C8C22semidirect
170. (C22⋊D79)⋊C8C22semidirect
171. #19098615C22semidirect
172. #19098615C22semidirect
173. #19098600C22semidirect
174. #19098598C22semidirect
175. C2×#14579094C22semidirect
176. #107×D79C22semidirect
177. C2×#14579092C22semidirect
178. #106×D79C22semidirect
179. C2×C4⋊(C79⋊C8)C22semidirect
180. C4⋊C8×D79C22semidirect
181. C4⋊C8×D79C22semidirect
188. #529×C79C22semidirect
190. #484×C79C22semidirect
191. #481×C79C22semidirect
193. #478×C79C22semidirect
195. #463×C79C22semidirect
199. C4×SD16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #431×C79C22semidirect
866. #3105D79semidirect
872. C79#62103semidirect
907. #529C2×D79semidirect
934. #484C2×D79semidirect
945. #481C2×D79semidirect
971. #478C2×D79semidirect
997. #463C2×D79semidirect
1014. C4×SD16C2×D79semidirect
1019. C4×D8C2×D79semidirect
1028. #431C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773662
#237770042
#237762762
#237762672
#237760972
#237760612
#237758042
#237758002
#237757872
#237757842
#237757772
#237757552
#237752552
#237752542
#237752402
#237752392
#237752172
#237752062
#237747492
#237747472
#237747232
#237745702
#237745662
#237745352
#237734462
#237734152
#237731852
C2×#190988632
#478×D792
#237725082
C79×#31052
#6210379