Finite Group Databasebeta

← #33969125

Subgroups — #33969125

Order 18688.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623892C211yesmaximal, characteristic, complemented
2#22623871C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622481C211yesmaximal, characteristic, complemented
9#22622447C211yesmaximal, characteristic, complemented
10#22622169C211yesmaximal, characteristic, complemented
11#22622148C211yesmaximal, characteristic, complemented
12#22622088C211yesmaximal, characteristic, complemented
13#22622077C211yesmaximal, characteristic, complemented
14#22621972C211yesmaximal, characteristic, complemented
15#22621893C211yesmaximal, characteristic, complemented
16#22621536C211yesmaximal, characteristic, complemented
17#22621413C211yesmaximal, characteristic, complemented
18#22621405C211yesmaximal, characteristic, complemented
19#22620610C211yesmaximal, characteristic, complemented
20#22620544C211yesmaximal, characteristic, complemented
21#22620526C211yesmaximal, characteristic, complemented
22#22620204C211yesmaximal, characteristic, complemented
23#22620171C211yesmaximal, characteristic, complemented
24#22620121C211yesmaximal, characteristic, complemented
25#22620111C211yesmaximal, characteristic, complemented
26#22620040C211yesmaximal, characteristic, complemented
27#22620022C211yesmaximal, characteristic, complemented
28#22618916C211yesmaximal, characteristic, complemented
29#22618778C211yesmaximal, characteristic, complemented
30#22618756C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C73C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×D8×D73C2211yescharacteristic
34#17989322C2211yescharacteristic, complemented
35#17989320C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic
38#17989300C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic, complemented
40#17989287C2211yescharacteristic
41#17989286—21no—
42#17989272C2211yescharacteristic, complemented
43#17989266—21no—
44#17989263—21no—
45#17989261—21no—
46#17989261—21no—
47D4×Dic146C2211yescharacteristic, complemented
48#17989246—21no—
49#17989238C2211yescharacteristic, complemented
50#17989233—21no—
51#17989232C2211yescharacteristic
52#17989231C2211yescharacteristic, complemented
53#17989227—21no—
54#17989225C2211yescharacteristic
55#17989225C2211yescharacteristic, complemented
56D4×D292C2211yescharacteristic, complemented
57D4×C22⋊D73C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989209C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic, complemented
61#17989188C2211yescharacteristic, complemented
62#17989179—21no—
63#17989170—21no—
64#17989170—21no—
65#17989170—21no—
66#17989137C2211yescharacteristic, complemented
67#17989121—21no—
68#17989121C2211yescharacteristic
69#17989121C2211yescharacteristic, complemented
70C2×#14556579—21no—
71#17989098—21no—
72C2×#14556574—21no—
73#17989066C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic, complemented
76#17989059C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988952C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988905C2211yescharacteristic, complemented
100#17988905C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988877C2211yescharacteristic, complemented
106#17988877C2211yescharacteristic, complemented
107#17988876C2211yescharacteristic, complemented
108#17988875C2211yescharacteristic, complemented
109#17988875C2211yescharacteristic, complemented
110#17988871C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988844C2211yescharacteristic, complemented
114#17988841C2211yescharacteristic, complemented
115#17988840C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic, complemented
117#17988839C2211yescharacteristic
118#17988833C2211yescharacteristic, complemented
119#17988833C2211yescharacteristic, complemented
120#17988830C2211yescharacteristic, complemented
121#17988822C2211yescharacteristic, complemented
122#17988819C2211yescharacteristic, complemented
123#17988817C2211yescharacteristic, complemented
124#17988813C2211yescharacteristic, complemented
125#17988812C2211yescharacteristic, complemented
126#17988809C2211yescharacteristic, complemented
127#17988805C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic
134#17988782C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic
137#17988749C2211yescharacteristic, complemented
138#17988746C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988736C2211yescharacteristic, complemented
141#17988733C2211yescharacteristic
142#17988732C2211yescharacteristic
143#17988722C2211yescharacteristic
144#17988722C2211yescharacteristic, complemented
145#17988721C2211yescharacteristic, complemented
146#17988721C2211yescharacteristic, complemented
147#17988719C2211yescharacteristic
148#17988719C2211yescharacteristic, complemented
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988699C2211yescharacteristic
152#17988697C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic, complemented
159#17988692C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165C4×#11924017C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988660C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988646C2211yescharacteristic, complemented
179#17988644C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic, complemented
181#17988624C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic, complemented
190C2×C4×D4×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic, complemented
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic, complemented
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic
198C4×D8×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#418×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924027C2311yescharacteristic
206C22×Dic146—21no—
207C22×D292—21no—
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212#14556615—24no—
213C2×#11924018C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×D584C2311yescharacteristic
219C2×D584C2311yescharacteristic
220C2×#11924013C2311yescharacteristic
221C2×#11924013C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225D8×D73—24no—
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556588C2311yescharacteristic
235#14556587C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556585—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585D411yescharacteristic
243#14556585D411yescharacteristic
244#14556584—21no—
245#14556584—21no—
246#14556583D411yescharacteristic
247#14556583C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556580C2311yescharacteristic
251#14556580C2311yescharacteristic
252#14556579—21no—
253#14556579—21no—
254#14556579—21no—
255#14556579—21no—
256#14556579—21no—
257#14556579—21no—
258#14556579—21no—
259#14556579D411yescharacteristic
260#14556579C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574D411yescharacteristic
282#14556574D411yescharacteristic
283#14556573—21no—
284#14556573—21no—
285#14556572—21no—
286#14556571C2311yescharacteristic
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570D411yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565—21no—
307#14556565—21no—
308#14556565D411yescharacteristic
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556560—21no—
326#14556560—21no—
327#14556559—21no—
328#14556559—21no—
329#14556559—21no—
330C4×Dic146—21no—
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73C2311yescharacteristic
355C4×C22⋊D73C2311yescharacteristic
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556548—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548C2311yescharacteristic
368#14556548C2311yescharacteristic
369#14556547—21no—
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C2×#11924005—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440AGL(1,ℤ/8)×C73—24no—
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C22⋊C4×C73—21no—
463C2×C42×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—82no—
485#11924028—82no—
486#11924027—22no—
487#11924027—41no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—82no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—82no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—82no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—22no—
521D4×D73—22no—
522D4×D73—41no—
523D4×D73—41no—
524D4×D73—41no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73C2411yescharacteristic
538C2×C4×D73C2411yescharacteristic
539#11924018—41no—
540#11924017—22no—
541#11924017—41no—
542#11924016—22no—
543#11924015—41no—
544D584—22no—
545D584—41no—
546#11924013—22no—
547#11924013—22no—
548#11924013—22no—
549#11924013—41no—
550#11924013—41no—
551#11924011—22no—
552#11924011—41no—
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C8×D73—22no—
558C8×D73—41no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C24×C73—21no—
639#41×C73—22no—
640#41×C73—41no—
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—41no—
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—82no—
658C22×C4×C73C2×D411yescharacteristic
659C22×C4×C73C2×D411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—22no—
662SD16×C73—22no—
663D8×C73—22no—
664D8×C73#4114yescomplemented
665M16×C73—22no—
666M16×C73—41no—
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73C22×D411yescharacteristic
712C22×D73C22×D411yescharacteristic
713Q8×C73—21no—
714Q8×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—42no—
720D4×C73—42no—
721D4×C73C2×#4112yes—
722D4×C73C2×#4112yes—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—41no—
731C2×C4×C73—41no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—42no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
738C2×C4×C73—81no—
739C2×C4×C73—81no—
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2511yescharacteristic
746C22⋊D73—41no—
747C22⋊D73—41no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—42no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—41no—
782D292—42no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798Dic146—21no—
799Dic146—21no—
800Dic146—41no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—22no—
816C22×C73—22no—
817C22×C73—21no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—84no—
826C22×C73C23×D411yescharacteristic
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—162no—
843C2×D73—162no—
844C2×D73—162no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868#61505—731nomaximal, Sylow
869C2×C73—42no—
870C2×C73—42no—
871C2×C73—41no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—41no—
877D73—41no—
878D73—81no—
879D73—81no—
880D73—81no—
881#3514—731no—
882#3513—731no—
883#3403—731no—
884#3384—731no—
885#3373—731no—
886#3370—731no—
887#3354—731no—
888#3350—731no—
889#3348—731no—
890#3325—731no—
891#3323—731no—
892#3319—731no—
893#3318—731no—
894#3311—731no—
895#3306—731no—
896#3273—731no—
897#3264—731no—
898#3264—731no—
899#3179—731no—
900#3173—731no—
901#3171—731no—
902#3125—731no—
903#3122—731no—
904#3118—731no—
905#3118—731no—
906#3111—731no—
907#3109—731no—
908#2967—731no—
909#2948—731no—
910#2946—731no—
911C4×AGL(1,ℤ/8)D7311yescharacteristic, complemented
912C73#6150511yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—731no—
914C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
915C22×D8—731no—
916#559—731no—
917#559—731no—
918#556—731no—
919#555—731no—
920#555—731no—
921#554—731no—
922#553—731no—
923#553—1461no—
924#552—731no—
925#551—1461no—
926#551—1461no—
927#551—1461no—
928#551—1461no—
929D4×Q8—731no—
930#548—1461no—
931#547—731no—
932#546—731no—
933#546—731no—
934#546—731no—
935#546—731no—
936#546—1461no—
937#546—1461no—
938D42—731no—
939D42—731no—
940#542—731no—
941#542—731no—
942#542—731no—
943#540—731no—
944#539—1461no—
945#538—1461no—
946#538—1461no—
947#538—1461no—
948#532—731no—
949#529—731no—
950#529—731no—
951#529—1461no—
952C2×#124—1461no—
953#525—1461no—
954C2×#123—1461no—
955#520—731no—
956#518—731no—
957#518—731no—
958#518—731no—
959C4×#41C2×D7311yescharacteristic, complemented
960C2×C4×D4C2×D7311yescharacteristic, complemented
961#501—731no—
962#501—731no—
963#498—731no—
964#496—731no—
965#496—731no—
966#495—731no—
967#490—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#488—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485—731no—
976#483—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#482—731no—
982#481—731no—
983#481—731no—
984#481—731no—
985#479—731no—
986#478—731no—
987#478—731no—
988#478—731no—
989#476—731no—
990#476—731no—
991#476—731no—
992#476—731no—
993#476—731no—
994#475—731no—
995#474—731no—
996#474—731no—
997#470—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#469—731no—
1002#468—731no—
1003#468—731no—
1004#468—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#463—731no—
1012#463—731no—
1013#463—731no—
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#459—731no—
1021#452—731no—
1022#452—731no—
1023#450—731no—
1024#450—731no—
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#447—731no—
1033#446—731no—
1034#446—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442C2×D7311yescharacteristic
1044#442C2×D7311yescharacteristic, complemented
1045#441—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440C2×D7311yescharacteristic, complemented
1050#440C2×D7311yescharacteristic, complemented
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16C2×D7311yescharacteristic, complemented
1055C4×SD16C2×D7311yescharacteristic, complemented
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8C2×D7311yescharacteristic
1062C4×D8C2×D7311yescharacteristic, complemented
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#433—731no—
1070#433—731no—
1071#432—731no—
1072#428—731no—
1073#428C2×D7311yescharacteristic, complemented
1074#427—731no—
1075#418—731no—
1076#418—731no—
1077#418C2×D7311yescharacteristic, complemented
1078#417C2×D7311yescharacteristic, complemented
1079#416—731no—
1080C2×#102—731no—
1081#405—731no—
1082#405—731no—
1083C4×M16C2×D7311yescharacteristic, complemented
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C2×#41C22×D7311yescharacteristic
1088C22×Q8—1461no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C22×D4C22×D7311yescharacteristic
1095C23×C4—21no—
1096AGL(1,ℤ/8)—24no—
1097AGL(1,ℤ/8)—1464no—
1098C2×Q16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—1464no—
1113C2×D8C22×D7311yescharacteristic
1114C2×D8C22×D7311yescharacteristic
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C2×M16C22×D7311yescharacteristic
1119C22×C8—731no—
1120C22×C8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125#127—731no—
1126#127—731no—
1127#126—731no—
1128#126—731no—
1129#126—1461no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#124—731no—
1142#124—731no—
1143#124—731no—
1144#124—731no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#123—731no—
1158#123—731no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220#120—1461no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—1461no—
1225C4×Q8C22×D7311yescharacteristic
1226C4×Q8C22×D7311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4C22×D7311yescharacteristic
1258C4×D4C22×D7311yescharacteristic
1259C4×D4C22×D7311yescharacteristic
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263#117—21no—
1264#117—731no—
1265#117—731no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117C22×D7311yescharacteristic
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—1461no—
1277C2×C4⋊C4—1461no—
1278C2×C4⋊C4C22×D7311yescharacteristic
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—1461no—
1281C2×C22⋊C4—1461no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—21no—
1291C2×C42C22×D7311yescharacteristic
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103C22×D7311yescharacteristic
1321#103C22×D7311yescharacteristic
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#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97C22×D7311yescharacteristic
1357#97C22×D7311yescharacteristic
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C4×C8C22×D7311yescharacteristic
1362C24—21no—
1363C24—1461no—
1364C24—1461no—
1365C24—1461no—
1366#41—22no—
1367#41—41no—
1368#41—2921no—
1369#41—5842no—
1370#41—5842no—
1371#41—1462no—
1372C2×Q8—5842no—
1373C2×Q8—731no—
1374C2×Q8—731no—
1375C2×Q8—1461no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8C23×D7311yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—5842no—
1388C2×D4—5842no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—82no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4D4×D7311yescharacteristic
1441C22×C4D4×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443Q16—2921no—
1444SD16—22no—
1445SD16—22no—
1446SD16—2921no—
1447SD16—2921no—
1448SD16—1462no—
1449SD16—1462no—
1450D8—22no—
1451D8—2921no—
1452D8—2921no—
1453D8—2921no—
1454D8—1462no—
1455D8—1462no—
1456D8—1462no—
1457D8—1462no—
1458D8#1192402814yescomplemented
1459M16—22no—
1460M16—41no—
1461M16—2921no—
1462M16—1462no—
1463C2×C8—2921no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—1462no—
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
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⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4C23×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—731no—
1517C22⋊C4—731no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
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⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—731no—
1563C42—731no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42D4×D7311yescharacteristic
1570C42D4×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C42C23×D7311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—2922no—
1580C23—2922no—
1581C23—2922no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—5841no—
1586C23—5841no—
1587C23—5841no—
1588C23—731no—
1589C23—731no—
1590C23—1461no—
1591C23—1461no—
1592C23—1461no—
1593C23C2×D4×D7311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—2922no—
1597Q8—2921no—
1598Q8—5841no—
1599Q8—5841no—
1600Q8—5841no—
1601Q8—1461no—
1602Q8—1461no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—42no—
1608D4—42no—
1609D4—2922no—
1610D4—2921no—
1611D4—2922no—
1612D4—2922no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—2921no—
1617D4—2921no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4C2×#1192402812yes—
1635D4C2×#1192402812yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—2922no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C24×D7311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C8C2×#1192402812yes—
1694C22—21no—
1695C22—22no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—84no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—11682no—
1717C22—11682no—
1718C22—11682no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22—1461no—
1724C22—1461no—
1725C22C22×D4×D7311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4C22×#1192402811yescharacteristic
1748C4#1798942311yescharacteristic
1749C2—41no—
1750C2—42no—
1751C2—42no—
1752C2—81no—
1753C2—2921no—
1754C2—2921no—
1755C2—5841no—
1756C2—5841no—
1757C2—5841no—
1758C2D4×#1192402811yescharacteristic
1759C2#2262470711yescharacteristic
1760C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC4×AGL(1,ℤ/8)×C73C2
socleC22×C73C23×D4
hypercenterC4×AGL(1,ℤ/8)D73
hypocenterC73#61505
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #22623892C2semidirect
2. #22623871C2semidirect
3. #22623020C2semidirect
4. #22622831C2semidirect
5. #22622724C2semidirect
6. #22622685C2semidirect
7. #22622522C2semidirect
8. #22622481C2semidirect
9. #22622447C2semidirect
10. #22622169C2semidirect
11. #22622148C2semidirect
12. #22622088C2semidirect
13. #22622077C2semidirect
14. #22621972C2semidirect
15. #22621893C2semidirect
16. #22621536C2semidirect
17. #22621413C2semidirect
18. #22621405C2semidirect
19. #22620610C2semidirect
20. #22620544C2semidirect
21. #22620526C2semidirect
22. #22620204C2semidirect
23. #22620171C2semidirect
24. #22620121C2semidirect
25. #22620111C2semidirect
26. #22620040C2semidirect
27. #22620022C2semidirect
28. #22618916C2semidirect
29. #22618778C2semidirect
30. #22618756C2semidirect
31. C4×AGL(1,ℤ/8)×C73C2semidirect
34. #17989322C22semidirect
35. #17989320C22semidirect
36. #17989310C22semidirect
38. #17989300C22semidirect
39. #17989296C22semidirect
42. #17989272C22semidirect
47. D4×Dic146C22semidirect
49. #17989238C22semidirect
52. #17989231C22semidirect
55. #17989225C22semidirect
56. D4×D292C22semidirect
57. D4×C22⋊D73C22semidirect
58. #17989209C22semidirect
59. #17989209C22semidirect
60. #17989202C22semidirect
61. #17989188C22semidirect
66. #17989137C22semidirect
69. #17989121C22semidirect
73. #17989066C22semidirect
74. #17989059C22semidirect
75. #17989059C22semidirect
76. #17989059C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988984C22semidirect
80. #17988976C22semidirect
81. #17988973C22semidirect
82. #17988968C22semidirect
83. #17988952C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988930C22semidirect
90. #17988928C22semidirect
91. #17988927C22semidirect
92. #17988916C22semidirect
93. #17988914C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
98. #17988907C22semidirect
99. #17988905C22semidirect
100. #17988905C22semidirect
101. #17988894C22semidirect
102. #17988890C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988877C22semidirect
106. #17988877C22semidirect
107. #17988876C22semidirect
108. #17988875C22semidirect
109. #17988875C22semidirect
110. #17988871C22semidirect
111. #17988866C22semidirect
112. #17988865C22semidirect
113. #17988844C22semidirect
114. #17988841C22semidirect
115. #17988840C22semidirect
116. #17988840C22semidirect
118. #17988833C22semidirect
119. #17988833C22semidirect
120. #17988830C22semidirect
121. #17988822C22semidirect
122. #17988819C22semidirect
123. #17988817C22semidirect
124. #17988813C22semidirect
125. #17988812C22semidirect
126. #17988809C22semidirect
127. #17988805C22semidirect
128. #17988804C22semidirect
129. #17988804C22semidirect
130. #17988802C22semidirect
131. #17988801C22semidirect
132. #17988800C22semidirect
134. #17988782C22semidirect
135. #17988781C22semidirect
137. #17988749C22semidirect
138. #17988746C22semidirect
139. #17988739C22semidirect
140. #17988736C22semidirect
144. #17988722C22semidirect
145. #17988721C22semidirect
146. #17988721C22semidirect
148. #17988719C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
152. #17988697C22semidirect
153. #17988697C22semidirect
154. #17988697C22semidirect
155. #17988697C22semidirect
156. #17988697C22semidirect
157. #17988696C22semidirect
158. #17988696C22semidirect
159. #17988692C22semidirect
160. #17988687C22semidirect
161. #17988686C22semidirect
162. #17988685C22semidirect
163. #17988678C22semidirect
164. C4×#11924017C22semidirect
165. C4×#11924017C22semidirect
166. C4×D584C22semidirect
167. C4×D584C22semidirect
169. #17988669C22semidirect
170. #17988667C22semidirect
171. #17988663C22semidirect
172. #17988663C22semidirect
173. #17988660C22semidirect
174. #17988660C22semidirect
175. #17988656C22semidirect
176. #17988656C22semidirect
177. #17988646C22semidirect
178. #17988646C22semidirect
179. #17988644C22semidirect
180. #17988628C22semidirect
181. #17988624C22semidirect
182. #17988590C22semidirect
183. #17988590C22semidirect
184. #17988580C22semidirect
185. #102×D73C22semidirect
186. #17988541C22semidirect
187. #17988541C22semidirect
189. C4×#41×C73C22semidirect
190. C2×C4×D4×C73C22semidirect
192. #442×C73C22semidirect
193. #440×C73C22semidirect
194. #440×C73C22semidirect
195. C4×SD16×C73C22semidirect
196. C4×SD16×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #428×C73C22semidirect
200. #418×C73C22semidirect
201. #417×C73C22semidirect
202. C4×M16×C73C22semidirect
664. D8×C73#41semidirect
911. C4×AGL(1,ℤ/8)D73semidirect
912. C73#61505semidirect
959. C4×#41C2×D73semidirect
960. C2×C4×D4C2×D73semidirect
1044. #442C2×D73semidirect
1049. #440C2×D73semidirect
1050. #440C2×D73semidirect
1054. C4×SD16C2×D73semidirect
1055. C4×SD16C2×D73semidirect
1062. C4×D8C2×D73semidirect
1073. #428C2×D73semidirect
1077. #418C2×D73semidirect
1078. #417C2×D73semidirect
1083. C4×M16C2×D73semidirect
1458. D8#11924028semidirect

Maximal subgroups

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

subgroupindex
#226238922
#226238712
#226230202
#226228312
#226227242
#226226852
#226225222
#226224812
#226224472
#226221692
#226221482
#226220882
#226220772
#226219722
#226218932
#226215362
#226214132
#226214052
#226206102
#226205442
#226205262
#226202042
#226201712
#226201212
#226201112
#226200402
#226200222
#226189162
#226187782
#226187562
C4×AGL(1,ℤ/8)×C732
#6150573