Finite Group Databasebeta

← #33978993

Subgroups — #33978993

Order 18688.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623889C211yesmaximal, characteristic, complemented
2#22623530C211yesmaximal, characteristic, complemented
3#22623014C211yesmaximal, characteristic, complemented
4#22622992C211yesmaximal, characteristic, complemented
5#22622770C211yesmaximal, characteristic, complemented
6#22622704C211yesmaximal, characteristic, complemented
7#22622097C211yesmaximal, characteristic, complemented
8#22622065C211yesmaximal, characteristic, complemented
9#22621999C211yesmaximal, characteristic, complemented
10#22621967C211yesmaximal, characteristic, complemented
11#22621826C211yesmaximal, characteristic, complemented
12#22621776C211yesmaximal, characteristic, complemented
13#22621666C211yesmaximal, characteristic, complemented
14#22621641C211yesmaximal, characteristic, complemented
15#22621512C211yesmaximal, characteristic, complemented
16#22621499C211yesmaximal, characteristic, complemented
17#22621420C211yesmaximal, characteristic, complemented
18#22621328C211yesmaximal, characteristic, complemented
19#22621277C211yesmaximal, characteristic, complemented
20#22621253C211yesmaximal, characteristic, complemented
21#22620966C211yesmaximal, characteristic, complemented
22#22620913C211yesmaximal, characteristic, complemented
23#22620893C211yesmaximal, characteristic, complemented
24#22620100C211yesmaximal, characteristic, complemented
25#22620033C211yesmaximal, characteristic, complemented
26#22619950C211yesmaximal, characteristic, complemented
27#22619423C211yesmaximal, characteristic, complemented
28#22619382C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3268C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic, complemented
33C2×#14556611C2211yescharacteristic, complemented
34C2×Q16×D73C2211yescharacteristic, complemented
35C2×SD16×D73C2211yescharacteristic
36#17989323—21no—
37#17989323C2211yescharacteristic, complemented
38#17989320C2211yescharacteristic
39#17989316C2211yescharacteristic, complemented
40#17989307—21no—
41#17989307C2211yescharacteristic, complemented
42#17989306C2211yescharacteristic
43#17989301—21no—
44#17989284—21no—
45#17989284—21no—
46#17989284C2211yescharacteristic
47#17989284C2211yescharacteristic, complemented
48#17989265—21no—
49#17989263—21no—
50#17989250C2211yescharacteristic
51#17989246C2211yescharacteristic
52#17989244C2211yescharacteristic
53#17989244C2211yescharacteristic
54#17989244C2211yescharacteristic, complemented
55#17989234C2211yescharacteristic
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989205—21no—
59#17989172—21no—
60#17989169—21no—
61#17989135—21no—
62#17989135C2211yescharacteristic, complemented
63#17989133C2211yescharacteristic
64#17989123C2211yescharacteristic
65#17989119C2211yescharacteristic
66#17989118—21no—
67#17989118—21no—
68#17989118C2211yescharacteristic
69#17989118C2211yescharacteristic, complemented
70#17989118C2211yescharacteristic, complemented
71C2×#14556578C2211yescharacteristic
72#124×D73C2211yescharacteristic
73#17989060—21no—
74#41×Dic73C2211yescharacteristic, complemented
75#41×Dic73C2211yescharacteristic, complemented
76C4×#11924027—21no—
77C4×#11924027C2211yescharacteristic
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988978C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic
81#17988974C2211yescharacteristic, complemented
82#17988970C2211yescharacteristic
83#17988970C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic
88#17988940C2211yescharacteristic
89#17988940C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic
94#17988908C2211yescharacteristic
95#17988904C2211yescharacteristic
96#17988896C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic
102#17988885C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988883C2211yescharacteristic, complemented
105#17988877C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic
108#17988833C2211yescharacteristic
109#17988828C2211yescharacteristic, complemented
110#17988820C2211yescharacteristic
111#17988820C2211yescharacteristic
112#17988815C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic
115#17988814C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic
121#17988808C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic
124#17988807C2211yescharacteristic
125#17988807C2211yescharacteristic, complemented
126#17988807C2211yescharacteristic, complemented
127#17988807C2211yescharacteristic, complemented
128#17988806C2211yescharacteristic
129#17988804C2211yescharacteristic, complemented
130#17988804C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic
133#17988800C2211yescharacteristic
134#17988800C2211yescharacteristic
135#17988800C2211yescharacteristic
136#17988800C2211yescharacteristic, complemented
137#17988800C2211yescharacteristic, complemented
138#17988800C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988790C2211yescharacteristic, complemented
141#17988785C2211yescharacteristic
142#17988784C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988745C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic
150#17988732C2211yescharacteristic
151#17988730C2211yescharacteristic, complemented
152#17988725C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic
154#17988724C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic
161#17988695C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988691C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic
165#17988687C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988597C2211yescharacteristic, complemented
183#17988592C2211yescharacteristic
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic, complemented
190#550×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic
196#459×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556621—42no—
212#14556611—42no—
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218Q16×D73—42no—
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227SD16×D73—42no—
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591—21no—
235#14556591C2311yescharacteristic
236#14556590—21no—
237#14556589C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556582—21no—
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556579C2311yescharacteristic
257#14556578—21no—
258#14556578—21no—
259#14556578—21no—
260#14556578—21no—
261#14556578—21no—
262#14556578—21no—
263#14556578—21no—
264#14556578—21no—
265#14556578C2311yescharacteristic
266#14556578C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556575—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556568—21no—
298#14556565C2311yescharacteristic
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556562—21no—
304#14556562—21no—
305#14556562—21no—
306#14556562—21no—
307#14556562—21no—
308#14556562—21no—
309#14556562—21no—
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556560—21no—
314#14556559—21no—
315#14556559—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320C4×Dic146—21no—
321C4×Dic146—21no—
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556—21no—
327#14556556D411yescharacteristic
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73D411yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556550—21no—
363#14556550—21no—
364#14556550—21no—
365#14556550C2311yescharacteristic
366#14556550C2311yescharacteristic
367#14556549—21no—
368#14556549D411yescharacteristic
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373#14556547D411yescharacteristic
374#14556547D411yescharacteristic
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
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#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
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×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#127×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924028—41no—
486#11924028—41no—
487#11924027—42no—
488#11924027—44no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—22no—
500Q8×D73—41no—
501Q8×D73—41no—
502Q8×D73—41no—
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—44no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—41no—
516D4×D73—41no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535Dic292—41no—
536Dic292—41no—
537#11924018—22no—
538#11924018—22no—
539#11924018—41no—
540#11924017—41no—
541#11924016—41no—
542#11924016—41no—
543#11924016—41no—
544#11924016—41no—
545#11924016—41no—
546#11924016—41no—
547#11924015—22no—
548#11924013—41no—
549#11924013—41no—
550#11924012—41no—
551C2×#10596831—41no—
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C8×D73—41no—
557C8×D73—41no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
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×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675Q16×C73—22no—
676SD16×C73—22no—
677SD16×C73—22no—
678SD16×C73—41no—
679SD16×C73—41no—
680D8×C73—41no—
681D8×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684M16×C73—41no—
685C2×C8×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C23×C73C22×D411yescharacteristic
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73H(5,𝔽2)12yes—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—41no—
733D4×C73—42no—
734D4×C73—42no—
735D4×C73—42no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
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—42no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C2511yescharacteristic
759C22⋊D73—22no—
760C22⋊D73—22no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—41no—
777C2×Dic73—41no—
778C2×Dic73—41no—
779C2×Dic73—41no—
780C2×Dic73—42no—
781C2×Dic73—42no—
782C2×Dic73—42no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793D292—21no—
794D292—21no—
795C4×D73—22no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—41no—
799C4×D73—42no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—41no—
811Dic146—42no—
812Dic146—42no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—162no—
842C22×C73C23×D411yescharacteristic
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—162no—
849C2×D73#57512yes—
850C4×C73—21no—
851C4×C73—22no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73C2×H(5,𝔽2)11yescharacteristic
859C4×C73#58511yescharacteristic
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—41no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—41no—
876C2×C73—41no—
877C2×C73—81no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73#348811yescharacteristic
882C2×C73C2×#57511yescharacteristic
883C2×C73#358411yescharacteristic
884D73—22no—
885D73—81no—
886#3514—731no—
887#3480—731no—
888#3403—731no—
889#3401—731no—
890#3377—731no—
891#3371—731no—
892#3320—731no—
893#3318—731no—
894#3313—731no—
895#3311—731no—
896#3301—731no—
897#3297—731no—
898#3285—731no—
899#3282—731no—
900#3271—731no—
901#3270—731no—
902#3268D7311yescharacteristic, complemented
903#3265—731no—
904#3256—731no—
905#3250—731no—
906#3247—731no—
907#3219—731no—
908#3213—731no—
909#3211—731no—
910#3117—731no—
911#3111—731no—
912#3102—731no—
913#3040—731no—
914#3035—731no—
915C2×#464—731no—
916#2990—731no—
917C73#6199211yescharacteristic, complemented, Sylow
918C2×#137—731no—
919C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
920C2×#135—731no—
921C2×#135C2×D7311yescharacteristic, complemented
922C22×Q16—731no—
923C22×SD16—731no—
924#559—731no—
925#559—731no—
926#559—1461no—
927#557—731no—
928#556—731no—
929#556—731no—
930#556—1461no—
931#555—1461no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—1461no—
937#551—1461no—
938#550C2×D7311yescharacteristic, complemented
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#548—731no—
943#548—731no—
944#546—731no—
945#546—1461no—
946#546C2×D7311yescharacteristic
947D42—731no—
948#542—1461no—
949#538—1461no—
950#538—1461no—
951#532—731no—
952#532—731no—
953#532—1461no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#518—1461no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—1461no—
968C2×C4×Q8—731no—
969#497—731no—
970#496—731no—
971#496—731no—
972#496C2×D7311yescharacteristic
973#495—731no—
974#495—731no—
975#491—731no—
976#490—731no—
977#489—731no—
978#489—731no—
979#488—731no—
980#488—731no—
981#485—731no—
982#485—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#477—731no—
996#476—731no—
997#470—731no—
998#469—731no—
999#468—731no—
1000#468C2×D7311yescharacteristic, complemented
1001#467—731no—
1002#466—731no—
1003#466—731no—
1004#466C2×D7311yescharacteristic
1005#465—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464C2×D7311yescharacteristic
1023#463—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#462—731no—
1034#461—731no—
1035#460—731no—
1036#460—731no—
1037#459—731no—
1038#459C2×D7311yescharacteristic, complemented
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452C2×D7311yescharacteristic, complemented
1043#451—731no—
1044#451—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449C2×D7311yescharacteristic
1049#449C2×D7311yescharacteristic, complemented
1050#448—731no—
1051#448—731no—
1052#448—731no—
1053#448—731no—
1054#447—731no—
1055#447—731no—
1056#447C2×D7311yescharacteristic
1057#446—731no—
1058#446—731no—
1059#442—731no—
1060#441—731no—
1061#441—731no—
1062#441—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440C2×D7311yescharacteristic, complemented
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#435C2×D7311yescharacteristic, complemented
1075C8×D4—731no—
1076C8×D4—731no—
1077#432—731no—
1078#432—731no—
1079#431—731no—
1080#423—731no—
1081C2×C4⋊C8—731no—
1082C2×C4⋊C8—731no—
1083#419—731no—
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#103—731no—
1088C2×#102—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—1461no—
1092C2×#41C22×D7311yescharacteristic
1093C2×#41C22×D7311yescharacteristic
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×Q8—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101#137—2922no—
1102AGL(1,ℤ/8)—42no—
1103#135—42no—
1104#135—2922no—
1105C2×Q16—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8C22×D7311yescharacteristic
1128C2×D8C22×D7311yescharacteristic
1129C2×D8C22×D7311yescharacteristic
1130C2×D8C22×D7311yescharacteristic
1131C2×M16—731no—
1132C2×M16C22×D7311yescharacteristic
1133C22×C8—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8C22×D7311yescharacteristic
1137C4⋊Q8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8—1461no—
1141#127—21no—
1142#127—731no—
1143#127C22×D7311yescharacteristic
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#125—731no—
1156#125—731no—
1157#125—731no—
1158#125—1461no—
1159#125—1461no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124C22×D7311yescharacteristic
1181#123—21no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—731no—
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#121C22×D7311yescharacteristic
1227#120—21no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—1461no—
1242C4×Q8—1461no—
1243C4×Q8—1461no—
1244C4×Q8—1461no—
1245C4×Q8C22×D7311yescharacteristic
1246C4×D4—21no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—731no—
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293#117—1461no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—1461no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C42—731no—
1303C2×C42—731no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306C2×C42—1461no—
1307C2×C42—1461no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#106—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8C22×D7311yescharacteristic
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8C22×D7311yescharacteristic
1363C22⋊C8C22×D7311yescharacteristic
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97C22×D7311yescharacteristic
1368C4×C8—731no—
1369C4×C8—731no—
1370C24—21no—
1371C24—1461no—
1372#41—22no—
1373#41—22no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—2921no—
1379#41—2921no—
1380#41—2924no—
1381#41—2922no—
1382C2×Q8—2921no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8—1462no—
1394C2×Q8—1461no—
1395C2×Q8—1461no—
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—2924no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4D4×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—731no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4C23×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—22no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—2921no—
1468SD16—2921no—
1469SD16—1462no—
1470D8—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—2921no—
1475D8—2921no—
1476M16—41no—
1477M16—2921no—
1478C2×C8—41no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—2921no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8—731no—
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C2×C8C23×D7311yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4D4×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1570C22⋊C4D4×D7311yescharacteristic
1571C42—21no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42C23×D7311yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—81no—
1598C23—81no—
1599C23—2922no—
1600C23—5841no—
1601C23—5841no—
1602C23—731no—
1603C23—1461no—
1604C23C2×D4×D7311yescharacteristic
1605C23C2×D4×D7311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—2922no—
1610Q8—2922no—
1611Q8—2921no—
1612Q8—5841no—
1613Q8—5841no—
1614Q8—1461no—
1615Q8—1461no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8#1455663612yes—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—41no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—1462no—
1648D4—1462no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—2922no—
1664C2×C4—2921no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2921no—
1669C2×C4—2921no—
1670C2×C4—2921no—
1671C2×C4—2921no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—1462no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4—1461no—
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—162no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—732no—
1732C22—11682no—
1733C22—1461no—
1734C22—1461no—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—22no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—2921no—
1745C4—2921no—
1746C4—2921no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—1461no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4C2×#1455663611yescharacteristic
1759C4#1798942211yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—5841no—
1767C2—1462no—
1768C2#2262359111yescharacteristic
1769C2#575×D7311yescharacteristic
1770C2#2262469911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3268C2
socleC22×C73C23×D4
hypercenter#3268D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #22623889C2semidirect
2. #22623530C2semidirect
3. #22623014C2semidirect
4. #22622992C2semidirect
5. #22622770C2semidirect
6. #22622704C2semidirect
7. #22622097C2semidirect
8. #22622065C2semidirect
9. #22621999C2semidirect
10. #22621967C2semidirect
11. #22621826C2semidirect
12. #22621776C2semidirect
13. #22621666C2semidirect
14. #22621641C2semidirect
15. #22621512C2semidirect
16. #22621499C2semidirect
17. #22621420C2semidirect
18. #22621328C2semidirect
19. #22621277C2semidirect
20. #22621253C2semidirect
21. #22620966C2semidirect
22. #22620913C2semidirect
23. #22620893C2semidirect
24. #22620100C2semidirect
25. #22620033C2semidirect
26. #22619950C2semidirect
27. #22619423C2semidirect
28. #22619382C2semidirect
29. #464×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3268C2semidirect
32. C2×#14556621C22semidirect
33. C2×#14556611C22semidirect
34. C2×Q16×D73C22semidirect
37. #17989323C22semidirect
39. #17989316C22semidirect
41. #17989307C22semidirect
47. #17989284C22semidirect
54. #17989244C22semidirect
62. #17989135C22semidirect
69. #17989118C22semidirect
70. #17989118C22semidirect
74. #41×Dic73C22semidirect
75. #41×Dic73C22semidirect
78. C4×Q8×D73C22semidirect
79. #17988978C22semidirect
81. #17988974C22semidirect
83. #17988970C22semidirect
84. #17988954C22semidirect
86. #17988947C22semidirect
89. #17988940C22semidirect
90. #17988929C22semidirect
91. #17988925C22semidirect
92. #17988924C22semidirect
96. #17988896C22semidirect
97. #17988893C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
100. #17988890C22semidirect
102. #17988885C22semidirect
103. #17988885C22semidirect
104. #17988883C22semidirect
105. #17988877C22semidirect
106. #17988843C22semidirect
109. #17988828C22semidirect
112. #17988815C22semidirect
113. #17988815C22semidirect
115. #17988814C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
121. #17988808C22semidirect
122. #17988808C22semidirect
125. #17988807C22semidirect
126. #17988807C22semidirect
127. #17988807C22semidirect
129. #17988804C22semidirect
130. #17988804C22semidirect
131. #17988801C22semidirect
136. #17988800C22semidirect
137. #17988800C22semidirect
138. #17988800C22semidirect
139. #17988795C22semidirect
140. #17988790C22semidirect
142. #17988784C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988749C22semidirect
147. #17988745C22semidirect
148. #17988744C22semidirect
151. #17988730C22semidirect
152. #17988725C22semidirect
154. #17988724C22semidirect
155. #17988724C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
161. #17988695C22semidirect
162. #17988692C22semidirect
163. #17988691C22semidirect
165. #17988687C22semidirect
166. #17988684C22semidirect
167. Q16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
169. #17988672C22semidirect
170. #17988667C22semidirect
172. #17988659C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988597C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #103×D73C22semidirect
189. C2×#135×C73C22semidirect
190. #550×C73C22semidirect
193. #468×C73C22semidirect
196. #459×C73C22semidirect
197. #452×C73C22semidirect
199. #449×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
902. #3268D73semidirect
917. C73#61992semidirect
921. C2×#135C2×D73semidirect
938. #550C2×D73semidirect
1000. #468C2×D73semidirect
1038. #459C2×D73semidirect
1042. #452C2×D73semidirect
1049. #449C2×D73semidirect
1066. #440C2×D73semidirect
1074. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238892
#226235302
#226230142
#226229922
#226227702
#226227042
#226220972
#226220652
#226219992
#226219672
#226218262
#226217762
#226216662
#226216412
#226215122
#226214992
#226214202
#226213282
#226212772
#226212532
#226209662
#226209132
#226208932
#226201002
#226200332
#226199502
#226194232
#226193822
#464×D732
#226190512
C73×#32682
#6199273