Finite Group Databasebeta

← #33978670

Subgroups — #33978670

Order 18688.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623532C211yesmaximal, characteristic, complemented
3#22623016C211yesmaximal, characteristic, complemented
4#22623014C211yesmaximal, characteristic, complemented
5#22622689C211yesmaximal, characteristic, complemented
6#22622681C211yesmaximal, characteristic, complemented
7#22622014C211yesmaximal, characteristic, complemented
8#22622012C211yesmaximal, characteristic, complemented
9#22621932C211yesmaximal, characteristic, complemented
10#22621930C211yesmaximal, characteristic, complemented
11#22621787C211yesmaximal, characteristic, complemented
12#22621785C211yesmaximal, characteristic, complemented
13#22621616C211yesmaximal, characteristic, complemented
14#22621609C211yesmaximal, characteristic, complemented
15#22621469C211yesmaximal, characteristic, complemented
16#22621465C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22621286C211yesmaximal, characteristic, complemented
19#22621261C211yesmaximal, characteristic, complemented
20#22621239C211yesmaximal, characteristic, complemented
21#22620947C211yesmaximal, characteristic, complemented
22#22620921C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620078C211yesmaximal, characteristic, complemented
25#22620025C211yesmaximal, characteristic, complemented
26#22619926C211yesmaximal, characteristic, complemented
27#22619392C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29C2×#17988780C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic, complemented
33C2×#14556612C2211yescharacteristic, complemented
34C2×#14556610C2211yescharacteristic, complemented
35C22×#11924013C2211yescharacteristic
36#17989323C2211yescharacteristic, complemented
37#17989321—21no—
38#17989320C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989294C2211yescharacteristic
41#17989294C2211yescharacteristic, complemented
42#17989289—21no—
43#17989289C2211yescharacteristic
44#17989289C2211yescharacteristic, complemented
45#17989268—21no—
46#17989268—21no—
47#17989256C2211yescharacteristic, complemented
48#17989255—21no—
49#17989255C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic
51#17989231—21no—
52#17989231C2211yescharacteristic
53#17989231C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic, complemented
55#17989228C2211yescharacteristic, complemented
56#17989227—21no—
57#17989224—21no—
58#17989189—21no—
59#17989187—21no—
60#17989152—21no—
61#17989139C2211yescharacteristic, complemented
62#17989136C2211yescharacteristic, complemented
63#17989135C2211yescharacteristic, complemented
64#17989134C2211yescharacteristic, complemented
65#17989133C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic, complemented
67C2×#14556587C2211yescharacteristic, complemented
68#17989118—21no—
69#17989118C2211yescharacteristic
70#17989118C2211yescharacteristic, complemented
71#17989093—21no—
72#17989093—21no—
73#17989060—21no—
74C4×#11924027C2211yescharacteristic
75C4×#11924027C2211yescharacteristic, complemented
76C2×D4×Dic73—21no—
77C2×D4×Dic73C2211yescharacteristic
78C2×D4×Dic73C2211yescharacteristic, complemented
79#17988975C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic, complemented
82#17988970C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988901C2211yescharacteristic, complemented
95#17988898C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988871C2211yescharacteristic, complemented
101#17988868C2211yescharacteristic, complemented
102#17988867C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988833C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988828C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988820C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic
116#17988810C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988786C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic, complemented
133#17988780C2211yescharacteristic
134#17988780C2211yescharacteristic
135#17988780C2211yescharacteristic
136#17988780C2211yescharacteristic
137#17988780C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988740C2211yescharacteristic, complemented
147#17988738C2211yescharacteristic
148#17988738C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic
200#447×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027D411yescharacteristic
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C23×Dic73—21no—
215C23×Dic73—21no—
216#14556617—42no—
217#14556612—42no—
218#14556610—42no—
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924013—42no—
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924012C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556591C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556589C2311yescharacteristic
242#14556587—21no—
243#14556587—21no—
244#14556587—21no—
245#14556587—21no—
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556582—21no—
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556580C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556578—21no—
261#14556578—21no—
262#14556578C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575—21no—
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556565—21no—
296#14556565C2311yescharacteristic
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556561—21no—
317#14556560—21no—
318#14556560—21no—
319#14556560—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324#14556556—21no—
325#14556556D411yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73D411yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551D411yescharacteristic
365#14556551D411yescharacteristic
366#14556549D411yescharacteristic
367#14556549C2311yescharacteristic
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C2×C4⋊Dic73—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C2×C4⋊Dic73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×C22⋊Dic73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×D4×C73—21no—
441C22×D4×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444AGL(1,ℤ/8)×C73—42no—
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73—42no—
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456C22×C8×C73C2311yescharacteristic
457#127×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468#120×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—82no—
490#11924027—22no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—42no—
495#11924027—82no—
496#11924027—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
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—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—44no—
525C2×C22⋊D73—82no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—82no—
541C22×Dic73—82no—
542C22×Dic73C2×D411yescharacteristic
543C22×Dic73C2×D411yescharacteristic
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553Dic292—41no—
554#11924018—41no—
555#11924017—41no—
556#11924017—41no—
557#11924016—22no—
558#11924016—41no—
559#11924016—41no—
560#11924016—41no—
561#11924016—41no—
562#11924013—22no—
563#11924013—22no—
564#11924013—41no—
565#11924013—41no—
566#11924013—41no—
567#11924013—41no—
568#11924012—41no—
569C2×#10596831—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—41no—
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73C2×D411yescharacteristic
623C22⋊Dic73C2×D411yescharacteristic
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C24×C73—21no—
650C24×C73—21no—
651C24×C73—21no—
652#41×C73—41no—
653#41×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
656C2×D4×C73—22no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—41no—
667C2×D4×C73—41no—
668C2×D4×C73—41no—
669C2×D4×C73—41no—
670C2×D4×C73—44no—
671C2×D4×C73C2×D411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C2×D4×C73C2411yescharacteristic
676C2×D4×C73C2411yescharacteristic
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73—21no—
680C22×C4×C73C2411yescharacteristic
681C22×C4×C73C2411yescharacteristic
682SD16×C73—22no—
683SD16×C73—41no—
684SD16×C73—41no—
685D8×C73—22no—
686D8×C73—22no—
687D8×C73—41no—
688D8×C73—41no—
689D8×C73—41no—
690D8×C73—41no—
691M16×C73—41no—
692C2×C8×C73—41no—
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73C2×D411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73C2×D411yescharacteristic
710C22⋊C4×C73C2×D411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C23×C73—42no—
718C23×C73—42no—
719C23×C73—42no—
720C23×C73—42no—
721C23×C73—42no—
722C23×C73—81no—
723C23×C73—81no—
724C23×C73—81no—
725C23×C73—81no—
726C23×C73C22×D411yescharacteristic
727C23×C73C22×D411yescharacteristic
728C22×D73—21no—
729C22×D73—21no—
730C22×D73—42no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73C22×D411yescharacteristic
734Q8×C73—21no—
735Q8×C73—21no—
736D4×C73—22no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—42no—
747D4×C73—42no—
748D4×C73—42no—
749D4×C73—42no—
750D4×C73—42no—
751D4×C73—81no—
752D4×C73—81no—
753D4×C73—81no—
754D4×C73—81no—
755D4×C73H(5,𝔽2)12yes—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—42no—
764C2×C4×C73—81no—
765C2×C4×C73—81no—
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C2511yescharacteristic
771C22⋊D73—22no—
772C22⋊D73—41no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C2×Dic73—22no—
789C2×Dic73—22no—
790C2×Dic73—22no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—41no—
798C2×Dic73—42no—
799C2×Dic73—42no—
800C2×Dic73—42no—
801C2×Dic73—42no—
802C2×Dic73—81no—
803C2×Dic73—81no—
804C2×Dic73—81no—
805C2×Dic73—81no—
806C2×Dic73—81no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73—81no—
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—81no—
822D292—81no—
823D292—81no—
824C4×D73—21no—
825C4×D73—21no—
826C4×D73—22no—
827C4×D73—41no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832Dic146—21no—
833Dic146—21no—
834Dic146—21no—
835Dic146—21no—
836Dic146—41no—
837Dic146—42no—
838Dic146—81no—
839C8×C73—21no—
840C8×C73—21no—
841C8×C73—21no—
842C8×C73—21no—
843#10596831—21no—
844#10596831—21no—
845#10596831—21no—
846#10596831—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—22no—
850C22×C73—21no—
851C22×C73—21no—
852C22×C73—21no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—84no—
868C22×C73—84no—
869C22×C73—162no—
870C22×C73#57512yes—
871C22×C73C23×D411yescharacteristic
872C2×D73—21no—
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—162no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73C2×H(5,𝔽2)11yescharacteristic
890C4×C73#58511yescharacteristic
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73#57612yes—
904#61977—731nomaximal, Sylow
905C2×C73—22no—
906C2×C73—41no—
907C2×C73—42no—
908C2×C73—81no—
909C2×C73—81no—
910C2×C73—81no—
911C2×C73—81no—
912C2×C73#348811yescharacteristic
913C2×C73C2×#57511yescharacteristic
914C2×C73C2×#57611yescharacteristic
915D73—41no—
916D73—81no—
917D73—81no—
918#3508—731no—
919#3481—731no—
920#3403—731no—
921#3403—731no—
922#3370—731no—
923#3370—731no—
924#3314—731no—
925#3314—731no—
926#3309—731no—
927#3309—731no—
928#3297—731no—
929#3297—731no—
930#3280—731no—
931#3280—731no—
932#3268—731no—
933#3268—731no—
934#3264—731no—
935#3264D7311yescharacteristic, complemented
936#3251—731no—
937#3248—731no—
938#3245—731no—
939#3217—731no—
940#3214—731no—
941#3212—731no—
942#3115—731no—
943#3110—731no—
944#3100—731no—
945#3036—731no—
946#3035—731no—
947C2×#459—731no—
948#2990—731no—
949C73#6197711yescharacteristic, complemented, Sylow
950C2×AGL(1,ℤ/8)—731no—
951C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
952C2×#135—731no—
953C2×#135—731no—
954C22×D8—731no—
955C22×D8C2×D7311yescharacteristic
956#559—731no—
957#559—731no—
958#559—731no—
959#559—1461no—
960#554—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#553—1461no—
965#551—1461no—
966#551—1461no—
967#550—731no—
968#550—731no—
969#550—1461no—
970#546—731no—
971#546—731no—
972#546—731no—
973#546—731no—
974#546—731no—
975#546—1461no—
976#546—1461no—
977#546—1461no—
978#546C2×D7311yescharacteristic
979D42C2×D7311yescharacteristic
980#540—1461no—
981#540—1461no—
982#535—1461no—
983#533—731no—
984#532—731no—
985#532—731no—
986#532—731no—
987#532—731no—
988#532—731no—
989C2×#127—731no—
990#529—731no—
991#529—731no—
992#529—1461no—
993#525—1461no—
994#525—1461no—
995#518—1461no—
996C4×#41—731no—
997C4×#41—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—1461no—
1001#496—731no—
1002#496—731no—
1003#496—731no—
1004#496C2×D7311yescharacteristic, complemented
1005#495—731no—
1006#495—731no—
1007#490—731no—
1008#490—731no—
1009#489—731no—
1010#489—731no—
1011#488—731no—
1012#488—731no—
1013#484—731no—
1014#484—731no—
1015#482—731no—
1016#482—731no—
1017#480—731no—
1018#480—731no—
1019#479—731no—
1020#479—731no—
1021#478—731no—
1022#478—731no—
1023#475—731no—
1024#474—731no—
1025#474—731no—
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#469—731no—
1030#469C2×D7311yescharacteristic, complemented
1031#468—731no—
1032#468—731no—
1033#467—731no—
1034#467—731no—
1035#466—731no—
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#465—731no—
1040#465C2×D7311yescharacteristic
1041#464—731no—
1042#464—731no—
1043#464—731no—
1044#464—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463—731no—
1052#463C2×D7311yescharacteristic, complemented
1053#462—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#460—731no—
1058#460—731no—
1059#459—731no—
1060#459—731no—
1061#459—731no—
1062#459—731no—
1063#459—731no—
1064#459—731no—
1065#459—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459C2×D7311yescharacteristic, complemented
1071#452—731no—
1072#452—731no—
1073#450—731no—
1074#450—731no—
1075#450—731no—
1076#450C2×D7311yescharacteristic
1077#449—731no—
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#449—731no—
1082#449—731no—
1083#449—731no—
1084#449C2×D7311yescharacteristic, complemented
1085#447—731no—
1086#447—731no—
1087#447C2×D7311yescharacteristic
1088#447C2×D7311yescharacteristic, complemented
1089#446—731no—
1090#446—731no—
1091#442—731no—
1092#442C2×D7311yescharacteristic, complemented
1093#440—731no—
1094#440—731no—
1095#440—731no—
1096#440—731no—
1097#440—731no—
1098#440—731no—
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8—731no—
1103#435—731no—
1104#435—731no—
1105#435—731no—
1106#435C2×D7311yescharacteristic
1107C8×D4—731no—
1108C8×D4—731no—
1109#432—731no—
1110#432—731no—
1111#431—731no—
1112#423—731no—
1113C2×C4⋊C8—731no—
1114C2×C4⋊C8—731no—
1115#417—731no—
1116#417—731no—
1117#416—731no—
1118#416—731no—
1119C2×#102—731no—
1120C2×#102—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41C22×D7311yescharacteristic
1130C22×D4—21no—
1131C22×D4—731no—
1132C22×D4—1461no—
1133C22×D4—1461no—
1134C22×D4C22×D7311yescharacteristic
1135C22×D4C22×D7311yescharacteristic
1136C22×D4C22×D7311yescharacteristic
1137C23×C4—1461no—
1138C23×C4—1461no—
1139AGL(1,ℤ/8)—42no—
1140AGL(1,ℤ/8)—2922no—
1141#135—2922no—
1142#135—2922no—
1143C2×Q16—731no—
1144C2×Q16—731no—
1145C2×SD16—731no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16—731no—
1152C2×SD16C22×D7311yescharacteristic
1153C2×SD16C22×D7311yescharacteristic
1154C2×SD16C22×D7311yescharacteristic
1155C2×D8—42no—
1156C2×D8—2922no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—731no—
1162C2×D8—731no—
1163C2×D8C22×D7311yescharacteristic
1164C2×D8C22×D7311yescharacteristic
1165C2×D8C22×D7311yescharacteristic
1166C2×D8C22×D7311yescharacteristic
1167C2×D8C22×D7311yescharacteristic
1168C2×D8C22×D7311yescharacteristic
1169C2×M16—731no—
1170C2×M16C22×D7311yescharacteristic
1171C22×C8—731no—
1172C22×C8—731no—
1173C22×C8—731no—
1174C22×C8C22×D7311yescharacteristic
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8—731no—
1178#127—731no—
1179#127—731no—
1180#127—731no—
1181#127—731no—
1182#127—1461no—
1183#127—1461no—
1184#127—1461no—
1185#127—1461no—
1186#127C22×D7311yescharacteristic
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#125—731no—
1192#125—731no—
1193#125—1461no—
1194#125—1461no—
1195#124—731no—
1196#124—731no—
1197#124—731no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124—1461no—
1206#124C22×D7311yescharacteristic
1207#123—21no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8C22×D7311yescharacteristic
1233#121—21no—
1234#121—21no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121C22×D7311yescharacteristic
1259#121C22×D7311yescharacteristic
1260#121C22×D7311yescharacteristic
1261#120—21no—
1262#120—21no—
1263#120—21no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—731no—
1274C4×Q8—731no—
1275C4×Q8—1461no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—731no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1315C4×D4C22×D7311yescharacteristic
1316C4×D4C22×D7311yescharacteristic
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—731no—
1321#117—1461no—
1322#117—1461no—
1323#117—1461no—
1324#117—1461no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—1461no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—1461no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C22⋊C4—1461no—
1335C2×C22⋊C4—1461no—
1336C2×C42—731no—
1337C2×C42—731no—
1338C2×C42—731no—
1339C2×C42—1461no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#107—731no—
1346#106—731no—
1347#106C22×D7311yescharacteristic
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8—731no—
1356C4⋊C8—731no—
1357C4⋊C8C22×D7311yescharacteristic
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103C22×D7311yescharacteristic
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102C22×D7311yescharacteristic
1386#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388#102C22×D7311yescharacteristic
1389#102C22×D7311yescharacteristic
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8—731no—
1394C22⋊C8C22×D7311yescharacteristic
1395C22⋊C8C22×D7311yescharacteristic
1396#97—731no—
1397#97—731no—
1398#97—731no—
1399#97C22×D7311yescharacteristic
1400C4×C8—731no—
1401C4×C8—731no—
1402C24—21no—
1403C24—21no—
1404C24—21no—
1405C24—1461no—
1406#41—41no—
1407#41—41no—
1408#41—2921no—
1409#41—2921no—
1410#41—2921no—
1411#41—2922no—
1412#41—2921no—
1413#41—2921no—
1414#41—2921no—
1415#41—2921no—
1416#41—5842no—
1417#41—5842no—
1418#41—5842no—
1419#41—1462no—
1420C2×Q8—731no—
1421C2×Q8—731no—
1422C2×Q8—731no—
1423C2×Q8—1461no—
1424C2×Q8—1461no—
1425C2×Q8C23×D7311yescharacteristic
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—44no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2924no—
1445C2×D4—5842no—
1446C2×D4—731no—
1447C2×D4—731no—
1448C2×D4—731no—
1449C2×D4—731no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4D4×D7311yescharacteristic
1469C2×D4C23×D7311yescharacteristic
1470C2×D4C23×D7311yescharacteristic
1471C2×D4C23×D7311yescharacteristic
1472C2×D4C23×D7311yescharacteristic
1473C2×D4C23×D7311yescharacteristic
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—5842no—
1478C22×C4—5842no—
1479C22×C4—731no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4C23×D7311yescharacteristic
1503C22×C4C23×D7311yescharacteristic
1504Q16—2921no—
1505Q16—2921no—
1506SD16—22no—
1507SD16—41no—
1508SD16—41no—
1509SD16—2921no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—2921no—
1515SD16—1462no—
1516D8—22no—
1517D8—22no—
1518D8—41no—
1519D8—41no—
1520D8—41no—
1521D8—41no—
1522D8—2921no—
1523D8—2921no—
1524D8—2921no—
1525D8—2921no—
1526D8—1462no—
1527D8—1462no—
1528M16—41no—
1529M16—2921no—
1530C2×C8—41no—
1531C2×C8—2921no—
1532C2×C8—2921no—
1533C2×C8—2921no—
1534C2×C8—731no—
1535C2×C8—731no—
1536C2×C8—731no—
1537C2×C8—731no—
1538C2×C8C23×D7311yescharacteristic
1539C2×C8C23×D7311yescharacteristic
1540C2×C8C23×D7311yescharacteristic
1541C2×C8C23×D7311yescharacteristic
1542C4⋊C4—21no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4D4×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1614C22⋊C4D4×D7311yescharacteristic
1615C42—731no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—731no—
1622C42—731no—
1623C42—731no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42—1461no—
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—42no—
1636C23—42no—
1637C23—42no—
1638C23—42no—
1639C23—42no—
1640C23—81no—
1641C23—81no—
1642C23—81no—
1643C23—81no—
1644C23—2922no—
1645C23—5841no—
1646C23—5841no—
1647C23—731no—
1648C23—1461no—
1649C23—1461no—
1650C23C2×D4×D7311yescharacteristic
1651C23C2×D4×D7311yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—2921no—
1655Q8—2922no—
1656Q8—5841no—
1657Q8—1461no—
1658Q8—1461no—
1659Q8—1461no—
1660Q8—1461no—
1661D4—22no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—42no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—2921no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—1462no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4#1455663612yes—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—42no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—2921no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2921no—
1721C2×C4—5841no—
1722C2×C4—5841no—
1723C2×C4—5841no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—5841no—
1732C2×C4—5841no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—1462no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1462no—
1748C2×C4—1462no—
1749C2×C4—1462no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4C2×D4×D7311yescharacteristic
1753C2×C4C2×D4×D7311yescharacteristic
1754C2×C4C2×D4×D7311yescharacteristic
1755C2×C4C2×D4×D7311yescharacteristic
1756C2×C4C24×D7311yescharacteristic
1757C8—21no—
1758C8—21no—
1759C8—21no—
1760C8—21no—
1761C8—1461no—
1762C8—1461no—
1763C8—1461no—
1764C8—1461no—
1765C22—21no—
1766C22—21no—
1767C22—21no—
1768C22—22no—
1769C22—21no—
1770C22—21no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—84no—
1786C22—84no—
1787C22—162no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—11682no—
1795C22—1461no—
1796C22—1461no—
1797C22—1461no—
1798C22#1798938312yes—
1799C22C22×D4×D7311yescharacteristic
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—2921no—
1808C4—2921no—
1809C4—2921no—
1810C4—2921no—
1811C4—2921no—
1812C4—2921no—
1813C4—732no—
1814C4—1461no—
1815C4—1461no—
1816C4—1461no—
1817C4—1461no—
1818C4—1461no—
1819C4—1461no—
1820C4C2×#1455663611yescharacteristic
1821C4#1798942211yescharacteristic
1822C2—22no—
1823C2—41no—
1824C2—42no—
1825C2—81no—
1826C2—81no—
1827C2—81no—
1828C2—81no—
1829C2—2921no—
1830C2—5841no—
1831C2—5841no—
1832C2#2262359111yescharacteristic
1833C2C2×#1798938311yescharacteristic
1834C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#61977
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623532C2semidirect
3. #22623016C2semidirect
4. #22623014C2semidirect
5. #22622689C2semidirect
6. #22622681C2semidirect
7. #22622014C2semidirect
8. #22622012C2semidirect
9. #22621932C2semidirect
10. #22621930C2semidirect
11. #22621787C2semidirect
12. #22621785C2semidirect
13. #22621616C2semidirect
14. #22621609C2semidirect
15. #22621469C2semidirect
16. #22621465C2semidirect
17. #22621407C2semidirect
18. #22621286C2semidirect
19. #22621261C2semidirect
20. #22621239C2semidirect
21. #22620947C2semidirect
22. #22620921C2semidirect
23. #22620904C2semidirect
24. #22620078C2semidirect
25. #22620025C2semidirect
26. #22619926C2semidirect
27. #22619392C2semidirect
28. #22619383C2semidirect
29. C2×#17988780C2semidirect
30. #22619051C2semidirect
31. C73×#3264C2semidirect
32. C2×#14556617C22semidirect
33. C2×#14556612C22semidirect
34. C2×#14556610C22semidirect
36. #17989323C22semidirect
38. #17989320C22semidirect
39. #17989319C22semidirect
41. #17989294C22semidirect
44. #17989289C22semidirect
47. #17989256C22semidirect
49. #17989255C22semidirect
53. #17989231C22semidirect
54. #17989231C22semidirect
55. #17989228C22semidirect
61. #17989139C22semidirect
62. #17989136C22semidirect
63. #17989135C22semidirect
64. #17989134C22semidirect
65. #17989133C22semidirect
66. #17989132C22semidirect
67. C2×#14556587C22semidirect
70. #17989118C22semidirect
75. C4×#11924027C22semidirect
78. C2×D4×Dic73C22semidirect
79. #17988975C22semidirect
80. #17988975C22semidirect
81. #17988974C22semidirect
82. #17988970C22semidirect
83. #17988968C22semidirect
84. #17988950C22semidirect
85. #17988950C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988923C22semidirect
91. #17988920C22semidirect
92. #17988913C22semidirect
93. #17988909C22semidirect
94. #17988901C22semidirect
95. #17988898C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988871C22semidirect
101. #17988868C22semidirect
102. #17988867C22semidirect
103. #17988865C22semidirect
104. #17988865C22semidirect
105. #17988865C22semidirect
106. #17988838C22semidirect
107. #17988833C22semidirect
108. #17988831C22semidirect
109. #17988828C22semidirect
110. #17988826C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
113. #17988820C22semidirect
114. #17988820C22semidirect
116. #17988810C22semidirect
117. #17988808C22semidirect
118. #17988807C22semidirect
119. #17988806C22semidirect
120. #17988804C22semidirect
121. #17988804C22semidirect
122. #17988802C22semidirect
123. #17988801C22semidirect
124. #17988800C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988796C22semidirect
128. #17988790C22semidirect
129. #17988790C22semidirect
130. #17988790C22semidirect
131. #17988786C22semidirect
132. #17988786C22semidirect
137. #17988780C22semidirect
138. #17988780C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988740C22semidirect
148. #17988738C22semidirect
149. #17988733C22semidirect
150. #17988731C22semidirect
151. #17988731C22semidirect
152. #17988730C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988721C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988697C22semidirect
161. #17988689C22semidirect
162. #17988688C22semidirect
163. #17988688C22semidirect
164. #17988687C22semidirect
165. #17988684C22semidirect
166. #17988684C22semidirect
167. D8×Dic73C22semidirect
168. D8×Dic73C22semidirect
169. #17988667C22semidirect
170. #17988667C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. C2×#14556513C22semidirect
187. C2×#14556512C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
192. #496×C73C22semidirect
193. #469×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
198. #449×C73C22semidirect
200. #447×C73C22semidirect
201. #442×C73C22semidirect
935. #3264D73semidirect
949. C73#61977semidirect
951. C2×AGL(1,ℤ/8)C2×D73semidirect
1004. #496C2×D73semidirect
1030. #469C2×D73semidirect
1052. #463C2×D73semidirect
1070. #459C2×D73semidirect
1084. #449C2×D73semidirect
1088. #447C2×D73semidirect
1092. #442C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235322
#226230162
#226230142
#226226892
#226226812
#226220142
#226220122
#226219322
#226219302
#226217872
#226217852
#226216162
#226216092
#226214692
#226214652
#226214072
#226212862
#226212612
#226212392
#226209472
#226209212
#226209042
#226200782
#226200252
#226199262
#226193922
#226193832
C2×#179887802
#226190512
C73×#32642
#6197773