Finite Group Databasebeta

← #33967969

Subgroups — #33967969

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623532C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22622992C211yesmaximal, characteristic, complemented
4#22622890C211yesmaximal, characteristic, complemented
5#22622755C211yesmaximal, characteristic, complemented
6#22622677C211yesmaximal, characteristic, complemented
7#22622426C211yesmaximal, characteristic, complemented
8#22622388C211yesmaximal, characteristic, complemented
9#22622316C211yesmaximal, characteristic, complemented
10#22622080C211yesmaximal, characteristic, complemented
11#22622012C211yesmaximal, characteristic, complemented
12#22621952C211yesmaximal, characteristic, complemented
13#22621900C211yesmaximal, characteristic, complemented
14#22621785C211yesmaximal, characteristic, complemented
15#22621770C211yesmaximal, characteristic, complemented
16#22621616C211yesmaximal, characteristic, complemented
17#22621450C211yesmaximal, characteristic, complemented
18#22620655C211yesmaximal, characteristic, complemented
19#22620633C211yesmaximal, characteristic, complemented
20#22620626C211yesmaximal, characteristic, complemented
21#22620079C211yesmaximal, characteristic, complemented
22#22620064C211yesmaximal, characteristic, complemented
23#22620064C211yesmaximal, characteristic, complemented
24#22620037C211yesmaximal, characteristic, complemented
25#22620033C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic73C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30C2×#17988699C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556610C2211yescharacteristic
33#17989323C2211yescharacteristic, complemented
34#17989306C2211yescharacteristic, complemented
35#17989301C2211yescharacteristic, complemented
36#17989296C2211yescharacteristic, complemented
37#17989294C2211yescharacteristic
38#17989294C2211yescharacteristic, complemented
39#17989289—21no—
40#17989289C2211yescharacteristic
41#17989289C2211yescharacteristic, complemented
42#17989280—21no—
43#17989279C2211yescharacteristic, complemented
44#17989277C2211yescharacteristic
45#17989274—21no—
46#17989268—21no—
47#17989268—21no—
48#17989268—21no—
49#17989263—21no—
50#17989236C2211yescharacteristic, complemented
51#17989231—21no—
52#17989231C2211yescharacteristic
53#17989231C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic, complemented
55#17989139C2211yescharacteristic, complemented
56#17989135C2211yescharacteristic, complemented
57#17989118—21no—
58#17989118—21no—
59#17989118C2211yescharacteristic
60#17989118C2211yescharacteristic, complemented
61#17989118C2211yescharacteristic, complemented
62#17989116C2211yescharacteristic, complemented
63#17989114—21no—
64#17989093—21no—
65#17989093—21no—
66#17989093—21no—
67#41×Dic73C2211yescharacteristic, complemented
68C4×#11924027C2211yescharacteristic
69C4×#11924027C2211yescharacteristic, complemented
70C4×#11924027C2211yescharacteristic, complemented
71C2×D4×Dic73—21no—
72C2×D4×Dic73C2211yescharacteristic
73C2×D4×Dic73C2211yescharacteristic, complemented
74C2×D4×Dic73C2211yescharacteristic, complemented
75C2×#14556547—21no—
76#17988996C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988978C2211yescharacteristic, complemented
80#17988970C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988951C2211yescharacteristic, complemented
83#17988946C2211yescharacteristic, complemented
84#17988945C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988898C2211yescharacteristic
98#17988898C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic, complemented
107#17988873C2211yescharacteristic, complemented
108#17988867C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988865C2211yescharacteristic, complemented
111#17988845C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988828C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988820C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988814C2211yescharacteristic
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic
124#17988800C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988784C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988738C2211yescharacteristic
134#17988738C2211yescharacteristic, complemented
135#17988738C2211yescharacteristic, complemented
136#17988729C2211yescharacteristic
137#17988729C2211yescharacteristic, complemented
138#17988729C2211yescharacteristic, complemented
139#17988716C2211yescharacteristic, complemented
140#17988715C2211yescharacteristic, complemented
141#17988699C2211yescharacteristic
142#17988699C2211yescharacteristic
143#17988699C2211yescharacteristic
144#17988699C2211yescharacteristic
145#17988699C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988699C2211yescharacteristic, complemented
148#17988699C2211yescharacteristic, complemented
149#17988699C2211yescharacteristic, complemented
150#17988699C2211yescharacteristic, complemented
151#17988695C2211yescharacteristic, complemented
152#17988693C2211yescharacteristic, complemented
153#17988691C2211yescharacteristic, complemented
154#17988688C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988684C2211yescharacteristic, complemented
160#17988684C2211yescharacteristic, complemented
161#17988684C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic
167D8×Dic73C2211yescharacteristic, complemented
168#17988661C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic
170#17988656C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178C2×#14556523C2211yescharacteristic, complemented
179#17988592C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184C2×#14556512C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C22×D8×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic
193#469×C73C2211yescharacteristic
194#465×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#459×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic
199#447×C73C2211yescharacteristic
200#447×C73C2211yescharacteristic
201#442×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C23×Dic73—21no—
208C23×Dic73—21no—
209C23×Dic73—21no—
210#14556610—24no—
211C2×Dic292C2311yescharacteristic
212C2×#11924018C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924012C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556589C2311yescharacteristic
225#14556586—21no—
226#14556584—21no—
227#14556584—21no—
228#14556584—21no—
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556583C2311yescharacteristic
236#14556582—21no—
237#14556582—21no—
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556581—21no—
242#14556581—21no—
243#14556578—21no—
244#14556578—21no—
245#14556578—21no—
246#14556578C2311yescharacteristic
247#14556578C2311yescharacteristic
248#14556578C2311yescharacteristic
249#14556577—21no—
250#14556575—21no—
251#14556575—21no—
252#14556575—21no—
253#14556574—21no—
254#14556573—21no—
255#14556572—21no—
256#14556572—21no—
257#14556572—21no—
258#14556572—21no—
259#14556572—21no—
260#14556572—21no—
261#14556572—21no—
262#14556572—21no—
263#14556572—21no—
264#14556572—21no—
265#14556570—21no—
266#14556570—21no—
267#14556570C2311yescharacteristic
268#14556570C2311yescharacteristic
269#14556570C2311yescharacteristic
270#14556570C2311yescharacteristic
271#14556568—21no—
272#14556568—21no—
273#14556568—21no—
274#14556568—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556568—21no—
279#14556567C2311yescharacteristic
280#14556563—21no—
281#14556563—21no—
282#14556563—21no—
283#14556563—21no—
284#14556563—21no—
285#14556563—21no—
286#14556563—21no—
287#14556562—21no—
288#14556562C2311yescharacteristic
289#14556562C2311yescharacteristic
290#14556562C2311yescharacteristic
291#14556560—21no—
292#14556560—21no—
293#14556560—21no—
294Q8×Dic73C2311yescharacteristic
295Q8×Dic73C2311yescharacteristic
296C4×Dic146C2311yescharacteristic
297C4×Dic146C2311yescharacteristic
298C4×Dic146C2311yescharacteristic
299#14556556—21no—
300#14556556D411yescharacteristic
301#14556556C2311yescharacteristic
302#14556556C2311yescharacteristic
303D4×Dic73—21no—
304D4×Dic73—21no—
305D4×Dic73—21no—
306D4×Dic73—21no—
307D4×Dic73—21no—
308D4×Dic73—21no—
309D4×Dic73—21no—
310D4×Dic73—21no—
311D4×Dic73—21no—
312D4×Dic73—21no—
313D4×Dic73—21no—
314D4×Dic73—21no—
315D4×Dic73—21no—
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73D411yescharacteristic
320D4×Dic73C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73C2311yescharacteristic
335C4×C22⋊D73C2311yescharacteristic
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551D411yescharacteristic
340#14556551D411yescharacteristic
341#14556550—21no—
342#14556550C2311yescharacteristic
343#14556549D411yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556547—21no—
347#14556547—21no—
348#14556547—21no—
349#14556547—21no—
350#14556547—21no—
351#14556547—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357#14556547D411yescharacteristic
358#14556547D411yescharacteristic
359C2×C4⋊Dic73—21no—
360C2×C4⋊Dic73C2311yescharacteristic
361C2×C4⋊Dic73C2311yescharacteristic
362C2×C4⋊Dic73C2311yescharacteristic
363C2×#11924007—21no—
364C2×#11924007—21no—
365C2×C22⋊Dic73—21no—
366C2×C22⋊Dic73—21no—
367C2×C22⋊Dic73—21no—
368C2×C22⋊Dic73—21no—
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×C4×Dic73—21no—
372C2×C4×Dic73—21no—
373C2×C4×Dic73—21no—
374C2×C4×Dic73C2311yescharacteristic
375C2×C4×Dic73C2311yescharacteristic
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392C4⋊#10596831C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556516C2311yescharacteristic
398#14556516C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556512C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556501C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×#41×C73C2311yescharacteristic
437C22×D4×C73—21no—
438C22×D4×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441AGL(1,ℤ/8)×C73—24no—
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73—24no—
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#120×C73—21no—
464#120×C73—21no—
465#120×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#11924027—22no—
482#11924027—22no—
483#11924027—41no—
484#11924027—41no—
485#11924027—42no—
486#11924027—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73C2×D411yescharacteristic
498C2×C22⋊D73C2×D411yescharacteristic
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—44no—
517C22×Dic73—82no—
518C22×Dic73—82no—
519C22×Dic73C2×D411yescharacteristic
520C22×Dic73C2×D411yescharacteristic
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526Dic292—22no—
527#11924018—41no—
528#11924016—22no—
529#11924016—22no—
530#11924016—41no—
531#11924016—41no—
532#11924016—41no—
533#11924012—41no—
534C2×#10596831—41no—
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C8×D73—22no—
540C8×D73—41no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C24×C73—21no—
630C24×C73—21no—
631C24×C73—21no—
632#41×C73—22no—
633#41×C73—41no—
634C2×Q8×C73C2411yescharacteristic
635C2×D4×C73—22no—
636C2×D4×C73—22no—
637C2×D4×C73—22no—
638C2×D4×C73—21no—
639C2×D4×C73—21no—
640C2×D4×C73—21no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—41no—
648C2×D4×C73—41no—
649C2×D4×C73—41no—
650C2×D4×C73—44no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73C2411yescharacteristic
661C22×C4×C73C2411yescharacteristic
662SD16×C73—22no—
663SD16×C73—22no—
664SD16×C73—41no—
665D8×C73—22no—
666D8×C73—22no—
667D8×C73—22no—
668D8×C73—22no—
669D8×C73—41no—
670D8×C73#4114yescomplemented
671M16×C73—22no—
672C2×C8×C73—22no—
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C4⋊C4×C73—21no—
678C4⋊C4×C73C2×D411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73C2×D411yescharacteristic
690C22⋊C4×C73C2×D411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—42no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—42no—
701C23×C73—42no—
702C23×C73—42no—
703C23×C73—81no—
704C23×C73—81no—
705C23×C73—81no—
706C23×C73C22×D411yescharacteristic
707C23×C73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711D4×C73—22no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—42no—
721D4×C73—42no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73—42no—
725D4×C73—42no—
726D4×C73—42no—
727D4×C73—81no—
728D4×C73—81no—
729D4×C73C2×#4112yes—
730D4×C73C2×#4112yes—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73—81no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2511yescharacteristic
746C22⋊D73—22no—
747C22⋊D73—41no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C2×Dic73—22no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—41no—
763C2×Dic73—41no—
764C2×Dic73—41no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—42no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73—42no—
774C2×Dic73—42no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—41no—
792C4×D73—41no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—41no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—22no—
812C22×C73—22no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—84no—
829C22×C73—84no—
830C22×C73—84no—
831C22×C73#57512yes—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73C22×#4111yescharacteristic
844C4×C73#58511yescharacteristic
845Dic73—21no—
846Dic73—21no—
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—41no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—41no—
863C2×C73—42no—
864C2×C73—42no—
865C2×C73—81no—
866C2×C73—81no—
867C2×C73—81no—
868C2×C73D4×#4111yescharacteristic
869C2×C73C2×#57511yescharacteristic
870C2×C73#358511yescharacteristic
871D73—41no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264D7311yescharacteristic, complemented
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
905C2×#135—731no—
906C22×D8C2×D7311yescharacteristic
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929#546C2×D7311yescharacteristic
930D42C2×D7311yescharacteristic
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496C2×D7311yescharacteristic
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469C2×D7311yescharacteristic
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465C2×D7311yescharacteristic
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463C2×D7311yescharacteristic
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459C2×D7311yescharacteristic
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450C2×D7311yescharacteristic
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449C2×D7311yescharacteristic
1022#447C2×D7311yescharacteristic
1023#447C2×D7311yescharacteristic
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442C2×D7311yescharacteristic
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435C2×D7311yescharacteristic
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—21no—
1081C22×D4C22×D7311yescharacteristic
1082C22×D4C22×D7311yescharacteristic
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—24no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—24no—
1100C2×D8C22×D7311yescharacteristic
1101C2×D8C22×D7311yescharacteristic
1102C2×D8C22×D7311yescharacteristic
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16C22×D7311yescharacteristic
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127C22×D7311yescharacteristic
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—41no—
1358#41—2921no—
1359#41—2921no—
1360#41—2922no—
1361#41—5842no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—44no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4D4×D7311yescharacteristic
1394C2×D4C23×D7311yescharacteristic
1395C2×D4C23×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—2924no—
1403C22×C4—5842no—
1404C22×C4—5842no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—22no—
1434SD16—22no—
1435SD16—41no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—2921no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8#1192402714yescomplemented
1447M16—22no—
1448M16—2921no—
1449C2×C8—22no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—731no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4D4×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4D4×D7311yescharacteristic
1544C22⋊C4D4×D7311yescharacteristic
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—42no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23—731no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—2921no—
1584Q8—5841no—
1585Q8—5841no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—22no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—42no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—81no—
1607D4—81no—
1608D4—2922no—
1609D4—2922no—
1610D4—2921no—
1611D4—5841no—
1612D4—5841no—
1613D4—5841no—
1614D4—1462no—
1615D4C2×#1192402712yes—
1616D4C2×#1192402712yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—81no—
1627C2×C4—2921no—
1628C2×C4—2921no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2921no—
1640C2×C4—2921no—
1641C2×C4—2921no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1462no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8C2×#1192402712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—22no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—84no—
1701C22—84no—
1702C22—84no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938312yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—2921no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C22×#1192402711yescharacteristic
1731C4#1798942211yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—2921no—
1740C2D4×#1192402711yescharacteristic
1741C2C2×#1798938311yescharacteristic
1742C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22623532C2semidirect
2. #22623482C2semidirect
3. #22622992C2semidirect
4. #22622890C2semidirect
5. #22622755C2semidirect
6. #22622677C2semidirect
7. #22622426C2semidirect
8. #22622388C2semidirect
9. #22622316C2semidirect
10. #22622080C2semidirect
11. #22622012C2semidirect
12. #22621952C2semidirect
13. #22621900C2semidirect
14. #22621785C2semidirect
15. #22621770C2semidirect
16. #22621616C2semidirect
17. #22621450C2semidirect
18. #22620655C2semidirect
19. #22620633C2semidirect
20. #22620626C2semidirect
21. #22620079C2semidirect
22. #22620064C2semidirect
23. #22620064C2semidirect
24. #22620037C2semidirect
25. #22620033C2semidirect
26. #22620025C2semidirect
27. #22618941C2semidirect
28. AGL(1,ℤ/8)×Dic73C2semidirect
29. #22618728C2semidirect
30. C2×#17988699C2semidirect
31. C73×#3264C2semidirect
33. #17989323C22semidirect
34. #17989306C22semidirect
35. #17989301C22semidirect
36. #17989296C22semidirect
38. #17989294C22semidirect
41. #17989289C22semidirect
43. #17989279C22semidirect
50. #17989236C22semidirect
53. #17989231C22semidirect
54. #17989231C22semidirect
55. #17989139C22semidirect
56. #17989135C22semidirect
60. #17989118C22semidirect
61. #17989118C22semidirect
62. #17989116C22semidirect
67. #41×Dic73C22semidirect
69. C4×#11924027C22semidirect
70. C4×#11924027C22semidirect
73. C2×D4×Dic73C22semidirect
74. C2×D4×Dic73C22semidirect
76. #17988996C22semidirect
77. #17988994C22semidirect
78. #17988987C22semidirect
79. #17988978C22semidirect
80. #17988970C22semidirect
81. #17988954C22semidirect
82. #17988951C22semidirect
83. #17988946C22semidirect
84. #17988945C22semidirect
85. #17988940C22semidirect
86. #17988940C22semidirect
87. #17988929C22semidirect
88. #17988926C22semidirect
89. #17988923C22semidirect
90. #17988920C22semidirect
91. #17988918C22semidirect
92. #17988918C22semidirect
93. #17988910C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988908C22semidirect
98. #17988898C22semidirect
99. #17988895C22semidirect
100. #17988892C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988889C22semidirect
104. #17988889C22semidirect
105. #17988887C22semidirect
106. #17988885C22semidirect
107. #17988873C22semidirect
108. #17988867C22semidirect
109. #17988865C22semidirect
110. #17988865C22semidirect
111. #17988845C22semidirect
112. #17988831C22semidirect
113. #17988831C22semidirect
114. #17988828C22semidirect
115. #17988826C22semidirect
116. #17988820C22semidirect
117. #17988820C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988807C22semidirect
122. #17988806C22semidirect
124. #17988800C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988800C22semidirect
128. #17988790C22semidirect
129. #17988790C22semidirect
130. #17988784C22semidirect
131. #17988749C22semidirect
132. #17988746C22semidirect
134. #17988738C22semidirect
135. #17988738C22semidirect
137. #17988729C22semidirect
138. #17988729C22semidirect
139. #17988716C22semidirect
140. #17988715C22semidirect
145. #17988699C22semidirect
146. #17988699C22semidirect
147. #17988699C22semidirect
148. #17988699C22semidirect
149. #17988699C22semidirect
150. #17988699C22semidirect
151. #17988695C22semidirect
152. #17988693C22semidirect
153. #17988691C22semidirect
154. #17988688C22semidirect
155. #17988688C22semidirect
156. #17988688C22semidirect
157. #17988687C22semidirect
158. #17988687C22semidirect
159. #17988684C22semidirect
160. #17988684C22semidirect
161. #17988684C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
167. D8×Dic73C22semidirect
168. #17988661C22semidirect
170. #17988656C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988650C22semidirect
173. #17988643C22semidirect
174. #17988641C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. #17988622C22semidirect
178. C2×#14556523C22semidirect
179. #17988592C22semidirect
180. #17988588C22semidirect
181. #17988580C22semidirect
182. #17988580C22semidirect
184. C2×#14556512C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
670. D8×C73#41semidirect
889. #3264D73semidirect
903. C73#61454semidirect
1446. D8#11924027semidirect

Maximal subgroups

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

subgroupindex
#226235322
#226234822
#226229922
#226228902
#226227552
#226226772
#226224262
#226223882
#226223162
#226220802
#226220122
#226219522
#226219002
#226217852
#226217702
#226216162
#226214502
#226206552
#226206332
#226206262
#226200792
#226200642
#226200372
#226200332
#226200252
#226189412
AGL(1,ℤ/8)×Dic732
#226187282
C2×#179886992
C73×#32642
#6145473