Finite Group Databasebeta

← #33978339

Subgroups — #33978339

Order 18688.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623837C211yesmaximal, characteristic, complemented
2D4×#11924027C211yesmaximal, characteristic, complemented
3#22622948C211yesmaximal, characteristic, complemented
4#22622946C211yesmaximal, characteristic, complemented
5#22622650C211yesmaximal, characteristic, complemented
6#22622644C211yesmaximal, characteristic, complemented
7#22622231C211yesmaximal, characteristic, complemented
8#22622229C211yesmaximal, characteristic, complemented
9#22621928C211yesmaximal, characteristic, complemented
10#22621926C211yesmaximal, characteristic, complemented
11#22621924C211yesmaximal, characteristic, complemented
12#22621922C211yesmaximal, characteristic, complemented
13#22621529C211yesmaximal, characteristic, complemented
14#22621525C211yesmaximal, characteristic, complemented
15#22621430C211yesmaximal, characteristic, complemented
16#22621426C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22621316C211yesmaximal, characteristic, complemented
19#22621313C211yesmaximal, characteristic, complemented
20#22621237C211yesmaximal, characteristic, complemented
21#22620923C211yesmaximal, characteristic, complemented
22#22620921C211yesmaximal, characteristic, complemented
23#22620854C211yesmaximal, characteristic, complemented
24#22620028C211yesmaximal, characteristic, complemented
25#22620025C211yesmaximal, characteristic, complemented
26#22619926C211yesmaximal, characteristic, complemented
27#22619393C211yesmaximal, characteristic, complemented
28#22619392C211yesmaximal, characteristic, complemented
29C2×#17988790C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C22×#11924027—21no—
33C2×#14556618C2211yescharacteristic
34C2×#14556617C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C22×#11924016C2211yescharacteristic
37#17989309C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989299—21no—
40#17989291—21no—
41#17989286—21no—
42#17989280—21no—
43#17989257C2211yescharacteristic
44D4×Dic146C2211yescharacteristic
45#17989248C2211yescharacteristic, complemented
46#17989246C2211yescharacteristic, complemented
47#17989243—21no—
48#17989243C2211yescharacteristic, complemented
49#17989241C2211yescharacteristic
50#17989239C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic
52#17989237C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989231—21no—
55#17989224—21no—
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic
59#17989207—21no—
60#17989201—21no—
61#17989164—21no—
62#17989141C2211yescharacteristic, complemented
63#17989139C2211yescharacteristic, complemented
64#17989136C2211yescharacteristic, complemented
65#17989135C2211yescharacteristic
66#17989133C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989132C2211yescharacteristic
69#17989132C2211yescharacteristic, complemented
70C2×#14556589C2211yescharacteristic, complemented
71#17989097—21no—
72#17989093—21no—
73#17989093—21no—
74#17989066—21no—
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic
77C2×D4×Dic73C2211yescharacteristic
78C4×D4×D73C2211yescharacteristic
79#17988975C2211yescharacteristic, complemented
80#17988974C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988901C2211yescharacteristic, complemented
95#17988898C2211yescharacteristic, complemented
96#17988883C2211yescharacteristic, complemented
97#17988882C2211yescharacteristic, complemented
98#17988881C2211yescharacteristic, complemented
99#17988880C2211yescharacteristic, complemented
100#17988866C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988865C2211yescharacteristic
103#17988865C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988833C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988832C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988823C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988804C2211yescharacteristic
117#17988804C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic
120#17988800C2211yescharacteristic
121#17988800C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic
126#17988790C2211yescharacteristic
127#17988790C2211yescharacteristic
128#17988790C2211yescharacteristic
129#17988790C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988784C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic, complemented
139#17988781C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic
145#17988738C2211yescharacteristic
146#17988736C2211yescharacteristic
147#17988734C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic, complemented
152#17988729C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988728C2211yescharacteristic, complemented
155#17988726C2211yescharacteristic, complemented
156#17988725C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic
162#17988688C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic
164#17988685C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic
166#17988684C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic
168D8×Dic73C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988659C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186C2×#14556516C2211yescharacteristic, complemented
187C2×#14556515C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C22×SD16×C73C2211yescharacteristic
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027—48no—
214C2×#11924027D411yescharacteristic
215C2×#11924027C2311yescharacteristic
216C22×Dic146—21no—
217C22×Dic146C2311yescharacteristic
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C2×D4×D73C2311yescharacteristic
221C23×Dic73—21no—
222C23×Dic73—21no—
223C22×C4×D73—21no—
224#14556618—42no—
225#14556617—42no—
226#14556615—42no—
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016—42no—
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C22×#10596831C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589—21no—
252#14556589—21no—
253#14556589C2311yescharacteristic
254#14556589C2311yescharacteristic
255#14556589C2311yescharacteristic
256#14556589C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556586—21no—
261#14556585—21no—
262#14556584—21no—
263#14556584—21no—
264#14556581—21no—
265#14556581—21no—
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578—21no—
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567C2311yescharacteristic
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556562—21no—
322#14556562—21no—
323#14556562C2311yescharacteristic
324#14556562C2311yescharacteristic
325#14556560—21no—
326#14556560—21no—
327#14556559—21no—
328#14556559—21no—
329Q8×Dic73C2311yescharacteristic
330C4×Dic146—21no—
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556D411yescharacteristic
335#14556556C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73—21no—
342D4×Dic73—21no—
343D4×Dic73D411yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551D411yescharacteristic
368#14556551D411yescharacteristic
369#14556549D411yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547D411yescharacteristic
375#14556547D411yescharacteristic
376C2×C4⋊Dic73C2311yescharacteristic
377C2×C4⋊Dic73C2311yescharacteristic
378C2×#11924007—21no—
379C2×#11924007—21no—
380C2×#11924007—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C2×C22⋊Dic73—21no—
384C2×C22⋊Dic73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73C2311yescharacteristic
387C2×C4×Dic73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556525C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73—21no—
443C22×D4×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445AGL(1,ℤ/8)×C73—42no—
446C2×SD16×C73—42no—
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×M16×C73C2311yescharacteristic
457C22×C8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#124×C73—21no—
460#124×C73C2311yescharacteristic
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#120×C73—21no—
469#120×C73—21no—
470C4×Q8×C73C2311yescharacteristic
471C4×D4×C73—21no—
472C4×D4×C73C2311yescharacteristic
473C4×D4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—24no—
491#11924027—41no—
492#11924027—41no—
493#11924027—44no—
494#11924027—44no—
495#11924027—44no—
496#11924027—44no—
497#11924027—44no—
498#11924027—44no—
499#11924027—44no—
500#11924027—44no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—41no—
507C2×Dic146—41no—
508C2×Dic146—44no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2411yescharacteristic
511C2×Dic146C2411yescharacteristic
512C2×D292—21no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—44no—
530C2×C22⋊D73—44no—
531C2×C22⋊D73C2×D411yescharacteristic
532C2×C22⋊D73C2×D411yescharacteristic
533D4×D73—22no—
534D4×D73—41no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—44no—
548C22×Dic73—44no—
549C22×Dic73C2×D411yescharacteristic
550C22×Dic73C2×D411yescharacteristic
551C22×Dic73C2×D411yescharacteristic
552C22×Dic73C2×D411yescharacteristic
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—44no—
560C2×C4×D73C2×D411yescharacteristic
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2411yescharacteristic
563#11924017—41no—
564#11924017—41no—
565#11924016—22no—
566#11924016—22no—
567#11924016—41no—
568#11924016—41no—
569#11924016—41no—
570#11924016—41no—
571#11924015—41no—
572#11924015—41no—
573D584—41no—
574#11924013—22no—
575#11924013—41no—
576#11924013—41no—
577#11924013—41no—
578#11924012—41no—
579#11924011—41no—
580#11924011—41no—
581C2×#10596831—41no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73C2×D411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73C2×D411yescharacteristic
630C22⋊Dic73C2×D411yescharacteristic
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C24×C73—21no—
658C24×C73—21no—
659#41×C73—41no—
660#41×C73—41no—
661C2×Q8×C73—21no—
662C2×Q8×C73—41no—
663C2×Q8×C73—41no—
664C2×Q8×C73C2411yescharacteristic
665C2×Q8×C73C2411yescharacteristic
666C2×D4×C73—22no—
667C2×D4×C73—22no—
668C2×D4×C73—21no—
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—41no—
677C2×D4×C73—41no—
678C2×D4×C73—44no—
679C2×D4×C73C2×D411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C2×D4×C73C2411yescharacteristic
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689SD16×C73—22no—
690SD16×C73—22no—
691SD16×C73—41no—
692SD16×C73—41no—
693SD16×C73—41no—
694SD16×C73—41no—
695D8×C73—22no—
696D8×C73—41no—
697D8×C73—41no—
698M16×C73—41no—
699C2×C8×C73—41no—
700C2×C8×C73C2411yescharacteristic
701C2×C8×C73C2411yescharacteristic
702C2×C8×C73C2411yescharacteristic
703C2×C8×C73C2411yescharacteristic
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73C2×D411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73C2×D411yescharacteristic
717C22⋊C4×C73C2×D411yescharacteristic
718C42×C73—21no—
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—42no—
725C23×C73—42no—
726C23×C73—42no—
727C23×C73—42no—
728C23×C73—81no—
729C23×C73—81no—
730C23×C73C22×D411yescharacteristic
731C23×C73C22×D411yescharacteristic
732C22×D73—21no—
733C22×D73—21no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—81no—
737C22×D73C22×D411yescharacteristic
738Q8×C73—21no—
739Q8×C73—21no—
740Q8×C73—21no—
741Q8×C73—21no—
742Q8×C73—81no—
743D4×C73—22no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—42no—
752D4×C73—42no—
753D4×C73—42no—
754D4×C73—42no—
755D4×C73—42no—
756D4×C73—42no—
757D4×C73—81no—
758D4×C73—81no—
759D4×C73H(5,𝔽2)12yes—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—42no—
769C2×C4×C73—81no—
770C2×C4×C73—81no—
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C2511yescharacteristic
776C22⋊D73—22no—
777C22⋊D73—22no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C22⋊D73—81no—
792C2×Dic73—22no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—41no—
800C2×Dic73—41no—
801C2×Dic73—42no—
802C2×Dic73—42no—
803C2×Dic73—42no—
804C2×Dic73—42no—
805C2×Dic73—42no—
806C2×Dic73—42no—
807C2×Dic73—42no—
808C2×Dic73—42no—
809C2×Dic73—42no—
810C2×Dic73—42no—
811C2×Dic73—81no—
812C2×Dic73—81no—
813C2×Dic73AGL(1,ℤ/8)14yescomplemented
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821D292—21no—
822D292—21no—
823D292—21no—
824D292—21no—
825D292—81no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—22no—
829C4×D73—41no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—81no—
835C4×D73—81no—
836Dic146—22no—
837Dic146—21no—
838Dic146—21no—
839Dic146—21no—
840Dic146—21no—
841Dic146—42no—
842Dic146—42no—
843Dic146—42no—
844Dic146—42no—
845Dic146—81no—
846C8×C73—21no—
847C8×C73—21no—
848C8×C73—21no—
849C8×C73—21no—
850#10596831—21no—
851#10596831—21no—
852#10596831—21no—
853#10596831—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—22no—
858C22×C73—21no—
859C22×C73—21no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—84no—
872C22×C73—84no—
873C22×C73C2×AGL(1,ℤ/8)12yes—
874C22×C73C23×D411yescharacteristic
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—84no—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—21no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73C2×H(5,𝔽2)11yescharacteristic
894C4×C73#58511yescharacteristic
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—21no—
899Dic73—21no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73C2×AGL(1,ℤ/8)12yes—
907Dic73C2×AGL(1,ℤ/8)12yes—
908#61962—731nomaximal, Sylow
909C2×C73—22no—
910C2×C73—42no—
911C2×C73—41no—
912C2×C73—81no—
913C2×C73—81no—
914C2×C73—81no—
915C2×C73#348811yescharacteristic
916C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
917C2×C73#358611yescharacteristic
918D73—41no—
919D73—81no—
920D73—81no—
921#3511—731no—
922D4×#41—731no—
923#3397—731no—
924#3397—731no—
925#3367—731no—
926#3367—731no—
927#3330—731no—
928#3330—731no—
929#3308—731no—
930#3308—731no—
931#3308—731no—
932#3308—731no—
933#3272—731no—
934#3272—731no—
935#3265—731no—
936#3265—731no—
937#3265—731no—
938#3265D7311yescharacteristic, complemented
939#3254—731no—
940#3254—731no—
941#3245—731no—
942#3214—731no—
943#3214—731no—
944#3206—731no—
945#3110—731no—
946#3110—731no—
947#3100—731no—
948#3036—731no—
949#3036—731no—
950C2×#461—731no—
951#2989—731no—
952C73#6196211yescharacteristic, complemented, Sylow
953C22×#41—1461no—
954C2×AGL(1,ℤ/8)—731no—
955C2×AGL(1,ℤ/8)—731no—
956C2×AGL(1,ℤ/8)—731no—
957C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
958C22×SD16—731no—
959C22×SD16C2×D7311yescharacteristic
960#556—731no—
961#556—731no—
962#555—1461no—
963#554—1461no—
964#553—1461no—
965#553—1461no—
966#550—731no—
967D4×Q8—731no—
968#548—731no—
969#548—731no—
970#548—731no—
971#548—1461no—
972#548C2×D7311yescharacteristic, complemented
973#547—731no—
974#547—731no—
975#547—731no—
976#547—731no—
977#547—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—731no—
983D42C2×D7311yescharacteristic
984#542—1461no—
985#542—1461no—
986#537—1461no—
987#533—731no—
988#533—731no—
989#532—731no—
990#532—731no—
991#532—731no—
992#532—731no—
993#532—731no—
994#532—731no—
995C2×C4⋊Q8—731no—
996#525—1461no—
997#525—1461no—
998#525—1461no—
999#520—1461no—
1000C4×#41—731no—
1001C2×C4×D4—731no—
1002C2×C4×D4—731no—
1003C2×C4×D4—731no—
1004#496—731no—
1005#496—731no—
1006#496—731no—
1007#496C2×D7311yescharacteristic, complemented
1008#492—731no—
1009#492—731no—
1010#489—731no—
1011#489—731no—
1012#489—731no—
1013#489—731no—
1014#487—731no—
1015#487—731no—
1016#484—731no—
1017#484—731no—
1018#484—731no—
1019#484—731no—
1020#480—731no—
1021#480—731no—
1022#477—731no—
1023#477—731no—
1024#477—731no—
1025#477—731no—
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#474—731no—
1030#474—731no—
1031#474—731no—
1032#468—731no—
1033#468—731no—
1034#468—731no—
1035#468—731no—
1036#468—731no—
1037#468—731no—
1038#468—731no—
1039#468C2×D7311yescharacteristic, complemented
1040#466—731no—
1041#466—731no—
1042#466—731no—
1043#466C2×D7311yescharacteristic, complemented
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463C2×D7311yescharacteristic
1052#461—731no—
1053#461—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#461—731no—
1058#461—731no—
1059#461—731no—
1060#461—731no—
1061#461—731no—
1062#461—731no—
1063#461—731no—
1064#460—731no—
1065#460—731no—
1066#460—731no—
1067#460C2×D7311yescharacteristic, complemented
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#450—731no—
1075#450—731no—
1076#450—731no—
1077#450C2×D7311yescharacteristic
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#449—731no—
1082#449—731no—
1083#449—731no—
1084#449—731no—
1085#449C2×D7311yescharacteristic, complemented
1086#448—731no—
1087#448—731no—
1088#448—731no—
1089#448C2×D7311yescharacteristic, complemented
1090#447—731no—
1091#447C2×D7311yescharacteristic
1092#446—731no—
1093#446—731no—
1094#440—731no—
1095#440—731no—
1096#440—731no—
1097#440—731no—
1098#440—731no—
1099#440—731no—
1100#440—731no—
1101#440C2×D7311yescharacteristic
1102C4×D8—731no—
1103C4×D8—731no—
1104C4×D8—731no—
1105C4×D8—731no—
1106#436—731no—
1107#436—731no—
1108#435—731no—
1109#435—731no—
1110#435—731no—
1111#435C2×D7311yescharacteristic, complemented
1112#432—731no—
1113#432—731no—
1114#431—731no—
1115#423—731no—
1116#423—731no—
1117C2×C4⋊C8—731no—
1118#417—731no—
1119#417—731no—
1120#417—731no—
1121#417—731no—
1122C2×#103—731no—
1123C2×#103—731no—
1124C2×#41—2928no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—731no—
1128C2×#41—731no—
1129C2×#41—1461no—
1130C2×#41—1461no—
1131C2×#41—1461no—
1132C2×#41—1461no—
1133C2×#41—1461no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C2×#41—1461no—
1137C2×#41C22×D7311yescharacteristic
1138C22×Q8—731no—
1139C22×Q8—1461no—
1140C22×Q8C22×D7311yescharacteristic
1141C22×D4—21no—
1142C22×D4—731no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4C22×D7311yescharacteristic
1146C22×D4C22×D7311yescharacteristic
1147C23×C4—1461no—
1148C23×C4—1461no—
1149C23×C4—1461no—
1150AGL(1,ℤ/8)—42no—
1151AGL(1,ℤ/8)—2922no—
1152AGL(1,ℤ/8)—2922no—
1153AGL(1,ℤ/8)—2922no—
1154C2×SD16—42no—
1155C2×SD16—2922no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16—731no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16C22×D7311yescharacteristic
1167C2×SD16C22×D7311yescharacteristic
1168C2×SD16C22×D7311yescharacteristic
1169C2×SD16C22×D7311yescharacteristic
1170C2×SD16C22×D7311yescharacteristic
1171C2×SD16C22×D7311yescharacteristic
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8—731no—
1175C2×D8—731no—
1176C2×D8—731no—
1177C2×D8C22×D7311yescharacteristic
1178C2×D8C22×D7311yescharacteristic
1179C2×D8C22×D7311yescharacteristic
1180C2×M16—731no—
1181C2×M16—731no—
1182C2×M16—731no—
1183C2×M16C22×D7311yescharacteristic
1184C22×C8—731no—
1185C22×C8C22×D7311yescharacteristic
1186C4⋊Q8—731no—
1187C4⋊Q8—731no—
1188C4⋊Q8—731no—
1189C4⋊Q8—731no—
1190C4⋊Q8—731no—
1191C4⋊Q8—731no—
1192C4⋊Q8—731no—
1193C4⋊Q8—731no—
1194C4⋊Q8—1461no—
1195C4⋊Q8—1461no—
1196#127—731no—
1197#127—731no—
1198#127—731no—
1199#127C22×D7311yescharacteristic
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#126—1461no—
1204#125—1461no—
1205#125—1461no—
1206#124—21no—
1207#124—731no—
1208#124—731no—
1209#124—731no—
1210#124—1461no—
1211#124—1461no—
1212#124—1461no—
1213#124—1461no—
1214#124—1461no—
1215#124—1461no—
1216#124—1461no—
1217#124C22×D7311yescharacteristic
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228C22⋊Q8—21no—
1229C22⋊Q8—731no—
1230C22⋊Q8—731no—
1231C22⋊Q8—731no—
1232C22⋊Q8—1461no—
1233C22⋊Q8—1461no—
1234C22⋊Q8—1461no—
1235C22⋊Q8—1461no—
1236C22⋊Q8—1461no—
1237C22⋊Q8—1461no—
1238C22⋊Q8—1461no—
1239C22⋊Q8—1461no—
1240C22⋊Q8—1461no—
1241C22⋊Q8—1461no—
1242C22⋊Q8—1461no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8C22×D7311yescharacteristic
1246#121—21no—
1247#121—21no—
1248#121—731no—
1249#121—731no—
1250#121—731no—
1251#121—731no—
1252#121—731no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121C22×D7311yescharacteristic
1272#121C22×D7311yescharacteristic
1273#121C22×D7311yescharacteristic
1274#120—21no—
1275#120—21no—
1276#120—1461no—
1277#120—1461no—
1278#120—1461no—
1279#120—1461no—
1280C4×Q8—731no—
1281C4×Q8—731no—
1282C4×Q8—731no—
1283C4×Q8—731no—
1284C4×Q8—731no—
1285C4×Q8—1461no—
1286C4×Q8—1461no—
1287C4×Q8C22×D7311yescharacteristic
1288C4×D4—21no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—731no—
1292C4×D4—731no—
1293C4×D4—731no—
1294C4×D4—731no—
1295C4×D4—731no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4C22×D7311yescharacteristic
1323C4×D4C22×D7311yescharacteristic
1324#117—731no—
1325#117—731no—
1326#117—731no—
1327#117—1461no—
1328#117—1461no—
1329#117—1461no—
1330#117—1461no—
1331C2×C4⋊C4—731no—
1332C2×C4⋊C4—731no—
1333C2×C4⋊C4—731no—
1334C2×C4⋊C4—1461no—
1335C2×C4⋊C4—1461no—
1336C2×C4⋊C4—1461no—
1337C2×C4⋊C4—1461no—
1338C2×C22⋊C4—1461no—
1339C2×C22⋊C4—1461no—
1340C2×C22⋊C4—1461no—
1341C2×C42—731no—
1342C2×C42—731no—
1343C2×C42—731no—
1344#107—731no—
1345#107—731no—
1346#107—731no—
1347#107—731no—
1348#107—731no—
1349#107—731no—
1350#107—731no—
1351#107C22×D7311yescharacteristic
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8—731no—
1356C4⋊C8—731no—
1357C4⋊C8—731no—
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8C22×D7311yescharacteristic
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103C22×D7311yescharacteristic
1377#103C22×D7311yescharacteristic
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102C22×D7311yescharacteristic
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394C22⋊C8—731no—
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8C22×D7311yescharacteristic
1399C22⋊C8C22×D7311yescharacteristic
1400#97—731no—
1401#97—731no—
1402#97—731no—
1403#97C22×D7311yescharacteristic
1404C4×C8—731no—
1405C4×C8—731no—
1406C24—21no—
1407C24—21no—
1408C24—1461no—
1409#41—41no—
1410#41—41no—
1411#41—2921no—
1412#41—2921no—
1413#41—2924no—
1414#41—2924no—
1415#41—2924no—
1416#41—2924no—
1417#41—2924no—
1418#41—2924no—
1419#41—2924no—
1420#41—2924no—
1421#41—2921no—
1422#41—2921no—
1423#41—2921no—
1424#41—2921no—
1425#41—1464no—
1426C2×Q8—21no—
1427C2×Q8—41no—
1428C2×Q8—41no—
1429C2×Q8—2921no—
1430C2×Q8—2921no—
1431C2×Q8—2924no—
1432C2×Q8—731no—
1433C2×Q8—731no—
1434C2×Q8—731no—
1435C2×Q8—1461no—
1436C2×Q8—1461no—
1437C2×Q8—1461no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8C23×D7311yescharacteristic
1441C2×Q8C23×D7311yescharacteristic
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—41no—
1453C2×D4—41no—
1454C2×D4—44no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2921no—
1458C2×D4—731no—
1459C2×D4—731no—
1460C2×D4—731no—
1461C2×D4—731no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1462no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4D4×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C2×D4C23×D7311yescharacteristic
1481C2×D4C23×D7311yescharacteristic
1482C2×D4C23×D7311yescharacteristic
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—2924no—
1487C22×C4—2924no—
1488C22×C4—2924no—
1489C22×C4—731no—
1490C22×C4—731no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516SD16—22no—
1517SD16—22no—
1518SD16—41no—
1519SD16—41no—
1520SD16—41no—
1521SD16—41no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—2921no—
1525SD16—2921no—
1526SD16—2921no—
1527SD16—2921no—
1528SD16—2921no—
1529SD16—2921no—
1530SD16—1462no—
1531SD16—1462no—
1532D8—22no—
1533D8—41no—
1534D8—41no—
1535D8—2921no—
1536D8—2921no—
1537D8—2921no—
1538D8—2921no—
1539D8—1462no—
1540M16—41no—
1541M16—2921no—
1542M16—2921no—
1543M16—2921no—
1544C2×C8—41no—
1545C2×C8—2921no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8—731no—
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C2×C8C23×D7311yescharacteristic
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4D4×D7311yescharacteristic
1587C4⋊C4C23×D7311yescharacteristic
1588C4⋊C4C23×D7311yescharacteristic
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4D4×D7311yescharacteristic
1626C22⋊C4D4×D7311yescharacteristic
1627C42—21no—
1628C42—731no—
1629C42—731no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—731no—
1635C42—731no—
1636C42—731no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42C23×D7311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—42no—
1647C23—42no—
1648C23—42no—
1649C23—81no—
1650C23—81no—
1651C23—2922no—
1652C23—2922no—
1653C23—5841no—
1654C23—731no—
1655C23—1461no—
1656C23—1461no—
1657C23C2×D4×D7311yescharacteristic
1658C23C2×D4×D7311yescharacteristic
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—81no—
1664Q8—2922no—
1665Q8—2922no—
1666Q8—2922no—
1667Q8—2922no—
1668Q8—5841no—
1669Q8—1462no—
1670Q8—1461no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8—1461no—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—42no—
1684D4—42no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—81no—
1690D4—2922no—
1691D4—2922no—
1692D4—2922no—
1693D4—2922no—
1694D4—2922no—
1695D4—2922no—
1696D4—2922no—
1697D4—2922no—
1698D4—2922no—
1699D4—2922no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—1462no—
1706D4—1462no—
1707D4—1461no—
1708D4—1461no—
1709D4—1461no—
1710D4—1461no—
1711D4#1455663612yes—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—42no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—2922no—
1724C2×C4—2921no—
1725C2×C4—2922no—
1726C2×C4—2922no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2922no—
1732C2×C4—2922no—
1733C2×C4—2922no—
1734C2×C4—2922no—
1735C2×C4—2922no—
1736C2×C4—2922no—
1737C2×C4—2922no—
1738C2×C4—2921no—
1739C2×C4—2921no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—731no—
1745C2×C4—731no—
1746C2×C4—734no—
1747C2×C4—731no—
1748C2×C4—731no—
1749C2×C4—731no—
1750C2×C4—731no—
1751C2×C4—731no—
1752C2×C4—1462no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1462no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4C2×D4×D7311yescharacteristic
1763C2×C4C2×D4×D7311yescharacteristic
1764C2×C4C2×D4×D7311yescharacteristic
1765C2×C4C2×D4×D7311yescharacteristic
1766C2×C4C24×D7311yescharacteristic
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—1461no—
1772C8—1461no—
1773C8—1461no—
1774C8—1461no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—22no—
1779C22—21no—
1780C22—21no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—84no—
1793C22—84no—
1794C22—2921no—
1795C22—2921no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—5844no—
1801C22—1461no—
1802C22—1461no—
1803C22—1461no—
1804C22AGL(1,ℤ/8)×D7312yes—
1805C22C22×D4×D7311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—2921no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—732no—
1821C4—732no—
1822C4—1461no—
1823C4—1461no—
1824C4—1461no—
1825C4—1461no—
1826C4—1461no—
1827C4C2×#1455663611yescharacteristic
1828C4#1798942211yescharacteristic
1829C2—22no—
1830C2—41no—
1831C2—42no—
1832C2—81no—
1833C2—81no—
1834C2—81no—
1835C2—2921no—
1836C2—5841no—
1837C2—5841no—
1838C2#2262359111yescharacteristic
1839C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1840C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61962
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22623837C2semidirect
2. D4×#11924027C2semidirect
3. #22622948C2semidirect
4. #22622946C2semidirect
5. #22622650C2semidirect
6. #22622644C2semidirect
7. #22622231C2semidirect
8. #22622229C2semidirect
9. #22621928C2semidirect
10. #22621926C2semidirect
11. #22621924C2semidirect
12. #22621922C2semidirect
13. #22621529C2semidirect
14. #22621525C2semidirect
15. #22621430C2semidirect
16. #22621426C2semidirect
17. #22621422C2semidirect
18. #22621316C2semidirect
19. #22621313C2semidirect
20. #22621237C2semidirect
21. #22620923C2semidirect
22. #22620921C2semidirect
23. #22620854C2semidirect
24. #22620028C2semidirect
25. #22620025C2semidirect
26. #22619926C2semidirect
27. #22619393C2semidirect
28. #22619392C2semidirect
29. C2×#17988790C2semidirect
30. #22619043C2semidirect
31. C73×#3265C2semidirect
37. #17989309C22semidirect
38. #17989306C22semidirect
45. #17989248C22semidirect
46. #17989246C22semidirect
48. #17989243C22semidirect
50. #17989239C22semidirect
53. #17989236C22semidirect
62. #17989141C22semidirect
63. #17989139C22semidirect
64. #17989136C22semidirect
66. #17989133C22semidirect
69. #17989132C22semidirect
70. C2×#14556589C22semidirect
79. #17988975C22semidirect
80. #17988974C22semidirect
81. #17988973C22semidirect
82. #17988958C22semidirect
83. #17988958C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988946C22semidirect
87. #17988945C22semidirect
88. #17988936C22semidirect
89. #17988936C22semidirect
90. #17988924C22semidirect
91. #17988923C22semidirect
92. #17988921C22semidirect
93. #17988920C22semidirect
94. #17988901C22semidirect
95. #17988898C22semidirect
96. #17988883C22semidirect
97. #17988882C22semidirect
98. #17988881C22semidirect
99. #17988880C22semidirect
100. #17988866C22semidirect
101. #17988866C22semidirect
103. #17988865C22semidirect
104. #17988865C22semidirect
105. #17988865C22semidirect
106. #17988835C22semidirect
107. #17988833C22semidirect
108. #17988832C22semidirect
109. #17988832C22semidirect
110. #17988831C22semidirect
111. #17988830C22semidirect
112. #17988830C22semidirect
113. #17988823C22semidirect
114. #17988821C22semidirect
115. #17988821C22semidirect
117. #17988804C22semidirect
118. #17988803C22semidirect
121. #17988800C22semidirect
122. #17988799C22semidirect
123. #17988791C22semidirect
124. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988790C22semidirect
131. #17988790C22semidirect
132. #17988790C22semidirect
133. #17988790C22semidirect
134. #17988790C22semidirect
135. #17988786C22semidirect
136. #17988785C22semidirect
137. #17988784C22semidirect
138. #17988781C22semidirect
139. #17988781C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
147. #17988734C22semidirect
148. #17988732C22semidirect
149. #17988731C22semidirect
150. #17988731C22semidirect
151. #17988730C22semidirect
152. #17988729C22semidirect
153. #17988729C22semidirect
154. #17988728C22semidirect
155. #17988726C22semidirect
156. #17988725C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988689C22semidirect
162. #17988688C22semidirect
164. #17988685C22semidirect
166. #17988684C22semidirect
168. D8×Dic73C22semidirect
170. #17988667C22semidirect
171. #17988663C22semidirect
172. #17988662C22semidirect
173. #17988659C22semidirect
174. #17988658C22semidirect
175. #17988655C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. #17988609C22semidirect
181. C2×#14556520C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. #17988587C22semidirect
185. #17988585C22semidirect
186. C2×#14556516C22semidirect
187. C2×#14556515C22semidirect
190. #548×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
196. #460×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
202. #435×C73C22semidirect
813. C2×Dic73AGL(1,ℤ/8)semidirect
938. #3265D73semidirect
952. C73#61962semidirect
972. #548C2×D73semidirect
1007. #496C2×D73semidirect
1039. #468C2×D73semidirect
1043. #466C2×D73semidirect
1067. #460C2×D73semidirect
1085. #449C2×D73semidirect
1089. #448C2×D73semidirect
1111. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238372
D4×#119240272
#226229482
#226229462
#226226502
#226226442
#226222312
#226222292
#226219282
#226219262
#226219242
#226219222
#226215292
#226215252
#226214302
#226214262
#226214222
#226213162
#226213132
#226212372
#226209232
#226209212
#226208542
#226200282
#226200252
#226199262
#226193932
#226193922
C2×#179887902
#226190432
C73×#32652
#6196273