Finite Group Databasebeta

← #33979695

Subgroups — #33979695

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624298C211yesmaximal, characteristic, complemented
2#22624000C211yesmaximal, characteristic, complemented
3#22623007C211yesmaximal, characteristic, complemented
4#22622950C211yesmaximal, characteristic, complemented
5#22622762C211yesmaximal, characteristic, complemented
6#22622639C211yesmaximal, characteristic, complemented
7#22622022C211yesmaximal, characteristic, complemented
8#22621973C211yesmaximal, characteristic, complemented
9#22621956C211yesmaximal, characteristic, complemented
10#22621939C211yesmaximal, characteristic, complemented
11#22621863C211yesmaximal, characteristic, complemented
12#22621781C211yesmaximal, characteristic, complemented
13#22621657C211yesmaximal, characteristic, complemented
14#22621614C211yesmaximal, characteristic, complemented
15#22621471C211yesmaximal, characteristic, complemented
16#22621460C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22621397C211yesmaximal, characteristic, complemented
19#22621353C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22621029C211yesmaximal, characteristic, complemented
22#22620998C211yesmaximal, characteristic, complemented
23#22620972C211yesmaximal, characteristic, complemented
24#22620194C211yesmaximal, characteristic, complemented
25#22620113C211yesmaximal, characteristic, complemented
26#22620075C211yesmaximal, characteristic, complemented
27#22619474C211yesmaximal, characteristic, complemented
28#22619432C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556611C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic
36#17989326—21no—
37#17989325—21no—
38#17989311C2211yescharacteristic, complemented
39#17989308C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989283C2211yescharacteristic, complemented
43#17989282—21no—
44#17989280—21no—
45#17989279C2211yescharacteristic
46#17989272—21no—
47#17989260—21no—
48#17989260—21no—
49#17989258C2211yescharacteristic, complemented
50#17989258C2211yescharacteristic, complemented
51#17989256C2211yescharacteristic
52#17989239C2211yescharacteristic
53#17989234C2211yescharacteristic
54#17989227—21no—
55#17989225C2211yescharacteristic
56#17989225C2211yescharacteristic, complemented
57D4×C22⋊D73C2211yescharacteristic
58#17989210C2211yescharacteristic, complemented
59#17989210C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic
61#17989198C2211yescharacteristic, complemented
62#17989181—21no—
63#17989175—21no—
64#17989174—21no—
65#17989173—21no—
66#17989166—21no—
67#17989155C2211yescharacteristic
68#17989154C2211yescharacteristic, complemented
69#17989152—21no—
70#17989133C2211yescharacteristic, complemented
71#17989132C2211yescharacteristic, complemented
72#17989123C2211yescharacteristic, complemented
73#17989117C2211yescharacteristic
74#17989114—21no—
75C2×#14556586—21no—
76#17989070C2211yescharacteristic, complemented
77#17989059C2211yescharacteristic, complemented
78#41×Dic73C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic
81#17988973C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic
83#17988961C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988941C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic
94#17988908C2211yescharacteristic, complemented
95#17988901C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic
108#17988830C2211yescharacteristic
109#17988827C2211yescharacteristic, complemented
110#17988823C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic
112#17988818C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic
116#17988811C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic
129#17988800C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic
131#17988795C2211yescharacteristic, complemented
132#17988794C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988785C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988783C2211yescharacteristic, complemented
139#17988782C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988747C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988734C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic
154#17988732C2211yescharacteristic, complemented
155#17988732C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988715C2211yescharacteristic, complemented
159#17988714C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic
161#17988696C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173#17988655C2211yescharacteristic
174D4×#10596831C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988641C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988589C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic, complemented
190#547×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic, complemented
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211#14556618—42no—
212#14556611—42no—
213#14556611—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229D8×D73—42no—
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556588C2311yescharacteristic
238#14556587—21no—
239#14556587—21no—
240#14556587C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586D411yescharacteristic
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584D411yescharacteristic
259#14556583C2311yescharacteristic
260#14556582—21no—
261#14556582C2311yescharacteristic
262#14556581—21no—
263#14556581—21no—
264#14556581D411yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577D411yescharacteristic
276#14556576—21no—
277#14556575—21no—
278#14556575—21no—
279#14556575D411yescharacteristic
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556572D411yescharacteristic
289#14556571—21no—
290#14556571—21no—
291#14556571—21no—
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568D411yescharacteristic
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556565—21no—
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563D411yescharacteristic
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562C2311yescharacteristic
327#14556561—21no—
328#14556561—21no—
329#14556560—21no—
330#14556560—21no—
331#14556560—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338Q8×Dic73C2311yescharacteristic
339Q8×Dic73C2311yescharacteristic
340Q8×Dic73C2311yescharacteristic
341C4×Dic146C2311yescharacteristic
342C4×Dic146C2311yescharacteristic
343#14556556—21no—
344C4×D292C2311yescharacteristic
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353#14556553—21no—
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550—21no—
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556550C2311yescharacteristic
371#14556549—21no—
372#14556549—21no—
373#14556549C2311yescharacteristic
374#14556548C2311yescharacteristic
375#14556547—21no—
376#14556547—21no—
377C2×C4⋊Dic73—21no—
378C2×C4⋊Dic73C2311yescharacteristic
379C2×#11924007—21no—
380C4⋊C4×D73—21no—
381C2×#11924005—21no—
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73—21no—
387C2×C4×Dic73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
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#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460#123×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464#121×C73—21no—
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73—21no—
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—82no—
493#11924027—82no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—82no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—22no—
523D4×D73—41no—
524D4×D73—41no—
525D4×D73—41no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73C2411yescharacteristic
541#11924018—41no—
542#11924018—41no—
543#11924017—41no—
544#11924016—22no—
545#11924015—41no—
546#11924015—41no—
547#11924015—41no—
548#11924015—41no—
549#11924015—41no—
550D584—41no—
551D584—41no—
552#11924013—22no—
553#11924013—22no—
554#11924013—41no—
555#11924013—41no—
556#11924011—41no—
557C2×#10596831—41no—
558C2×#10596831—41no—
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645#41×C73—22no—
646#41×C73—22no—
647#41×C73—41no—
648#41×C73—41no—
649#41×C73—41no—
650#41×C73—41no—
651C2×Q8×C73C2411yescharacteristic
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—41no—
660C2×D4×C73—41no—
661C2×D4×C73C2×D411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—22no—
680D8×C73—22no—
681M16×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—41no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73H(5,𝔽2)12yes—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—41no—
762C22⋊D73—41no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—41no—
784C2×Dic73—41no—
785C2×Dic73—42no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—81no—
804D292—81no—
805D292—81no—
806C4×D73—21no—
807C4×D73—21no—
808C4×D73—42no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—22no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—162no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62024—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73—41no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3546—731no—
896#3521—731no—
897#3402—731no—
898#3397—731no—
899#3376—731no—
900#3366—731no—
901#3315—731no—
902#3311—731no—
903#3310—731no—
904#3309—731no—
905#3304—731no—
906#3297—731no—
907#3284—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3267D7311yescharacteristic, complemented
912#3264—731no—
913#3263—731no—
914#3258—731no—
915#3247—731no—
916#3224—731no—
917#3222—731no—
918#3219—731no—
919#3124—731no—
920#3118—731no—
921#3115—731no—
922#3045—731no—
923#3041—731no—
924#3035—731no—
925#2992—731no—
926C73#6202411yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
929C2×#135—731no—
930C2×#135—731no—
931C2×#135C2×D7311yescharacteristic, complemented
932C22×D8—731no—
933#560—1461no—
934#560—1461no—
935#556—731no—
936#556—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#552—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#550—731no—
948#550—731no—
949#547—731no—
950#547C2×D7311yescharacteristic, complemented
951#546—731no—
952#546—731no—
953#546—731no—
954#546—1461no—
955#546C2×D7311yescharacteristic, complemented
956D42—731no—
957#542—731no—
958#542—731no—
959#542—731no—
960#541—731no—
961#539—1461no—
962#538—1461no—
963#538—1461no—
964#538—1461no—
965#537—1461no—
966#535—731no—
967#535—731no—
968#535—1461no—
969#532—731no—
970#532—731no—
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#126—1461no—
975#520—731no—
976#518—731no—
977C4×#41—731no—
978#497—731no—
979#497C2×D7311yescharacteristic, complemented
980#496—731no—
981#496—731no—
982#495—731no—
983#492—731no—
984#491—731no—
985#490—731no—
986#490—731no—
987#489—731no—
988#488—731no—
989#486—731no—
990#485—731no—
991#484—731no—
992#482—731no—
993#482—731no—
994#482—731no—
995#480—731no—
996#479—731no—
997#478—731no—
998#478—731no—
999#478—731no—
1000#477—731no—
1001#476—731no—
1002#476—731no—
1003#475—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#470C2×D7311yescharacteristic, complemented
1008#469—731no—
1009#468—731no—
1010#467—731no—
1011#466—731no—
1012#466—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461C2×D7311yescharacteristic, complemented
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452C2×D7311yescharacteristic, complemented
1053#452C2×D7311yescharacteristic, complemented
1054#450—731no—
1055#450—731no—
1056#450—731no—
1057#450C2×D7311yescharacteristic, complemented
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449C2×D7311yescharacteristic
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442C2×D7311yescharacteristic, complemented
1071#440—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076C4×Q16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435C2×D7311yescharacteristic, complemented
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8—731no—
1092#418—731no—
1093#417—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4C22×D7311yescharacteristic
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—2922no—
1112#135—42no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
1118C2×Q16C22×D7311yescharacteristic
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16C22×D7311yescharacteristic
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—2922no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16C22×D7311yescharacteristic
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8C22×D7311yescharacteristic
1150#127—731no—
1151#127—731no—
1152#127—731no—
1153#127—731no—
1154#127—1461no—
1155#127—1461no—
1156#126—731no—
1157#126—731no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#125—731no—
1173#125—731no—
1174#125—731no—
1175#125—1461no—
1176#125—1461no—
1177#125—1461no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—731no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124C22×D7311yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—731no—
1194#123—731no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—731no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8C22×D7311yescharacteristic
1219C22⋊Q8C22×D7311yescharacteristic
1220C22⋊Q8C22×D7311yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
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#121C22×D7311yescharacteristic
1250#120—21no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—1461no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4C22×D7311yescharacteristic
1292C4×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294#117—731no—
1295#117—731no—
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C42—731no—
1316C2×C42—1461no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97C22×D7311yescharacteristic
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—22no—
1383#41—22no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—2921no—
1393#41—2921no—
1394#41—5842no—
1395#41—5842no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×Q8C23×D7311yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—2921no—
1413C2×D4—5842no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4D4×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—2921no—
1467Q16—2921no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—1462no—
1480D8—22no—
1481D8—22no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490C2×C8—41no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4D4×D7311yescharacteristic
1586C22⋊C4D4×D7311yescharacteristic
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—2922no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—2921no—
1626Q8—5841no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2921no—
1643D4—2921no—
1644D4—2922no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666D4—1461no—
1667D4#1455663612yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2921no—
1685C2×C4—2921no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—11682no—
1749C22—11682no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359111yescharacteristic
1787C2#2262470411yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#62024
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22624298C2semidirect
2. #22624000C2semidirect
3. #22623007C2semidirect
4. #22622950C2semidirect
5. #22622762C2semidirect
6. #22622639C2semidirect
7. #22622022C2semidirect
8. #22621973C2semidirect
9. #22621956C2semidirect
10. #22621939C2semidirect
11. #22621863C2semidirect
12. #22621781C2semidirect
13. #22621657C2semidirect
14. #22621614C2semidirect
15. #22621471C2semidirect
16. #22621460C2semidirect
17. #22621405C2semidirect
18. #22621397C2semidirect
19. #22621353C2semidirect
20. #22621252C2semidirect
21. #22621029C2semidirect
22. #22620998C2semidirect
23. #22620972C2semidirect
24. #22620194C2semidirect
25. #22620113C2semidirect
26. #22620075C2semidirect
27. #22619474C2semidirect
28. #22619432C2semidirect
29. #22619382C2semidirect
30. #22619071C2semidirect
31. C73×#3267C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556611C22semidirect
34. C2×#14556611C22semidirect
38. #17989311C22semidirect
39. #17989308C22semidirect
40. #17989306C22semidirect
41. #17989296C22semidirect
42. #17989283C22semidirect
49. #17989258C22semidirect
50. #17989258C22semidirect
56. #17989225C22semidirect
58. #17989210C22semidirect
59. #17989210C22semidirect
61. #17989198C22semidirect
68. #17989154C22semidirect
70. #17989133C22semidirect
71. #17989132C22semidirect
72. #17989123C22semidirect
76. #17989070C22semidirect
77. #17989059C22semidirect
78. #41×Dic73C22semidirect
79. #17988980C22semidirect
81. #17988973C22semidirect
83. #17988961C22semidirect
84. #17988954C22semidirect
85. #17988952C22semidirect
86. #17988950C22semidirect
87. #17988945C22semidirect
88. #17988941C22semidirect
89. #17988932C22semidirect
90. #17988931C22semidirect
91. #17988920C22semidirect
92. #17988912C22semidirect
94. #17988908C22semidirect
95. #17988901C22semidirect
96. #17988895C22semidirect
97. #17988887C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988880C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988870C22semidirect
104. #17988870C22semidirect
105. #17988865C22semidirect
106. #17988844C22semidirect
109. #17988827C22semidirect
110. #17988823C22semidirect
112. #17988818C22semidirect
113. #17988818C22semidirect
114. #17988818C22semidirect
116. #17988811C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988807C22semidirect
120. #17988807C22semidirect
121. #17988807C22semidirect
122. #17988805C22semidirect
123. #17988805C22semidirect
124. #17988805C22semidirect
126. #17988804C22semidirect
127. #17988801C22semidirect
129. #17988800C22semidirect
131. #17988795C22semidirect
132. #17988794C22semidirect
133. #17988790C22semidirect
134. #17988785C22semidirect
135. #17988785C22semidirect
136. #17988785C22semidirect
137. #17988785C22semidirect
138. #17988783C22semidirect
139. #17988782C22semidirect
143. #17988780C22semidirect
144. #17988748C22semidirect
145. #17988748C22semidirect
146. #17988747C22semidirect
147. #17988747C22semidirect
148. #17988739C22semidirect
151. #17988734C22semidirect
152. #17988734C22semidirect
154. #17988732C22semidirect
155. #17988732C22semidirect
158. #17988715C22semidirect
159. #17988714C22semidirect
161. #17988696C22semidirect
162. #17988690C22semidirect
163. #17988690C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988688C22semidirect
167. Q16×Dic73C22semidirect
168. C4×#11924016C22semidirect
169. C4×#11924013C22semidirect
170. #17988667C22semidirect
171. #17988658C22semidirect
174. D4×#10596831C22semidirect
175. #17988650C22semidirect
176. #17988649C22semidirect
177. #17988645C22semidirect
178. #17988641C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
183. #17988589C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #17988582C22semidirect
187. C2×#14556512C22semidirect
189. C2×#135×C73C22semidirect
190. #547×C73C22semidirect
191. #546×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
194. #465×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
911. #3267D73semidirect
926. C73#62024semidirect
931. C2×#135C2×D73semidirect
950. #547C2×D73semidirect
955. #546C2×D73semidirect
979. #497C2×D73semidirect
1007. #470C2×D73semidirect
1017. #465C2×D73semidirect
1037. #461C2×D73semidirect
1052. #452C2×D73semidirect
1053. #452C2×D73semidirect
1057. #450C2×D73semidirect
1070. #442C2×D73semidirect
1083. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242982
#226240002
#226230072
#226229502
#226227622
#226226392
#226220222
#226219732
#226219562
#226219392
#226218632
#226217812
#226216572
#226216142
#226214712
#226214602
#226214052
#226213972
#226213532
#226212522
#226210292
#226209982
#226209722
#226201942
#226201132
#226200752
#226194742
#226194322
#226193822
#226190712
C73×#32672
#6202473