Finite Group Databasebeta

← #33972814

Subgroups — #33972814

Order 18688.

2200 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624326C211yesmaximal, characteristic, complemented
2#22623705C211yesmaximal, characteristic, complemented
3#22622265C211yesmaximal, characteristic, complemented
4#22622262C211yesmaximal, characteristic, complemented
5#22622254C211yesmaximal, characteristic, complemented
6#22622251C211yesmaximal, characteristic, complemented
7#22621751C211yesmaximal, characteristic, complemented
8#22621748C211yesmaximal, characteristic, complemented
9#22621740C211yesmaximal, characteristic, complemented
10#22621737C211yesmaximal, characteristic, complemented
11#22621685C211yesmaximal, characteristic, complemented
12#22621684C211yesmaximal, characteristic, complemented
13#22621655C211yesmaximal, characteristic, complemented
14#22621654C211yesmaximal, characteristic, complemented
15#22621549C211yesmaximal, characteristic, complemented
16#22621545C211yesmaximal, characteristic, complemented
17#22621529C211yesmaximal, characteristic, complemented
18#22621525C211yesmaximal, characteristic, complemented
19#22620870C211yesmaximal, characteristic, complemented
20#22620847C211yesmaximal, characteristic, complemented
21#22620787C211yesmaximal, characteristic, complemented
22#22620785C211yesmaximal, characteristic, complemented
23#22620779C211yesmaximal, characteristic, complemented
24#22620777C211yesmaximal, characteristic, complemented
25#22619995C211yesmaximal, characteristic, complemented
26#22619984C211yesmaximal, characteristic, complemented
27#22619239C211yesmaximal, characteristic, complemented
28#22619235C211yesmaximal, characteristic, complemented
29#22619233C211yesmaximal, characteristic, complemented
30#22618995C211yesmaximal, characteristic, complemented
31C73×#3012C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556617C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39#17989333—21no—
40#17989332—21no—
41#17989295C2211yescharacteristic, complemented
42#17989292C2211yescharacteristic, complemented
43#17989291—21no—
44#17989256C2211yescharacteristic
45#17989256C2211yescharacteristic
46#17989256C2211yescharacteristic
47#17989256C2211yescharacteristic
48#17989256C2211yescharacteristic, complemented
49#17989255—21no—
50#17989255C2211yescharacteristic, complemented
51#17989239C2211yescharacteristic, complemented
52#17989238C2211yescharacteristic, complemented
53#17989237C2211yescharacteristic, complemented
54#17989236C2211yescharacteristic, complemented
55D4×C22⋊D73—21no—
56D4×C22⋊D73—21no—
57D4×C22⋊D73—21no—
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60D4×C22⋊D73C2211yescharacteristic
61D4×C22⋊D73C2211yescharacteristic
62D4×C22⋊D73C2211yescharacteristic
63#17989187—21no—
64#17989187—21no—
65#17989167C2211yescharacteristic, complemented
66#17989166—21no—
67#17989166C2211yescharacteristic, complemented
68#17989165C2211yescharacteristic, complemented
69#17989164—21no—
70#17989154—21no—
71#17989154C2211yescharacteristic
72#17989151—21no—
73#17989151C2211yescharacteristic
74#17989139C2211yescharacteristic, complemented
75#17989133—21no—
76#17989133C2211yescharacteristic
77#17989132C2211yescharacteristic, complemented
78C2×#14556587—21no—
79C2×#14556587C2211yescharacteristic
80#41×Dic73C2211yescharacteristic
81#17988962C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic, complemented
92#17988908C2211yescharacteristic, complemented
93#17988906C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988900C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988837C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988823C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988820C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988795C2211yescharacteristic, complemented
122#17988790C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988752C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic
135#17988749C2211yescharacteristic, complemented
136#17988748C2211yescharacteristic, complemented
137#17988740C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988738C2211yescharacteristic, complemented
140#17988738C2211yescharacteristic, complemented
141#17988737C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic, complemented
143#17988735C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988734C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic
147#17988732C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988732C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic, complemented
159#17988720C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161Q16×Dic73C2211yescharacteristic, complemented
162#17988679C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988588C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic, complemented
182C2×#14556512C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C73C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
190C2×#135×C73C2211yescharacteristic, complemented
191#537×C73C2211yescharacteristic, complemented
192#452×C73C2211yescharacteristic
193#452×C73C2211yescharacteristic, complemented
194#450×C73C2211yescharacteristic, complemented
195#450×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#417×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924027—21no—
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215C22×D292—21no—
216C22×D292C2311yescharacteristic
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227#14556618—42no—
228#14556617—42no—
229#14556615—42no—
230#14556614—42no—
231#14556612—42no—
232#14556611—42no—
233C2×#11924018C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×#11924015C2311yescharacteristic
241C2×#11924015C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924013C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924012C2311yescharacteristic
250C2×#11924011C2311yescharacteristic
251C2×#11924011C2311yescharacteristic
252C22×#10596831C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255#14556590C2311yescharacteristic
256#14556590C2311yescharacteristic
257#14556589D411yescharacteristic
258#14556589C2311yescharacteristic
259#14556587—21no—
260#14556587—21no—
261#14556587—21no—
262#14556587—21no—
263#14556587—21no—
264#14556587—21no—
265#14556587—21no—
266#14556587—21no—
267#14556587—21no—
268#14556587—21no—
269#14556587D411yescharacteristic
270#14556587C2311yescharacteristic
271#14556587C2311yescharacteristic
272#14556587C2311yescharacteristic
273#14556587C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556581—21no—
276#14556581—21no—
277#14556581—21no—
278#14556580—21no—
279#14556580D411yescharacteristic
280#14556578—21no—
281#14556578D411yescharacteristic
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556574—21no—
286#14556574—21no—
287#14556573—21no—
288#14556573—21no—
289#14556572—21no—
290#14556572—21no—
291#14556571—21no—
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567—21no—
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565—21no—
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563D411yescharacteristic
334#14556563D411yescharacteristic
335#14556563D411yescharacteristic
336#14556563D411yescharacteristic
337#14556562—21no—
338#14556562—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562—21no—
343#14556562—21no—
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556560—21no—
350#14556560—21no—
351#14556560—21no—
352#14556560—21no—
353#14556560—21no—
354#14556560—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361Q8×Dic73C2311yescharacteristic
362Q8×Dic73C2311yescharacteristic
363Q8×Dic73C2311yescharacteristic
364#14556556—21no—
365#14556556C2311yescharacteristic
366D4×Dic73—21no—
367D4×Dic73—21no—
368D4×Dic73C2311yescharacteristic
369D4×Dic73C2311yescharacteristic
370D4×Dic73C2311yescharacteristic
371#14556553C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73C2311yescharacteristic
379C4×C22⋊D73C2311yescharacteristic
380C4×C22⋊D73C2311yescharacteristic
381C4×C22⋊D73C2311yescharacteristic
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556550—21no—
386#14556550C2311yescharacteristic
387#14556547—21no—
388C2×C4⋊Dic73C2311yescharacteristic
389C2×#11924007—21no—
390C4⋊C4×D73—21no—
391C4⋊C4×D73C2311yescharacteristic
392C4⋊C4×D73C2311yescharacteristic
393C2×C4×Dic73—21no—
394C2×C4×Dic73C2311yescharacteristic
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
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#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443H(5,𝔽2)×C73—42no—
444H(5,𝔽2)×C73—42no—
445C2×#41×C73—21no—
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic
451C22×D4×C73—21no—
452C22×D4×C73—21no—
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C22×D4×C73C2311yescharacteristic
456C22×D4×C73C2311yescharacteristic
457AGL(1,ℤ/8)×C73—42no—
458#135×C73—42no—
459C2×Q16×C73C2311yescharacteristic
460C2×SD16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×SD16×C73C2311yescharacteristic
464C2×D8×C73C2311yescharacteristic
465C2×D8×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic
467C2×M16×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469C22⋊Q8×C73—21no—
470C22⋊Q8×C73C2311yescharacteristic
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73—21no—
473#121×C73—21no—
474#121×C73—21no—
475#121×C73C2311yescharacteristic
476#121×C73C2311yescharacteristic
477C2×C4⋊C4×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493#11924029—22no—
494#11924029—22no—
495#11924029—41no—
496#11924029—41no—
497#11924029—41no—
498#11924029—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—44no—
504#11924028—82no—
505#11924027—41no—
506#11924027—41no—
507#11924027—82no—
508#11924027—82no—
509C2×Dic146—21no—
510C2×Dic146—21no—
511C2×Dic146C2×D411yescharacteristic
512C2×Dic146C2411yescharacteristic
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—41no—
519C2×D292—41no—
520C2×D292—44no—
521C2×D292C2×D411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—82no—
551C2×C22⋊D73—82no—
552C2×C22⋊D73—82no—
553C2×C22⋊D73—82no—
554C2×C22⋊D73—82no—
555C2×C22⋊D73—82no—
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562D4×D73—22no—
563D4×D73—22no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—44no—
567D4×D73—44no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73C2×D411yescharacteristic
574C22×Dic73C2×D411yescharacteristic
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584#11924018—22no—
585#11924017—41no—
586#11924017—41no—
587#11924016—22no—
588#11924016—41no—
589#11924016—41no—
590#11924015—22no—
591#11924015—41no—
592#11924015—41no—
593D584—41no—
594D584—41no—
595#11924013—22no—
596#11924013—41no—
597#11924013—41no—
598#11924013—41no—
599#11924013—41no—
600#11924012—41no—
601#11924011—41no—
602#11924011—41no—
603C2×#10596831—41no—
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C8×D73—41no—
609C8×D73—41no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007C2×D411yescharacteristic
630#11924007C2×D411yescharacteristic
631#11924007C2×D411yescharacteristic
632#11924007C2×D411yescharacteristic
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73C2×D411yescharacteristic
645C22⋊Dic73C2×D411yescharacteristic
646C22⋊Dic73C2×D411yescharacteristic
647C22⋊Dic73C2×D411yescharacteristic
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2×D411yescharacteristic
669C4×Dic73C2411yescharacteristic
670C4×Dic73C2411yescharacteristic
671C24×C73—21no—
672C24×C73—21no—
673C24×C73—21no—
674#41×C73—22no—
675#41×C73—22no—
676#41×C73—22no—
677#41×C73—22no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—41no—
682#41×C73—44no—
683#41×C73—41no—
684#41×C73—41no—
685C2×Q8×C73C2×D411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×D4×C73—21no—
689C2×D4×C73—22no—
690C2×D4×C73—22no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—41no—
700C2×D4×C73—41no—
701C2×D4×C73—41no—
702C2×D4×C73—41no—
703C2×D4×C73—44no—
704C2×D4×C73—44no—
705C2×D4×C73—44no—
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2×D411yescharacteristic
708C2×D4×C73C2×D411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C2×D4×C73C2411yescharacteristic
711C2×D4×C73C2411yescharacteristic
712C2×D4×C73C2411yescharacteristic
713C22×C4×C73—21no—
714C22×C4×C73—21no—
715C22×C4×C73—21no—
716C22×C4×C73—21no—
717C22×C4×C73—21no—
718C22×C4×C73C2411yescharacteristic
719C22×C4×C73C2411yescharacteristic
720C22×C4×C73C2411yescharacteristic
721Q16×C73—22no—
722SD16×C73—22no—
723SD16×C73—22no—
724SD16×C73—41no—
725SD16×C73—41no—
726D8×C73—22no—
727D8×C73—41no—
728D8×C73—41no—
729M16×C73—41no—
730C2×C8×C73—41no—
731C2×C8×C73C2411yescharacteristic
732C2×C8×C73C2411yescharacteristic
733C2×C8×C73C2411yescharacteristic
734C2×C8×C73C2411yescharacteristic
735C4⋊C4×C73—21no—
736C4⋊C4×C73—21no—
737C4⋊C4×C73—21no—
738C4⋊C4×C73C2411yescharacteristic
739C4⋊C4×C73C2411yescharacteristic
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C22⋊C4×C73—21no—
743C22⋊C4×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—42no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73—81no—
755C23×C73—81no—
756C23×C73—81no—
757C23×C73C22×D411yescharacteristic
758C23×C73C22×D411yescharacteristic
759C23×C73C22×D411yescharacteristic
760C22×D73—21no—
761C22×D73—21no—
762C22×D73—21no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—21no—
777Q8×C73—41no—
778Q8×C73H(5,𝔽2)12yes—
779D4×C73—24no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—21no—
786D4×C73—21no—
787D4×C73—41no—
788D4×C73—41no—
789D4×C73—41no—
790D4×C73—42no—
791D4×C73—42no—
792D4×C73—42no—
793D4×C73—42no—
794D4×C73—42no—
795D4×C73—81no—
796D4×C73—81no—
797D4×C73—81no—
798D4×C73H(5,𝔽2)12yes—
799C2×C4×C73—24no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—42no—
811C2×C4×C73—42no—
812C2×C4×C73—81no—
813C2×C4×C73—81no—
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C2511yescharacteristic
818C22⋊D73—22no—
819C22⋊D73—22no—
820C22⋊D73—22no—
821C22⋊D73—22no—
822C22⋊D73—41no—
823C22⋊D73—41no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C22⋊D73—81no—
842C22⋊D73—81no—
843C22⋊D73—81no—
844C22⋊D73—81no—
845C22⋊D73—81no—
846C22⋊D73—81no—
847C22⋊D73—81no—
848C22⋊D73—81no—
849C2×Dic73—22no—
850C2×Dic73—22no—
851C2×Dic73—21no—
852C2×Dic73—21no—
853C2×Dic73—21no—
854C2×Dic73—21no—
855C2×Dic73—21no—
856C2×Dic73—42no—
857C2×Dic73—42no—
858C2×Dic73—42no—
859C2×Dic73—81no—
860C2×Dic73—81no—
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863C2×Dic73C22×D411yescharacteristic
864C2×Dic73C22×D411yescharacteristic
865C2×Dic73C22×D411yescharacteristic
866C2×Dic73C22×D411yescharacteristic
867D292—21no—
868D292—21no—
869D292—21no—
870D292—21no—
871D292—21no—
872D292—21no—
873D292—41no—
874D292—42no—
875D292—42no—
876D292—42no—
877D292—81no—
878D292—81no—
879C4×D73—21no—
880C4×D73—21no—
881C4×D73—21no—
882C4×D73—21no—
883C4×D73—42no—
884C4×D73—42no—
885C4×D73—42no—
886C4×D73—81no—
887C4×D73—81no—
888C4×D73—81no—
889C4×D73—81no—
890Dic146—21no—
891Dic146—21no—
892Dic146—41no—
893Dic146—42no—
894Dic146—81no—
895C8×C73—21no—
896C8×C73—21no—
897C8×C73—21no—
898C8×C73—21no—
899#10596831—21no—
900#10596831—21no—
901#10596831—21no—
902#10596831—21no—
903C22×C73—21no—
904C22×C73—22no—
905C22×C73—21no—
906C22×C73—21no—
907C22×C73—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—21no—
912C22×C73—21no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—41no—
922C22×C73—41no—
923C22×C73—41no—
924C22×C73—162no—
925C22×C73—162no—
926C22×C73—162no—
927C22×C73C23×D411yescharacteristic
928C2×D73—21no—
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—21no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—162no—
944C2×D73—162no—
945C2×D73—162no—
946C4×C73—21no—
947C4×C73—22no—
948C4×C73—21no—
949C4×C73—21no—
950C4×C73—41no—
951C4×C73—41no—
952C4×C73—41no—
953C4×C73C2×H(5,𝔽2)11yescharacteristic
954C4×C73C2×H(5,𝔽2)11yescharacteristic
955Dic73—21no—
956Dic73—21no—
957Dic73—21no—
958Dic73—21no—
959Dic73—41no—
960Dic73—41no—
961Dic73—41no—
962Dic73—41no—
963Dic73—41no—
964Dic73#57612yes—
965Dic73#57712yes—
966#61668—731nomaximal, Sylow
967C2×C73—41no—
968C2×C73—42no—
969C2×C73—41no—
970C2×C73—41no—
971C2×C73—81no—
972C2×C73—81no—
973C2×C73—81no—
974C2×C73#348411yescharacteristic
975C2×C73C2×#57611yescharacteristic
976C2×C73C2×#57711yescharacteristic
977D73—41no—
978D73—41no—
979D73—81no—
980D73—81no—
981D73—81no—
982#3548—731no—
983#3498—731no—
984#3333—731no—
985#3333—731no—
986#3332—731no—
987#3332—731no—
988#3295—731no—
989#3295—731no—
990#3294—731no—
991#3294—731no—
992#3287—731no—
993#3287—731no—
994#3284—731no—
995#3284—731no—
996#3274—731no—
997#3274—731no—
998#3272—731no—
999#3272—731no—
1000#3208—731no—
1001#3205—731no—
1002#3198—731no—
1003#3198—731no—
1004#3198—731no—
1005#3198—731no—
1006#3107—731no—
1007#3106—731no—
1008#3012—731no—
1009#3012—731no—
1010#3012—731no—
1011#3012D7311yescharacteristic, complemented
1012#2979—731no—
1013C73#6166811yescharacteristic, complemented, Sylow
1014C2×H(5,𝔽2)—731no—
1015C2×H(5,𝔽2)C2×D7311yescharacteristic
1016C2×AGL(1,ℤ/8)—731no—
1017C2×AGL(1,ℤ/8)—731no—
1018C2×AGL(1,ℤ/8)—731no—
1019C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1020C2×#135—731no—
1021C2×#135—731no—
1022C2×#135—731no—
1023C2×#135C2×D7311yescharacteristic, complemented
1024#562—1461no—
1025#562—1461no—
1026#554—731no—
1027#554—731no—
1028#554—1461no—
1029#550—731no—
1030#550—731no—
1031#550—731no—
1032#550—731no—
1033#550—731no—
1034#550—731no—
1035#550—1461no—
1036#547—731no—
1037#547—731no—
1038#547—731no—
1039#547—731no—
1040D42—731no—
1041D42—731no—
1042D42—731no—
1043D42—731no—
1044D42—1461no—
1045D42—1461no—
1046D42—1461no—
1047D42—1461no—
1048#540—1461no—
1049#540—1461no—
1050#537—731no—
1051#537—731no—
1052#537—731no—
1053#537—1461no—
1054#537—1461no—
1055#537C2×D7311yescharacteristic, complemented
1056#535—731no—
1057#535—731no—
1058#535—1461no—
1059#535—1461no—
1060#533—731no—
1061#532—731no—
1062#532—731no—
1063#532—1461no—
1064C2×#127—731no—
1065C2×#127—1461no—
1066C4×#41—731no—
1067#493—731no—
1068#493—731no—
1069#492—731no—
1070#492—731no—
1071#486—731no—
1072#486—731no—
1073#486—731no—
1074#486—731no—
1075#485—731no—
1076#485—731no—
1077#482—731no—
1078#482—731no—
1079#481—731no—
1080#481—731no—
1081#481—731no—
1082#481—731no—
1083#480—731no—
1084#480—731no—
1085#480—731no—
1086#480—731no—
1087#477—731no—
1088#476—731no—
1089#475—731no—
1090#474—731no—
1091#469—731no—
1092#469—731no—
1093#469—731no—
1094#469—731no—
1095#468—731no—
1096#468—731no—
1097#468—731no—
1098#468—731no—
1099#466—731no—
1100#466—731no—
1101#466—731no—
1102#466—731no—
1103#465—731no—
1104#465—731no—
1105#465—731no—
1106#465—731no—
1107#462—731no—
1108#461—731no—
1109#460—731no—
1110#460—731no—
1111#460—731no—
1112#460—731no—
1113#460—731no—
1114#459—731no—
1115#459—731no—
1116#459—731no—
1117#459—731no—
1118#459—731no—
1119#452—731no—
1120#452—731no—
1121#452—731no—
1122#452—731no—
1123#452C2×D7311yescharacteristic
1124#452C2×D7311yescharacteristic, complemented
1125#450—731no—
1126#450—731no—
1127#450—731no—
1128#450—731no—
1129#450—731no—
1130#450—731no—
1131#450C2×D7311yescharacteristic, complemented
1132#450C2×D7311yescharacteristic, complemented
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#449—731no—
1139#449—731no—
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449C2×D7311yescharacteristic
1146#449C2×D7311yescharacteristic, complemented
1147#447—731no—
1148#447—731no—
1149#447—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447C2×D7311yescharacteristic, complemented
1154#447C2×D7311yescharacteristic, complemented
1155C4×Q16—731no—
1156C4×Q16—731no—
1157C4×SD16—731no—
1158C4×SD16—731no—
1159C4×SD16—731no—
1160C4×SD16—731no—
1161C4×D8—731no—
1162C4×D8—731no—
1163#436—731no—
1164#436—731no—
1165#436—731no—
1166#436—731no—
1167C8×D4—731no—
1168C8×D4—731no—
1169C8×D4—731no—
1170C8×D4—731no—
1171#431—731no—
1172#431—731no—
1173#417—731no—
1174#417—731no—
1175#417—731no—
1176#417C2×D7311yescharacteristic, complemented
1177C2×#102—731no—
1178C2×#102—731no—
1179C2×#102—731no—
1180C2×#102C2×D7311yescharacteristic, complemented
1181#408—731no—
1182#408—731no—
1183#408—731no—
1184#408C2×D7311yescharacteristic, complemented
1185H(5,𝔽2)—42no—
1186H(5,𝔽2)—42no—
1187H(5,𝔽2)—2922no—
1188H(5,𝔽2)—2922no—
1189C2×#41—21no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—731no—
1193C2×#41—731no—
1194C2×#41—731no—
1195C2×#41—731no—
1196C2×#41—1461no—
1197C2×#41—1461no—
1198C2×#41—1461no—
1199C2×#41—1461no—
1200C2×#41C22×D7311yescharacteristic
1201C2×#41C22×D7311yescharacteristic
1202C2×#41C22×D7311yescharacteristic
1203C2×#41C22×D7311yescharacteristic
1204C2×#41C22×D7311yescharacteristic
1205C22×D4—21no—
1206C22×D4—21no—
1207C22×D4—21no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—1461no—
1212C22×D4—1461no—
1213C22×D4—1461no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4C22×D7311yescharacteristic
1221C22×D4C22×D7311yescharacteristic
1222C22×D4C22×D7311yescharacteristic
1223AGL(1,ℤ/8)—42no—
1224AGL(1,ℤ/8)—2922no—
1225AGL(1,ℤ/8)—2922no—
1226AGL(1,ℤ/8)—2922no—
1227#135—42no—
1228#135—2922no—
1229#135—2922no—
1230#135—2922no—
1231C2×Q16—731no—
1232C2×Q16C22×D7311yescharacteristic
1233C2×SD16—731no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16—731no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16C22×D7311yescharacteristic
1242C2×SD16C22×D7311yescharacteristic
1243C2×SD16C22×D7311yescharacteristic
1244C2×SD16C22×D7311yescharacteristic
1245C2×D8—731no—
1246C2×D8—731no—
1247C2×D8—731no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8C22×D7311yescharacteristic
1253C2×D8C22×D7311yescharacteristic
1254C2×D8C22×D7311yescharacteristic
1255C2×M16—731no—
1256C2×M16—731no—
1257C2×M16—731no—
1258C2×M16C22×D7311yescharacteristic
1259C22×C8—731no—
1260C22×C8—731no—
1261C22×C8—731no—
1262C22×C8C22×D7311yescharacteristic
1263C4⋊Q8—731no—
1264C4⋊Q8—731no—
1265C4⋊Q8—731no—
1266C4⋊Q8—731no—
1267#127—731no—
1268#127—731no—
1269#127—731no—
1270#127—731no—
1271#127—731no—
1272#127—731no—
1273#127—1461no—
1274#127—1461no—
1275#127—1461no—
1276#127—1461no—
1277#127—1461no—
1278#127—1461no—
1279#127—1461no—
1280#127—1461no—
1281#127—1461no—
1282#127—1461no—
1283#125—1461no—
1284#125—1461no—
1285#125—1461no—
1286#124—731no—
1287#124—731no—
1288#124—1461no—
1289#124—1461no—
1290#124—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299C22⋊Q8—21no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—731no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313C22⋊Q8—1461no—
1314C22⋊Q8C22×D7311yescharacteristic
1315C22⋊Q8C22×D7311yescharacteristic
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—731no—
1332#121—731no—
1333#121—731no—
1334#121—731no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121—1461no—
1359#121—1461no—
1360#121—1461no—
1361#121—1461no—
1362#121—1461no—
1363#121C22×D7311yescharacteristic
1364#121C22×D7311yescharacteristic
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377C4×Q8—731no—
1378C4×Q8—731no—
1379C4×Q8—731no—
1380C4×Q8—731no—
1381C4×Q8—1461no—
1382C4×D4—731no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—731no—
1389C4×D4—731no—
1390C4×D4—1461no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400C4×D4—1461no—
1401#117—731no—
1402#117—1461no—
1403#117—1461no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—731no—
1407C2×C4⋊C4—1461no—
1408C2×C4⋊C4—1461no—
1409C2×C4⋊C4C22×D7311yescharacteristic
1410C2×C42—731no—
1411C2×C42—1461no—
1412#107—731no—
1413#107—731no—
1414#107—731no—
1415#107—731no—
1416#106—731no—
1417#106—731no—
1418#106—731no—
1419#106—731no—
1420C4⋊C8—731no—
1421C4⋊C8—731no—
1422C4⋊C8—731no—
1423C4⋊C8—731no—
1424#103—731no—
1425#103—731no—
1426#103—731no—
1427#103—731no—
1428#103—731no—
1429#103—731no—
1430#103C22×D7311yescharacteristic
1431#103C22×D7311yescharacteristic
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102C22×D7311yescharacteristic
1451#102C22×D7311yescharacteristic
1452#102C22×D7311yescharacteristic
1453#102C22×D7311yescharacteristic
1454#102C22×D7311yescharacteristic
1455#102C22×D7311yescharacteristic
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8—731no—
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8C22×D7311yescharacteristic
1465C22⋊C8C22×D7311yescharacteristic
1466C22⋊C8C22×D7311yescharacteristic
1467C22⋊C8C22×D7311yescharacteristic
1468C4×C8—731no—
1469C4×C8—731no—
1470C4×C8—731no—
1471C4×C8—731no—
1472C24—21no—
1473C24—21no—
1474C24—21no—
1475C24—1461no—
1476C24—1461no—
1477C24—1461no—
1478#41—22no—
1479#41—22no—
1480#41—22no—
1481#41—22no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—44no—
1487#41—41no—
1488#41—41no—
1489#41—2924no—
1490#41—2921no—
1491#41—2921no—
1492#41—2921no—
1493#41—2921no—
1494#41—2921no—
1495#41—2921no—
1496#41—2921no—
1497#41—2921no—
1498#41—2921no—
1499#41—2921no—
1500#41—5842no—
1501#41—5842no—
1502#41—5842no—
1503#41—1462no—
1504#41—1462no—
1505C2×Q8—731no—
1506C2×Q8—731no—
1507C2×Q8—1461no—
1508C2×Q8—1461no—
1509C2×Q8D4×D7311yescharacteristic
1510C2×Q8C23×D7311yescharacteristic
1511C2×Q8C23×D7311yescharacteristic
1512C2×D4—21no—
1513C2×D4—22no—
1514C2×D4—22no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—41no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—44no—
1528C2×D4—44no—
1529C2×D4—44no—
1530C2×D4—2924no—
1531C2×D4—2921no—
1532C2×D4—2921no—
1533C2×D4—2924no—
1534C2×D4—2924no—
1535C2×D4—2921no—
1536C2×D4—2921no—
1537C2×D4—5842no—
1538C2×D4—5842no—
1539C2×D4—5842no—
1540C2×D4—5842no—
1541C2×D4—5842no—
1542C2×D4—5842no—
1543C2×D4—731no—
1544C2×D4—731no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4—1462no—
1570C2×D4—1462no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4—1461no—
1584C2×D4—1461no—
1585C2×D4D4×D7311yescharacteristic
1586C2×D4D4×D7311yescharacteristic
1587C2×D4D4×D7311yescharacteristic
1588C2×D4C23×D7311yescharacteristic
1589C2×D4C23×D7311yescharacteristic
1590C2×D4C23×D7311yescharacteristic
1591C2×D4C23×D7311yescharacteristic
1592C22×C4—21no—
1593C22×C4—21no—
1594C22×C4—21no—
1595C22×C4—21no—
1596C22×C4—21no—
1597C22×C4—731no—
1598C22×C4—731no—
1599C22×C4—731no—
1600C22×C4—731no—
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×C4C23×D7311yescharacteristic
1614C22×C4C23×D7311yescharacteristic
1615C22×C4C23×D7311yescharacteristic
1616Q16—22no—
1617Q16—1462no—
1618SD16—22no—
1619SD16—22no—
1620SD16—41no—
1621SD16—41no—
1622SD16—2921no—
1623SD16—2921no—
1624SD16—2921no—
1625SD16—2921no—
1626SD16—2921no—
1627SD16—2921no—
1628SD16—1462no—
1629SD16—1462no—
1630D8—22no—
1631D8—41no—
1632D8—41no—
1633D8—2921no—
1634D8—2921no—
1635D8—2921no—
1636D8—2921no—
1637D8—2921no—
1638D8—2921no—
1639D8—1462no—
1640M16—41no—
1641M16—2921no—
1642M16—2921no—
1643M16—2921no—
1644C2×C8—41no—
1645C2×C8—2921no—
1646C2×C8—2921no—
1647C2×C8—2921no—
1648C2×C8—731no—
1649C2×C8—731no—
1650C2×C8—731no—
1651C2×C8—731no—
1652C2×C8C23×D7311yescharacteristic
1653C2×C8C23×D7311yescharacteristic
1654C2×C8C23×D7311yescharacteristic
1655C2×C8C23×D7311yescharacteristic
1656C4⋊C4—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—731no—
1663C4⋊C4—731no—
1664C4⋊C4—731no—
1665C4⋊C4—731no—
1666C4⋊C4—731no—
1667C4⋊C4—1461no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4—1461no—
1680C4⋊C4—1461no—
1681C4⋊C4—1461no—
1682C4⋊C4C23×D7311yescharacteristic
1683C4⋊C4C23×D7311yescharacteristic
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—731no—
1689C22⋊C4—731no—
1690C22⋊C4—731no—
1691C22⋊C4—731no—
1692C22⋊C4—731no—
1693C22⋊C4—731no—
1694C22⋊C4—731no—
1695C22⋊C4—731no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C42—731no—
1718C42—731no—
1719C42—731no—
1720C42—731no—
1721C42—1461no—
1722C42—1461no—
1723C42—1461no—
1724C42—1461no—
1725C42—1461no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—2922no—
1740C23—2922no—
1741C23—2922no—
1742C23—5841no—
1743C23—5841no—
1744C23—5841no—
1745C23—5841no—
1746C23—5841no—
1747C23—5841no—
1748C23—731no—
1749C23—731no—
1750C23—1461no—
1751C23—1461no—
1752C23—1461no—
1753C23C2×D4×D7311yescharacteristic
1754C23C2×D4×D7311yescharacteristic
1755C23C2×D4×D7311yescharacteristic
1756Q8—21no—
1757Q8—21no—
1758Q8—21no—
1759Q8—41no—
1760Q8—2921no—
1761Q8—2922no—
1762Q8—5841no—
1763Q8—1461no—
1764Q8—1461no—
1765Q8#1455663612yes—
1766D4—24no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—41no—
1775D4—41no—
1776D4—41no—
1777D4—42no—
1778D4—42no—
1779D4—42no—
1780D4—42no—
1781D4—42no—
1782D4—81no—
1783D4—81no—
1784D4—81no—
1785D4—2922no—
1786D4—2922no—
1787D4—2922no—
1788D4—2921no—
1789D4—2922no—
1790D4—2922no—
1791D4—2922no—
1792D4—2922no—
1793D4—2922no—
1794D4—2922no—
1795D4—2922no—
1796D4—2921no—
1797D4—2921no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—5841no—
1807D4—5841no—
1808D4—5841no—
1809D4—5841no—
1810D4—5841no—
1811D4—5841no—
1812D4—5841no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—1462no—
1819D4—1462no—
1820D4—1462no—
1821D4—1462no—
1822D4—1461no—
1823D4—1461no—
1824D4—1461no—
1825D4—1461no—
1826D4—1461no—
1827D4—1461no—
1828D4#1455663612yes—
1829C2×C4—24no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—2922no—
1845C2×C4—2922no—
1846C2×C4—2922no—
1847C2×C4—2922no—
1848C2×C4—2922no—
1849C2×C4—2922no—
1850C2×C4—5841no—
1851C2×C4—5841no—
1852C2×C4—5841no—
1853C2×C4—5841no—
1854C2×C4—5841no—
1855C2×C4—5841no—
1856C2×C4—731no—
1857C2×C4—731no—
1858C2×C4—731no—
1859C2×C4—731no—
1860C2×C4—731no—
1861C2×C4—731no—
1862C2×C4—1461no—
1863C2×C4—1461no—
1864C2×C4—1461no—
1865C2×C4—1461no—
1866C2×C4—1461no—
1867C2×C4—1462no—
1868C2×C4—1462no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4C2×D4×D7311yescharacteristic
1874C2×C4C2×D4×D7311yescharacteristic
1875C2×C4C2×D4×D7311yescharacteristic
1876C2×C4C24×D7311yescharacteristic
1877C8—21no—
1878C8—21no—
1879C8—21no—
1880C8—21no—
1881C8—1461no—
1882C8—1461no—
1883C8—1461no—
1884C8—1461no—
1885C22—21no—
1886C22—22no—
1887C22—21no—
1888C22—21no—
1889C22—21no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—162no—
1907C22—162no—
1908C22—162no—
1909C22—2921no—
1910C22—2921no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—2921no—
1916C22—2921no—
1917C22—2921no—
1918C22—11682no—
1919C22—11682no—
1920C22—11682no—
1921C22—1461no—
1922C22—1461no—
1923C22—1461no—
1924C22—1461no—
1925C22—1461no—
1926C22—1461no—
1927C22C22×D4×D7311yescharacteristic
1928C4—21no—
1929C4—22no—
1930C4—21no—
1931C4—21no—
1932C4—41no—
1933C4—41no—
1934C4—41no—
1935C4—2921no—
1936C4—2921no—
1937C4—2921no—
1938C4—2921no—
1939C4—2921no—
1940C4—732no—
1941C4—732no—
1942C4—1461no—
1943C4—1461no—
1944C4—1461no—
1945C4—1461no—
1946C4C2×#1455663611yescharacteristic
1947C4C2×#1455663611yescharacteristic
1948C2—41no—
1949C2—41no—
1950C2—41no—
1951C2—42no—
1952C2—81no—
1953C2—81no—
1954C2—81no—
1955C2—2921no—
1956C2—2921no—
1957C2—5841no—
1958C2—5841no—
1959C2—5841no—
1960C2#2262356011yescharacteristic
1961C2#576×D7311yescharacteristic
1962C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3012C2
socleC22×C73C23×D4
hypercenter#3012D73
hypocenterC73#61668
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #22624326C2semidirect
2. #22623705C2semidirect
3. #22622265C2semidirect
4. #22622262C2semidirect
5. #22622254C2semidirect
6. #22622251C2semidirect
7. #22621751C2semidirect
8. #22621748C2semidirect
9. #22621740C2semidirect
10. #22621737C2semidirect
11. #22621685C2semidirect
12. #22621684C2semidirect
13. #22621655C2semidirect
14. #22621654C2semidirect
15. #22621549C2semidirect
16. #22621545C2semidirect
17. #22621529C2semidirect
18. #22621525C2semidirect
19. #22620870C2semidirect
20. #22620847C2semidirect
21. #22620787C2semidirect
22. #22620785C2semidirect
23. #22620779C2semidirect
24. #22620777C2semidirect
25. #22619995C2semidirect
26. #22619984C2semidirect
27. #22619239C2semidirect
28. #22619235C2semidirect
29. #22619233C2semidirect
30. #22618995C2semidirect
31. C73×#3012C2semidirect
33. C2×#14556618C22semidirect
34. C2×#14556617C22semidirect
35. C2×#14556615C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556612C22semidirect
38. C2×#14556611C22semidirect
41. #17989295C22semidirect
42. #17989292C22semidirect
48. #17989256C22semidirect
50. #17989255C22semidirect
51. #17989239C22semidirect
52. #17989238C22semidirect
53. #17989237C22semidirect
54. #17989236C22semidirect
65. #17989167C22semidirect
67. #17989166C22semidirect
68. #17989165C22semidirect
74. #17989139C22semidirect
77. #17989132C22semidirect
81. #17988962C22semidirect
82. #17988962C22semidirect
83. #17988958C22semidirect
84. #17988958C22semidirect
85. #17988932C22semidirect
86. #17988932C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988929C22semidirect
90. #17988925C22semidirect
91. #17988912C22semidirect
92. #17988908C22semidirect
93. #17988906C22semidirect
94. #17988905C22semidirect
95. #17988904C22semidirect
96. #17988904C22semidirect
97. #17988901C22semidirect
98. #17988900C22semidirect
99. #17988899C22semidirect
100. #17988899C22semidirect
101. #17988880C22semidirect
102. #17988875C22semidirect
103. #17988870C22semidirect
104. #17988865C22semidirect
105. #17988840C22semidirect
106. #17988839C22semidirect
107. #17988838C22semidirect
108. #17988837C22semidirect
109. #17988835C22semidirect
110. #17988833C22semidirect
111. #17988832C22semidirect
112. #17988830C22semidirect
113. #17988823C22semidirect
114. #17988822C22semidirect
115. #17988821C22semidirect
116. #17988820C22semidirect
117. #17988818C22semidirect
118. #17988816C22semidirect
119. #17988815C22semidirect
120. #17988813C22semidirect
121. #17988795C22semidirect
122. #17988790C22semidirect
123. #17988786C22semidirect
124. #17988786C22semidirect
125. #17988785C22semidirect
126. #17988785C22semidirect
127. #17988785C22semidirect
128. #17988781C22semidirect
129. #17988781C22semidirect
130. #17988780C22semidirect
131. #17988780C22semidirect
132. #17988780C22semidirect
133. #17988752C22semidirect
135. #17988749C22semidirect
136. #17988748C22semidirect
137. #17988740C22semidirect
138. #17988739C22semidirect
139. #17988738C22semidirect
140. #17988738C22semidirect
141. #17988737C22semidirect
142. #17988736C22semidirect
143. #17988735C22semidirect
144. #17988734C22semidirect
145. #17988734C22semidirect
147. #17988732C22semidirect
148. #17988732C22semidirect
149. #17988732C22semidirect
150. #17988731C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988723C22semidirect
156. #17988722C22semidirect
157. #17988721C22semidirect
158. #17988721C22semidirect
159. #17988720C22semidirect
160. #17988719C22semidirect
161. Q16×Dic73C22semidirect
162. #17988679C22semidirect
163. #17988678C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
166. #17988672C22semidirect
167. D8×Dic73C22semidirect
168. #17988667C22semidirect
169. #17988663C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988662C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988637C22semidirect
178. #17988637C22semidirect
179. #17988588C22semidirect
180. #17988587C22semidirect
181. #17988587C22semidirect
182. C2×#14556512C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988554C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
190. C2×#135×C73C22semidirect
191. #537×C73C22semidirect
193. #452×C73C22semidirect
194. #450×C73C22semidirect
195. #450×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. #447×C73C22semidirect
200. #417×C73C22semidirect
201. C2×#102×C73C22semidirect
202. #408×C73C22semidirect
1011. #3012D73semidirect
1013. C73#61668semidirect
1019. C2×AGL(1,ℤ/8)C2×D73semidirect
1023. C2×#135C2×D73semidirect
1055. #537C2×D73semidirect
1124. #452C2×D73semidirect
1131. #450C2×D73semidirect
1132. #450C2×D73semidirect
1146. #449C2×D73semidirect
1153. #447C2×D73semidirect
1154. #447C2×D73semidirect
1176. #417C2×D73semidirect
1180. C2×#102C2×D73semidirect
1184. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243262
#226237052
#226222652
#226222622
#226222542
#226222512
#226217512
#226217482
#226217402
#226217372
#226216852
#226216842
#226216552
#226216542
#226215492
#226215452
#226215292
#226215252
#226208702
#226208472
#226207872
#226207852
#226207792
#226207772
#226199952
#226199842
#226192392
#226192352
#226192332
#226189952
C73×#30122
#6166873